The fundamental solutions to Pell's equation (also known as "minimal solutions") presented below were computed in 2012 using a Python program that implements the chakravala method (attributed to Bhaskara II). $N$ is skipped if it is not square-free (i.e., if it is a perfect square or a multiple of a square).
| $N$ | $x$ | $y$ | Fundamental Solution |
|---|---|---|---|
| $8002$ | $12574413865763$ | $140568650922$ | $12574413865763^{2} \, - \, $$8002$$ \, \cdot \, 140568650922^{2} = 1$ |
| $8003$ | $76574994236478$ | $855973982369$ | $76574994236478^{2} \, - \, $$8003$$ \, \cdot \, 855973982369^{2} = 1$ |
| $8005$ | $6190794883826404489$ | $69193571361455268$ | $6190794883826404489^{2} \, - \, $$8005$$ \, \cdot \, 69193571361455268^{2} = 1$ |
| $8006$ | $35850516912378763716875711308113279365$ | $400670740856704528307861089970811198$ | $35850516912378763716875711308113279365^{2} \, - \, $$8006$$ \, \cdot \, 400670740856704528307861089970811198^{2} = 1$ |
| $8007$ | $3799399$ | $42460$ | $3799399^{2} \, - \, $$8007$$ \, \cdot \, 42460^{2} = 1$ |
| $8009$ | $2994612736807980103094414326704971754979051992821787420135830228061148047198843170450000001$ | $33461971160981340917421889000756682014869253888253377037949932572795862711179153196990000$ | $2994612736807980103094414326704971754979051992821787420135830228061148047198843170450000001^{2} \, - \, $$8009$$ \, \cdot \, 33461971160981340917421889000756682014869253888253377037949932572795862711179153196990000^{2} = 1$ |
| $8011$ | $874018946343860822837210485078038130821495698266254502309463746279984552490$ | $9765117676022524646156117223741039159787030310298367588081066048007235747$ | $874018946343860822837210485078038130821495698266254502309463746279984552490^{2} \, - \, $$8011$$ \, \cdot \, 9765117676022524646156117223741039159787030310298367588081066048007235747^{2} = 1$ |
| $8013$ | $10053994998895514798281053751$ | $112315861720136641776524700$ | $10053994998895514798281053751^{2} \, - \, $$8013$$ \, \cdot \, 112315861720136641776524700^{2} = 1$ |
| $8014$ | $37282060858119845133646041844456463083136145935$ | $416461867253815981452705744479936600905883004$ | $37282060858119845133646041844456463083136145935^{2} \, - \, $$8014$$ \, \cdot \, 416461867253815981452705744479936600905883004^{2} = 1$ |
| $8015$ | $413344$ | $4617$ | $413344^{2} \, - \, $$8015$$ \, \cdot \, 4617^{2} = 1$ |
| $8017$ | $4423464554290236907946137384581101267233$ | $49403373968726479286530474395001084392$ | $4423464554290236907946137384581101267233^{2} \, - \, $$8017$$ \, \cdot \, 49403373968726479286530474395001084392^{2} = 1$ |
| $8018$ | $17255449601$ | $192705120$ | $17255449601^{2} \, - \, $$8018$$ \, \cdot \, 192705120^{2} = 1$ |
| $8021$ | $62993405228436426249$ | $703365119439919900$ | $62993405228436426249^{2} \, - \, $$8021$$ \, \cdot \, 703365119439919900^{2} = 1$ |
| $8022$ | $61870248763$ | $690781238$ | $61870248763^{2} \, - \, $$8022$$ \, \cdot \, 690781238^{2} = 1$ |
| $8023$ | $393128$ | $4389$ | $393128^{2} \, - \, $$8023$$ \, \cdot \, 4389^{2} = 1$ |
| $8026$ | $8703984682629383388830651566720427067508276992383564028416176334337518951251$ | $97155757090044395992772334265217431200580686971360218475578459137411784050$ | $8703984682629383388830651566720427067508276992383564028416176334337518951251^{2} \, - \, $$8026$$ \, \cdot \, 97155757090044395992772334265217431200580686971360218475578459137411784050^{2} = 1$ |
| $8027$ | $4927635001$ | $54999900$ | $4927635001^{2} \, - \, $$8027$$ \, \cdot \, 54999900^{2} = 1$ |
| $8029$ | $3385783259676816171808275303062455$ | $37785782851033186634997356320284$ | $3385783259676816171808275303062455^{2} \, - \, $$8029$$ \, \cdot \, 37785782851033186634997356320284^{2} = 1$ |
| $8030$ | $80789391$ | $901564$ | $80789391^{2} \, - \, $$8030$$ \, \cdot \, 901564^{2} = 1$ |
| $8031$ | $28568917490151799293036719754265$ | $318793143246035812202016820652$ | $28568917490151799293036719754265^{2} \, - \, $$8031$$ \, \cdot \, 318793143246035812202016820652^{2} = 1$ |
| $8033$ | $239977875293239401$ | $2677517514622940$ | $239977875293239401^{2} \, - \, $$8033$$ \, \cdot \, 2677517514622940^{2} = 1$ |
| $8034$ | $229516474045$ | $2560636606$ | $229516474045^{2} \, - \, $$8034$$ \, \cdot \, 2560636606^{2} = 1$ |
| $8035$ | $79752408702542412761606149846$ | $889714908846615094479511743$ | $79752408702542412761606149846^{2} \, - \, $$8035$$ \, \cdot \, 889714908846615094479511743^{2} = 1$ |
| $8038$ | $35998633911942404805787021366431031084698342753068793054257477$ | $401524471743707255017105254231154165114776422969039603350434$ | $35998633911942404805787021366431031084698342753068793054257477^{2} \, - \, $$8038$$ \, \cdot \, 401524471743707255017105254231154165114776422969039603350434^{2} = 1$ |
| $8039$ | $9202956246192852862572460602152003722680$ | $102642292393302545710785612880538353171$ | $9202956246192852862572460602152003722680^{2} \, - \, $$8039$$ \, \cdot \, 102642292393302545710785612880538353171^{2} = 1$ |
| $8041$ | $551753880430901373260365272535$ | $6153048879817054515744906108$ | $551753880430901373260365272535^{2} \, - \, $$8041$$ \, \cdot \, 6153048879817054515744906108^{2} = 1$ |
| $8042$ | $530338608272328099603$ | $5913862329127841482$ | $530338608272328099603^{2} \, - \, $$8042$$ \, \cdot \, 5913862329127841482^{2} = 1$ |
| $8043$ | $2370066047$ | $26427216$ | $2370066047^{2} \, - \, $$8043$$ \, \cdot \, 26427216^{2} = 1$ |
| $8045$ | $28827962091561670561$ | $321403734059764104$ | $28827962091561670561^{2} \, - \, $$8045$$ \, \cdot \, 321403734059764104^{2} = 1$ |
| $8047$ | $4281972292766843542412$ | $47733892655201084913$ | $4281972292766843542412^{2} \, - \, $$8047$$ \, \cdot \, 47733892655201084913^{2} = 1$ |
| $8049$ | $29384215$ | $327524$ | $29384215^{2} \, - \, $$8049$$ \, \cdot \, 327524^{2} = 1$ |
| $8051$ | $974170$ | $10857$ | $974170^{2} \, - \, $$8051$$ \, \cdot \, 10857^{2} = 1$ |
| $8053$ | $122858011318495564675756140305745767199045322870429469342986534108128140667321948849360649$ | $1369066777115206654132033104494937885309464417792694615241794932122752485217643817245980$ | $122858011318495564675756140305745767199045322870429469342986534108128140667321948849360649^{2} \, - \, $$8053$$ \, \cdot \, 1369066777115206654132033104494937885309464417792694615241794932122752485217643817245980^{2} = 1$ |
| $8054$ | $792788585774525308333644973053553439769932965$ | $8833881639981338811562878473513996198776434$ | $792788585774525308333644973053553439769932965^{2} \, - \, $$8054$$ \, \cdot \, 8833881639981338811562878473513996198776434^{2} = 1$ |
| $8057$ | $53948016863$ | $601019832$ | $53948016863^{2} \, - \, $$8057$$ \, \cdot \, 601019832^{2} = 1$ |
| $8058$ | $10853651$ | $120910$ | $10853651^{2} \, - \, $$8058$$ \, \cdot \, 120910^{2} = 1$ |
| $8059$ | $26183690$ | $291669$ | $26183690^{2} \, - \, $$8059$$ \, \cdot \, 291669^{2} = 1$ |
| $8061$ | $473868069937009963824908981162759649891532897833225273448024032095$ | $5277922217441394752042979563775957154717855301336591757948031272$ | $473868069937009963824908981162759649891532897833225273448024032095^{2} \, - \, $$8061$$ \, \cdot \, 5277922217441394752042979563775957154717855301336591757948031272^{2} = 1$ |
| $8062$ | $108532128436626167295157$ | $1208751213762802666302$ | $108532128436626167295157^{2} \, - \, $$8062$$ \, \cdot \, 1208751213762802666302^{2} = 1$ |
| $8063$ | $1505045421276$ | $16761052135$ | $1505045421276^{2} \, - \, $$8063$$ \, \cdot \, 16761052135^{2} = 1$ |
| $8065$ | $16086798217753082385728946705549210311593650113017000596769$ | $179129629849396679373243039111895966873963005783746886312$ | $16086798217753082385728946705549210311593650113017000596769^{2} \, - \, $$8065$$ \, \cdot \, 179129629849396679373243039111895966873963005783746886312^{2} = 1$ |
| $8066$ | $223230107197974203382051$ | $2485556610444959675510$ | $223230107197974203382051^{2} \, - \, $$8066$$ \, \cdot \, 2485556610444959675510^{2} = 1$ |
| $8067$ | $575088362$ | $6402927$ | $575088362^{2} \, - \, $$8067$$ \, \cdot \, 6402927^{2} = 1$ |
| $8069$ | $156248822852148321801$ | $1739429760943488380$ | $156248822852148321801^{2} \, - \, $$8069$$ \, \cdot \, 1739429760943488380^{2} = 1$ |
| $8070$ | $539$ | $6$ | $539^{2} \, - \, $$8070$$ \, \cdot \, 6^{2} = 1$ |
| $8071$ | $3491118388403442731666372910200$ | $38859830585541551111317949763$ | $3491118388403442731666372910200^{2} \, - \, $$8071$$ \, \cdot \, 38859830585541551111317949763^{2} = 1$ |
| $8074$ | $5056525$ | $56274$ | $5056525^{2} \, - \, $$8074$$ \, \cdot \, 56274^{2} = 1$ |
| $8077$ | $212089557301096932300067849$ | $2359903498765019909987220$ | $212089557301096932300067849^{2} \, - \, $$8077$$ \, \cdot \, 2359903498765019909987220^{2} = 1$ |
| $8078$ | $41735221263$ | $464355716$ | $41735221263^{2} \, - \, $$8078$$ \, \cdot \, 464355716^{2} = 1$ |
| $8079$ | $4001726295499740021498254681844676$ | $44521375855254254611642593508545$ | $4001726295499740021498254681844676^{2} \, - \, $$8079$$ \, \cdot \, 44521375855254254611642593508545^{2} = 1$ |
| $8081$ | $219548112068242026166620113211043474700402552540132364801$ | $2442289562831448188755821759319738425621222675143116960$ | $219548112068242026166620113211043474700402552540132364801^{2} \, - \, $$8081$$ \, \cdot \, 2442289562831448188755821759319738425621222675143116960^{2} = 1$ |
| $8083$ | $120833$ | $1344$ | $120833^{2} \, - \, $$8083$$ \, \cdot \, 1344^{2} = 1$ |
| $8086$ | $8154855953077956254238396174426966534720901199$ | $90687916757356045972841837945068483111472460$ | $8154855953077956254238396174426966534720901199^{2} \, - \, $$8086$$ \, \cdot \, 90687916757356045972841837945068483111472460^{2} = 1$ |
| $8087$ | $50693838991504585722813528$ | $563717425169005068946747$ | $50693838991504585722813528^{2} \, - \, $$8087$$ \, \cdot \, 563717425169005068946747^{2} = 1$ |
| $8089$ | $32076259496893828809322316471266070148654593149136200536695448529769337299806944818314846478326298704169118033480008411183967565371763745972155086749442049$ | $356645132019365417375267406920617470524858106535305814634368386289280914662506195699925976709093190245182461194019659551746240219304305982326224367411840$ | $32076259496893828809322316471266070148654593149136200536695448529769337299806944818314846478326298704169118033480008411183967565371763745972155086749442049^{2} \, - \, $$8089$$ \, \cdot \, 356645132019365417375267406920617470524858106535305814634368386289280914662506195699925976709093190245182461194019659551746240219304305982326224367411840^{2} = 1$ |
| $8090$ | $1619$ | $18$ | $1619^{2} \, - \, $$8090$$ \, \cdot \, 18^{2} = 1$ |
| $8093$ | $26764861787330063570328689582658097324774887699849$ | $297515937248248018943421951605354455748325474860$ | $26764861787330063570328689582658097324774887699849^{2} \, - \, $$8093$$ \, \cdot \, 297515937248248018943421951605354455748325474860^{2} = 1$ |
| $8094$ | $2699$ | $30$ | $2699^{2} \, - \, $$8094$$ \, \cdot \, 30^{2} = 1$ |
| $8095$ | $3239$ | $36$ | $3239^{2} \, - \, $$8095$$ \, \cdot \, 36^{2} = 1$ |
| $8097$ | $5399$ | $60$ | $5399^{2} \, - \, $$8097$$ \, \cdot \, 60^{2} = 1$ |
| $8098$ | $8099$ | $90$ | $8099^{2} \, - \, $$8098$$ \, \cdot \, 90^{2} = 1$ |
| $8099$ | $90$ | $1$ | $90^{2} \, - \, $$8099$$ \, \cdot \, 1^{2} = 1$ |
| $8101$ | $16201$ | $180$ | $16201^{2} \, - \, $$8101$$ \, \cdot \, 180^{2} = 1$ |
| $8102$ | $8101$ | $90$ | $8101^{2} \, - \, $$8102$$ \, \cdot \, 90^{2} = 1$ |
| $8103$ | $5401$ | $60$ | $5401^{2} \, - \, $$8103$$ \, \cdot \, 60^{2} = 1$ |
| $8105$ | $3241$ | $36$ | $3241^{2} \, - \, $$8105$$ \, \cdot \, 36^{2} = 1$ |
| $8106$ | $2701$ | $30$ | $2701^{2} \, - \, $$8106$$ \, \cdot \, 30^{2} = 1$ |
| $8110$ | $1621$ | $18$ | $1621^{2} \, - \, $$8110$$ \, \cdot \, 18^{2} = 1$ |
| $8111$ | $73665054893515606412124479824991909281680$ | $817945403333110589603097853074493240903$ | $73665054893515606412124479824991909281680^{2} \, - \, $$8111$$ \, \cdot \, 817945403333110589603097853074493240903^{2} = 1$ |
| $8113$ | $119454103$ | $1326204$ | $119454103^{2} \, - \, $$8113$$ \, \cdot \, 1326204^{2} = 1$ |
| $8114$ | $5281052793602273425$ | $58627720316008404$ | $5281052793602273425^{2} \, - \, $$8114$$ \, \cdot \, 58627720316008404^{2} = 1$ |
| $8115$ | $1081$ | $12$ | $1081^{2} \, - \, $$8115$$ \, \cdot \, 12^{2} = 1$ |
| $8117$ | $2616903004140233845105294735396161960122187849$ | $29046235404758372109879371905603062032624980$ | $2616903004140233845105294735396161960122187849^{2} \, - \, $$8117$$ \, \cdot \, 29046235404758372109879371905603062032624980^{2} = 1$ |
| $8119$ | $571382543814047000$ | $6341262004930539$ | $571382543814047000^{2} \, - \, $$8119$$ \, \cdot \, 6341262004930539^{2} = 1$ |
| $8121$ | $178254022615$ | $1978037788$ | $178254022615^{2} \, - \, $$8121$$ \, \cdot \, 1978037788^{2} = 1$ |
| $8122$ | $9452705911499189687186810789928084223$ | $104887722154292425617807595305199632$ | $9452705911499189687186810789928084223^{2} \, - \, $$8122$$ \, \cdot \, 104887722154292425617807595305199632^{2} = 1$ |
| $8123$ | $231470104621786802$ | $2568246360393531$ | $231470104621786802^{2} \, - \, $$8123$$ \, \cdot \, 2568246360393531^{2} = 1$ |
| $8126$ | $76457535$ | $848168$ | $76457535^{2} \, - \, $$8126$$ \, \cdot \, 848168^{2} = 1$ |
| $8129$ | $35644719617059391303471973118950848359374999$ | $395345355514082901632650396093890229662500$ | $35644719617059391303471973118950848359374999^{2} \, - \, $$8129$$ \, \cdot \, 395345355514082901632650396093890229662500^{2} = 1$ |
| $8130$ | $541$ | $6$ | $541^{2} \, - \, $$8130$$ \, \cdot \, 6^{2} = 1$ |
| $8131$ | $283997344895996809679489863280761145$ | $3149504979287788647346919204984748$ | $283997344895996809679489863280761145^{2} \, - \, $$8131$$ \, \cdot \, 3149504979287788647346919204984748^{2} = 1$ |
| $8133$ | $24651130804172023868175398399$ | $273345205046472869947944480$ | $24651130804172023868175398399^{2} \, - \, $$8133$$ \, \cdot \, 273345205046472869947944480^{2} = 1$ |
| $8135$ | $2253941772888644$ | $24989865224331$ | $2253941772888644^{2} \, - \, $$8135$$ \, \cdot \, 24989865224331^{2} = 1$ |
| $8137$ | $19801701329602917847793024076035096144368351$ | $219518106394159360951917385165345347285960$ | $19801701329602917847793024076035096144368351^{2} \, - \, $$8137$$ \, \cdot \, 219518106394159360951917385165345347285960^{2} = 1$ |
| $8138$ | $61328593$ | $679836$ | $61328593^{2} \, - \, $$8138$$ \, \cdot \, 679836^{2} = 1$ |
| $8139$ | $86869899170$ | $962905779$ | $86869899170^{2} \, - \, $$8139$$ \, \cdot \, 962905779^{2} = 1$ |
| $8141$ | $120649499465961205879374521513469613671395301375$ | $1337170069876257268244031722326147364838876608$ | $120649499465961205879374521513469613671395301375^{2} \, - \, $$8141$$ \, \cdot \, 1337170069876257268244031722326147364838876608^{2} = 1$ |
| $8142$ | $39883$ | $442$ | $39883^{2} \, - \, $$8142$$ \, \cdot \, 442^{2} = 1$ |
| $8143$ | $5040643378849029537415959430343024$ | $55859076988225381650069341017545$ | $5040643378849029537415959430343024^{2} \, - \, $$8143$$ \, \cdot \, 55859076988225381650069341017545^{2} = 1$ |
| $8146$ | $178734612581708347966051$ | $1980324955749069828510$ | $178734612581708347966051^{2} \, - \, $$8146$$ \, \cdot \, 1980324955749069828510^{2} = 1$ |
| $8147$ | $2496732527435961497282$ | $27661336579635610647$ | $2496732527435961497282^{2} \, - \, $$8147$$ \, \cdot \, 27661336579635610647^{2} = 1$ |
| $8149$ | $609953023409225026049$ | $6756849247384323360$ | $609953023409225026049^{2} \, - \, $$8149$$ \, \cdot \, 6756849247384323360^{2} = 1$ |
| $8151$ | $693824$ | $7685$ | $693824^{2} \, - \, $$8151$$ \, \cdot \, 7685^{2} = 1$ |
| $8153$ | $47006369499007$ | $520592598096$ | $47006369499007^{2} \, - \, $$8153$$ \, \cdot \, 520592598096^{2} = 1$ |
| $8155$ | $3115372791330017126$ | $34498327435193115$ | $3115372791330017126^{2} \, - \, $$8155$$ \, \cdot \, 34498327435193115^{2} = 1$ |
| $8157$ | $101829512123810145205129279351$ | $1127478922759440738882690540$ | $101829512123810145205129279351^{2} \, - \, $$8157$$ \, \cdot \, 1127478922759440738882690540^{2} = 1$ |
| $8158$ | $6489720113216811430207346862326543253025297456703$ | $71851215026237430172055421428888302355992366824$ | $6489720113216811430207346862326543253025297456703^{2} \, - \, $$8158$$ \, \cdot \, 71851215026237430172055421428888302355992366824^{2} = 1$ |
| $8159$ | $13260332938083360$ | $146803348543631$ | $13260332938083360^{2} \, - \, $$8159$$ \, \cdot \, 146803348543631^{2} = 1$ |
| $8161$ | $1959729454498974313150188588189281879288568779983506998934101043493733322464503257589446831539831633239887089801378678275201$ | $21693240504739646499914558790920916035891700665550410175649427285982696784784408607441334663117019819794466485166107363920$ | $1959729454498974313150188588189281879288568779983506998934101043493733322464503257589446831539831633239887089801378678275201^{2} \, - \, $$8161$$ \, \cdot \, 21693240504739646499914558790920916035891700665550410175649427285982696784784408607441334663117019819794466485166107363920^{2} = 1$ |
| $8162$ | $2387967$ | $26432$ | $2387967^{2} \, - \, $$8162$$ \, \cdot \, 26432^{2} = 1$ |
| $8165$ | $27831$ | $308$ | $27831^{2} \, - \, $$8165$$ \, \cdot \, 308^{2} = 1$ |
| $8166$ | $107123804060954138176318085$ | $1185444698229563030267858$ | $107123804060954138176318085^{2} \, - \, $$8166$$ \, \cdot \, 1185444698229563030267858^{2} = 1$ |
| $8167$ | $8198336644815180496316602313424881726159402305357479697688$ | $90718209461064937249004952183265315706137090464439606227$ | $8198336644815180496316602313424881726159402305357479697688^{2} \, - \, $$8167$$ \, \cdot \, 90718209461064937249004952183265315706137090464439606227^{2} = 1$ |
| $8169$ | $72455865818587272592255$ | $801657947473454923536$ | $72455865818587272592255^{2} \, - \, $$8169$$ \, \cdot \, 801657947473454923536^{2} = 1$ |
| $8170$ | $7435899515789$ | $82266398334$ | $7435899515789^{2} \, - \, $$8170$$ \, \cdot \, 82266398334^{2} = 1$ |
| $8171$ | $3864599153648084310091261818312982318937627907970$ | $42753025041643745112192494173281521107491909987$ | $3864599153648084310091261818312982318937627907970^{2} \, - \, $$8171$$ \, \cdot \, 42753025041643745112192494173281521107491909987^{2} = 1$ |
| $8173$ | $20256633986657580512351$ | $224066294219452156920$ | $20256633986657580512351^{2} \, - \, $$8173$$ \, \cdot \, 224066294219452156920^{2} = 1$ |
| $8174$ | $44683603828232752299$ | $494232016775003890$ | $44683603828232752299^{2} \, - \, $$8174$$ \, \cdot \, 494232016775003890^{2} = 1$ |
| $8177$ | $63200537312893473$ | $698914051051208$ | $63200537312893473^{2} \, - \, $$8177$$ \, \cdot \, 698914051051208^{2} = 1$ |
| $8178$ | $2475415458751$ | $27373135400$ | $2475415458751^{2} \, - \, $$8178$$ \, \cdot \, 27373135400^{2} = 1$ |
| $8179$ | $79110694756024455833366950294757769472263659413353804728646410$ | $874752302794073994701313134370136377341929967807089533173559$ | $79110694756024455833366950294757769472263659413353804728646410^{2} \, - \, $$8179$$ \, \cdot \, 874752302794073994701313134370136377341929967807089533173559^{2} = 1$ |
| $8182$ | $129683393876550132825654183814801637$ | $1433687933650534917543559344218082$ | $129683393876550132825654183814801637^{2} \, - \, $$8182$$ \, \cdot \, 1433687933650534917543559344218082^{2} = 1$ |
| $8185$ | $1405348129$ | $15533688$ | $1405348129^{2} \, - \, $$8185$$ \, \cdot \, 15533688^{2} = 1$ |
| $8186$ | $1241553358736226420843439450769832051$ | $13722382444023507842139822138022090$ | $1241553358736226420843439450769832051^{2} \, - \, $$8186$$ \, \cdot \, 13722382444023507842139822138022090^{2} = 1$ |
| $8187$ | $153692204205247995556202$ | $1698593445719118343637$ | $153692204205247995556202^{2} \, - \, $$8187$$ \, \cdot \, 1698593445719118343637^{2} = 1$ |
| $8189$ | $20057745683130380811128176956475068799$ | $221649463755589176870616993224414960$ | $20057745683130380811128176956475068799^{2} \, - \, $$8189$$ \, \cdot \, 221649463755589176870616993224414960^{2} = 1$ |
| $8191$ | $137168708703221032895073625802589931406141894540466576152225731961377054107539335040$ | $1515606947046439809691055132298479939258772521204671748899078157656970867149893633$ | $137168708703221032895073625802589931406141894540466576152225731961377054107539335040^{2} \, - \, $$8191$$ \, \cdot \, 1515606947046439809691055132298479939258772521204671748899078157656970867149893633^{2} = 1$ |
| $8193$ | $1886651874989012856218131710948511447$ | $20843483080810098101013521971548916$ | $1886651874989012856218131710948511447^{2} \, - \, $$8193$$ \, \cdot \, 20843483080810098101013521971548916^{2} = 1$ |
| $8194$ | $136333746755$ | $1506105486$ | $136333746755^{2} \, - \, $$8194$$ \, \cdot \, 1506105486^{2} = 1$ |
| $8195$ | $1183359$ | $13072$ | $1183359^{2} \, - \, $$8195$$ \, \cdot \, 13072^{2} = 1$ |
| $8197$ | $146608600447$ | $1619317392$ | $146608600447^{2} \, - \, $$8197$$ \, \cdot \, 1619317392^{2} = 1$ |
| $8198$ | $11275822732105182296718870099598277$ | $124535819426801659865055165281106$ | $11275822732105182296718870099598277^{2} \, - \, $$8198$$ \, \cdot \, 124535819426801659865055165281106^{2} = 1$ |
| $8201$ | $603657110061089139407868444224654999$ | $6665871145831277093969547482963700$ | $603657110061089139407868444224654999^{2} \, - \, $$8201$$ \, \cdot \, 6665871145831277093969547482963700^{2} = 1$ |
| $8202$ | $8048034309059327$ | $88864834550992$ | $8048034309059327^{2} \, - \, $$8202$$ \, \cdot \, 88864834550992^{2} = 1$ |
| $8203$ | $69876915611822519318$ | $771520323981133629$ | $69876915611822519318^{2} \, - \, $$8203$$ \, \cdot \, 771520323981133629^{2} = 1$ |
| $8205$ | $13967080047943682561$ | $154193593372525728$ | $13967080047943682561^{2} \, - \, $$8205$$ \, \cdot \, 154193593372525728^{2} = 1$ |
| $8206$ | $3883082240888268907037646791150273761018548715$ | $42865790035152560479573862767830239322988398$ | $3883082240888268907037646791150273761018548715^{2} \, - \, $$8206$$ \, \cdot \, 42865790035152560479573862767830239322988398^{2} = 1$ |
| $8207$ | $5131424487$ | $56642932$ | $5131424487^{2} \, - \, $$8207$$ \, \cdot \, 56642932^{2} = 1$ |
| $8209$ | $28003894304288349898723879892456670308002159346050114125214209143900753130515029037159170314667925467480257069104452243633340880001$ | $309081706912239220065422744851899850467070756449121475541005242263956175977884900275952471951526481109828540226232469741252129200$ | $28003894304288349898723879892456670308002159346050114125214209143900753130515029037159170314667925467480257069104452243633340880001^{2} \, - \, $$8209$$ \, \cdot \, 309081706912239220065422744851899850467070756449121475541005242263956175977884900275952471951526481109828540226232469741252129200^{2} = 1$ |
| $8210$ | $14570853834819$ | $160810137434$ | $14570853834819^{2} \, - \, $$8210$$ \, \cdot \, 160810137434^{2} = 1$ |
| $8211$ | $819790$ | $9047$ | $819790^{2} \, - \, $$8211$$ \, \cdot \, 9047^{2} = 1$ |
| $8213$ | $68823914119671440021808342521302399$ | $759431236896294225262419511793520$ | $68823914119671440021808342521302399^{2} \, - \, $$8213$$ \, \cdot \, 759431236896294225262419511793520^{2} = 1$ |
| $8215$ | $2266361120863317476044$ | $25004911824627069597$ | $2266361120863317476044^{2} \, - \, $$8215$$ \, \cdot \, 25004911824627069597^{2} = 1$ |
| $8218$ | $153480897410013559693$ | $1693055759145414906$ | $153480897410013559693^{2} \, - \, $$8218$$ \, \cdot \, 1693055759145414906^{2} = 1$ |
| $8219$ | $82444845786396915043900335392563051031893219250$ | $909398052399545914041796610664171558308623989$ | $82444845786396915043900335392563051031893219250^{2} \, - \, $$8219$$ \, \cdot \, 909398052399545914041796610664171558308623989^{2} = 1$ |
| $8221$ | $63386409183253406694761352620008285420905508052868376131414908932433377487715199740268485883186297620551352358593304201$ | $699091184514237036237692381645834763568807198842708945177722630605641818887709050342199022173399693252717841051319020$ | $63386409183253406694761352620008285420905508052868376131414908932433377487715199740268485883186297620551352358593304201^{2} \, - \, $$8221$$ \, \cdot \, 699091184514237036237692381645834763568807198842708945177722630605641818887709050342199022173399693252717841051319020^{2} = 1$ |
| $8222$ | $1053349186343849850943743$ | $11616722843361036715472$ | $1053349186343849850943743^{2} \, - \, $$8222$$ \, \cdot \, 11616722843361036715472^{2} = 1$ |
| $8223$ | $2060086878724$ | $22718015465$ | $2060086878724^{2} \, - \, $$8223$$ \, \cdot \, 22718015465^{2} = 1$ |
| $8227$ | $510082226$ | $5623665$ | $510082226^{2} \, - \, $$8227$$ \, \cdot \, 5623665^{2} = 1$ |
| $8229$ | $128022985$ | $1411284$ | $128022985^{2} \, - \, $$8229$$ \, \cdot \, 1411284^{2} = 1$ |
| $8230$ | $127784903681868393771416411$ | $1408573885145201639851098$ | $127784903681868393771416411^{2} \, - \, $$8230$$ \, \cdot \, 1408573885145201639851098^{2} = 1$ |
| $8231$ | $1839867157197208529161310660737560$ | $20279636496668249278595143508173$ | $1839867157197208529161310660737560^{2} \, - \, $$8231$$ \, \cdot \, 20279636496668249278595143508173^{2} = 1$ |
| $8233$ | $4052294658837319022620348031210510360722681564819754189408927150604158789191819041913864396868859249720024338201317186849$ | $44660333255105915852351465212070049548182348310662705898456130041915858633489565594695762990620087602692613379396666440$ | $4052294658837319022620348031210510360722681564819754189408927150604158789191819041913864396868859249720024338201317186849^{2} \, - \, $$8233$$ \, \cdot \, 44660333255105915852351465212070049548182348310662705898456130041915858633489565594695762990620087602692613379396666440^{2} = 1$ |
| $8234$ | $1185844375583572015$ | $13068395419552356$ | $1185844375583572015^{2} \, - \, $$8234$$ \, \cdot \, 13068395419552356^{2} = 1$ |
| $8237$ | $41023769750753961336867378092023567304023996352649$ | $452013111992339621355113094362544451886203107340$ | $41023769750753961336867378092023567304023996352649^{2} \, - \, $$8237$$ \, \cdot \, 452013111992339621355113094362544451886203107340^{2} = 1$ |
| $8238$ | $6557939976107$ | $72253109714$ | $6557939976107^{2} \, - \, $$8238$$ \, \cdot \, 72253109714^{2} = 1$ |
| $8239$ | $500210743040392735$ | $5510814131674296$ | $500210743040392735^{2} \, - \, $$8239$$ \, \cdot \, 5510814131674296^{2} = 1$ |
| $8241$ | $736443646618216125679618049$ | $8112403854861564353244480$ | $736443646618216125679618049^{2} \, - \, $$8241$$ \, \cdot \, 8112403854861564353244480^{2} = 1$ |
| $8242$ | $351693597587514654520099$ | $3873897782733345458370$ | $351693597587514654520099^{2} \, - \, $$8242$$ \, \cdot \, 3873897782733345458370^{2} = 1$ |
| $8243$ | $45466393910829296491270735783204069726226$ | $500781019906570508443501201954122193095$ | $45466393910829296491270735783204069726226^{2} \, - \, $$8243$$ \, \cdot \, 500781019906570508443501201954122193095^{2} = 1$ |
| $8245$ | $297488509662396192878089$ | $3276233645341310996004$ | $297488509662396192878089^{2} \, - \, $$8245$$ \, \cdot \, 3276233645341310996004^{2} = 1$ |
| $8246$ | $3719071551$ | $40955560$ | $3719071551^{2} \, - \, $$8246$$ \, \cdot \, 40955560^{2} = 1$ |
| $8247$ | $10875338447581480807$ | $119755311315480828$ | $10875338447581480807^{2} \, - \, $$8247$$ \, \cdot \, 119755311315480828^{2} = 1$ |
| $8249$ | $17854959375098379631440096801$ | $196588547816374692364178920$ | $17854959375098379631440096801^{2} \, - \, $$8249$$ \, \cdot \, 196588547816374692364178920^{2} = 1$ |
| $8251$ | $64402786498377807833127091852034385145$ | $709008374176384687747125409865960532$ | $64402786498377807833127091852034385145^{2} \, - \, $$8251$$ \, \cdot \, 709008374176384687747125409865960532^{2} = 1$ |
| $8254$ | $577654334453292485851581892935964606486089828359307429976417734329459749819120785877550160558335$ | $6358223709236290061574010315726453921870012113456677129534822870715566661180788211955232206416$ | $577654334453292485851581892935964606486089828359307429976417734329459749819120785877550160558335^{2} \, - \, $$8254$$ \, \cdot \, 6358223709236290061574010315726453921870012113456677129534822870715566661180788211955232206416^{2} = 1$ |
| $8255$ | $636$ | $7$ | $636^{2} \, - \, $$8255$$ \, \cdot \, 7^{2} = 1$ |
| $8257$ | $33314135970520991389756087460693566673709811622783$ | $366621062470581913364226823167916306496672142672$ | $33314135970520991389756087460693566673709811622783^{2} \, - \, $$8257$$ \, \cdot \, 366621062470581913364226823167916306496672142672^{2} = 1$ |
| $8258$ | $457232916099$ | $5031529790$ | $457232916099^{2} \, - \, $$8258$$ \, \cdot \, 5031529790^{2} = 1$ |
| $8259$ | $368995411646138892497090$ | $4060291676333213153569$ | $368995411646138892497090^{2} \, - \, $$8259$$ \, \cdot \, 4060291676333213153569^{2} = 1$ |
| $8261$ | $1050025119711312244192013695954290637791554999$ | $11552696860395191646854464481675014798389300$ | $1050025119711312244192013695954290637791554999^{2} \, - \, $$8261$$ \, \cdot \, 11552696860395191646854464481675014798389300^{2} = 1$ |
| $8263$ | $483066902649541155343978350835010115224$ | $5314206257211653904943861797466397085$ | $483066902649541155343978350835010115224^{2} \, - \, $$8263$$ \, \cdot \, 5314206257211653904943861797466397085^{2} = 1$ |
| $8265$ | $8567743529$ | $94242116$ | $8567743529^{2} \, - \, $$8265$$ \, \cdot \, 94242116^{2} = 1$ |
| $8266$ | $88063914939606037252552051$ | $968612987516204757210990$ | $88063914939606037252552051^{2} \, - \, $$8266$$ \, \cdot \, 968612987516204757210990^{2} = 1$ |
| $8267$ | $1182$ | $13$ | $1182^{2} \, - \, $$8267$$ \, \cdot \, 13^{2} = 1$ |
| $8269$ | $33062619115498415354672956090445328468427948652304945487550872739650291167548601953034995310740662490641188621406246998934867492994207172774777121423359925276149434261449$ | $363589018779330490688818677544195098479579467567926276302586281672943716849516060581657469634405970699780416915973273508806848984138038633877332234384105215179082376220$ | $33062619115498415354672956090445328468427948652304945487550872739650291167548601953034995310740662490641188621406246998934867492994207172774777121423359925276149434261449^{2} \, - \, $$8269$$ \, \cdot \, 363589018779330490688818677544195098479579467567926276302586281672943716849516060581657469634405970699780416915973273508806848984138038633877332234384105215179082376220^{2} = 1$ |
| $8270$ | $53071949502251$ | $583595972610$ | $53071949502251^{2} \, - \, $$8270$$ \, \cdot \, 583595972610^{2} = 1$ |
| $8273$ | $3719378386903772804762399768936088576513$ | $40892046965300214893502112953123612704$ | $3719378386903772804762399768936088576513^{2} \, - \, $$8273$$ \, \cdot \, 40892046965300214893502112953123612704^{2} = 1$ |
| $8274$ | $2365$ | $26$ | $2365^{2} \, - \, $$8274$$ \, \cdot \, 26^{2} = 1$ |
| $8277$ | $376649$ | $4140$ | $376649^{2} \, - \, $$8277$$ \, \cdot \, 4140^{2} = 1$ |
| $8278$ | $48948431259905530593372098843119448226166250904216196641256901$ | $537992308442852738168247664043580058100536504397833420806390$ | $48948431259905530593372098843119448226166250904216196641256901^{2} \, - \, $$8278$$ \, \cdot \, 537992308442852738168247664043580058100536504397833420806390^{2} = 1$ |
| $8279$ | $8280$ | $91$ | $8280^{2} \, - \, $$8279$$ \, \cdot \, 91^{2} = 1$ |
| $8282$ | $16563$ | $182$ | $16563^{2} \, - \, $$8282$$ \, \cdot \, 182^{2} = 1$ |
| $8283$ | $8282$ | $91$ | $8282^{2} \, - \, $$8283$$ \, \cdot \, 91^{2} = 1$ |
| $8285$ | $284140388169$ | $3121668004$ | $284140388169^{2} \, - \, $$8285$$ \, \cdot \, 3121668004^{2} = 1$ |
| $8286$ | $348548762494345313525$ | $3829050381060862178$ | $348548762494345313525^{2} \, - \, $$8286$$ \, \cdot \, 3829050381060862178^{2} = 1$ |
| $8287$ | $1691480208793178985567896047910192575666158780224$ | $18580964400489348359956787492516648619139928655$ | $1691480208793178985567896047910192575666158780224^{2} \, - \, $$8287$$ \, \cdot \, 18580964400489348359956787492516648619139928655^{2} = 1$ |
| $8290$ | $584773854347519897189838820016419$ | $6422597138872830522847839113958$ | $584773854347519897189838820016419^{2} \, - \, $$8290$$ \, \cdot \, 6422597138872830522847839113958^{2} = 1$ |
| $8291$ | $3014817680037786706571475317930$ | $33109879173542062199067876033$ | $3014817680037786706571475317930^{2} \, - \, $$8291$$ \, \cdot \, 33109879173542062199067876033^{2} = 1$ |
| $8293$ | $60521246043187651246276114354804380696056473730196650415492568223635595468006165872640064649$ | $664587285322173772406752170339712620817200790492109000421805675349097366356476294515585180$ | $60521246043187651246276114354804380696056473730196650415492568223635595468006165872640064649^{2} \, - \, $$8293$$ \, \cdot \, 664587285322173772406752170339712620817200790492109000421805675349097366356476294515585180^{2} = 1$ |
| $8294$ | $1275$ | $14$ | $1275^{2} \, - \, $$8294$$ \, \cdot \, 14^{2} = 1$ |
| $8295$ | $1184$ | $13$ | $1184^{2} \, - \, $$8295$$ \, \cdot \, 13^{2} = 1$ |
| $8297$ | $69843909728511010237100333960692647941936327733060029696832771227649$ | $766775092949646878045938649563633449459829521116241508290984213760$ | $69843909728511010237100333960692647941936327733060029696832771227649^{2} \, - \, $$8297$$ \, \cdot \, 766775092949646878045938649563633449459829521116241508290984213760^{2} = 1$ |
| $8299$ | $5057403074$ | $55515555$ | $5057403074^{2} \, - \, $$8299$$ \, \cdot \, 55515555^{2} = 1$ |
| $8301$ | $662909677966391754460995157570615$ | $7275940727717403774767988989532$ | $662909677966391754460995157570615^{2} \, - \, $$8301$$ \, \cdot \, 7275940727717403774767988989532^{2} = 1$ |
| $8302$ | $643870934150543$ | $7066550321268$ | $643870934150543^{2} \, - \, $$8302$$ \, \cdot \, 7066550321268^{2} = 1$ |
| $8305$ | $5367950715689$ | $58903174548$ | $5367950715689^{2} \, - \, $$8305$$ \, \cdot \, 58903174548^{2} = 1$ |
| $8306$ | $21603905$ | $237048$ | $21603905^{2} \, - \, $$8306$$ \, \cdot \, 237048^{2} = 1$ |
| $8309$ | $832001535$ | $9127456$ | $832001535^{2} \, - \, $$8309$$ \, \cdot \, 9127456^{2} = 1$ |
| $8310$ | $29435823085519$ | $322905670884$ | $29435823085519^{2} \, - \, $$8310$$ \, \cdot \, 322905670884^{2} = 1$ |
| $8311$ | $425235714200$ | $4664478453$ | $425235714200^{2} \, - \, $$8311$$ \, \cdot \, 4664478453^{2} = 1$ |
| $8313$ | $13430169050442017$ | $147299946489976$ | $13430169050442017^{2} \, - \, $$8313$$ \, \cdot \, 147299946489976^{2} = 1$ |
| $8314$ | $805044732781088440349737872546309810383766096921141020646654618308607305299$ | $8829070868205052371107622275819555845284588334570745419524612531792248610$ | $805044732781088440349737872546309810383766096921141020646654618308607305299^{2} \, - \, $$8314$$ \, \cdot \, 8829070868205052371107622275819555845284588334570745419524612531792248610^{2} = 1$ |
| $8315$ | $2047315257246$ | $22451925691$ | $2047315257246^{2} \, - \, $$8315$$ \, \cdot \, 22451925691^{2} = 1$ |
| $8317$ | $346155357878761151259310680141782441784652741843815973034757747703357743520387394447812232427969040112770778895039903390374971114906249$ | $3795663532957764553595281507584604726857192317973567011144952963610048082994579827975862843223706946707230854696624769959157677340500$ | $346155357878761151259310680141782441784652741843815973034757747703357743520387394447812232427969040112770778895039903390374971114906249^{2} \, - \, $$8317$$ \, \cdot \, 3795663532957764553595281507584604726857192317973567011144952963610048082994579827975862843223706946707230854696624769959157677340500^{2} = 1$ |
| $8318$ | $12487143066531942832383$ | $136915819276553449904$ | $12487143066531942832383^{2} \, - \, $$8318$$ \, \cdot \, 136915819276553449904^{2} = 1$ |
| $8319$ | $6723220159775$ | $73712606936$ | $6723220159775^{2} \, - \, $$8319$$ \, \cdot \, 73712606936^{2} = 1$ |
| $8321$ | $27975201$ | $306680$ | $27975201^{2} \, - \, $$8321$$ \, \cdot \, 306680^{2} = 1$ |
| $8322$ | $3649$ | $40$ | $3649^{2} \, - \, $$8322$$ \, \cdot \, 40^{2} = 1$ |
| $8323$ | $514405028962$ | $5638521729$ | $514405028962^{2} \, - \, $$8323$$ \, \cdot \, 5638521729^{2} = 1$ |
| $8326$ | $22512950758088750483196649155451$ | $246725602482809850479135207970$ | $22512950758088750483196649155451^{2} \, - \, $$8326$$ \, \cdot \, 246725602482809850479135207970^{2} = 1$ |
| $8327$ | $2368332048994649$ | $25953641996460$ | $2368332048994649^{2} \, - \, $$8327$$ \, \cdot \, 25953641996460^{2} = 1$ |
| $8329$ | $1270263581771455012883599275720488816172325286362828533069457985066413147327345444040933269392823146442473090326707622655759855772801$ | $13918659676359588421468960382407758294286030323921658820446118241442912078095070201257353894991293846276373722935035625203829627920$ | $1270263581771455012883599275720488816172325286362828533069457985066413147327345444040933269392823146442473090326707622655759855772801^{2} \, - \, $$8329$$ \, \cdot \, 13918659676359588421468960382407758294286030323921658820446118241442912078095070201257353894991293846276373722935035625203829627920^{2} = 1$ |
| $8331$ | $15673515356027351234931477474650$ | $171718800633164428996231277923$ | $15673515356027351234931477474650^{2} \, - \, $$8331$$ \, \cdot \, 171718800633164428996231277923^{2} = 1$ |
| $8333$ | $130457601$ | $1429120$ | $130457601^{2} \, - \, $$8333$$ \, \cdot \, 1429120^{2} = 1$ |
| $8335$ | $1215244$ | $13311$ | $1215244^{2} \, - \, $$8335$$ \, \cdot \, 13311^{2} = 1$ |
| $8337$ | $527850008946007$ | $5781035449652$ | $527850008946007^{2} \, - \, $$8337$$ \, \cdot \, 5781035449652^{2} = 1$ |
| $8338$ | $50428156052528283293840943377$ | $552258161424469876265326884$ | $50428156052528283293840943377^{2} \, - \, $$8338$$ \, \cdot \, 552258161424469876265326884^{2} = 1$ |
| $8339$ | $176926950$ | $1937479$ | $176926950^{2} \, - \, $$8339$$ \, \cdot \, 1937479^{2} = 1$ |
| $8341$ | $2164363148505734781080838751$ | $23698511572216502408875800$ | $2164363148505734781080838751^{2} \, - \, $$8341$$ \, \cdot \, 23698511572216502408875800^{2} = 1$ |
| $8342$ | $75077$ | $822$ | $75077^{2} \, - \, $$8342$$ \, \cdot \, 822^{2} = 1$ |
| $8345$ | $751236551930388609$ | $8223629582965552$ | $751236551930388609^{2} \, - \, $$8345$$ \, \cdot \, 8223629582965552^{2} = 1$ |
| $8346$ | $7616551914120449$ | $83371807361360$ | $7616551914120449^{2} \, - \, $$8346$$ \, \cdot \, 83371807361360^{2} = 1$ |
| $8347$ | $28414443471778$ | $311009709483$ | $28414443471778^{2} \, - \, $$8347$$ \, \cdot \, 311009709483^{2} = 1$ |
| $8351$ | $15535020166272720$ | $169997517562193$ | $15535020166272720^{2} \, - \, $$8351$$ \, \cdot \, 169997517562193^{2} = 1$ |
| $8353$ | $135253136519112051924805399498566655071398946905426081230560860267538147188484974230038964949746021958153356258849$ | $1479878649168411777174086126211793774979893084605729277240137449061681821161018753210479332980415683994382243960$ | $135253136519112051924805399498566655071398946905426081230560860267538147188484974230038964949746021958153356258849^{2} \, - \, $$8353$$ \, \cdot \, 1479878649168411777174086126211793774979893084605729277240137449061681821161018753210479332980415683994382243960^{2} = 1$ |
| $8354$ | $417699$ | $4570$ | $417699^{2} \, - \, $$8354$$ \, \cdot \, 4570^{2} = 1$ |
| $8355$ | $6143428962866$ | $67210575439$ | $6143428962866^{2} \, - \, $$8355$$ \, \cdot \, 67210575439^{2} = 1$ |
| $8357$ | $1097$ | $12$ | $1097^{2} \, - \, $$8357$$ \, \cdot \, 12^{2} = 1$ |
| $8358$ | $128710996273$ | $1407876204$ | $128710996273^{2} \, - \, $$8358$$ \, \cdot \, 1407876204^{2} = 1$ |
| $8359$ | $207532290348713506794230954300364431324$ | $2269909363795128504426227467172461605$ | $207532290348713506794230954300364431324^{2} \, - \, $$8359$$ \, \cdot \, 2269909363795128504426227467172461605^{2} = 1$ |
| $8362$ | $25134709296215653601179358899$ | $274864583954915213647651410$ | $25134709296215653601179358899^{2} \, - \, $$8362$$ \, \cdot \, 274864583954915213647651410^{2} = 1$ |
| $8363$ | $66243322$ | $724371$ | $66243322^{2} \, - \, $$8363$$ \, \cdot \, 724371^{2} = 1$ |
| $8365$ | $692988584773893123784195317969500471$ | $7576927088446672541937630346501404$ | $692988584773893123784195317969500471^{2} \, - \, $$8365$$ \, \cdot \, 7576927088446672541937630346501404^{2} = 1$ |
| $8366$ | $3174165775$ | $34703292$ | $3174165775^{2} \, - \, $$8366$$ \, \cdot \, 34703292^{2} = 1$ |
| $8367$ | $230760742082790028$ | $2522766424906607$ | $230760742082790028^{2} \, - \, $$8367$$ \, \cdot \, 2522766424906607^{2} = 1$ |
| $8369$ | $11020852420380877941956769264497957684251977780368443158440332040289732211759123422413619201$ | $120469859235930445715007767783763086325930301150270848735238105233181064589058769796962560$ | $11020852420380877941956769264497957684251977780368443158440332040289732211759123422413619201^{2} \, - \, $$8369$$ \, \cdot \, 120469859235930445715007767783763086325930301150270848735238105233181064589058769796962560^{2} = 1$ |
| $8371$ | $2970371160015000377277980619963890$ | $32465496471569404951854719081913$ | $2970371160015000377277980619963890^{2} \, - \, $$8371$$ \, \cdot \, 32465496471569404951854719081913^{2} = 1$ |
| $8373$ | $22327$ | $244$ | $22327^{2} \, - \, $$8373$$ \, \cdot \, 244^{2} = 1$ |
| $8374$ | $168395938640315$ | $1840200459174$ | $168395938640315^{2} \, - \, $$8374$$ \, \cdot \, 1840200459174^{2} = 1$ |
| $8377$ | $118264253596431806816716929545392725065451202660891128370092021622122961396642078849$ | $1292139007922818732596690835191779451632953611586876485263810673963606767355337680$ | $118264253596431806816716929545392725065451202660891128370092021622122961396642078849^{2} \, - \, $$8377$$ \, \cdot \, 1292139007922818732596690835191779451632953611586876485263810673963606767355337680^{2} = 1$ |
| $8378$ | $411829677$ | $4499326$ | $411829677^{2} \, - \, $$8378$$ \, \cdot \, 4499326^{2} = 1$ |
| $8382$ | $64526923$ | $704802$ | $64526923^{2} \, - \, $$8382$$ \, \cdot \, 704802^{2} = 1$ |
| $8383$ | $54187667406005846881202546556988$ | $591835106982579067044082101561$ | $54187667406005846881202546556988^{2} \, - \, $$8383$$ \, \cdot \, 591835106982579067044082101561^{2} = 1$ |
| $8385$ | $31087588481$ | $339496656$ | $31087588481^{2} \, - \, $$8385$$ \, \cdot \, 339496656^{2} = 1$ |
| $8386$ | $19270778815$ | $210436872$ | $19270778815^{2} \, - \, $$8386$$ \, \cdot \, 210436872^{2} = 1$ |
| $8387$ | $11858232825860672678725355842$ | $129484162333688118667151007$ | $11858232825860672678725355842^{2} \, - \, $$8387$$ \, \cdot \, 129484162333688118667151007^{2} = 1$ |
| $8389$ | $1609160327385317626401087896910354606391323341094637394957574885891514369707677079153594821478183422007253833388812696138574646626249$ | $17568885790272782631804723249265813562914230980411465530567695436395215927089968860344924965258584763321652162908833113936772097300$ | $1609160327385317626401087896910354606391323341094637394957574885891514369707677079153594821478183422007253833388812696138574646626249^{2} \, - \, $$8389$$ \, \cdot \, 17568885790272782631804723249265813562914230980411465530567695436395215927089968860344924965258584763321652162908833113936772097300^{2} = 1$ |
| $8390$ | $19816240922771161679$ | $216341727515244156$ | $19816240922771161679^{2} \, - \, $$8390$$ \, \cdot \, 216341727515244156^{2} = 1$ |
| $8391$ | $477987658629859225$ | $5218069064561892$ | $477987658629859225^{2} \, - \, $$8391$$ \, \cdot \, 5218069064561892^{2} = 1$ |
| $8393$ | $1757100927$ | $19179536$ | $1757100927^{2} \, - \, $$8393$$ \, \cdot \, 19179536^{2} = 1$ |
| $8394$ | $2358064372188807176961738246183949$ | $25737785325199522954286847524530$ | $2358064372188807176961738246183949^{2} \, - \, $$8394$$ \, \cdot \, 25737785325199522954286847524530^{2} = 1$ |
| $8395$ | $347544911143618966$ | $3793154946806883$ | $347544911143618966^{2} \, - \, $$8395$$ \, \cdot \, 3793154946806883^{2} = 1$ |
| $8398$ | $4046849$ | $44160$ | $4046849^{2} \, - \, $$8398$$ \, \cdot \, 44160^{2} = 1$ |
| $8399$ | $959076$ | $10465$ | $959076^{2} \, - \, $$8399$$ \, \cdot \, 10465^{2} = 1$ |
| $8401$ | $213643584207593303686472677277625435726233178226587187895467268459055499999$ | $2330903870262885920780651031163853657970606098071754020789096819156017000$ | $213643584207593303686472677277625435726233178226587187895467268459055499999^{2} \, - \, $$8401$$ \, \cdot \, 2330903870262885920780651031163853657970606098071754020789096819156017000^{2} = 1$ |
| $8402$ | $8350890520989747601$ | $91104840385282260$ | $8350890520989747601^{2} \, - \, $$8402$$ \, \cdot \, 91104840385282260^{2} = 1$ |
| $8403$ | $75626$ | $825$ | $75626^{2} \, - \, $$8403$$ \, \cdot \, 825^{2} = 1$ |
| $8407$ | $2942515478790224$ | $32092107061755$ | $2942515478790224^{2} \, - \, $$8407$$ \, \cdot \, 32092107061755^{2} = 1$ |
| $8409$ | $458641333843264860243635933932515106352123352977131013335$ | $5001508550041295186648965760335966557854927801074502244$ | $458641333843264860243635933932515106352123352977131013335^{2} \, - \, $$8409$$ \, \cdot \, 5001508550041295186648965760335966557854927801074502244^{2} = 1$ |
| $8411$ | $5036014019620827243935$ | $54911475548638527528$ | $5036014019620827243935^{2} \, - \, $$8411$$ \, \cdot \, 54911475548638527528^{2} = 1$ |
| $8413$ | $229000993624445295704411704011240456733634999$ | $2496674480945407858636587115275813428268900$ | $229000993624445295704411704011240456733634999^{2} \, - \, $$8413$$ \, \cdot \, 2496674480945407858636587115275813428268900^{2} = 1$ |
| $8414$ | $2274581040145380736575$ | $24797058175341620504$ | $2274581040145380736575^{2} \, - \, $$8414$$ \, \cdot \, 24797058175341620504^{2} = 1$ |
| $8417$ | $4107444346255374999$ | $44770611278630500$ | $4107444346255374999^{2} \, - \, $$8417$$ \, \cdot \, 44770611278630500^{2} = 1$ |
| $8418$ | $367$ | $4$ | $367^{2} \, - \, $$8418$$ \, \cdot \, 4^{2} = 1$ |
| $8419$ | $3114333304891935141875295807636994591025813433591658307470754942147896850$ | $33941797289970426141548124742067060372626908687517537601184124483625361$ | $3114333304891935141875295807636994591025813433591658307470754942147896850^{2} \, - \, $$8419$$ \, \cdot \, 33941797289970426141548124742067060372626908687517537601184124483625361^{2} = 1$ |
| $8421$ | $349724350494583857577794295$ | $3811044664286409096971388$ | $349724350494583857577794295^{2} \, - \, $$8421$$ \, \cdot \, 3811044664286409096971388^{2} = 1$ |
| $8422$ | $20988806908731597185727885805674488613244145957$ | $228707356224637570802264357395179996245642778$ | $20988806908731597185727885805674488613244145957^{2} \, - \, $$8422$$ \, \cdot \, 228707356224637570802264357395179996245642778^{2} = 1$ |
| $8423$ | $836340111468346587432547215777768$ | $9112751469819250572483455497901$ | $836340111468346587432547215777768^{2} \, - \, $$8423$$ \, \cdot \, 9112751469819250572483455497901^{2} = 1$ |
| $8426$ | $644205$ | $7018$ | $644205^{2} \, - \, $$8426$$ \, \cdot \, 7018^{2} = 1$ |
| $8429$ | $354147890050750036255719428669941710831434406063243185014741071434033261228399049$ | $3857417369932342743242589420931211322984789775473807412765016962634026428862940$ | $354147890050750036255719428669941710831434406063243185014741071434033261228399049^{2} \, - \, $$8429$$ \, \cdot \, 3857417369932342743242589420931211322984789775473807412765016962634026428862940^{2} = 1$ |
| $8430$ | $2100929728811$ | $22882197998$ | $2100929728811^{2} \, - \, $$8430$$ \, \cdot \, 22882197998^{2} = 1$ |
| $8431$ | $35537570026365709806300410260790681386813485704550583103007765206960$ | $387033167111570763493740957247134181029222689265362338412847148377$ | $35537570026365709806300410260790681386813485704550583103007765206960^{2} \, - \, $$8431$$ \, \cdot \, 387033167111570763493740957247134181029222689265362338412847148377^{2} = 1$ |
| $8434$ | $423552406216804434283499907943590064385$ | $4612011218106053349630329548266362544$ | $423552406216804434283499907943590064385^{2} \, - \, $$8434$$ \, \cdot \, 4612011218106053349630329548266362544^{2} = 1$ |
| $8435$ | $609006$ | $6631$ | $609006^{2} \, - \, $$8435$$ \, \cdot \, 6631^{2} = 1$ |
| $8437$ | $6162957217$ | $67095768$ | $6162957217^{2} \, - \, $$8437$$ \, \cdot \, 67095768^{2} = 1$ |
| $8438$ | $82700837$ | $900306$ | $82700837^{2} \, - \, $$8438$$ \, \cdot \, 900306^{2} = 1$ |
| $8439$ | $51361242076$ | $559100685$ | $51361242076^{2} \, - \, $$8439$$ \, \cdot \, 559100685^{2} = 1$ |
| $8441$ | $735$ | $8$ | $735^{2} \, - \, $$8441$$ \, \cdot \, 8^{2} = 1$ |
| $8443$ | $115676128434220549942848377666523803516740100100903026$ | $1258911932959773061238039030889989223409783900019685$ | $115676128434220549942848377666523803516740100100903026^{2} \, - \, $$8443$$ \, \cdot \, 1258911932959773061238039030889989223409783900019685^{2} = 1$ |
| $8445$ | $1432996421835696641$ | $15593560120396128$ | $1432996421835696641^{2} \, - \, $$8445$$ \, \cdot \, 15593560120396128^{2} = 1$ |
| $8446$ | $55055735383905385211249$ | $599069251910206335300$ | $55055735383905385211249^{2} \, - \, $$8446$$ \, \cdot \, 599069251910206335300^{2} = 1$ |
| $8447$ | $119617968$ | $1301503$ | $119617968^{2} \, - \, $$8447$$ \, \cdot \, 1301503^{2} = 1$ |
| $8449$ | $13222232604883022270311779480907208225$ | $143847440201440510354423431478092024$ | $13222232604883022270311779480907208225^{2} \, - \, $$8449$$ \, \cdot \, 143847440201440510354423431478092024^{2} = 1$ |
| $8453$ | $6130493287861056431041708839748151351$ | $66679139530059319232204297388924780$ | $6130493287861056431041708839748151351^{2} \, - \, $$8453$$ \, \cdot \, 66679139530059319232204297388924780^{2} = 1$ |
| $8454$ | $1930618816424541605$ | $20997394743970634$ | $1930618816424541605^{2} \, - \, $$8454$$ \, \cdot \, 20997394743970634^{2} = 1$ |
| $8455$ | $2374989209$ | $25828836$ | $2374989209^{2} \, - \, $$8455$$ \, \cdot \, 25828836^{2} = 1$ |
| $8457$ | $122627816390549952889604175401455678210583$ | $1333462569977445571952016261387319601172$ | $122627816390549952889604175401455678210583^{2} \, - \, $$8457$$ \, \cdot \, 1333462569977445571952016261387319601172^{2} = 1$ |
| $8458$ | $868905876216958010195302057546975504328083$ | $9447978446624132166377525799577213194906$ | $868905876216958010195302057546975504328083^{2} \, - \, $$8458$$ \, \cdot \, 9447978446624132166377525799577213194906^{2} = 1$ |
| $8459$ | $2299730525208255050$ | $25004457549347331$ | $2299730525208255050^{2} \, - \, $$8459$$ \, \cdot \, 25004457549347331^{2} = 1$ |
| $8461$ | $6912055434059841641598515082880384201$ | $75144355677772995542612008095049380$ | $6912055434059841641598515082880384201^{2} \, - \, $$8461$$ \, \cdot \, 75144355677772995542612008095049380^{2} = 1$ |
| $8462$ | $8463$ | $92$ | $8463^{2} \, - \, $$8462$$ \, \cdot \, 92^{2} = 1$ |
| $8463$ | $92$ | $1$ | $92^{2} \, - \, $$8463$$ \, \cdot \, 1^{2} = 1$ |
| $8465$ | $16929$ | $184$ | $16929^{2} \, - \, $$8465$$ \, \cdot \, 184^{2} = 1$ |
| $8466$ | $8465$ | $92$ | $8465^{2} \, - \, $$8466$$ \, \cdot \, 92^{2} = 1$ |
| $8467$ | $405066702158021253840758250587701067394724035757477235986710835226$ | $4402118856954200175152278113791774121065413747724839994660975865$ | $405066702158021253840758250587701067394724035757477235986710835226^{2} \, - \, $$8467$$ \, \cdot \, 4402118856954200175152278113791774121065413747724839994660975865^{2} = 1$ |
| $8471$ | $3150086359875104843175$ | $34225919086621340212$ | $3150086359875104843175^{2} \, - \, $$8471$$ \, \cdot \, 34225919086621340212^{2} = 1$ |
| $8473$ | $769897$ | $8364$ | $769897^{2} \, - \, $$8473$$ \, \cdot \, 8364^{2} = 1$ |
| $8474$ | $231395128447931546232495$ | $2513679953634338834524$ | $231395128447931546232495^{2} \, - \, $$8474$$ \, \cdot \, 2513679953634338834524^{2} = 1$ |
| $8479$ | $6969537980$ | $75688809$ | $6969537980^{2} \, - \, $$8479$$ \, \cdot \, 75688809^{2} = 1$ |
| $8481$ | $10889655316529427964325012951$ | $118247128156070138111757580$ | $10889655316529427964325012951^{2} \, - \, $$8481$$ \, \cdot \, 118247128156070138111757580^{2} = 1$ |
| $8482$ | $7250887021840251975922499$ | $78730317754230355633950$ | $7250887021840251975922499^{2} \, - \, $$8482$$ \, \cdot \, 78730317754230355633950^{2} = 1$ |
| $8483$ | $669826162$ | $7272561$ | $669826162^{2} \, - \, $$8483$$ \, \cdot \, 7272561^{2} = 1$ |
| $8485$ | $517264631975647687199355780470956393989788314813910500871220396277273395004609078729$ | $5615479694305728501089674237560760762147475134949963578168116860492724951911240148$ | $517264631975647687199355780470956393989788314813910500871220396277273395004609078729^{2} \, - \, $$8485$$ \, \cdot \, 5615479694305728501089674237560760762147475134949963578168116860492724951911240148^{2} = 1$ |
| $8486$ | $110290060434971226541782086373574159459744805$ | $1197250042095771783680124444241279037721222$ | $110290060434971226541782086373574159459744805^{2} \, - \, $$8486$$ \, \cdot \, 1197250042095771783680124444241279037721222^{2} = 1$ |
| $8489$ | $130459813129385$ | $1415951850204$ | $130459813129385^{2} \, - \, $$8489$$ \, \cdot \, 1415951850204^{2} = 1$ |
| $8490$ | $55469$ | $602$ | $55469^{2} \, - \, $$8490$$ \, \cdot \, 602^{2} = 1$ |
| $8491$ | $233269515374797408797358485069019268665$ | $2531503701060118802159910831334042692$ | $233269515374797408797358485069019268665^{2} \, - \, $$8491$$ \, \cdot \, 2531503701060118802159910831334042692^{2} = 1$ |
| $8493$ | $14419327$ | $156464$ | $14419327^{2} \, - \, $$8493$$ \, \cdot \, 156464^{2} = 1$ |
| $8494$ | $984596384645428780682520335$ | $10683218437695935666771964$ | $984596384645428780682520335^{2} \, - \, $$8494$$ \, \cdot \, 10683218437695935666771964^{2} = 1$ |
| $8495$ | $170657284404830439$ | $1851582805088716$ | $170657284404830439^{2} \, - \, $$8495$$ \, \cdot \, 1851582805088716^{2} = 1$ |
| $8497$ | $109440488651529369491378590080504001639118113$ | $1187258300014260337334965044036845228709912$ | $109440488651529369491378590080504001639118113^{2} \, - \, $$8497$$ \, \cdot \, 1187258300014260337334965044036845228709912^{2} = 1$ |
| $8498$ | $5129151$ | $55640$ | $5129151^{2} \, - \, $$8498$$ \, \cdot \, 55640^{2} = 1$ |
| $8499$ | $10113917167381255$ | $109707287632676$ | $10113917167381255^{2} \, - \, $$8499$$ \, \cdot \, 109707287632676^{2} = 1$ |
| $8501$ | $4799409621431049$ | $52053844421020$ | $4799409621431049^{2} \, - \, $$8501$$ \, \cdot \, 52053844421020^{2} = 1$ |
| $8502$ | $6623403749$ | $71832450$ | $6623403749^{2} \, - \, $$8502$$ \, \cdot \, 71832450^{2} = 1$ |
| $8503$ | $76193063$ | $826284$ | $76193063^{2} \, - \, $$8503$$ \, \cdot \, 826284^{2} = 1$ |
| $8506$ | $8247946097451300001502776199950479072871531412598301132760123444563997194140758777884992499$ | $89429978195537595890440773350430137864440228216895832621097093567705946957630066073775050$ | $8247946097451300001502776199950479072871531412598301132760123444563997194140758777884992499^{2} \, - \, $$8506$$ \, \cdot \, 89429978195537595890440773350430137864440228216895832621097093567705946957630066073775050^{2} = 1$ |
| $8507$ | $810351827702$ | $8785882677$ | $810351827702^{2} \, - \, $$8507$$ \, \cdot \, 8785882677^{2} = 1$ |
| $8509$ | $11563313840600415690209909386416501508320885805308339661833447140509105166334775$ | $125355401200759784457101105052709767449604948109560146938669496539926067411644$ | $11563313840600415690209909386416501508320885805308339661833447140509105166334775^{2} \, - \, $$8509$$ \, \cdot \, 125355401200759784457101105052709767449604948109560146938669496539926067411644^{2} = 1$ |
| $8510$ | $369$ | $4$ | $369^{2} \, - \, $$8510$$ \, \cdot \, 4^{2} = 1$ |
| $8511$ | $6027637059186001924$ | $65336640359947655$ | $6027637059186001924^{2} \, - \, $$8511$$ \, \cdot \, 65336640359947655^{2} = 1$ |
| $8513$ | $2322836901791352323526622677730814635117268110583095281263649$ | $25175459160839153620161645176094027069681241859457542494520$ | $2322836901791352323526622677730814635117268110583095281263649^{2} \, - \, $$8513$$ \, \cdot \, 25175459160839153620161645176094027069681241859457542494520^{2} = 1$ |
| $8515$ | $3286529$ | $35616$ | $3286529^{2} \, - \, $$8515$$ \, \cdot \, 35616^{2} = 1$ |
| $8517$ | $49097$ | $532$ | $49097^{2} \, - \, $$8517$$ \, \cdot \, 532^{2} = 1$ |
| $8518$ | $54770303149391407877$ | $593439331628413086$ | $54770303149391407877^{2} \, - \, $$8518$$ \, \cdot \, 593439331628413086^{2} = 1$ |
| $8519$ | $310781640$ | $3367139$ | $310781640^{2} \, - \, $$8519$$ \, \cdot \, 3367139^{2} = 1$ |
| $8521$ | $2482782446900586353360890921388744554468830372784752013498994979992464885687255796636369937018428678135166280242371533806700624090592590028462082049$ | $26896352233767406878953819950624564041738619439337739783321190822639581270877781236190269440471628040038344421452994378256083099335577625467219520$ | $2482782446900586353360890921388744554468830372784752013498994979992464885687255796636369937018428678135166280242371533806700624090592590028462082049^{2} \, - \, $$8521$$ \, \cdot \, 26896352233767406878953819950624564041738619439337739783321190822639581270877781236190269440471628040038344421452994378256083099335577625467219520^{2} = 1$ |
| $8522$ | $738937596383962803$ | $8004551417016958$ | $738937596383962803^{2} \, - \, $$8522$$ \, \cdot \, 8004551417016958^{2} = 1$ |
| $8527$ | $2336785059685462954003080160749497653560829484897712848$ | $25305832890405767702677677996649459595833753327252617$ | $2336785059685462954003080160749497653560829484897712848^{2} \, - \, $$8527$$ \, \cdot \, 25305832890405767702677677996649459595833753327252617^{2} = 1$ |
| $8529$ | $10498834970303312230388953686282133721500181009495$ | $113682090689008940955300591795527129988243670284$ | $10498834970303312230388953686282133721500181009495^{2} \, - \, $$8529$$ \, \cdot \, 113682090689008940955300591795527129988243670284^{2} = 1$ |
| $8530$ | $778909255939$ | $8433587382$ | $778909255939^{2} \, - \, $$8530$$ \, \cdot \, 8433587382^{2} = 1$ |
| $8531$ | $2093696368483330$ | $22668027392727$ | $2093696368483330^{2} \, - \, $$8531$$ \, \cdot \, 22668027392727^{2} = 1$ |
| $8533$ | $16986608096701130272351$ | $183889018315883853720$ | $16986608096701130272351^{2} \, - \, $$8533$$ \, \cdot \, 183889018315883853720^{2} = 1$ |
| $8534$ | $38463838885$ | $416367006$ | $38463838885^{2} \, - \, $$8534$$ \, \cdot \, 416367006^{2} = 1$ |
| $8535$ | $6085328424244$ | $65869180349$ | $6085328424244^{2} \, - \, $$8535$$ \, \cdot \, 65869180349^{2} = 1$ |
| $8537$ | $9954964330009305567416004542838745264317220157764466667112951725949473$ | $107742504726746418611954752175900527332558029517260688979534999795688$ | $9954964330009305567416004542838745264317220157764466667112951725949473^{2} \, - \, $$8537$$ \, \cdot \, 107742504726746418611954752175900527332558029517260688979534999795688^{2} = 1$ |
| $8538$ | $71149$ | $770$ | $71149^{2} \, - \, $$8538$$ \, \cdot \, 770^{2} = 1$ |
| $8539$ | $21900088141010$ | $236996731179$ | $21900088141010^{2} \, - \, $$8539$$ \, \cdot \, 236996731179^{2} = 1$ |
| $8542$ | $100015089714357090760414040957423443872881754882091045224648897599$ | $1082145718015293931520840728800073986138019367419889746692287880$ | $100015089714357090760414040957423443872881754882091045224648897599^{2} \, - \, $$8542$$ \, \cdot \, 1082145718015293931520840728800073986138019367419889746692287880^{2} = 1$ |
| $8543$ | $418608$ | $4529$ | $418608^{2} \, - \, $$8543$$ \, \cdot \, 4529^{2} = 1$ |
| $8545$ | $1940894209$ | $20996448$ | $1940894209^{2} \, - \, $$8545$$ \, \cdot \, 20996448^{2} = 1$ |
| $8546$ | $692225$ | $7488$ | $692225^{2} \, - \, $$8546$$ \, \cdot \, 7488^{2} = 1$ |
| $8547$ | $1849$ | $20$ | $1849^{2} \, - \, $$8547$$ \, \cdot \, 20^{2} = 1$ |
| $8549$ | $91547407292415$ | $990121270976$ | $91547407292415^{2} \, - \, $$8549$$ \, \cdot \, 990121270976^{2} = 1$ |
| $8551$ | $774745052296542356497317540347660955117839029801160$ | $8378192954692369288449857960959557333596629101843$ | $774745052296542356497317540347660955117839029801160^{2} \, - \, $$8551$$ \, \cdot \, 8378192954692369288449857960959557333596629101843^{2} = 1$ |
| $8553$ | $21863330458660703025142618327$ | $236405231545820980491672124$ | $21863330458660703025142618327^{2} \, - \, $$8553$$ \, \cdot \, 236405231545820980491672124^{2} = 1$ |
| $8554$ | $70495390560744449$ | $762212554842720$ | $70495390560744449^{2} \, - \, $$8554$$ \, \cdot \, 762212554842720^{2} = 1$ |
| $8555$ | $13689$ | $148$ | $13689^{2} \, - \, $$8555$$ \, \cdot \, 148^{2} = 1$ |
| $8557$ | $1304180290681183$ | $14098628490072$ | $1304180290681183^{2} \, - \, $$8557$$ \, \cdot \, 14098628490072^{2} = 1$ |
| $8558$ | $24737801522698197$ | $267408347174126$ | $24737801522698197^{2} \, - \, $$8558$$ \, \cdot \, 267408347174126^{2} = 1$ |
| $8561$ | $814078390790717338328120442006228133855$ | $8798405590555549979100345393385348728$ | $814078390790717338328120442006228133855^{2} \, - \, $$8561$$ \, \cdot \, 8798405590555549979100345393385348728^{2} = 1$ |
| $8562$ | $1020446774585782337$ | $11028152056919192$ | $1020446774585782337^{2} \, - \, $$8562$$ \, \cdot \, 11028152056919192^{2} = 1$ |
| $8563$ | $344770002692037976248424002402344684771751174816373893442515626$ | $3725773936127991074487712892360483437347461955780591625800375$ | $344770002692037976248424002402344684771751174816373893442515626^{2} \, - \, $$8563$$ \, \cdot \, 3725773936127991074487712892360483437347461955780591625800375^{2} = 1$ |
| $8565$ | $2063155310434883071$ | $22292985750172704$ | $2063155310434883071^{2} \, - \, $$8565$$ \, \cdot \, 22292985750172704^{2} = 1$ |
| $8566$ | $372870902088689356844217439688735596191140645864787895611844672799525$ | $4028742021064345756334624346208056775625799760990607734379370085842$ | $372870902088689356844217439688735596191140645864787895611844672799525^{2} \, - \, $$8566$$ \, \cdot \, 4028742021064345756334624346208056775625799760990607734379370085842^{2} = 1$ |
| $8567$ | $180606114649$ | $1951273140$ | $180606114649^{2} \, - \, $$8567$$ \, \cdot \, 1951273140^{2} = 1$ |
| $8569$ | $21161249$ | $228600$ | $21161249^{2} \, - \, $$8569$$ \, \cdot \, 228600^{2} = 1$ |
| $8570$ | $75504959732956960019859$ | $815614746516142772078$ | $75504959732956960019859^{2} \, - \, $$8570$$ \, \cdot \, 815614746516142772078^{2} = 1$ |
| $8571$ | $2771932826$ | $29941045$ | $2771932826^{2} \, - \, $$8571$$ \, \cdot \, 29941045^{2} = 1$ |
| $8573$ | $15038426258476296907714572358579200488649$ | $162418680792103521376721952984474986180$ | $15038426258476296907714572358579200488649^{2} \, - \, $$8573$$ \, \cdot \, 162418680792103521376721952984474986180^{2} = 1$ |
| $8574$ | $9396579659341853294321045$ | $101479439599079645239526$ | $9396579659341853294321045^{2} \, - \, $$8574$$ \, \cdot \, 101479439599079645239526^{2} = 1$ |
| $8578$ | $52800686657$ | $570094104$ | $52800686657^{2} \, - \, $$8578$$ \, \cdot \, 570094104^{2} = 1$ |
| $8579$ | $130639064571268239374$ | $1410440363960352225$ | $130639064571268239374^{2} \, - \, $$8579$$ \, \cdot \, 1410440363960352225^{2} = 1$ |
| $8581$ | $431453462247821449$ | $4657630235786460$ | $431453462247821449^{2} \, - \, $$8581$$ \, \cdot \, 4657630235786460^{2} = 1$ |
| $8582$ | $791074047$ | $8539312$ | $791074047^{2} \, - \, $$8582$$ \, \cdot \, 8539312^{2} = 1$ |
| $8583$ | $204409799724797727045724$ | $2206389369862583763285$ | $204409799724797727045724^{2} \, - \, $$8583$$ \, \cdot \, 2206389369862583763285^{2} = 1$ |
| $8585$ | $20944169$ | $226044$ | $20944169^{2} \, - \, $$8585$$ \, \cdot \, 226044^{2} = 1$ |
| $8587$ | $278$ | $3$ | $278^{2} \, - \, $$8587$$ \, \cdot \, 3^{2} = 1$ |
| $8589$ | $25880809975$ | $279258604$ | $25880809975^{2} \, - \, $$8589$$ \, \cdot \, 279258604^{2} = 1$ |
| $8590$ | $66242758507609370146298270330581$ | $714729696840481970228484128478$ | $66242758507609370146298270330581^{2} \, - \, $$8590$$ \, \cdot \, 714729696840481970228484128478^{2} = 1$ |
| $8593$ | $206005607102055972456577397875718028090124551007959921793$ | $2222320207686392321365802155780828909251233966732174256$ | $206005607102055972456577397875718028090124551007959921793^{2} \, - \, $$8593$$ \, \cdot \, 2222320207686392321365802155780828909251233966732174256^{2} = 1$ |
| $8594$ | $143269456142434593025$ | $1545453482862702864$ | $143269456142434593025^{2} \, - \, $$8594$$ \, \cdot \, 1545453482862702864^{2} = 1$ |
| $8597$ | $10746249$ | $115900$ | $10746249^{2} \, - \, $$8597$$ \, \cdot \, 115900^{2} = 1$ |
| $8598$ | $15494347473797$ | $167099276986$ | $15494347473797^{2} \, - \, $$8598$$ \, \cdot \, 167099276986^{2} = 1$ |
| $8599$ | $4778120367740532243179760677521623941769870774200$ | $51526792826189060046602903275659009941263919301$ | $4778120367740532243179760677521623941769870774200^{2} \, - \, $$8599$$ \, \cdot \, 51526792826189060046602903275659009941263919301^{2} = 1$ |
| $8601$ | $4043925215$ | $43604232$ | $4043925215^{2} \, - \, $$8601$$ \, \cdot \, 43604232^{2} = 1$ |
| $8602$ | $42928199027$ | $462852858$ | $42928199027^{2} \, - \, $$8602$$ \, \cdot \, 462852858^{2} = 1$ |
| $8603$ | $39327$ | $424$ | $39327^{2} \, - \, $$8603$$ \, \cdot \, 424^{2} = 1$ |
| $8605$ | $4970249$ | $53580$ | $4970249^{2} \, - \, $$8605$$ \, \cdot \, 53580^{2} = 1$ |
| $8606$ | $364208402465371162635$ | $3925990913258091202$ | $364208402465371162635^{2} \, - \, $$8606$$ \, \cdot \, 3925990913258091202^{2} = 1$ |
| $8607$ | $13361942887$ | $144026932$ | $13361942887^{2} \, - \, $$8607$$ \, \cdot \, 144026932^{2} = 1$ |
| $8609$ | $38341928316470969447536328638357934772260160503517648668008449$ | $413235474710238553828619193224510057224845027312939780238720$ | $38341928316470969447536328638357934772260160503517648668008449^{2} \, - \, $$8609$$ \, \cdot \, 413235474710238553828619193224510057224845027312939780238720^{2} = 1$ |
| $8610$ | $151619$ | $1634$ | $151619^{2} \, - \, $$8610$$ \, \cdot \, 1634^{2} = 1$ |
| $8611$ | $3814933512713054664853673719398271740694859339030$ | $41111202380192950148734479902965532204583519903$ | $3814933512713054664853673719398271740694859339030^{2} \, - \, $$8611$$ \, \cdot \, 41111202380192950148734479902965532204583519903^{2} = 1$ |
| $8614$ | $31574946579973356665440483869865299303764815685$ | $340204607224674025779403489325786092335434046$ | $31574946579973356665440483869865299303764815685^{2} \, - \, $$8614$$ \, \cdot \, 340204607224674025779403489325786092335434046^{2} = 1$ |
| $8615$ | $10176479118740044$ | $109640221666587$ | $10176479118740044^{2} \, - \, $$8615$$ \, \cdot \, 109640221666587^{2} = 1$ |
| $8617$ | $6455436760200799457788562314584479612245557962285023$ | $69542065306122032280663626951050522226271866219928$ | $6455436760200799457788562314584479612245557962285023^{2} \, - \, $$8617$$ \, \cdot \, 69542065306122032280663626951050522226271866219928^{2} = 1$ |
| $8618$ | $557$ | $6$ | $557^{2} \, - \, $$8618$$ \, \cdot \, 6^{2} = 1$ |
| $8621$ | $140180951559186945$ | $1509767878357088$ | $140180951559186945^{2} \, - \, $$8621$$ \, \cdot \, 1509767878357088^{2} = 1$ |
| $8623$ | $5016451605109568$ | $54021598871751$ | $5016451605109568^{2} \, - \, $$8623$$ \, \cdot \, 54021598871751^{2} = 1$ |
| $8626$ | $2320950917869822382417074063285709632145$ | $24989710758031735622058776000426999532$ | $2320950917869822382417074063285709632145^{2} \, - \, $$8626$$ \, \cdot \, 24989710758031735622058776000426999532^{2} = 1$ |
| $8627$ | $33085587535374694728322$ | $356212333373382466023$ | $33085587535374694728322^{2} \, - \, $$8627$$ \, \cdot \, 356212333373382466023^{2} = 1$ |
| $8629$ | $3026484071574807725687868332076595336256380527049$ | $32580530990054941929820514749464692084457721140$ | $3026484071574807725687868332076595336256380527049^{2} \, - \, $$8629$$ \, \cdot \, 32580530990054941929820514749464692084457721140^{2} = 1$ |
| $8630$ | $2559040091$ | $27546834$ | $2559040091^{2} \, - \, $$8630$$ \, \cdot \, 27546834^{2} = 1$ |
| $8633$ | $690204482704361601$ | $7428427774681520$ | $690204482704361601^{2} \, - \, $$8633$$ \, \cdot \, 7428427774681520^{2} = 1$ |
| $8634$ | $240120824439629999$ | $2584186204188100$ | $240120824439629999^{2} \, - \, $$8634$$ \, \cdot \, 2584186204188100^{2} = 1$ |
| $8635$ | $15816613319$ | $170208924$ | $15816613319^{2} \, - \, $$8635$$ \, \cdot \, 170208924^{2} = 1$ |
| $8637$ | $11956377599$ | $128652480$ | $11956377599^{2} \, - \, $$8637$$ \, \cdot \, 128652480^{2} = 1$ |
| $8638$ | $149722849906687$ | $1610947863744$ | $149722849906687^{2} \, - \, $$8638$$ \, \cdot \, 1610947863744^{2} = 1$ |
| $8639$ | $179132822357742375$ | $1927273862364796$ | $179132822357742375^{2} \, - \, $$8639$$ \, \cdot \, 1927273862364796^{2} = 1$ |
| $8641$ | $4234832728682734735075147495769411861708579613963853309501638537877107360443869868522031070061609787101213235267330247591201$ | $45556909881483354836155279015179191095208364668855422957094310583326258417469057306889755129783785557679507496477120597080$ | $4234832728682734735075147495769411861708579613963853309501638537877107360443869868522031070061609787101213235267330247591201^{2} \, - \, $$8641$$ \, \cdot \, 45556909881483354836155279015179191095208364668855422957094310583326258417469057306889755129783785557679507496477120597080^{2} = 1$ |
| $8642$ | $24182632488099$ | $260133596170$ | $24182632488099^{2} \, - \, $$8642$$ \, \cdot \, 260133596170^{2} = 1$ |
| $8643$ | $2882$ | $31$ | $2882^{2} \, - \, $$8643$$ \, \cdot \, 31^{2} = 1$ |
| $8645$ | $402039$ | $4324$ | $402039^{2} \, - \, $$8645$$ \, \cdot \, 4324^{2} = 1$ |
| $8646$ | $5765$ | $62$ | $5765^{2} \, - \, $$8646$$ \, \cdot \, 62^{2} = 1$ |
| $8647$ | $8648$ | $93$ | $8648^{2} \, - \, $$8647$$ \, \cdot \, 93^{2} = 1$ |
| $8651$ | $8650$ | $93$ | $8650^{2} \, - \, $$8651$$ \, \cdot \, 93^{2} = 1$ |
| $8653$ | $323719546249$ | $3480050700$ | $323719546249^{2} \, - \, $$8653$$ \, \cdot \, 3480050700^{2} = 1$ |
| $8654$ | $148172676022352708754043212027166159299940768168335$ | $1592794249021614028900791213250767717604276691884$ | $148172676022352708754043212027166159299940768168335^{2} \, - \, $$8654$$ \, \cdot \, 1592794249021614028900791213250767717604276691884^{2} = 1$ |
| $8655$ | $2884$ | $31$ | $2884^{2} \, - \, $$8655$$ \, \cdot \, 31^{2} = 1$ |
| $8657$ | $55212817713772849814809047$ | $593411833584978733551212$ | $55212817713772849814809047^{2} \, - \, $$8657$$ \, \cdot \, 593411833584978733551212^{2} = 1$ |
| $8659$ | $44477352400689363354631861312612574$ | $477974862914262771499835773703895$ | $44477352400689363354631861312612574^{2} \, - \, $$8659$$ \, \cdot \, 477974862914262771499835773703895^{2} = 1$ |
| $8661$ | $12006247735$ | $129009972$ | $12006247735^{2} \, - \, $$8661$$ \, \cdot \, 129009972^{2} = 1$ |
| $8662$ | $92480436228484407140737685083$ | $993666800813006723934285282$ | $92480436228484407140737685083^{2} \, - \, $$8662$$ \, \cdot \, 993666800813006723934285282^{2} = 1$ |
| $8663$ | $1432050980333055624$ | $15385950175540325$ | $1432050980333055624^{2} \, - \, $$8663$$ \, \cdot \, 15385950175540325^{2} = 1$ |
| $8665$ | $1428934200949322667462049393478306089385711831329$ | $15350691628862875697497529329943760234482564616$ | $1428934200949322667462049393478306089385711831329^{2} \, - \, $$8665$$ \, \cdot \, 15350691628862875697497529329943760234482564616^{2} = 1$ |
| $8666$ | $211126442353965200845$ | $2267949015576383658$ | $211126442353965200845^{2} \, - \, $$8666$$ \, \cdot \, 2267949015576383658^{2} = 1$ |
| $8669$ | $9691429470342498967368201$ | $104088640926796942972660$ | $9691429470342498967368201^{2} \, - \, $$8669$$ \, \cdot \, 104088640926796942972660^{2} = 1$ |
| $8671$ | $2403974951$ | $25816380$ | $2403974951^{2} \, - \, $$8671$$ \, \cdot \, 25816380^{2} = 1$ |
| $8674$ | $2256368061323785741806237724535816167907352515$ | $24227033218983607612157757136604594842658274$ | $2256368061323785741806237724535816167907352515^{2} \, - \, $$8674$$ \, \cdot \, 24227033218983607612157757136604594842658274^{2} = 1$ |
| $8677$ | $3687784635991175181630023682605257906141992602573667905204849252101164972073845042938633751124646833251201149726544649$ | $39589567009533837459979000700622274934801768369800819346943363565626095317881976012040183238646275529952127642252540$ | $3687784635991175181630023682605257906141992602573667905204849252101164972073845042938633751124646833251201149726544649^{2} \, - \, $$8677$$ \, \cdot \, 39589567009533837459979000700622274934801768369800819346943363565626095317881976012040183238646275529952127642252540^{2} = 1$ |
| $8678$ | $47434807512171557$ | $509198739236646$ | $47434807512171557^{2} \, - \, $$8678$$ \, \cdot \, 509198739236646^{2} = 1$ |
| $8679$ | $8115750785$ | $87115184$ | $8115750785^{2} \, - \, $$8679$$ \, \cdot \, 87115184^{2} = 1$ |
| $8681$ | $52224635298309076023895155611529158426976597098219035021588782484086721444549644801$ | $560519257101024150601040116410603163298315874363830044046663132124280818073003040$ | $52224635298309076023895155611529158426976597098219035021588782484086721444549644801^{2} \, - \, $$8681$$ \, \cdot \, 560519257101024150601040116410603163298315874363830044046663132124280818073003040^{2} = 1$ |
| $8682$ | $704342983025598349$ | $7559173292640130$ | $704342983025598349^{2} \, - \, $$8682$$ \, \cdot \, 7559173292640130^{2} = 1$ |
| $8683$ | $12087649$ | $129720$ | $12087649^{2} \, - \, $$8683$$ \, \cdot \, 129720^{2} = 1$ |
| $8686$ | $106999309342426285706455765$ | $1148077119780267931245678$ | $106999309342426285706455765^{2} \, - \, $$8686$$ \, \cdot \, 1148077119780267931245678^{2} = 1$ |
| $8687$ | $20857488$ | $223783$ | $20857488^{2} \, - \, $$8687$$ \, \cdot \, 223783^{2} = 1$ |
| $8689$ | $763702342209052943294508199201$ | $8192929616150749654242395160$ | $763702342209052943294508199201^{2} \, - \, $$8689$$ \, \cdot \, 8192929616150749654242395160^{2} = 1$ |
| $8690$ | $549999$ | $5900$ | $549999^{2} \, - \, $$8690$$ \, \cdot \, 5900^{2} = 1$ |
| $8691$ | $1087573650688936388221745890490$ | $11666049159354584492557711383$ | $1087573650688936388221745890490^{2} \, - \, $$8691$$ \, \cdot \, 11666049159354584492557711383^{2} = 1$ |
| $8693$ | $3540219981514724048281475293751514837906249$ | $37970420713146419820495975602559242555500$ | $3540219981514724048281475293751514837906249^{2} \, - \, $$8693$$ \, \cdot \, 37970420713146419820495975602559242555500^{2} = 1$ |
| $8695$ | $5597067629459696876$ | $60024114426446925$ | $5597067629459696876^{2} \, - \, $$8695$$ \, \cdot \, 60024114426446925^{2} = 1$ |
| $8697$ | $1257325730647$ | $13482271492$ | $1257325730647^{2} \, - \, $$8697$$ \, \cdot \, 13482271492^{2} = 1$ |
| $8698$ | $7735793956676661741703867075750613605331200599624515652499$ | $82945951244134509038479769132766001571904606511893124050$ | $7735793956676661741703867075750613605331200599624515652499^{2} \, - \, $$8698$$ \, \cdot \, 82945951244134509038479769132766001571904606511893124050^{2} = 1$ |
| $8699$ | $201999955788042333213858155297134540370$ | $2165791320712915444660290844619060901$ | $201999955788042333213858155297134540370^{2} \, - \, $$8699$$ \, \cdot \, 2165791320712915444660290844619060901^{2} = 1$ |
| $8701$ | $6070060084497913855$ | $65074135252719168$ | $6070060084497913855^{2} \, - \, $$8701$$ \, \cdot \, 65074135252719168^{2} = 1$ |
| $8702$ | $660505157465789717$ | $7080544777487238$ | $660505157465789717^{2} \, - \, $$8702$$ \, \cdot \, 7080544777487238^{2} = 1$ |
| $8705$ | $902120041$ | $9668964$ | $902120041^{2} \, - \, $$8705$$ \, \cdot \, 9668964^{2} = 1$ |
| $8706$ | $67987418310318053786152278545$ | $728650418358119927653200948$ | $67987418310318053786152278545^{2} \, - \, $$8706$$ \, \cdot \, 728650418358119927653200948^{2} = 1$ |
| $8707$ | $4037967026$ | $43274145$ | $4037967026^{2} \, - \, $$8707$$ \, \cdot \, 43274145^{2} = 1$ |
| $8709$ | $7210597191967869948755282817559573033583319032586795329375$ | $77265761613085288616738244206827535912403098098760777544$ | $7210597191967869948755282817559573033583319032586795329375^{2} \, - \, $$8709$$ \, \cdot \, 77265761613085288616738244206827535912403098098760777544^{2} = 1$ |
| $8710$ | $15679$ | $168$ | $15679^{2} \, - \, $$8710$$ \, \cdot \, 168^{2} = 1$ |
| $8711$ | $280$ | $3$ | $280^{2} \, - \, $$8711$$ \, \cdot \, 3^{2} = 1$ |
| $8713$ | $1036828767619182002391219101255968033$ | $11107675442301934206583943337080376$ | $1036828767619182002391219101255968033^{2} \, - \, $$8713$$ \, \cdot \, 11107675442301934206583943337080376^{2} = 1$ |
| $8714$ | $18393033850443781922451$ | $197035550823252437210$ | $18393033850443781922451^{2} \, - \, $$8714$$ \, \cdot \, 197035550823252437210^{2} = 1$ |
| $8715$ | $4481$ | $48$ | $4481^{2} \, - \, $$8715$$ \, \cdot \, 48^{2} = 1$ |
| $8717$ | $1178696823$ | $12624628$ | $1178696823^{2} \, - \, $$8717$$ \, \cdot \, 12624628^{2} = 1$ |
| $8718$ | $26195433749$ | $280554450$ | $26195433749^{2} \, - \, $$8718$$ \, \cdot \, 280554450^{2} = 1$ |
| $8719$ | $252240466623768864716545493950839788208218484273282919513139319142237159149874066868351854190960$ | $2701353515509588092070072666244548181613854230068625029778736166816452479146157915145715030039$ | $252240466623768864716545493950839788208218484273282919513139319142237159149874066868351854190960^{2} \, - \, $$8719$$ \, \cdot \, 2701353515509588092070072666244548181613854230068625029778736166816452479146157915145715030039^{2} = 1$ |
| $8723$ | $56532178$ | $605289$ | $56532178^{2} \, - \, $$8723$$ \, \cdot \, 605289^{2} = 1$ |
| $8726$ | $666112356134182192793127005079063101917637101068965$ | $7130826756797620588995537327073259970150189054018$ | $666112356134182192793127005079063101917637101068965^{2} \, - \, $$8726$$ \, \cdot \, 7130826756797620588995537327073259970150189054018^{2} = 1$ |
| $8727$ | $19336173234825748$ | $206984602811933$ | $19336173234825748^{2} \, - \, $$8727$$ \, \cdot \, 206984602811933^{2} = 1$ |
| $8729$ | $838922827799184255$ | $8979243838483184$ | $838922827799184255^{2} \, - \, $$8729$$ \, \cdot \, 8979243838483184^{2} = 1$ |
| $8731$ | $66696469926560740225970$ | $713790649211598425973$ | $66696469926560740225970^{2} \, - \, $$8731$$ \, \cdot \, 713790649211598425973^{2} = 1$ |
| $8733$ | $9037445565520571849$ | $96708347949504060$ | $9037445565520571849^{2} \, - \, $$8733$$ \, \cdot \, 96708347949504060^{2} = 1$ |
| $8734$ | $728179727510649530860021287701$ | $7791695828175347003732086410$ | $728179727510649530860021287701^{2} \, - \, $$8734$$ \, \cdot \, 7791695828175347003732086410^{2} = 1$ |
| $8735$ | $295244$ | $3159$ | $295244^{2} \, - \, $$8735$$ \, \cdot \, 3159^{2} = 1$ |
| $8737$ | $3891742282477654810705089236534963964512351225220737829622007056701305475268031665058936088133754750495403509375601140888181437473$ | $41635415687179671028858948831386402801225175488154829938252897759258851598655575540847095709463622265868391637339431595706537288$ | $3891742282477654810705089236534963964512351225220737829622007056701305475268031665058936088133754750495403509375601140888181437473^{2} \, - \, $$8737$$ \, \cdot \, 41635415687179671028858948831386402801225175488154829938252897759258851598655575540847095709463622265868391637339431595706537288^{2} = 1$ |
| $8738$ | $4113$ | $44$ | $4113^{2} \, - \, $$8738$$ \, \cdot \, 44^{2} = 1$ |
| $8741$ | $193503752908490781551108216179059728529270055696199937801$ | $2069706827184529474693194383265275749337060118015246460$ | $193503752908490781551108216179059728529270055696199937801^{2} \, - \, $$8741$$ \, \cdot \, 2069706827184529474693194383265275749337060118015246460^{2} = 1$ |
| $8742$ | $187$ | $2$ | $187^{2} \, - \, $$8742$$ \, \cdot \, 2^{2} = 1$ |
| $8743$ | $198022197651727705530664328$ | $2117793625766732622915891$ | $198022197651727705530664328^{2} \, - \, $$8743$$ \, \cdot \, 2117793625766732622915891^{2} = 1$ |
| $8745$ | $6359$ | $68$ | $6359^{2} \, - \, $$8745$$ \, \cdot \, 68^{2} = 1$ |
| $8746$ | $222280978327078720715502105518459826532641763155344231334237745625037072201077756411251$ | $2376826949682242297212647939206538852926819047272096669192058880261453037349038559650$ | $222280978327078720715502105518459826532641763155344231334237745625037072201077756411251^{2} \, - \, $$8746$$ \, \cdot \, 2376826949682242297212647939206538852926819047272096669192058880261453037349038559650^{2} = 1$ |
| $8747$ | $15997399797178828006226$ | $171048722638509724515$ | $15997399797178828006226^{2} \, - \, $$8747$$ \, \cdot \, 171048722638509724515^{2} = 1$ |
| $8749$ | $5173857097345$ | $55314019824$ | $5173857097345^{2} \, - \, $$8749$$ \, \cdot \, 55314019824^{2} = 1$ |
| $8751$ | $114558164008513965178802044135$ | $1224608311746337759741377332$ | $114558164008513965178802044135^{2} \, - \, $$8751$$ \, \cdot \, 1224608311746337759741377332^{2} = 1$ |
| $8753$ | $564315869301032228647102053420103477378443029793$ | $6031756475630207741513952316014484040015529704$ | $564315869301032228647102053420103477378443029793^{2} \, - \, $$8753$$ \, \cdot \, 6031756475630207741513952316014484040015529704^{2} = 1$ |
| $8754$ | $12104030300951732629323201968705$ | $129367960374240654570668662984$ | $12104030300951732629323201968705^{2} \, - \, $$8754$$ \, \cdot \, 129367960374240654570668662984^{2} = 1$ |
| $8755$ | $78499286$ | $838953$ | $78499286^{2} \, - \, $$8755$$ \, \cdot \, 838953^{2} = 1$ |
| $8758$ | $783857632952323745502691672783$ | $8375962442015532060394562556$ | $783857632952323745502691672783^{2} \, - \, $$8758$$ \, \cdot \, 8375962442015532060394562556^{2} = 1$ |
| $8759$ | $490695154835152104090315801$ | $5243056123413677314102180$ | $490695154835152104090315801^{2} \, - \, $$8759$$ \, \cdot \, 5243056123413677314102180^{2} = 1$ |
| $8761$ | $438049$ | $4680$ | $438049^{2} \, - \, $$8761$$ \, \cdot \, 4680^{2} = 1$ |
| $8762$ | $16849$ | $180$ | $16849^{2} \, - \, $$8762$$ \, \cdot \, 180^{2} = 1$ |
| $8763$ | $50329337$ | $537644$ | $50329337^{2} \, - \, $$8763$$ \, \cdot \, 537644^{2} = 1$ |
| $8765$ | $1205218873769393235329696330684695307747093769$ | $12873302185099345571287598144144476172147468$ | $1205218873769393235329696330684695307747093769^{2} \, - \, $$8765$$ \, \cdot \, 12873302185099345571287598144144476172147468^{2} = 1$ |
| $8767$ | $13948849830145152473$ | $148974828972488772$ | $13948849830145152473^{2} \, - \, $$8767$$ \, \cdot \, 148974828972488772^{2} = 1$ |
| $8769$ | $1145815$ | $12236$ | $1145815^{2} \, - \, $$8769$$ \, \cdot \, 12236^{2} = 1$ |
| $8770$ | $67995642628124534873385404626339$ | $726074669744548542182310615414$ | $67995642628124534873385404626339^{2} \, - \, $$8770$$ \, \cdot \, 726074669744548542182310615414^{2} = 1$ |
| $8773$ | $11093599$ | $118440$ | $11093599^{2} \, - \, $$8773$$ \, \cdot \, 118440^{2} = 1$ |
| $8774$ | $132544965$ | $1415026$ | $132544965^{2} \, - \, $$8774$$ \, \cdot \, 1415026^{2} = 1$ |
| $8777$ | $21752762786967$ | $232188857588$ | $21752762786967^{2} \, - \, $$8777$$ \, \cdot \, 232188857588^{2} = 1$ |
| $8778$ | $70643$ | $754$ | $70643^{2} \, - \, $$8778$$ \, \cdot \, 754^{2} = 1$ |
| $8779$ | $22395204983926547781906173025292795580548825107837761828279355665294332692877547729466673502299271690$ | $239019050807794284934022293216345212273308235038786205118095241552500528480345169540860910602772509$ | $22395204983926547781906173025292795580548825107837761828279355665294332692877547729466673502299271690^{2} \, - \, $$8779$$ \, \cdot \, 239019050807794284934022293216345212273308235038786205118095241552500528480345169540860910602772509^{2} = 1$ |
| $8781$ | $18033034770915885694188410479588363920922334370358655$ | $192440657256216448353900998666502271006890990242352$ | $18033034770915885694188410479588363920922334370358655^{2} \, - \, $$8781$$ \, \cdot \, 192440657256216448353900998666502271006890990242352^{2} = 1$ |
| $8782$ | $186170940812610351503$ | $1986621709533625812$ | $186170940812610351503^{2} \, - \, $$8782$$ \, \cdot \, 1986621709533625812^{2} = 1$ |
| $8783$ | $389114154960189184572147408$ | $4151983206137637069225719$ | $389114154960189184572147408^{2} \, - \, $$8783$$ \, \cdot \, 4151983206137637069225719^{2} = 1$ |
| $8785$ | $4212862762186180028842136486999$ | $44947591885210605264127517940$ | $4212862762186180028842136486999^{2} \, - \, $$8785$$ \, \cdot \, 44947591885210605264127517940^{2} = 1$ |
| $8786$ | $30255165$ | $322778$ | $30255165^{2} \, - \, $$8786$$ \, \cdot \, 322778^{2} = 1$ |
| $8787$ | $37471263612122$ | $399740384153$ | $37471263612122^{2} \, - \, $$8787$$ \, \cdot \, 399740384153^{2} = 1$ |
| $8789$ | $375$ | $4$ | $375^{2} \, - \, $$8789$$ \, \cdot \, 4^{2} = 1$ |
| $8790$ | $18751$ | $200$ | $18751^{2} \, - \, $$8790$$ \, \cdot \, 200^{2} = 1$ |
| $8791$ | $4831806333610917707697543023699140$ | $51533587724963015262616792283517$ | $4831806333610917707697543023699140^{2} \, - \, $$8791$$ \, \cdot \, 51533587724963015262616792283517^{2} = 1$ |
| $8794$ | $2423552291836807699$ | $25843966182553470$ | $2423552291836807699^{2} \, - \, $$8794$$ \, \cdot \, 25843966182553470^{2} = 1$ |
| $8795$ | $287560197759$ | $3066273232$ | $287560197759^{2} \, - \, $$8795$$ \, \cdot \, 3066273232^{2} = 1$ |
| $8797$ | $9300763255177548081299032401742222450243777399$ | $99163373721512285638263435595913419933949460$ | $9300763255177548081299032401742222450243777399^{2} \, - \, $$8797$$ \, \cdot \, 99163373721512285638263435595913419933949460^{2} = 1$ |
| $8798$ | $1486418446924651$ | $15847074790710$ | $1486418446924651^{2} \, - \, $$8798$$ \, \cdot \, 15847074790710^{2} = 1$ |
| $8799$ | $31424$ | $335$ | $31424^{2} \, - \, $$8799$$ \, \cdot \, 335^{2} = 1$ |
| $8801$ | $72431682985$ | $772080468$ | $72431682985^{2} \, - \, $$8801$$ \, \cdot \, 772080468^{2} = 1$ |
| $8803$ | $1112347793042$ | $11855646639$ | $1112347793042^{2} \, - \, $$8803$$ \, \cdot \, 11855646639^{2} = 1$ |
| $8805$ | $3260402976864906240641$ | $34746142852209332496$ | $3260402976864906240641^{2} \, - \, $$8805$$ \, \cdot \, 34746142852209332496^{2} = 1$ |
| $8806$ | $323749$ | $3450$ | $323749^{2} \, - \, $$8806$$ \, \cdot \, 3450^{2} = 1$ |
| $8807$ | $32534951031671789253762676008$ | $346685884305795248677440403$ | $32534951031671789253762676008^{2} \, - \, $$8807$$ \, \cdot \, 346685884305795248677440403^{2} = 1$ |
| $8809$ | $6925008665496287692818805088342190445448026670661596235297025535$ | $73783120050006150683680929269874271329729283016653061953191456$ | $6925008665496287692818805088342190445448026670661596235297025535^{2} \, - \, $$8809$$ \, \cdot \, 73783120050006150683680929269874271329729283016653061953191456^{2} = 1$ |
| $8810$ | $18462533779$ | $196699542$ | $18462533779^{2} \, - \, $$8810$$ \, \cdot \, 196699542^{2} = 1$ |
| $8813$ | $1953698547913201421048236633399$ | $20811130313199874348113095580$ | $1953698547913201421048236633399^{2} \, - \, $$8813$$ \, \cdot \, 20811130313199874348113095580^{2} = 1$ |
| $8814$ | $178689627266125301$ | $1903324420544730$ | $178689627266125301^{2} \, - \, $$8814$$ \, \cdot \, 1903324420544730^{2} = 1$ |
| $8815$ | $142804$ | $1521$ | $142804^{2} \, - \, $$8815$$ \, \cdot \, 1521^{2} = 1$ |
| $8817$ | $116782237110175489199647514455858532047703$ | $1243702106918659523186967534480868417268$ | $116782237110175489199647514455858532047703^{2} \, - \, $$8817$$ \, \cdot \, 1243702106918659523186967534480868417268^{2} = 1$ |
| $8818$ | $32244724035185990417$ | $343378909572606204$ | $32244724035185990417^{2} \, - \, $$8818$$ \, \cdot \, 343378909572606204^{2} = 1$ |
| $8819$ | $434543805871133087778490$ | $4627259891038548865239$ | $434543805871133087778490^{2} \, - \, $$8819$$ \, \cdot \, 4627259891038548865239^{2} = 1$ |
| $8821$ | $18265550877087558354013627101134396393144107164411277202026449087942618962969178128847989339751840751507847031555249526925209552823766987575692782214716836613524730337801$ | $194479515433061340149048486202312076672122692431460104884358890134327292584268071253767287684597920308267587237684836014095982144552139889629109094319763325099020788060$ | $18265550877087558354013627101134396393144107164411277202026449087942618962969178128847989339751840751507847031555249526925209552823766987575692782214716836613524730337801^{2} \, - \, $$8821$$ \, \cdot \, 194479515433061340149048486202312076672122692431460104884358890134327292584268071253767287684597920308267587237684836014095982144552139889629109094319763325099020788060^{2} = 1$ |
| $8822$ | $97684401$ | $1040020$ | $97684401^{2} \, - \, $$8822$$ \, \cdot \, 1040020^{2} = 1$ |
| $8823$ | $5107359112$ | $54373621$ | $5107359112^{2} \, - \, $$8823$$ \, \cdot \, 54373621^{2} = 1$ |
| $8826$ | $15922095256212735548749$ | $169479922316551149050$ | $15922095256212735548749^{2} \, - \, $$8826$$ \, \cdot \, 169479922316551149050^{2} = 1$ |
| $8827$ | $1494762167173274$ | $15909829808565$ | $1494762167173274^{2} \, - \, $$8827$$ \, \cdot \, 15909829808565^{2} = 1$ |
| $8830$ | $44094829153582881611$ | $469253275161256002$ | $44094829153582881611^{2} \, - \, $$8830$$ \, \cdot \, 469253275161256002^{2} = 1$ |
| $8831$ | $306975770521676671430189936979596119440189395537514480$ | $3266624054413440686794029576246502688528484570453823$ | $306975770521676671430189936979596119440189395537514480^{2} \, - \, $$8831$$ \, \cdot \, 3266624054413440686794029576246502688528484570453823^{2} = 1$ |
| $8834$ | $8835$ | $94$ | $8835^{2} \, - \, $$8834$$ \, \cdot \, 94^{2} = 1$ |
| $8835$ | $94$ | $1$ | $94^{2} \, - \, $$8835$$ \, \cdot \, 1^{2} = 1$ |
| $8837$ | $17673$ | $188$ | $17673^{2} \, - \, $$8837$$ \, \cdot \, 188^{2} = 1$ |
| $8839$ | $34655725426563169786968667367824793582590726791252276411814303615187926946840$ | $368615359210308346010899994206176240814708154517524120422082973247515403971$ | $34655725426563169786968667367824793582590726791252276411814303615187926946840^{2} \, - \, $$8839$$ \, \cdot \, 368615359210308346010899994206176240814708154517524120422082973247515403971^{2} = 1$ |
| $8841$ | $17020531963735$ | $181018280092$ | $17020531963735^{2} \, - \, $$8841$$ \, \cdot \, 181018280092^{2} = 1$ |
| $8842$ | $153052805143656788070785211478047554926718416804438056892782004186099$ | $1627668798751208882105831850077012677016102634989930651437951543470$ | $153052805143656788070785211478047554926718416804438056892782004186099^{2} \, - \, $$8842$$ \, \cdot \, 1627668798751208882105831850077012677016102634989930651437951543470^{2} = 1$ |
| $8843$ | $21005859374$ | $223378125$ | $21005859374^{2} \, - \, $$8843$$ \, \cdot \, 223378125^{2} = 1$ |
| $8845$ | $237391919070784001$ | $2524160769590880$ | $237391919070784001^{2} \, - \, $$8845$$ \, \cdot \, 2524160769590880^{2} = 1$ |
| $8846$ | $119865409911166768508430735$ | $1274442974046256285393388$ | $119865409911166768508430735^{2} \, - \, $$8846$$ \, \cdot \, 1274442974046256285393388^{2} = 1$ |
| $8849$ | $1842987009444283485578885164393308169114926206553202137460341463699928757043966230593018235552801$ | $19591837793979320923225459979335090649216106508286971921386621311390725928983216490602573802120$ | $1842987009444283485578885164393308169114926206553202137460341463699928757043966230593018235552801^{2} \, - \, $$8849$$ \, \cdot \, 19591837793979320923225459979335090649216106508286971921386621311390725928983216490602573802120^{2} = 1$ |
| $8851$ | $76262252811560047909790819326$ | $810612805142824212076112055$ | $76262252811560047909790819326^{2} \, - \, $$8851$$ \, \cdot \, 810612805142824212076112055^{2} = 1$ |
| $8853$ | $22763605018838399$ | $241933389104880$ | $22763605018838399^{2} \, - \, $$8853$$ \, \cdot \, 241933389104880^{2} = 1$ |
| $8854$ | $205505$ | $2184$ | $205505^{2} \, - \, $$8854$$ \, \cdot \, 2184^{2} = 1$ |
| $8855$ | $9316$ | $99$ | $9316^{2} \, - \, $$8855$$ \, \cdot \, 99^{2} = 1$ |
| $8857$ | $114544016429917260617510322925122104570937138650285455393$ | $1217107910309447228492373140730341866154021864173935192$ | $114544016429917260617510322925122104570937138650285455393^{2} \, - \, $$8857$$ \, \cdot \, 1217107910309447228492373140730341866154021864173935192^{2} = 1$ |
| $8858$ | $299308317634349$ | $3180174477810$ | $299308317634349^{2} \, - \, $$8858$$ \, \cdot \, 3180174477810^{2} = 1$ |
| $8859$ | $38565713116767745$ | $409740615464544$ | $38565713116767745^{2} \, - \, $$8859$$ \, \cdot \, 409740615464544^{2} = 1$ |
| $8861$ | $71093892135331797133449$ | $755250328187339562860$ | $71093892135331797133449^{2} \, - \, $$8861$$ \, \cdot \, 755250328187339562860^{2} = 1$ |
| $8862$ | $354901$ | $3770$ | $354901^{2} \, - \, $$8862$$ \, \cdot \, 3770^{2} = 1$ |
| $8863$ | $15908616880371927008$ | $168982623515733201$ | $15908616880371927008^{2} \, - \, $$8863$$ \, \cdot \, 168982623515733201^{2} = 1$ |
| $8866$ | $1309832544566513602205$ | $13910793808781510358$ | $1309832544566513602205^{2} \, - \, $$8866$$ \, \cdot \, 13910793808781510358^{2} = 1$ |
| $8867$ | $3969642411614358461813002226$ | $42156353025161343630377265$ | $3969642411614358461813002226^{2} \, - \, $$8867$$ \, \cdot \, 42156353025161343630377265^{2} = 1$ |
| $8870$ | $698216370079417619110811$ | $7413584072428909828566$ | $698216370079417619110811^{2} \, - \, $$8870$$ \, \cdot \, 7413584072428909828566^{2} = 1$ |
| $8871$ | $20209481459389300480675256107324$ | $214569940505273165942200742235$ | $20209481459389300480675256107324^{2} \, - \, $$8871$$ \, \cdot \, 214569940505273165942200742235^{2} = 1$ |
| $8873$ | $449751732559239519309525501783$ | $4774606712552951003347505884$ | $449751732559239519309525501783^{2} \, - \, $$8873$$ \, \cdot \, 4774606712552951003347505884^{2} = 1$ |
| $8877$ | $38900171919914999$ | $412874832738900$ | $38900171919914999^{2} \, - \, $$8877$$ \, \cdot \, 412874832738900^{2} = 1$ |
| $8878$ | $1258016092991373313$ | $13351455925670784$ | $1258016092991373313^{2} \, - \, $$8878$$ \, \cdot \, 13351455925670784^{2} = 1$ |
| $8879$ | $3385841947124418924$ | $35932269899763985$ | $3385841947124418924^{2} \, - \, $$8879$$ \, \cdot \, 35932269899763985^{2} = 1$ |
| $8881$ | $62447361376947110829170826894438037427658208531040030729176378775$ | $662648405954197366727772279102792181047219844494930202382198652$ | $62447361376947110829170826894438037427658208531040030729176378775^{2} \, - \, $$8881$$ \, \cdot \, 662648405954197366727772279102792181047219844494930202382198652^{2} = 1$ |
| $8882$ | $94097221843203$ | $998438724838$ | $94097221843203^{2} \, - \, $$8882$$ \, \cdot \, 998438724838^{2} = 1$ |
| $8885$ | $53073705034176842661129$ | $563054832704544337892$ | $53073705034176842661129^{2} \, - \, $$8885$$ \, \cdot \, 563054832704544337892^{2} = 1$ |
| $8886$ | $83019465379417305125$ | $880697529082342222$ | $83019465379417305125^{2} \, - \, $$8886$$ \, \cdot \, 880697529082342222^{2} = 1$ |
| $8887$ | $373334850704715440599781074952370971246838116013204494168$ | $3960234866109143081837462504988472799723039425916986773$ | $373334850704715440599781074952370971246838116013204494168^{2} \, - \, $$8887$$ \, \cdot \, 3960234866109143081837462504988472799723039425916986773^{2} = 1$ |
| $8889$ | $126570634812721714283391141755158091750913490654908695$ | $1342475922179130866740273905757680319271891560676596$ | $126570634812721714283391141755158091750913490654908695^{2} \, - \, $$8889$$ \, \cdot \, 1342475922179130866740273905757680319271891560676596^{2} = 1$ |
| $8890$ | $87121$ | $924$ | $87121^{2} \, - \, $$8890$$ \, \cdot \, 924^{2} = 1$ |
| $8891$ | $32661730586055$ | $346388836508$ | $32661730586055^{2} \, - \, $$8891$$ \, \cdot \, 346388836508^{2} = 1$ |
| $8893$ | $27231997694282222748956953286874508131328611915443860073234632280413961112401330410672809335769988989479162266249$ | $288772182675493897262828177756964041141993826565755576579612753659419414679812894084814105170812512947476633900$ | $27231997694282222748956953286874508131328611915443860073234632280413961112401330410672809335769988989479162266249^{2} \, - \, $$8893$$ \, \cdot \, 288772182675493897262828177756964041141993826565755576579612753659419414679812894084814105170812512947476633900^{2} = 1$ |
| $8894$ | $59439104633329140700713482742288388095$ | $630265733949960975491221399799174336$ | $59439104633329140700713482742288388095^{2} \, - \, $$8894$$ \, \cdot \, 630265733949960975491221399799174336^{2} = 1$ |
| $8895$ | $32193376$ | $341345$ | $32193376^{2} \, - \, $$8895$$ \, \cdot \, 341345^{2} = 1$ |
| $8897$ | $7940442463743$ | $84182711072$ | $7940442463743^{2} \, - \, $$8897$$ \, \cdot \, 84182711072^{2} = 1$ |
| $8898$ | $420081384105564737$ | $4453354170807704$ | $420081384105564737^{2} \, - \, $$8898$$ \, \cdot \, 4453354170807704^{2} = 1$ |
| $8899$ | $80090$ | $849$ | $80090^{2} \, - \, $$8899$$ \, \cdot \, 849^{2} = 1$ |
| $8902$ | $967684532265909066475910774923321601993159941034488901$ | $10256283200531065403067174981057607326884687722030830$ | $967684532265909066475910774923321601993159941034488901^{2} \, - \, $$8902$$ \, \cdot \, 10256283200531065403067174981057607326884687722030830^{2} = 1$ |
| $8903$ | $32059384028$ | $339771531$ | $32059384028^{2} \, - \, $$8903$$ \, \cdot \, 339771531^{2} = 1$ |
| $8905$ | $18565874209$ | $196742616$ | $18565874209^{2} \, - \, $$8905$$ \, \cdot \, 196742616^{2} = 1$ |
| $8906$ | $29595012051$ | $313600810$ | $29595012051^{2} \, - \, $$8906$$ \, \cdot \, 313600810^{2} = 1$ |
| $8907$ | $18793384324771226$ | $199131180801085$ | $18793384324771226^{2} \, - \, $$8907$$ \, \cdot \, 199131180801085^{2} = 1$ |
| $8909$ | $7551$ | $80$ | $7551^{2} \, - \, $$8909$$ \, \cdot \, 80^{2} = 1$ |
| $8911$ | $2172868616960883260$ | $23018140973805153$ | $2172868616960883260^{2} \, - \, $$8911$$ \, \cdot \, 23018140973805153^{2} = 1$ |
| $8913$ | $3665064685850876294188461069020656258327$ | $38821265707021485619269970580547071716$ | $3665064685850876294188461069020656258327^{2} \, - \, $$8913$$ \, \cdot \, 38821265707021485619269970580547071716^{2} = 1$ |
| $8914$ | $1560148110653120074649592349904510225$ | $16524545171699422210763825236559004$ | $1560148110653120074649592349904510225^{2} \, - \, $$8914$$ \, \cdot \, 16524545171699422210763825236559004^{2} = 1$ |
| $8915$ | $5474672690527471278126$ | $57982573308270305975$ | $5474672690527471278126^{2} \, - \, $$8915$$ \, \cdot \, 57982573308270305975^{2} = 1$ |
| $8917$ | $540727096230839006092515037179253606424733974379120649$ | $5726229494849241379057005494878847499605932951452060$ | $540727096230839006092515037179253606424733974379120649^{2} \, - \, $$8917$$ \, \cdot \, 5726229494849241379057005494878847499605932951452060^{2} = 1$ |
| $8921$ | $72343742900616348675431739944436951$ | $765939037536352450298406658885220$ | $72343742900616348675431739944436951^{2} \, - \, $$8921$$ \, \cdot \, 765939037536352450298406658885220^{2} = 1$ |
| $8922$ | $30584395164626985217967$ | $323793992541783701052$ | $30584395164626985217967^{2} \, - \, $$8922$$ \, \cdot \, 323793992541783701052^{2} = 1$ |
| $8923$ | $217832296368544247445894480626$ | $2306039931570403520121232725$ | $217832296368544247445894480626^{2} \, - \, $$8923$$ \, \cdot \, 2306039931570403520121232725^{2} = 1$ |
| $8926$ | $8406958276003258133928411815605302405564453099091394861392838552735211313825052649261832939775$ | $88983698098445755731003138694260408563192610081550228288696599648955443986016315582606103632$ | $8406958276003258133928411815605302405564453099091394861392838552735211313825052649261832939775^{2} \, - \, $$8926$$ \, \cdot \, 88983698098445755731003138694260408563192610081550228288696599648955443986016315582606103632^{2} = 1$ |
| $8927$ | $3371398483425024$ | $35682668043535$ | $3371398483425024^{2} \, - \, $$8927$$ \, \cdot \, 35682668043535^{2} = 1$ |
| $8929$ | $94489003306851711679574921622108975340076789972549099743748349078551196447562840161306551109843362444985197209349500545640404609186436896984860449$ | $999953618922283003898765505663061249100860168998613492680473398347100323302161833912285546463675492093409415475343716703867482171687572676538520$ | $94489003306851711679574921622108975340076789972549099743748349078551196447562840161306551109843362444985197209349500545640404609186436896984860449^{2} \, - \, $$8929$$ \, \cdot \, 999953618922283003898765505663061249100860168998613492680473398347100323302161833912285546463675492093409415475343716703867482171687572676538520^{2} = 1$ |
| $8930$ | $189$ | $2$ | $189^{2} \, - \, $$8930$$ \, \cdot \, 2^{2} = 1$ |
| $8931$ | $23815$ | $252$ | $23815^{2} \, - \, $$8931$$ \, \cdot \, 252^{2} = 1$ |
| $8933$ | $238656211693538412311472116633553415212907443125801418376402442134511672649$ | $2525073799257153124262089485363522388404470278758610537544133285084808780$ | $238656211693538412311472116633553415212907443125801418376402442134511672649^{2} \, - \, $$8933$$ \, \cdot \, 2525073799257153124262089485363522388404470278758610537544133285084808780^{2} = 1$ |
| $8934$ | $557190047275201$ | $5894953398840$ | $557190047275201^{2} \, - \, $$8934$$ \, \cdot \, 5894953398840^{2} = 1$ |
| $8935$ | $133160177326463067072294486244$ | $1408727804215528218340303419$ | $133160177326463067072294486244^{2} \, - \, $$8935$$ \, \cdot \, 1408727804215528218340303419^{2} = 1$ |
| $8938$ | $8148830309018254963$ | $86193615674196606$ | $8148830309018254963^{2} \, - \, $$8938$$ \, \cdot \, 86193615674196606^{2} = 1$ |
| $8939$ | $823406737028574$ | $8709033224995$ | $823406737028574^{2} \, - \, $$8939$$ \, \cdot \, 8709033224995^{2} = 1$ |
| $8941$ | $2565007112872132129669406439503954211359492684749762901360167370740763715001557789090674216330243703833040774221628256858633287876949448689668281446637464359482677366420261407112316649010675881349744201$ | $27126610172119035540864542981075550089190381938849116323732855930990771728447597698969628164719475714805646913222890277024408337458564351161990641948210581361708373955113191451102494265278824127994180$ | $2565007112872132129669406439503954211359492684749762901360167370740763715001557789090674216330243703833040774221628256858633287876949448689668281446637464359482677366420261407112316649010675881349744201^{2} \, - \, $$8941$$ \, \cdot \, 27126610172119035540864542981075550089190381938849116323732855930990771728447597698969628164719475714805646913222890277024408337458564351161990641948210581361708373955113191451102494265278824127994180^{2} = 1$ |
| $8942$ | $269313$ | $2848$ | $269313^{2} \, - \, $$8942$$ \, \cdot \, 2848^{2} = 1$ |
| $8943$ | $2019117748$ | $21351089$ | $2019117748^{2} \, - \, $$8943$$ \, \cdot \, 21351089^{2} = 1$ |
| $8945$ | $670278207489$ | $7087040704$ | $670278207489^{2} \, - \, $$8945$$ \, \cdot \, 7087040704^{2} = 1$ |
| $8947$ | $7126487759601980099581887655490263726$ | $75341944525399123497322170272120985$ | $7126487759601980099581887655490263726^{2} \, - \, $$8947$$ \, \cdot \, 75341944525399123497322170272120985^{2} = 1$ |
| $8949$ | $52911199$ | $559320$ | $52911199^{2} \, - \, $$8949$$ \, \cdot \, 559320^{2} = 1$ |
| $8951$ | $20083458338259835855704311160$ | $212276892367083405472456757$ | $20083458338259835855704311160^{2} \, - \, $$8951$$ \, \cdot \, 212276892367083405472456757^{2} = 1$ |
| $8953$ | $16835669987082265427216548346262224293021235821056223$ | $177928743505470010558320802512534541221083128174776$ | $16835669987082265427216548346262224293021235821056223^{2} \, - \, $$8953$$ \, \cdot \, 177928743505470010558320802512534541221083128174776^{2} = 1$ |
| $8958$ | $1441453080906974006027$ | $15229827406386883854$ | $1441453080906974006027^{2} \, - \, $$8958$$ \, \cdot \, 15229827406386883854^{2} = 1$ |
| $8961$ | $35133650224154682798684302815$ | $371146213932187840188545672$ | $35133650224154682798684302815^{2} \, - \, $$8961$$ \, \cdot \, 371146213932187840188545672^{2} = 1$ |
| $8962$ | $80657$ | $852$ | $80657^{2} \, - \, $$8962$$ \, \cdot \, 852^{2} = 1$ |
| $8963$ | $9592272049248346343573602$ | $101319908568006927991359$ | $9592272049248346343573602^{2} \, - \, $$8963$$ \, \cdot \, 101319908568006927991359^{2} = 1$ |
| $8965$ | $269051710056220957131922679$ | $2841584726397934533894084$ | $269051710056220957131922679^{2} \, - \, $$8965$$ \, \cdot \, 2841584726397934533894084^{2} = 1$ |
| $8966$ | $4641004359868613907564478637592731569657925$ | $49013149355670492901641797612016531636558$ | $4641004359868613907564478637592731569657925^{2} \, - \, $$8966$$ \, \cdot \, 49013149355670492901641797612016531636558^{2} = 1$ |
| $8969$ | $232833354142187008158063764606774170920993738416561123815796245852367296489837417096032078336801$ | $2458516812441777358472241500924729552873994511812222286947263968028311937160959307868498453880$ | $232833354142187008158063764606774170920993738416561123815796245852367296489837417096032078336801^{2} \, - \, $$8969$$ \, \cdot \, 2458516812441777358472241500924729552873994511812222286947263968028311937160959307868498453880^{2} = 1$ |
| $8970$ | $22541$ | $238$ | $22541^{2} \, - \, $$8970$$ \, \cdot \, 238^{2} = 1$ |
| $8971$ | $3127362484656816950125337271822321590719134286747248045136224834054733156218215330$ | $33018534518036151079807200175337853263837779473285626459436730786843964697619437$ | $3127362484656816950125337271822321590719134286747248045136224834054733156218215330^{2} \, - \, $$8971$$ \, \cdot \, 33018534518036151079807200175337853263837779473285626459436730786843964697619437^{2} = 1$ |
| $8974$ | $529914137201$ | $5593871340$ | $529914137201^{2} \, - \, $$8974$$ \, \cdot \, 5593871340^{2} = 1$ |
| $8977$ | $59852247247355672365719668749514197432183670288351$ | $631705777232948568998552741563813187616830202360$ | $59852247247355672365719668749514197432183670288351^{2} \, - \, $$8977$$ \, \cdot \, 631705777232948568998552741563813187616830202360^{2} = 1$ |
| $8979$ | $9778130$ | $103191$ | $9778130^{2} \, - \, $$8979$$ \, \cdot \, 103191^{2} = 1$ |
| $8981$ | $1632124883712204435373399191895686495$ | $17222295555640425776494619129937848$ | $1632124883712204435373399191895686495^{2} \, - \, $$8981$$ \, \cdot \, 17222295555640425776494619129937848^{2} = 1$ |
| $8983$ | $139272079735612093757995052$ | $1469445086666280869647971$ | $139272079735612093757995052^{2} \, - \, $$8983$$ \, \cdot \, 1469445086666280869647971^{2} = 1$ |
| $8985$ | $25217208382904607394080479$ | $266034503606721728387848$ | $25217208382904607394080479^{2} \, - \, $$8985$$ \, \cdot \, 266034503606721728387848^{2} = 1$ |
| $8986$ | $72798279909208304830509853118755084199525851611249691962065299$ | $767958781257561295227863792319493374629664696827906946535230$ | $72798279909208304830509853118755084199525851611249691962065299^{2} \, - \, $$8986$$ \, \cdot \, 767958781257561295227863792319493374629664696827906946535230^{2} = 1$ |
| $8987$ | $474$ | $5$ | $474^{2} \, - \, $$8987$$ \, \cdot \, 5^{2} = 1$ |
| $8989$ | $280090391272226181669803406950697796422336294907210613989558214938749250125001$ | $2954217864495302915966587050612150400922849751221706334300406441763821701500$ | $280090391272226181669803406950697796422336294907210613989558214938749250125001^{2} \, - \, $$8989$$ \, \cdot \, 2954217864495302915966587050612150400922849751221706334300406441763821701500^{2} = 1$ |
| $8990$ | $12326219$ | $130002$ | $12326219^{2} \, - \, $$8990$$ \, \cdot \, 130002^{2} = 1$ |
| $8994$ | $20559330415471166175111425$ | $216786645199000930691664$ | $20559330415471166175111425^{2} \, - \, $$8994$$ \, \cdot \, 216786645199000930691664^{2} = 1$ |
| $8995$ | $664080759673947874$ | $7001971098399855$ | $664080759673947874^{2} \, - \, $$8995$$ \, \cdot \, 7001971098399855^{2} = 1$ |
| $8997$ | $6276822590775539286768948725856499517404418399$ | $66174549529664780754232011655241135795735160$ | $6276822590775539286768948725856499517404418399^{2} \, - \, $$8997$$ \, \cdot \, 66174549529664780754232011655241135795735160^{2} = 1$ |
| $8998$ | $16951441652205122501$ | $178703741222532450$ | $16951441652205122501^{2} \, - \, $$8998$$ \, \cdot \, 178703741222532450^{2} = 1$ |
| $8999$ | $85508363337533160$ | $901387368933299$ | $85508363337533160^{2} \, - \, $$8999$$ \, \cdot \, 901387368933299^{2} = 1$ |