Fundamental Solutions to Pell's Equation for $n = 7001 \mathinner{\ldotp\ldotp} 8000$


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
$7001$ $790053196039677926886778525044517872807502934188423373909769631031454683714049$ $9442267404440923905149084122455778008092376598839700407141038056735755409120$ $790053196039677926886778525044517872807502934188423373909769631031454683714049^{2} \, - \, $$7001$$ \, \cdot \, 9442267404440923905149084122455778008092376598839700407141038056735755409120^{2} = 1$
$7003$ $44978771360426037700607$ $537483980625760951104$ $44978771360426037700607^{2} \, - \, $$7003$$ \, \cdot \, 537483980625760951104^{2} = 1$
$7005$ $203539128357796001$ $2431889516391720$ $203539128357796001^{2} \, - \, $$7005$$ \, \cdot \, 2431889516391720^{2} = 1$
$7006$ $45199$ $540$ $45199^{2} \, - \, $$7006$$ \, \cdot \, 540^{2} = 1$
$7009$ $5968586884642987024718791426530239934766608476057177628626581975$ $71292441884619989331785119646323093893923606030453059634026356$ $5968586884642987024718791426530239934766608476057177628626581975^{2} \, - \, $$7009$$ \, \cdot \, 71292441884619989331785119646323093893923606030453059634026356^{2} = 1$
$7010$ $50493873569379$ $603086600458$ $50493873569379^{2} \, - \, $$7010$$ \, \cdot \, 603086600458^{2} = 1$
$7013$ $33134587593$ $395666836$ $33134587593^{2} \, - \, $$7013$$ \, \cdot \, 395666836^{2} = 1$
$7014$ $335$ $4$ $335^{2} \, - \, $$7014$$ \, \cdot \, 4^{2} = 1$
$7015$ $85266658626544$ $1018041323277$ $85266658626544^{2} \, - \, $$7015$$ \, \cdot \, 1018041323277^{2} = 1$
$7017$ $222497291978034068692047519383$ $2656127946337734210891695308$ $222497291978034068692047519383^{2} \, - \, $$7017$$ \, \cdot \, 2656127946337734210891695308^{2} = 1$
$7019$ $15685615697050$ $187225047411$ $15685615697050^{2} \, - \, $$7019$$ \, \cdot \, 187225047411^{2} = 1$
$7021$ $87261862766258391096934722712700302199$ $1041417791973388778184505332303123060$ $87261862766258391096934722712700302199^{2} \, - \, $$7021$$ \, \cdot \, 1041417791973388778184505332303123060^{2} = 1$
$7022$ $321948451614677799733348011663$ $3841987328587009559539470188$ $321948451614677799733348011663^{2} \, - \, $$7022$$ \, \cdot \, 3841987328587009559539470188^{2} = 1$
$7023$ $4450800512849106735001$ $53110060385891688300$ $4450800512849106735001^{2} \, - \, $$7023$$ \, \cdot \, 53110060385891688300^{2} = 1$
$7026$ $7936322853905$ $94681527132$ $7936322853905^{2} \, - \, $$7026$$ \, \cdot \, 94681527132^{2} = 1$
$7027$ $185566496006740711828912891832420040080348162$ $2213678720923098823821299944198737694117497$ $185566496006740711828912891832420040080348162^{2} \, - \, $$7027$$ \, \cdot \, 2213678720923098823821299944198737694117497^{2} = 1$
$7030$ $1357895228146512191$ $16195285172668296$ $1357895228146512191^{2} \, - \, $$7030$$ \, \cdot \, 16195285172668296^{2} = 1$
$7031$ $15531480$ $185227$ $15531480^{2} \, - \, $$7031$$ \, \cdot \, 185227^{2} = 1$
$7033$ $258643291792427985627560254237832310476833$ $3084117461912154475824752367996621923544$ $258643291792427985627560254237832310476833^{2} \, - \, $$7033$$ \, \cdot \, 3084117461912154475824752367996621923544^{2} = 1$
$7034$ $1249723359463915899597874421789851739911251$ $14900907048805323953919464529044159657950$ $1249723359463915899597874421789851739911251^{2} \, - \, $$7034$$ \, \cdot \, 14900907048805323953919464529044159657950^{2} = 1$
$7035$ $671$ $8$ $671^{2} \, - \, $$7035$$ \, \cdot \, 8^{2} = 1$
$7037$ $14220440018148363126073659999$ $169519342525781074087095800$ $14220440018148363126073659999^{2} \, - \, $$7037$$ \, \cdot \, 169519342525781074087095800^{2} = 1$
$7039$ $128508380551666816104269966903993143430512361302828552255461096345132548454320$ $1531707955696692244138961278222210151949452854393085082748314546965620267329$ $128508380551666816104269966903993143430512361302828552255461096345132548454320^{2} \, - \, $$7039$$ \, \cdot \, 1531707955696692244138961278222210151949452854393085082748314546965620267329^{2} = 1$
$7041$ $2868130584299621998879570685881713415549975$ $34180762640228573111371465828664942887492$ $2868130584299621998879570685881713415549975^{2} \, - \, $$7041$$ \, \cdot \, 34180762640228573111371465828664942887492^{2} = 1$
$7042$ $1007$ $12$ $1007^{2} \, - \, $$7042$$ \, \cdot \, 12^{2} = 1$
$7043$ $11325730736312029251122842$ $134954505463356627447729$ $11325730736312029251122842^{2} \, - \, $$7043$$ \, \cdot \, 134954505463356627447729^{2} = 1$
$7045$ $25213078945801762673049289$ $300389940551072870918316$ $25213078945801762673049289^{2} \, - \, $$7045$$ \, \cdot \, 300389940551072870918316^{2} = 1$
$7046$ $1152789225529101564795$ $13733416436111660638$ $1152789225529101564795^{2} \, - \, $$7046$$ \, \cdot \, 13733416436111660638^{2} = 1$
$7049$ $2015$ $24$ $2015^{2} \, - \, $$7049$$ \, \cdot \, 24^{2} = 1$
$7051$ $7379479810$ $87882093$ $7379479810^{2} \, - \, $$7051$$ \, \cdot \, 87882093^{2} = 1$
$7053$ $4703$ $56$ $4703^{2} \, - \, $$7053$$ \, \cdot \, 56^{2} = 1$
$7054$ $7055$ $84$ $7055^{2} \, - \, $$7054$$ \, \cdot \, 84^{2} = 1$
$7055$ $84$ $1$ $84^{2} \, - \, $$7055$$ \, \cdot \, 1^{2} = 1$
$7057$ $14113$ $168$ $14113^{2} \, - \, $$7057$$ \, \cdot \, 168^{2} = 1$
$7058$ $7057$ $84$ $7057^{2} \, - \, $$7058$$ \, \cdot \, 84^{2} = 1$
$7059$ $4705$ $56$ $4705^{2} \, - \, $$7059$$ \, \cdot \, 56^{2} = 1$
$7061$ $15357217722705916255$ $182759278829788728$ $15357217722705916255^{2} \, - \, $$7061$$ \, \cdot \, 182759278829788728^{2} = 1$
$7062$ $2353$ $28$ $2353^{2} \, - \, $$7062$$ \, \cdot \, 28^{2} = 1$
$7063$ $2017$ $24$ $2017^{2} \, - \, $$7063$$ \, \cdot \, 24^{2} = 1$
$7066$ $98169193926485247864419983784591790834103154862780559504051$ $1167853612414908040416959766460124959086986125189218584790$ $98169193926485247864419983784591790834103154862780559504051^{2} \, - \, $$7066$$ \, \cdot \, 1167853612414908040416959766460124959086986125189218584790^{2} = 1$
$7067$ $11584600899238$ $137804541627$ $11584600899238^{2} \, - \, $$7067$$ \, \cdot \, 137804541627^{2} = 1$
$7069$ $329959897237417479079930719367268130844287108946747756845465067136197053482345478567798533562747141388527458080771609270125001$ $3924480439880631265362706671358414153430247840443808031794975916836788144503495562545762555845579277397515964288434231618500$ $329959897237417479079930719367268130844287108946747756845465067136197053482345478567798533562747141388527458080771609270125001^{2} \, - \, $$7069$$ \, \cdot \, 3924480439880631265362706671358414153430247840443808031794975916836788144503495562545762555845579277397515964288434231618500^{2} = 1$
$7070$ $1009$ $12$ $1009^{2} \, - \, $$7070$$ \, \cdot \, 12^{2} = 1$
$7071$ $1930458774470121023030346828124$ $22957263179061715239026652375$ $1930458774470121023030346828124^{2} \, - \, $$7071$$ \, \cdot \, 22957263179061715239026652375^{2} = 1$
$7073$ $7972466382330811044537943$ $94796186689132823994324$ $7972466382330811044537943^{2} \, - \, $$7073$$ \, \cdot \, 94796186689132823994324^{2} = 1$
$7077$ $673$ $8$ $673^{2} \, - \, $$7077$$ \, \cdot \, 8^{2} = 1$
$7078$ $17106461819726902459394915596118096433933213604901$ $203331616465712969444224932491961020788317633210$ $17106461819726902459394915596118096433933213604901^{2} \, - \, $$7078$$ \, \cdot \, 203331616465712969444224932491961020788317633210^{2} = 1$
$7079$ $70320904750093950354331609712040$ $835792546000985983471707851891$ $70320904750093950354331609712040^{2} \, - \, $$7079$$ \, \cdot \, 835792546000985983471707851891^{2} = 1$
$7081$ $6861852719746708107325107654918145$ $81544391275867648710881206856448$ $6861852719746708107325107654918145^{2} \, - \, $$7081$$ \, \cdot \, 81544391275867648710881206856448^{2} = 1$
$7082$ $24189635203036528083$ $287442749049891578$ $24189635203036528083^{2} \, - \, $$7082$$ \, \cdot \, 287442749049891578^{2} = 1$
$7085$ $105773559170969194569$ $1256629326651458116$ $105773559170969194569^{2} \, - \, $$7085$$ \, \cdot \, 1256629326651458116^{2} = 1$
$7086$ $1936572137674999056828299$ $23005575673184773256870$ $1936572137674999056828299^{2} \, - \, $$7086$$ \, \cdot \, 23005575673184773256870^{2} = 1$
$7087$ $76887537749585427282452$ $913323719974329342063$ $76887537749585427282452^{2} \, - \, $$7087$$ \, \cdot \, 913323719974329342063^{2} = 1$
$7089$ $4770708741351639842945$ $56661806270703971696$ $4770708741351639842945^{2} \, - \, $$7089$$ \, \cdot \, 56661806270703971696^{2} = 1$
$7090$ $10992689204874251779$ $130551189077962074$ $10992689204874251779^{2} \, - \, $$7090$$ \, \cdot \, 130551189077962074^{2} = 1$
$7091$ $84182807808126$ $999699935975$ $84182807808126^{2} \, - \, $$7091$$ \, \cdot \, 999699935975^{2} = 1$
$7093$ $11591673648528309261650475552649$ $137635722065302788501366289020$ $11591673648528309261650475552649^{2} \, - \, $$7093$$ \, \cdot \, 137635722065302788501366289020^{2} = 1$
$7094$ $4936772882649045112237925$ $58613486574420546366114$ $4936772882649045112237925^{2} \, - \, $$7094$$ \, \cdot \, 58613486574420546366114^{2} = 1$
$7095$ $79936$ $949$ $79936^{2} \, - \, $$7095$$ \, \cdot \, 949^{2} = 1$
$7097$ $133882677702552613599$ $1589230850943725320$ $133882677702552613599^{2} \, - \, $$7097$$ \, \cdot \, 1589230850943725320^{2} = 1$
$7099$ $192974709385326093771543352497161817833510$ $2290349753853833488181536949443416862251$ $192974709385326093771543352497161817833510^{2} \, - \, $$7099$$ \, \cdot \, 2290349753853833488181536949443416862251^{2} = 1$
$7102$ $63101740539450381138159947$ $748774428961892787385698$ $63101740539450381138159947^{2} \, - \, $$7102$$ \, \cdot \, 748774428961892787385698^{2} = 1$
$7103$ $482655173746128768$ $5726853303536671$ $482655173746128768^{2} \, - \, $$7103$$ \, \cdot \, 5726853303536671^{2} = 1$
$7106$ $6132769345$ $72751848$ $6132769345^{2} \, - \, $$7106$$ \, \cdot \, 72751848^{2} = 1$
$7107$ $2782$ $33$ $2782^{2} \, - \, $$7107$$ \, \cdot \, 33^{2} = 1$
$7109$ $5570643724585798251498431049$ $66069516183099823115987660$ $5570643724585798251498431049^{2} \, - \, $$7109$$ \, \cdot \, 66069516183099823115987660^{2} = 1$
$7111$ $325901217679499184254702205260908825$ $3864743218760161362135436341626628$ $325901217679499184254702205260908825^{2} \, - \, $$7111$$ \, \cdot \, 3864743218760161362135436341626628^{2} = 1$
$7113$ $352251337537997735951111524667287$ $4176632335827305364627833723444$ $352251337537997735951111524667287^{2} \, - \, $$7113$$ \, \cdot \, 4176632335827305364627833723444^{2} = 1$
$7114$ $221439888540850746592429668085828602910183625447673731027501289756401841714451$ $2625420812809428699729415794135547219173590582090719179885703174750819965990$ $221439888540850746592429668085828602910183625447673731027501289756401841714451^{2} \, - \, $$7114$$ \, \cdot \, 2625420812809428699729415794135547219173590582090719179885703174750819965990^{2} = 1$
$7115$ $238552101469884006$ $2828106725006147$ $238552101469884006^{2} \, - \, $$7115$$ \, \cdot \, 2828106725006147^{2} = 1$
$7117$ $98619492599$ $1168999380$ $98619492599^{2} \, - \, $$7117$$ \, \cdot \, 1168999380^{2} = 1$
$7118$ $738154081304213933583$ $8749193739164016004$ $738154081304213933583^{2} \, - \, $$7118$$ \, \cdot \, 8749193739164016004^{2} = 1$
$7121$ $7619376140004776260850059431126175072262604854878176704110980152692481440654917304449$ $90291926775583677737732252158597857665647746359147332490244662114728507195307714960$ $7619376140004776260850059431126175072262604854878176704110980152692481440654917304449^{2} \, - \, $$7121$$ \, \cdot \, 90291926775583677737732252158597857665647746359147332490244662114728507195307714960^{2} = 1$
$7122$ $1308196087697$ $15501433492$ $1308196087697^{2} \, - \, $$7122$$ \, \cdot \, 15501433492^{2} = 1$
$7123$ $105140672929207947055493402$ $1245774050081336037185319$ $105140672929207947055493402^{2} \, - \, $$7123$$ \, \cdot \, 1245774050081336037185319^{2} = 1$
$7126$ $68200121051$ $807908610$ $68200121051^{2} \, - \, $$7126$$ \, \cdot \, 807908610^{2} = 1$
$7127$ $4673451370149133916711928$ $55358504417895102341477$ $4673451370149133916711928^{2} \, - \, $$7127$$ \, \cdot \, 55358504417895102341477^{2} = 1$
$7129$ $821205314335918185705903485323002421157009001380419984918559496635491852453486965527464542522458264281957887474601249$ $9726071184956728850464556672466761202238629568408178764096779185235455735122701272615805370011114596537160027982200$ $821205314335918185705903485323002421157009001380419984918559496635491852453486965527464542522458264281957887474601249^{2} \, - \, $$7129$$ \, \cdot \, 9726071184956728850464556672466761202238629568408178764096779185235455735122701272615805370011114596537160027982200^{2} = 1$
$7130$ $26275661$ $311178$ $26275661^{2} \, - \, $$7130$$ \, \cdot \, 311178^{2} = 1$
$7131$ $2555627468690$ $30263721323$ $2555627468690^{2} \, - \, $$7131$$ \, \cdot \, 30263721323^{2} = 1$
$7133$ $585509247$ $6932624$ $585509247^{2} \, - \, $$7133$$ \, \cdot \, 6932624^{2} = 1$
$7134$ $50996365377535$ $603771586944$ $50996365377535^{2} \, - \, $$7134$$ \, \cdot \, 603771586944^{2} = 1$
$7135$ $19246925736067952865859804$ $227858052879524844906423$ $19246925736067952865859804^{2} \, - \, $$7135$$ \, \cdot \, 227858052879524844906423^{2} = 1$
$7138$ $374229190611501061638401$ $4429445765314124656560$ $374229190611501061638401^{2} \, - \, $$7138$$ \, \cdot \, 4429445765314124656560^{2} = 1$
$7141$ $31523702913734472191201616795822621039434720448273263097398369561396077077173449$ $373041981602988927308800453996837544359642608737128301705370736603939315458540$ $31523702913734472191201616795822621039434720448273263097398369561396077077173449^{2} \, - \, $$7141$$ \, \cdot \, 373041981602988927308800453996837544359642608737128301705370736603939315458540^{2} = 1$
$7142$ $3772164096577976530300730205634117$ $44635525712489905661529193985442$ $3772164096577976530300730205634117^{2} \, - \, $$7142$$ \, \cdot \, 44635525712489905661529193985442^{2} = 1$
$7143$ $103936481068$ $1229780731$ $103936481068^{2} \, - \, $$7143$$ \, \cdot \, 1229780731^{2} = 1$
$7145$ $2541473641$ $30066612$ $2541473641^{2} \, - \, $$7145$$ \, \cdot \, 30066612^{2} = 1$
$7147$ $3221704897533680102$ $38108676508641843$ $3221704897533680102^{2} \, - \, $$7147$$ \, \cdot \, 38108676508641843^{2} = 1$
$7149$ $74211941812670223571779557237280298338043304746868299255$ $877710202967165839392637004879928394619256752154408876$ $74211941812670223571779557237280298338043304746868299255^{2} \, - \, $$7149$$ \, \cdot \, 877710202967165839392637004879928394619256752154408876^{2} = 1$
$7151$ $14899502942470983534802910074321191065698587840$ $176192894928494963216227289946438837766256807$ $14899502942470983534802910074321191065698587840^{2} \, - \, $$7151$$ \, \cdot \, 176192894928494963216227289946438837766256807^{2} = 1$
$7153$ $1755107117082882144034277423928821979198857245151$ $20751978786983686347099961526130753555971474760$ $1755107117082882144034277423928821979198857245151^{2} \, - \, $$7153$$ \, \cdot \, 20751978786983686347099961526130753555971474760^{2} = 1$
$7157$ $37842849$ $447320$ $37842849^{2} \, - \, $$7157$$ \, \cdot \, 447320^{2} = 1$
$7158$ $313779631558277$ $3708761463446$ $313779631558277^{2} \, - \, $$7158$$ \, \cdot \, 3708761463446^{2} = 1$
$7159$ $389825726540685126406277027294113105746231645954870338429875941495413080520$ $4607276914722018315479111193398277059932369598795329812471043303711283019$ $389825726540685126406277027294113105746231645954870338429875941495413080520^{2} \, - \, $$7159$$ \, \cdot \, 4607276914722018315479111193398277059932369598795329812471043303711283019^{2} = 1$
$7161$ $265047582185$ $3132110028$ $265047582185^{2} \, - \, $$7161$$ \, \cdot \, 3132110028^{2} = 1$
$7162$ $292943864322685940639384097140012218498878556923265811517732681043$ $3461523209102947441343429747010043361977096601110942689932392098$ $292943864322685940639384097140012218498878556923265811517732681043^{2} \, - \, $$7162$$ \, \cdot \, 3461523209102947441343429747010043361977096601110942689932392098^{2} = 1$
$7163$ $45618$ $539$ $45618^{2} \, - \, $$7163$$ \, \cdot \, 539^{2} = 1$
$7165$ $177366388591483976076984592949375996739160385454541538605401284954569$ $2095382082450937318156193311319311463709631011384845648320964718588$ $177366388591483976076984592949375996739160385454541538605401284954569^{2} \, - \, $$7165$$ \, \cdot \, 2095382082450937318156193311319311463709631011384845648320964718588^{2} = 1$
$7166$ $980370050116423351527963895555409575935$ $11581148578417339179401711895660347392$ $980370050116423351527963895555409575935^{2} \, - \, $$7166$$ \, \cdot \, 11581148578417339179401711895660347392^{2} = 1$
$7167$ $2182819151527$ $25783926428$ $2182819151527^{2} \, - \, $$7167$$ \, \cdot \, 25783926428^{2} = 1$
$7169$ $3336390496309794941468515769974835415$ $39404660060240966962772291562631564$ $3336390496309794941468515769974835415^{2} \, - \, $$7169$$ \, \cdot \, 39404660060240966962772291562631564^{2} = 1$
$7170$ $958465925999$ $11319235620$ $958465925999^{2} \, - \, $$7170$$ \, \cdot \, 11319235620^{2} = 1$
$7171$ $8407758739865457596875001$ $99286540800775575202500$ $8407758739865457596875001^{2} \, - \, $$7171$$ \, \cdot \, 99286540800775575202500^{2} = 1$
$7174$ $60212800403131083325897445$ $710899387200043304248326$ $60212800403131083325897445^{2} \, - \, $$7174$$ \, \cdot \, 710899387200043304248326^{2} = 1$
$7177$ $1193770664110261408331750731923318151783284096816783924044017037371104725707319470217598605174243809231335454849$ $14091247052151856953331690162111416066192674254865361907767951573299686044021923442064157506592033903000524080$ $1193770664110261408331750731923318151783284096816783924044017037371104725707319470217598605174243809231335454849^{2} \, - \, $$7177$$ \, \cdot \, 14091247052151856953331690162111416066192674254865361907767951573299686044021923442064157506592033903000524080^{2} = 1$
$7178$ $60654099$ $715910$ $60654099^{2} \, - \, $$7178$$ \, \cdot \, 715910^{2} = 1$
$7179$ $2414551595737586572062311598890$ $28497352434261176303034117309$ $2414551595737586572062311598890^{2} \, - \, $$7179$$ \, \cdot \, 28497352434261176303034117309^{2} = 1$
$7181$ $283928055$ $3350548$ $283928055^{2} \, - \, $$7181$$ \, \cdot \, 3350548^{2} = 1$
$7183$ $639416086660913161224686183$ $7544502816321054331100844$ $639416086660913161224686183^{2} \, - \, $$7183$$ \, \cdot \, 7544502816321054331100844^{2} = 1$
$7185$ $7458830386698719$ $87994868213704$ $7458830386698719^{2} \, - \, $$7185$$ \, \cdot \, 87994868213704^{2} = 1$
$7186$ $248711267606077626902074980283907265857201251$ $2933944231765527016395481040829899875930050$ $248711267606077626902074980283907265857201251^{2} \, - \, $$7186$$ \, \cdot \, 2933944231765527016395481040829899875930050^{2} = 1$
$7187$ $17681122384179322376026$ $208562396177384795655$ $17681122384179322376026^{2} \, - \, $$7187$$ \, \cdot \, 208562396177384795655^{2} = 1$
$7189$ $198443854115140053927012477458800951$ $2340471792609433618559766224905140$ $198443854115140053927012477458800951^{2} \, - \, $$7189$$ \, \cdot \, 2340471792609433618559766224905140^{2} = 1$
$7190$ $463948014228479$ $5471480742624$ $463948014228479^{2} \, - \, $$7190$$ \, \cdot \, 5471480742624^{2} = 1$
$7193$ $147193224464496152727343497540659670076377927378971683230849$ $1735532652922001433272013358378872467835138394063886562160$ $147193224464496152727343497540659670076377927378971683230849^{2} \, - \, $$7193$$ \, \cdot \, 1735532652922001433272013358378872467835138394063886562160^{2} = 1$
$7194$ $496151215$ $5849636$ $496151215^{2} \, - \, $$7194$$ \, \cdot \, 5849636^{2} = 1$
$7195$ $901922831783152265525759$ $10632955147190261980512$ $901922831783152265525759^{2} \, - \, $$7195$$ \, \cdot \, 10632955147190261980512^{2} = 1$
$7197$ $3612834765251442938716596893030399$ $42586539150299346578430099541440$ $3612834765251442938716596893030399^{2} \, - \, $$7197$$ \, \cdot \, 42586539150299346578430099541440^{2} = 1$
$7198$ $47072896764806468984194727209099$ $554836474515118341300200093790$ $47072896764806468984194727209099^{2} \, - \, $$7198$$ \, \cdot \, 554836474515118341300200093790^{2} = 1$
$7199$ $3110817959787699994560$ $36663887431752765551$ $3110817959787699994560^{2} \, - \, $$7199$$ \, \cdot \, 36663887431752765551^{2} = 1$
$7201$ $3095734769962218915816420786293111278319706923684229579799$ $36481050824906466203274445163780489099903514974260150020$ $3095734769962218915816420786293111278319706923684229579799^{2} \, - \, $$7201$$ \, \cdot \, 36481050824906466203274445163780489099903514974260150020^{2} = 1$
$7202$ $7240617123$ $85319642$ $7240617123^{2} \, - \, $$7202$$ \, \cdot \, 85319642^{2} = 1$
$7205$ $1502340489$ $17699108$ $1502340489^{2} \, - \, $$7205$$ \, \cdot \, 17699108^{2} = 1$
$7206$ $5182784353201$ $61054265380$ $5182784353201^{2} \, - \, $$7206$$ \, \cdot \, 61054265380^{2} = 1$
$7207$ $26662177269858641140812012554467367781169230562131224$ $314064139500049557078200318875410564445350600716595$ $26662177269858641140812012554467367781169230562131224^{2} \, - \, $$7207$$ \, \cdot \, 314064139500049557078200318875410564445350600716595^{2} = 1$
$7210$ $230361369871681$ $2712951438984$ $230361369871681^{2} \, - \, $$7210$$ \, \cdot \, 2712951438984^{2} = 1$
$7211$ $271861382011039991627375849740014096370$ $3201472476818166141956657274189788253$ $271861382011039991627375849740014096370^{2} \, - \, $$7211$$ \, \cdot \, 3201472476818166141956657274189788253^{2} = 1$
$7213$ $1459154316381193$ $17180795086764$ $1459154316381193^{2} \, - \, $$7213$$ \, \cdot \, 17180795086764^{2} = 1$
$7214$ $116591392021407561959391063485329260567216015$ $1372708802226337864110634361392985678579596$ $116591392021407561959391063485329260567216015^{2} \, - \, $$7214$$ \, \cdot \, 1372708802226337864110634361392985678579596^{2} = 1$
$7215$ $1444$ $17$ $1444^{2} \, - \, $$7215$$ \, \cdot \, 17^{2} = 1$
$7217$ $17031059361563594986527455967$ $200476425403227212088195608$ $17031059361563594986527455967^{2} \, - \, $$7217$$ \, \cdot \, 200476425403227212088195608^{2} = 1$
$7219$ $21526977145353537263441936256972789903833833134426887129460879846209375980786628090$ $253363779455142500367526085859154781980824256994032427070466692202247158979105289$ $21526977145353537263441936256972789903833833134426887129460879846209375980786628090^{2} \, - \, $$7219$$ \, \cdot \, 253363779455142500367526085859154781980824256994032427070466692202247158979105289^{2} = 1$
$7221$ $306935$ $3612$ $306935^{2} \, - \, $$7221$$ \, \cdot \, 3612^{2} = 1$
$7222$ $11265943165147$ $132568033458$ $11265943165147^{2} \, - \, $$7222$$ \, \cdot \, 132568033458^{2} = 1$
$7223$ $7224$ $85$ $7224^{2} \, - \, $$7223$$ \, \cdot \, 85^{2} = 1$
$7226$ $14451$ $170$ $14451^{2} \, - \, $$7226$$ \, \cdot \, 170^{2} = 1$
$7229$ $188731392201$ $2219754940$ $188731392201^{2} \, - \, $$7229$$ \, \cdot \, 2219754940^{2} = 1$
$7230$ $2891$ $34$ $2891^{2} \, - \, $$7230$$ \, \cdot \, 34^{2} = 1$
$7231$ $90931817759840960624$ $1069342165929210975$ $90931817759840960624^{2} \, - \, $$7231$$ \, \cdot \, 1069342165929210975^{2} = 1$
$7233$ $23213719252787982113946404272343$ $272951506231817830610094230516$ $23213719252787982113946404272343^{2} \, - \, $$7233$$ \, \cdot \, 272951506231817830610094230516^{2} = 1$
$7234$ $932325155$ $10961706$ $932325155^{2} \, - \, $$7234$$ \, \cdot \, 10961706^{2} = 1$
$7235$ $1446$ $17$ $1446^{2} \, - \, $$7235$$ \, \cdot \, 17^{2} = 1$
$7237$ $4914761018278468851229736277718005980265752506550368987509081508736282078578915849$ $57772760388107035724641759022033656712082610933830473100536526075261100754804220$ $4914761018278468851229736277718005980265752506550368987509081508736282078578915849^{2} \, - \, $$7237$$ \, \cdot \, 57772760388107035724641759022033656712082610933830473100536526075261100754804220^{2} = 1$
$7238$ $174747$ $2054$ $174747^{2} \, - \, $$7238$$ \, \cdot \, 2054^{2} = 1$
$7239$ $10497497445145$ $123380489604$ $10497497445145^{2} \, - \, $$7239$$ \, \cdot \, 123380489604^{2} = 1$
$7241$ $16102247624635454441223782061351201$ $189228796526208908265268387505080$ $16102247624635454441223782061351201^{2} \, - \, $$7241$$ \, \cdot \, 189228796526208908265268387505080^{2} = 1$
$7242$ $851$ $10$ $851^{2} \, - \, $$7242$$ \, \cdot \, 10^{2} = 1$
$7243$ $104115493199608462993440824422035973229358396242$ $1223365188147034227787963846474081808002905171$ $104115493199608462993440824422035973229358396242^{2} \, - \, $$7243$$ \, \cdot \, 1223365188147034227787963846474081808002905171^{2} = 1$
$7246$ $2199750028450802072713649401334513168136506716899142726183703725409128435460495$ $25841883670735961292405078752389242212407204804745130303566287543720920204588$ $2199750028450802072713649401334513168136506716899142726183703725409128435460495^{2} \, - \, $$7246$$ \, \cdot \, 25841883670735961292405078752389242212407204804745130303566287543720920204588^{2} = 1$
$7247$ $3480542614396512285802128$ $40885359876352613483017$ $3480542614396512285802128^{2} \, - \, $$7247$$ \, \cdot \, 40885359876352613483017^{2} = 1$
$7249$ $14518651659981320194199$ $170524677024744665220$ $14518651659981320194199^{2} \, - \, $$7249$$ \, \cdot \, 170524677024744665220^{2} = 1$
$7251$ $73703059016198675409890$ $865538839612394667543$ $73703059016198675409890^{2} \, - \, $$7251$$ \, \cdot \, 865538839612394667543^{2} = 1$
$7253$ $522844729768006578354524873257000278913349495172485946249$ $6139229885607239525663578360068682519726019899906656700$ $522844729768006578354524873257000278913349495172485946249^{2} \, - \, $$7253$$ \, \cdot \, 6139229885607239525663578360068682519726019899906656700^{2} = 1$
$7255$ $257117934081432095900426540249$ $3018656257304925965130233580$ $257117934081432095900426540249^{2} \, - \, $$7255$$ \, \cdot \, 3018656257304925965130233580^{2} = 1$
$7257$ $56012037389399$ $657510675460$ $56012037389399^{2} \, - \, $$7257$$ \, \cdot \, 657510675460^{2} = 1$
$7258$ $227593403628642041505745517$ $2671475457658067593753506$ $227593403628642041505745517^{2} \, - \, $$7258$$ \, \cdot \, 2671475457658067593753506^{2} = 1$
$7259$ $426$ $5$ $426^{2} \, - \, $$7259$$ \, \cdot \, 5^{2} = 1$
$7261$ $94796284085491584177326111398143271222501937541961601715168329101112378206240072201$ $1112482262812894977577062744793669341568462039689351599483902066636877372070292980$ $94796284085491584177326111398143271222501937541961601715168329101112378206240072201^{2} \, - \, $$7261$$ \, \cdot \, 1112482262812894977577062744793669341568462039689351599483902066636877372070292980^{2} = 1$
$7262$ $3841599$ $45080$ $3841599^{2} \, - \, $$7262$$ \, \cdot \, 45080^{2} = 1$
$7265$ $999773945323519849299969$ $11729621691124439921408$ $999773945323519849299969^{2} \, - \, $$7265$$ \, \cdot \, 11729621691124439921408^{2} = 1$
$7266$ $4820497949$ $56551510$ $4820497949^{2} \, - \, $$7266$$ \, \cdot \, 56551510^{2} = 1$
$7269$ $4935359037442431306591514089061870934015$ $57887049981611822215555690912875075264$ $4935359037442431306591514089061870934015^{2} \, - \, $$7269$$ \, \cdot \, 57887049981611822215555690912875075264^{2} = 1$
$7270$ $5329044493758335053247634368891$ $62500305601955505531690118638$ $5329044493758335053247634368891^{2} \, - \, $$7270$$ \, \cdot \, 62500305601955505531690118638^{2} = 1$
$7271$ $71014926895001$ $832822734300$ $71014926895001^{2} \, - \, $$7271$$ \, \cdot \, 832822734300^{2} = 1$
$7273$ $11745860690143$ $137729842824$ $11745860690143^{2} \, - \, $$7273$$ \, \cdot \, 137729842824^{2} = 1$
$7274$ $4042700602032261259658940552027857585735109253299$ $47400719158563090092248272722826198319154020210$ $4042700602032261259658940552027857585735109253299^{2} \, - \, $$7274$$ \, \cdot \, 47400719158563090092248272722826198319154020210^{2} = 1$
$7277$ $1917761311473288338261404065151$ $22481141831525402071060255920$ $1917761311473288338261404065151^{2} \, - \, $$7277$$ \, \cdot \, 22481141831525402071060255920^{2} = 1$
$7278$ $27819766068533$ $326097484086$ $27819766068533^{2} \, - \, $$7278$$ \, \cdot \, 326097484086^{2} = 1$
$7279$ $501138820$ $5873841$ $501138820^{2} \, - \, $$7279$$ \, \cdot \, 5873841^{2} = 1$
$7282$ $65537$ $768$ $65537^{2} \, - \, $$7282$$ \, \cdot \, 768^{2} = 1$
$7283$ $417137074358502367322$ $4887914897207312151$ $417137074358502367322^{2} \, - \, $$7283$$ \, \cdot \, 4887914897207312151^{2} = 1$
$7285$ $29763985795103222969114719$ $348719562015388004861784$ $29763985795103222969114719^{2} \, - \, $$7285$$ \, \cdot \, 348719562015388004861784^{2} = 1$
$7286$ $789816021168812930231096406684012965$ $9252974292348563694033633978124722$ $789816021168812930231096406684012965^{2} \, - \, $$7286$$ \, \cdot \, 9252974292348563694033633978124722^{2} = 1$
$7287$ $293908$ $3443$ $293908^{2} \, - \, $$7287$$ \, \cdot \, 3443^{2} = 1$
$7289$ $2535929385$ $29703196$ $2535929385^{2} \, - \, $$7289$$ \, \cdot \, 29703196^{2} = 1$
$7291$ $3126029934645642304088425434042682092665$ $36609987732814433462981852635913460108$ $3126029934645642304088425434042682092665^{2} \, - \, $$7291$$ \, \cdot \, 36609987732814433462981852635913460108^{2} = 1$
$7293$ $38926601$ $455820$ $38926601^{2} \, - \, $$7293$$ \, \cdot \, 455820^{2} = 1$
$7294$ $17401465934649291601392788886907344447145535$ $203752504707289597550011905016337559455064$ $17401465934649291601392788886907344447145535^{2} \, - \, $$7294$$ \, \cdot \, 203752504707289597550011905016337559455064^{2} = 1$
$7295$ $34623607905639$ $405377530636$ $34623607905639^{2} \, - \, $$7295$$ \, \cdot \, 405377530636^{2} = 1$
$7297$ $468624703788668366900213505889063324547045153811526012044150894444128143704296193674230484291362849$ $5485964662437560649732140905037198283753148959443758354365503085468704367039735187656497645405880$ $468624703788668366900213505889063324547045153811526012044150894444128143704296193674230484291362849^{2} \, - \, $$7297$$ \, \cdot \, 5485964662437560649732140905037198283753148959443758354365503085468704367039735187656497645405880^{2} = 1$
$7298$ $357603$ $4186$ $357603^{2} \, - \, $$7298$$ \, \cdot \, 4186^{2} = 1$
$7302$ $417680337043717492412837$ $4887909050159231288822$ $417680337043717492412837^{2} \, - \, $$7302$$ \, \cdot \, 4887909050159231288822^{2} = 1$
$7303$ $1475923623558679460880628300628$ $17270830971161226114981946731$ $1475923623558679460880628300628^{2} \, - \, $$7303$$ \, \cdot \, 17270830971161226114981946731^{2} = 1$
$7305$ $360985571186979228448361$ $4223570356684384545332$ $360985571186979228448361^{2} \, - \, $$7305$$ \, \cdot \, 4223570356684384545332^{2} = 1$
$7306$ $370667365770484101393911251$ $4336551593347762777499850$ $370667365770484101393911251^{2} \, - \, $$7306$$ \, \cdot \, 4336551593347762777499850^{2} = 1$
$7307$ $345635364068777757661275626$ $4043417791763721408646275$ $345635364068777757661275626^{2} \, - \, $$7307$$ \, \cdot \, 4043417791763721408646275^{2} = 1$
$7309$ $118813513087295101811365750260834619580631786727280413024201$ $1389750555753234514317084679502994763315084293499202179740$ $118813513087295101811365750260834619580631786727280413024201^{2} \, - \, $$7309$$ \, \cdot \, 1389750555753234514317084679502994763315084293499202179740^{2} = 1$
$7310$ $171$ $2$ $171^{2} \, - \, $$7310$$ \, \cdot \, 2^{2} = 1$
$7311$ $19495$ $228$ $19495^{2} \, - \, $$7311$$ \, \cdot \, 228^{2} = 1$
$7313$ $233909166689510901983$ $2735265294047880024$ $233909166689510901983^{2} \, - \, $$7313$$ \, \cdot \, 2735265294047880024^{2} = 1$
$7314$ $833529199$ $9746380$ $833529199^{2} \, - \, $$7314$$ \, \cdot \, 9746380^{2} = 1$
$7315$ $3079$ $36$ $3079^{2} \, - \, $$7315$$ \, \cdot \, 36^{2} = 1$
$7318$ $505719568556285971536578885397901107905292832841957$ $5911715916781390100014740812890694860307252457906$ $505719568556285971536578885397901107905292832841957^{2} \, - \, $$7318$$ \, \cdot \, 5911715916781390100014740812890694860307252457906^{2} = 1$
$7319$ $103376935$ $1208364$ $103376935^{2} \, - \, $$7319$$ \, \cdot \, 1208364^{2} = 1$
$7321$ $1136225732589580627349864901275976095927509195782395612115751450511427165426626589746083413267487475080396801$ $13279429489312969392969628773146127386688196093831396661373555634938348677221852068430192326580872319799040$ $1136225732589580627349864901275976095927509195782395612115751450511427165426626589746083413267487475080396801^{2} \, - \, $$7321$$ \, \cdot \, 13279429489312969392969628773146127386688196093831396661373555634938348677221852068430192326580872319799040^{2} = 1$
$7322$ $19092514573$ $223125018$ $19092514573^{2} \, - \, $$7322$$ \, \cdot \, 223125018^{2} = 1$
$7323$ $678760160057146313042$ $7931801303704811659$ $678760160057146313042^{2} \, - \, $$7323$$ \, \cdot \, 7931801303704811659^{2} = 1$
$7327$ $87476588445665672288$ $1021947867147859503$ $87476588445665672288^{2} \, - \, $$7327$$ \, \cdot \, 1021947867147859503^{2} = 1$
$7329$ $9103341110446781465752855$ $106335543604643178130884$ $9103341110446781465752855^{2} \, - \, $$7329$$ \, \cdot \, 106335543604643178130884^{2} = 1$
$7330$ $2477539$ $28938$ $2477539^{2} \, - \, $$7330$$ \, \cdot \, 28938^{2} = 1$
$7331$ $6883523090$ $80395023$ $6883523090^{2} \, - \, $$7331$$ \, \cdot \, 80395023^{2} = 1$
$7333$ $4475768678886743604936594255404470463340859735433700405408482373500517779201527617297331872259219849$ $52266905760088978032747115351701610124087660049233557987267765549739970167926042692483913195847460$ $4475768678886743604936594255404470463340859735433700405408482373500517779201527617297331872259219849^{2} \, - \, $$7333$$ \, \cdot \, 52266905760088978032747115351701610124087660049233557987267765549739970167926042692483913195847460^{2} = 1$
$7334$ $53980946245$ $630332994$ $53980946245^{2} \, - \, $$7334$$ \, \cdot \, 630332994^{2} = 1$
$7337$ $329073714399$ $3841792760$ $329073714399^{2} \, - \, $$7337$$ \, \cdot \, 3841792760^{2} = 1$
$7338$ $748119071586112681151$ $8733370252368711640$ $748119071586112681151^{2} \, - \, $$7338$$ \, \cdot \, 8733370252368711640^{2} = 1$
$7339$ $66050$ $771$ $66050^{2} \, - \, $$7339$$ \, \cdot \, 771^{2} = 1$
$7341$ $77152064444644561823933108850839760584134400229728255$ $900471432634266490309685176323022704587054123025792$ $77152064444644561823933108850839760584134400229728255^{2} \, - \, $$7341$$ \, \cdot \, 900471432634266490309685176323022704587054123025792^{2} = 1$
$7342$ $2318728447856353205516763989404963624942466288783$ $27060928899597329911610772913040060407043327892$ $2318728447856353205516763989404963624942466288783^{2} \, - \, $$7342$$ \, \cdot \, 27060928899597329911610772913040060407043327892^{2} = 1$
$7343$ $284363028048$ $3318458311$ $284363028048^{2} \, - \, $$7343$$ \, \cdot \, 3318458311^{2} = 1$
$7345$ $1211578728732810375312365579809$ $14136950583714064853382719928$ $1211578728732810375312365579809^{2} \, - \, $$7345$$ \, \cdot \, 14136950583714064853382719928^{2} = 1$
$7346$ $789436109648717585$ $9210676424583612$ $789436109648717585^{2} \, - \, $$7346$$ \, \cdot \, 9210676424583612^{2} = 1$
$7347$ $240001$ $2800$ $240001^{2} \, - \, $$7347$$ \, \cdot \, 2800^{2} = 1$
$7349$ $45658228188179446550530066851465375458180261745045647006878338753801$ $532604621508877381188137329516572880812463524113999687277370593820$ $45658228188179446550530066851465375458180261745045647006878338753801^{2} \, - \, $$7349$$ \, \cdot \, 532604621508877381188137329516572880812463524113999687277370593820^{2} = 1$
$7351$ $290048629774292130982811417967065924365981040876920331869273744268130168801819080$ $3382965795720707618265783479647860190176500167484962128926675544040403171470443$ $290048629774292130982811417967065924365981040876920331869273744268130168801819080^{2} \, - \, $$7351$$ \, \cdot \, 3382965795720707618265783479647860190176500167484962128926675544040403171470443^{2} = 1$
$7354$ $404650669584574363212049191149536127611394555831444194022950056433836491832499$ $4718657446022952867794191670353016674075864666915547665328641664401796233050$ $404650669584574363212049191149536127611394555831444194022950056433836491832499^{2} \, - \, $$7354$$ \, \cdot \, 4718657446022952867794191670353016674075864666915547665328641664401796233050^{2} = 1$
$7355$ $3048865209$ $35550596$ $3048865209^{2} \, - \, $$7355$$ \, \cdot \, 35550596^{2} = 1$
$7357$ $345950894842840284332422258130800349581500561171627844610337151$ $4033333005284317782762546987332923114826738717464937995678320$ $345950894842840284332422258130800349581500561171627844610337151^{2} \, - \, $$7357$$ \, \cdot \, 4033333005284317782762546987332923114826738717464937995678320^{2} = 1$
$7358$ $688600693$ $8027634$ $688600693^{2} \, - \, $$7358$$ \, \cdot \, 8027634^{2} = 1$
$7359$ $5576$ $65$ $5576^{2} \, - \, $$7359$$ \, \cdot \, 65^{2} = 1$
$7361$ $29452760787492469025$ $343287192779896872$ $29452760787492469025^{2} \, - \, $$7361$$ \, \cdot \, 343287192779896872^{2} = 1$
$7363$ $9280001388324099666158$ $108148535042542547649$ $9280001388324099666158^{2} \, - \, $$7363$$ \, \cdot \, 108148535042542547649^{2} = 1$
$7365$ $3049263231575905079$ $35531090877327276$ $3049263231575905079^{2} \, - \, $$7365$$ \, \cdot \, 35531090877327276^{2} = 1$
$7366$ $71712125526742763615573601709158299$ $835558261855572845832761149047930$ $71712125526742763615573601709158299^{2} \, - \, $$7366$$ \, \cdot \, 835558261855572845832761149047930^{2} = 1$
$7367$ $11141713052$ $129809547$ $11141713052^{2} \, - \, $$7367$$ \, \cdot \, 129809547^{2} = 1$
$7369$ $72735944429468441403887352944871221173267764345935563433334518873519015739843968056052128832641773740740483084801$ $847314822847482599887979157306315084969713114093419563891590863506090043058266171648950081719652476462510442720$ $72735944429468441403887352944871221173267764345935563433334518873519015739843968056052128832641773740740483084801^{2} \, - \, $$7369$$ \, \cdot \, 847314822847482599887979157306315084969713114093419563891590863506090043058266171648950081719652476462510442720^{2} = 1$
$7370$ $19682189$ $229266$ $19682189^{2} \, - \, $$7370$$ \, \cdot \, 229266^{2} = 1$
$7373$ $146386147086753607603444659849$ $1704817376311393106805466060$ $146386147086753607603444659849^{2} \, - \, $$7373$$ \, \cdot \, 1704817376311393106805466060^{2} = 1$
$7374$ $38406251$ $447250$ $38406251^{2} \, - \, $$7374$$ \, \cdot \, 447250^{2} = 1$
$7377$ $620202379788721423814423$ $7220936678454263786908$ $620202379788721423814423^{2} \, - \, $$7377$$ \, \cdot \, 7220936678454263786908^{2} = 1$
$7378$ $156673$ $1824$ $156673^{2} \, - \, $$7378$$ \, \cdot \, 1824^{2} = 1$
$7379$ $913226797869084895186745$ $10631141333769138789516$ $913226797869084895186745^{2} \, - \, $$7379$$ \, \cdot \, 10631141333769138789516^{2} = 1$
$7382$ $452742696428472013125459312901$ $5269439621727189753646133370$ $452742696428472013125459312901^{2} \, - \, $$7382$$ \, \cdot \, 5269439621727189753646133370^{2} = 1$
$7383$ $601127$ $6996$ $601127^{2} \, - \, $$7383$$ \, \cdot \, 6996^{2} = 1$
$7385$ $4331911478222231$ $50408563735956$ $4331911478222231^{2} \, - \, $$7385$$ \, \cdot \, 50408563735956^{2} = 1$
$7386$ $212203398652650409949957786701$ $2469151191999832477103949130$ $212203398652650409949957786701^{2} \, - \, $$7386$$ \, \cdot \, 2469151191999832477103949130^{2} = 1$
$7387$ $973377602$ $11325237$ $973377602^{2} \, - \, $$7387$$ \, \cdot \, 11325237^{2} = 1$
$7390$ $9054110182572734044501$ $105323081267377329510$ $9054110182572734044501^{2} \, - \, $$7390$$ \, \cdot \, 105323081267377329510^{2} = 1$
$7391$ $4792152790704999$ $55741551844300$ $4792152790704999^{2} \, - \, $$7391$$ \, \cdot \, 55741551844300^{2} = 1$
$7393$ $2268682808494566987260421045036901147837974991495965451331330079027124127527439675362545256885256338725997847572993$ $26385384481007227627228541128998583122589886261480158691155258303929764752370729327623296912575508003280988194656$ $2268682808494566987260421045036901147837974991495965451331330079027124127527439675362545256885256338725997847572993^{2} \, - \, $$7393$$ \, \cdot \, 26385384481007227627228541128998583122589886261480158691155258303929764752370729327623296912575508003280988194656^{2} = 1$
$7394$ $7395$ $86$ $7395^{2} \, - \, $$7394$$ \, \cdot \, 86^{2} = 1$
$7395$ $86$ $1$ $86^{2} \, - \, $$7395$$ \, \cdot \, 1^{2} = 1$
$7397$ $14793$ $172$ $14793^{2} \, - \, $$7397$$ \, \cdot \, 172^{2} = 1$
$7401$ $22395633693212112879823232796835635081265130740067682775$ $260326364475725301573764832873978272812147928891110532$ $22395633693212112879823232796835635081265130740067682775^{2} \, - \, $$7401$$ \, \cdot \, 260326364475725301573764832873978272812147928891110532^{2} = 1$
$7402$ $86883034972748624626101338899$ $1009858308128453883645080310$ $86883034972748624626101338899^{2} \, - \, $$7402$$ \, \cdot \, 1009858308128453883645080310^{2} = 1$
$7403$ $40864887279226$ $474948401805$ $40864887279226^{2} \, - \, $$7403$$ \, \cdot \, 474948401805^{2} = 1$
$7405$ $76412016266770889$ $887971706482212$ $76412016266770889^{2} \, - \, $$7405$$ \, \cdot \, 887971706482212^{2} = 1$
$7409$ $111775973496695234708955459551$ $1298579861743879557084130680$ $111775973496695234708955459551^{2} \, - \, $$7409$$ \, \cdot \, 1298579861743879557084130680^{2} = 1$
$7410$ $312131$ $3626$ $312131^{2} \, - \, $$7410$$ \, \cdot \, 3626^{2} = 1$
$7411$ $1606123810134536675134791783873045282547815949793120473085231193967575770$ $18656948544212421389830852909245103261084926038386951977803677370233047$ $1606123810134536675134791783873045282547815949793120473085231193967575770^{2} \, - \, $$7411$$ \, \cdot \, 18656948544212421389830852909245103261084926038386951977803677370233047^{2} = 1$
$7413$ $70601$ $820$ $70601^{2} \, - \, $$7413$$ \, \cdot \, 820^{2} = 1$
$7414$ $1249064800473784946954002192612262908499725925$ $14506367613791360217331502024491476238432254$ $1249064800473784946954002192612262908499725925^{2} \, - \, $$7414$$ \, \cdot \, 14506367613791360217331502024491476238432254^{2} = 1$
$7415$ $120124$ $1395$ $120124^{2} \, - \, $$7415$$ \, \cdot \, 1395^{2} = 1$
$7417$ $121564348574334136759780487971619414509425143461459203672016387576351491259201879683051376497920701466644993$ $1411536418438203538160588295390362561033408547462071362958785259329970737452010885951788249301604426956512$ $121564348574334136759780487971619414509425143461459203672016387576351491259201879683051376497920701466644993^{2} \, - \, $$7417$$ \, \cdot \, 1411536418438203538160588295390362561033408547462071362958785259329970737452010885951788249301604426956512^{2} = 1$
$7418$ $14079557371370643$ $163472832344594$ $14079557371370643^{2} \, - \, $$7418$$ \, \cdot \, 163472832344594^{2} = 1$
$7419$ $14690317390945$ $170552658536$ $14690317390945^{2} \, - \, $$7419$$ \, \cdot \, 170552658536^{2} = 1$
$7421$ $123191080061070383207776283439317581449$ $1430039544507899517018572046580434260$ $123191080061070383207776283439317581449^{2} \, - \, $$7421$$ \, \cdot \, 1430039544507899517018572046580434260^{2} = 1$
$7422$ $402039509520149$ $4666682553990$ $402039509520149^{2} \, - \, $$7422$$ \, \cdot \, 4666682553990^{2} = 1$
$7423$ $2970343$ $34476$ $2970343^{2} \, - \, $$7423$$ \, \cdot \, 34476^{2} = 1$
$7426$ $11375$ $132$ $11375^{2} \, - \, $$7426$$ \, \cdot \, 132^{2} = 1$
$7427$ $73745418769401$ $855713402620$ $73745418769401^{2} \, - \, $$7427$$ \, \cdot \, 855713402620^{2} = 1$
$7429$ $492708237338423706368133486121382793366199$ $5716426764131166558034665029763780874380$ $492708237338423706368133486121382793366199^{2} \, - \, $$7429$$ \, \cdot \, 5716426764131166558034665029763780874380^{2} = 1$
$7430$ $10700354936916091$ $124137723508386$ $10700354936916091^{2} \, - \, $$7430$$ \, \cdot \, 124137723508386^{2} = 1$
$7431$ $3512585539451965586053324$ $40747716737505898111915$ $3512585539451965586053324^{2} \, - \, $$7431$$ \, \cdot \, 40747716737505898111915^{2} = 1$
$7433$ $227619132831519465129355194429259534194879246849$ $2640138425707638764689044195597308889738185440$ $227619132831519465129355194429259534194879246849^{2} \, - \, $$7433$$ \, \cdot \, 2640138425707638764689044195597308889738185440^{2} = 1$
$7435$ $42404642881731931243507372576846$ $491782333840116521136602007117$ $42404642881731931243507372576846^{2} \, - \, $$7435$$ \, \cdot \, 491782333840116521136602007117^{2} = 1$
$7437$ $2969784649$ $34437060$ $2969784649^{2} \, - \, $$7437$$ \, \cdot \, 34437060^{2} = 1$
$7438$ $144355593336521630548751316130122873097981372760745743$ $1673807575524818523424071316681313065683964392833436$ $144355593336521630548751316130122873097981372760745743^{2} \, - \, $$7438$$ \, \cdot \, 1673807575524818523424071316681313065683964392833436^{2} = 1$
$7439$ $345$ $4$ $345^{2} \, - \, $$7439$$ \, \cdot \, 4^{2} = 1$
$7441$ $2161470073464914645215$ $25057259728135570008$ $2161470073464914645215^{2} \, - \, $$7441$$ \, \cdot \, 25057259728135570008^{2} = 1$
$7445$ $2768298630930178457761$ $32083414849361433096$ $2768298630930178457761^{2} \, - \, $$7445$$ \, \cdot \, 32083414849361433096^{2} = 1$
$7446$ $28926526085$ $335223738$ $28926526085^{2} \, - \, $$7446$$ \, \cdot \, 335223738^{2} = 1$
$7447$ $2281822880371636330972$ $26441814470441677533$ $2281822880371636330972^{2} \, - \, $$7447$$ \, \cdot \, 26441814470441677533^{2} = 1$
$7449$ $839255$ $9724$ $839255^{2} \, - \, $$7449$$ \, \cdot \, 9724^{2} = 1$
$7451$ $136368560022176638248850$ $1579817691401434050357$ $136368560022176638248850^{2} \, - \, $$7451$$ \, \cdot \, 1579817691401434050357^{2} = 1$
$7453$ $8686601$ $100620$ $8686601^{2} \, - \, $$7453$$ \, \cdot \, 100620^{2} = 1$
$7454$ $63424873350826925548369506136131135$ $734623664952097541714133815464984$ $63424873350826925548369506136131135^{2} \, - \, $$7454$$ \, \cdot \, 734623664952097541714133815464984^{2} = 1$
$7455$ $9584$ $111$ $9584^{2} \, - \, $$7455$$ \, \cdot \, 111^{2} = 1$
$7457$ $5026680397254657387940753011432447652293553953$ $58210214759432993718584339282834891421475688$ $5026680397254657387940753011432447652293553953^{2} \, - \, $$7457$$ \, \cdot \, 58210214759432993718584339282834891421475688^{2} = 1$
$7458$ $144096017$ $1668556$ $144096017^{2} \, - \, $$7458$$ \, \cdot \, 1668556^{2} = 1$
$7459$ $26648055650757642087807431036450$ $308549767196627371000021326831$ $26648055650757642087807431036450^{2} \, - \, $$7459$$ \, \cdot \, 308549767196627371000021326831^{2} = 1$
$7462$ $47340613350757$ $548032429098$ $47340613350757^{2} \, - \, $$7462$$ \, \cdot \, 548032429098^{2} = 1$
$7463$ $1198328727103224$ $13871366605235$ $1198328727103224^{2} \, - \, $$7463$$ \, \cdot \, 13871366605235^{2} = 1$
$7465$ $373249$ $4320$ $373249^{2} \, - \, $$7465$$ \, \cdot \, 4320^{2} = 1$
$7466$ $31435621859647919336478310601486451$ $363812874090110622386367126377630$ $31435621859647919336478310601486451^{2} \, - \, $$7466$$ \, \cdot \, 363812874090110622386367126377630^{2} = 1$
$7467$ $2157962$ $24973$ $2157962^{2} \, - \, $$7467$$ \, \cdot \, 24973^{2} = 1$
$7469$ $18418144808799$ $213115311640$ $18418144808799^{2} \, - \, $$7469$$ \, \cdot \, 213115311640^{2} = 1$
$7471$ $37983444151040$ $439445451513$ $37983444151040^{2} \, - \, $$7471$$ \, \cdot \, 439445451513^{2} = 1$
$7473$ $997247$ $11536$ $997247^{2} \, - \, $$7473$$ \, \cdot \, 11536^{2} = 1$
$7474$ $10035027861883229210668950048430051$ $116075893638000516247971962790930$ $10035027861883229210668950048430051^{2} \, - \, $$7474$$ \, \cdot \, 116075893638000516247971962790930^{2} = 1$
$7477$ $453405366490236620525274863003283944613070102011786222792217029862773055358399997419046979849$ $5243520446106498955144784436348166773569607626693278521142962671359178635212176709254615580$ $453405366490236620525274863003283944613070102011786222792217029862773055358399997419046979849^{2} \, - \, $$7477$$ \, \cdot \, 5243520446106498955144784436348166773569607626693278521142962671359178635212176709254615580^{2} = 1$
$7478$ $1736582590983518593242814892826744637157$ $20081803470075313161806760496505008254$ $1736582590983518593242814892826744637157^{2} \, - \, $$7478$$ \, \cdot \, 20081803470075313161806760496505008254^{2} = 1$
$7481$ $29264969999910533961249$ $338351616637447316200$ $29264969999910533961249^{2} \, - \, $$7481$$ \, \cdot \, 338351616637447316200^{2} = 1$
$7482$ $173$ $2$ $173^{2} \, - \, $$7482$$ \, \cdot \, 2^{2} = 1$
$7483$ $427814612503965446956812062$ $4945585810870588800743589$ $427814612503965446956812062^{2} \, - \, $$7483$$ \, \cdot \, 4945585810870588800743589^{2} = 1$
$7485$ $290811420678237159544831$ $3361364086691475152064$ $290811420678237159544831^{2} \, - \, $$7485$$ \, \cdot \, 3361364086691475152064^{2} = 1$
$7486$ $1134514129983747966413749$ $13112484802612422021150$ $1134514129983747966413749^{2} \, - \, $$7486$$ \, \cdot \, 13112484802612422021150^{2} = 1$
$7487$ $31935910318811282485536439246848$ $369084140040857176622251957087$ $31935910318811282485536439246848^{2} \, - \, $$7487$$ \, \cdot \, 369084140040857176622251957087^{2} = 1$
$7489$ $30720941491820131491880866440304540420368703958786566637182084896090195785690678712710136253360336769343057600726601473022192901249$ $354995302213868514825832916932669700646260100378755084108605929488590628698170361303351793548619683545173162134794277524967717200$ $30720941491820131491880866440304540420368703958786566637182084896090195785690678712710136253360336769343057600726601473022192901249^{2} \, - \, $$7489$$ \, \cdot \, 354995302213868514825832916932669700646260100378755084108605929488590628698170361303351793548619683545173162134794277524967717200^{2} = 1$
$7490$ $129471$ $1496$ $129471^{2} \, - \, $$7490$$ \, \cdot \, 1496^{2} = 1$
$7491$ $59336210$ $685567$ $59336210^{2} \, - \, $$7491$$ \, \cdot \, 685567^{2} = 1$
$7493$ $6771789925558441399$ $78230410775764020$ $6771789925558441399^{2} \, - \, $$7493$$ \, \cdot \, 78230410775764020^{2} = 1$
$7494$ $481481951045$ $5561899886$ $481481951045^{2} \, - \, $$7494$$ \, \cdot \, 5561899886^{2} = 1$
$7495$ $7166262956273863169140670759$ $82776473695892315146041972$ $7166262956273863169140670759^{2} \, - \, $$7495$$ \, \cdot \, 82776473695892315146041972^{2} = 1$
$7498$ $152023394049504630649916498351$ $1755649051700118149819308980$ $152023394049504630649916498351^{2} \, - \, $$7498$$ \, \cdot \, 1755649051700118149819308980^{2} = 1$
$7499$ $760354187158599613051122466560405497530$ $8780399272174309104106332501424602051$ $760354187158599613051122466560405497530^{2} \, - \, $$7499$$ \, \cdot \, 8780399272174309104106332501424602051^{2} = 1$
$7501$ $117960336957219881642508035589514343840064721007668241272610313364689192760201$ $1361997849088851387506771037765877179714686681091929152273060321975314139020$ $117960336957219881642508035589514343840064721007668241272610313364689192760201^{2} \, - \, $$7501$$ \, \cdot \, 1361997849088851387506771037765877179714686681091929152273060321975314139020^{2} = 1$
$7503$ $615001$ $7100$ $615001^{2} \, - \, $$7503$$ \, \cdot \, 7100^{2} = 1$
$7505$ $2420824809$ $27943964$ $2420824809^{2} \, - \, $$7505$$ \, \cdot \, 27943964^{2} = 1$
$7507$ $489378717574845306737565667106712903382485026$ $5648223463675764596839688872171073239290345$ $489378717574845306737565667106712903382485026^{2} \, - \, $$7507$$ \, \cdot \, 5648223463675764596839688872171073239290345^{2} = 1$
$7509$ $159907028761074203170424435738935$ $1845340449702700315033708170444$ $159907028761074203170424435738935^{2} \, - \, $$7509$$ \, \cdot \, 1845340449702700315033708170444^{2} = 1$
$7510$ $13519$ $156$ $13519^{2} \, - \, $$7510$$ \, \cdot \, 156^{2} = 1$
$7511$ $260$ $3$ $260^{2} \, - \, $$7511$$ \, \cdot \, 3^{2} = 1$
$7513$ $42807167063$ $493866756$ $42807167063^{2} \, - \, $$7513$$ \, \cdot \, 493866756^{2} = 1$
$7517$ $9208520457033$ $106210531492$ $9208520457033^{2} \, - \, $$7517$$ \, \cdot \, 106210531492^{2} = 1$
$7518$ $8846341099$ $102026390$ $8846341099^{2} \, - \, $$7518$$ \, \cdot \, 102026390^{2} = 1$
$7519$ $4392026961339065172821818969760$ $50650642070072072271536412111$ $4392026961339065172821818969760^{2} \, - \, $$7519$$ \, \cdot \, 50650642070072072271536412111^{2} = 1$
$7521$ $3256795188239144855$ $37553693153277988$ $3256795188239144855^{2} \, - \, $$7521$$ \, \cdot \, 37553693153277988^{2} = 1$
$7522$ $25316870138607043$ $291906220170078$ $25316870138607043^{2} \, - \, $$7522$$ \, \cdot \, 291906220170078^{2} = 1$
$7523$ $170627948585258577945922$ $1967227734126768264561$ $170627948585258577945922^{2} \, - \, $$7523$$ \, \cdot \, 1967227734126768264561^{2} = 1$
$7526$ $168905124253445275$ $1946976539502282$ $168905124253445275^{2} \, - \, $$7526$$ \, \cdot \, 1946976539502282^{2} = 1$
$7527$ $203423141401$ $2344711420$ $203423141401^{2} \, - \, $$7527$$ \, \cdot \, 2344711420^{2} = 1$
$7529$ $62084478101639281725698720378318756275333081433087833006454871171459029124909197174049$ $715507822391874121803208211406032851927042861200634194684718420436258228701089722440$ $62084478101639281725698720378318756275333081433087833006454871171459029124909197174049^{2} \, - \, $$7529$$ \, \cdot \, 715507822391874121803208211406032851927042861200634194684718420436258228701089722440^{2} = 1$
$7530$ $1076852749$ $12409630$ $1076852749^{2} \, - \, $$7530$$ \, \cdot \, 12409630^{2} = 1$
$7531$ $1070018211497345$ $12330050222352$ $1070018211497345^{2} \, - \, $$7531$$ \, \cdot \, 12330050222352^{2} = 1$
$7534$ $179003468883697130017475722534443440365159504687644577438704927965834255$ $2062284792527294273977106659723860772956522606649656412414380782272356$ $179003468883697130017475722534443440365159504687644577438704927965834255^{2} \, - \, $$7534$$ \, \cdot \, 2062284792527294273977106659723860772956522606649656412414380782272356^{2} = 1$
$7535$ $2898919$ $33396$ $2898919^{2} \, - \, $$7535$$ \, \cdot \, 33396^{2} = 1$
$7537$ $315450795896507383173137953$ $3633560283421014770572872$ $315450795896507383173137953^{2} \, - \, $$7537$$ \, \cdot \, 3633560283421014770572872^{2} = 1$
$7538$ $371608323$ $4280134$ $371608323^{2} \, - \, $$7538$$ \, \cdot \, 4280134^{2} = 1$
$7539$ $1659426558290950$ $19111781201879$ $1659426558290950^{2} \, - \, $$7539$$ \, \cdot \, 19111781201879^{2} = 1$
$7541$ $63067779211672110697074864201$ $726261576724834524887579180$ $63067779211672110697074864201^{2} \, - \, $$7541$$ \, \cdot \, 726261576724834524887579180^{2} = 1$
$7543$ $2904475362368857974205849$ $33442261847104670966340$ $2904475362368857974205849^{2} \, - \, $$7543$$ \, \cdot \, 33442261847104670966340^{2} = 1$
$7545$ $116137142521001$ $1337031115260$ $116137142521001^{2} \, - \, $$7545$$ \, \cdot \, 1337031115260^{2} = 1$
$7547$ $5134162232314691073881146915713962$ $59099310305320302238295062421013$ $5134162232314691073881146915713962^{2} \, - \, $$7547$$ \, \cdot \, 59099310305320302238295062421013^{2} = 1$
$7549$ $22537719898595926618764683473232491196870129014962238507025572492148515554708476465337836093062595658898594763092929632533851967507531235206176504843626281801$ $259397188384101932430139053430291928066526084351997431830784813462811440154887270333284251851715886255924896693828395042444704365467269095477778410637451420$ $22537719898595926618764683473232491196870129014962238507025572492148515554708476465337836093062595658898594763092929632533851967507531235206176504843626281801^{2} \, - \, $$7549$$ \, \cdot \, 259397188384101932430139053430291928066526084351997431830784813462811440154887270333284251851715886255924896693828395042444704365467269095477778410637451420^{2} = 1$
$7553$ $23415602601$ $269429780$ $23415602601^{2} \, - \, $$7553$$ \, \cdot \, 269429780^{2} = 1$
$7554$ $15069843180346630772840705$ $173388481334231173105584$ $15069843180346630772840705^{2} \, - \, $$7554$$ \, \cdot \, 173388481334231173105584^{2} = 1$
$7555$ $202996233475958135182715480249$ $2335450922903886453884097420$ $202996233475958135182715480249^{2} \, - \, $$7555$$ \, \cdot \, 2335450922903886453884097420^{2} = 1$
$7557$ $8011029599$ $92153880$ $8011029599^{2} \, - \, $$7557$$ \, \cdot \, 92153880^{2} = 1$
$7558$ $468874982633785096549807853308997$ $5393288064294403677027493042674$ $468874982633785096549807853308997^{2} \, - \, $$7558$$ \, \cdot \, 5393288064294403677027493042674^{2} = 1$
$7559$ $148671586870624865160$ $1709998794768436669$ $148671586870624865160^{2} \, - \, $$7559$$ \, \cdot \, 1709998794768436669^{2} = 1$
$7561$ $3493081968509489937354197600318166302617086190178900897242190124337385373015447990758394131111096294415494778608956813361052050072151950244661249$ $40171602609631821659727084267476953170782827863840810298695099549303616052007360779037592148019940201799831606156582832573612202711435765492800$ $3493081968509489937354197600318166302617086190178900897242190124337385373015447990758394131111096294415494778608956813361052050072151950244661249^{2} \, - \, $$7561$$ \, \cdot \, 40171602609631821659727084267476953170782827863840810298695099549303616052007360779037592148019940201799831606156582832573612202711435765492800^{2} = 1$
$7562$ $4333676269453901$ $49835420763870$ $4333676269453901^{2} \, - \, $$7562$$ \, \cdot \, 49835420763870^{2} = 1$
$7563$ $2522$ $29$ $2522^{2} \, - \, $$7563$$ \, \cdot \, 29^{2} = 1$
$7565$ $329121$ $3784$ $329121^{2} \, - \, $$7565$$ \, \cdot \, 3784^{2} = 1$
$7566$ $5045$ $58$ $5045^{2} \, - \, $$7566$$ \, \cdot \, 58^{2} = 1$
$7567$ $7568$ $87$ $7568^{2} \, - \, $$7567$$ \, \cdot \, 87^{2} = 1$
$7570$ $15139$ $174$ $15139^{2} \, - \, $$7570$$ \, \cdot \, 174^{2} = 1$
$7571$ $7570$ $87$ $7570^{2} \, - \, $$7571$$ \, \cdot \, 87^{2} = 1$
$7573$ $216985003849$ $2493421740$ $216985003849^{2} \, - \, $$7573$$ \, \cdot \, 2493421740^{2} = 1$
$7574$ $17271026187965775$ $198452005581524$ $17271026187965775^{2} \, - \, $$7574$$ \, \cdot \, 198452005581524^{2} = 1$
$7577$ $58174162063574164460058930264280353$ $668315437148961637572207138326648$ $58174162063574164460058930264280353^{2} \, - \, $$7577$$ \, \cdot \, 668315437148961637572207138326648^{2} = 1$
$7579$ $1972306155033215$ $22655224832016$ $1972306155033215^{2} \, - \, $$7579$$ \, \cdot \, 22655224832016^{2} = 1$
$7582$ $134424847$ $1543788$ $134424847^{2} \, - \, $$7582$$ \, \cdot \, 1543788^{2} = 1$
$7583$ $1142395823703766311906905380267650528$ $13118859436017758570290252863173201$ $1142395823703766311906905380267650528^{2} \, - \, $$7583$$ \, \cdot \, 13118859436017758570290252863173201^{2} = 1$
$7585$ $177628377120769$ $2039550933504$ $177628377120769^{2} \, - \, $$7585$$ \, \cdot \, 2039550933504^{2} = 1$
$7586$ $54611715720675$ $627017123978$ $54611715720675^{2} \, - \, $$7586$$ \, \cdot \, 627017123978^{2} = 1$
$7589$ $342185148624966727281240201$ $3927976493460514495340060$ $342185148624966727281240201^{2} \, - \, $$7589$$ \, \cdot \, 3927976493460514495340060^{2} = 1$
$7590$ $143749$ $1650$ $143749^{2} \, - \, $$7590$$ \, \cdot \, 1650^{2} = 1$
$7591$ $544170809945960$ $6245766532467$ $544170809945960^{2} \, - \, $$7591$$ \, \cdot \, 6245766532467^{2} = 1$
$7593$ $21960039930255946385566235741399$ $252015020106611205172613502020$ $21960039930255946385566235741399^{2} \, - \, $$7593$$ \, \cdot \, 252015020106611205172613502020^{2} = 1$
$7594$ $805899807324193693470764197797990968179678704230791588620043699$ $9247956015904592385693085426830030528733843293405286529100270$ $805899807324193693470764197797990968179678704230791588620043699^{2} \, - \, $$7594$$ \, \cdot \, 9247956015904592385693085426830030528733843293405286529100270^{2} = 1$
$7597$ $101188233879924347157253351218909785286478338194697599$ $1160937801808547505246459031925021560982983727856720$ $101188233879924347157253351218909785286478338194697599^{2} \, - \, $$7597$$ \, \cdot \, 1160937801808547505246459031925021560982983727856720^{2} = 1$
$7598$ $523$ $6$ $523^{2} \, - \, $$7598$$ \, \cdot \, 6^{2} = 1$
$7599$ $130810958880820$ $1500603333649$ $130810958880820^{2} \, - \, $$7599$$ \, \cdot \, 1500603333649^{2} = 1$
$7601$ $254488251799$ $2918988420$ $254488251799^{2} \, - \, $$7601$$ \, \cdot \, 2918988420^{2} = 1$
$7602$ $188843453$ $2165898$ $188843453^{2} \, - \, $$7602$$ \, \cdot \, 2165898^{2} = 1$
$7603$ $13293302488805154305625156919762098059943549885718474226$ $152454550556498104788748699722419935480888535221989945$ $13293302488805154305625156919762098059943549885718474226^{2} \, - \, $$7603$$ \, \cdot \, 152454550556498104788748699722419935480888535221989945^{2} = 1$
$7606$ $2334390748271791405948956520326863437675855019094894494653973999820613679669869797120954552485$ $26766734601016983301067310174059132585825454841039608954135710874162200441677198162475742702$ $2334390748271791405948956520326863437675855019094894494653973999820613679669869797120954552485^{2} \, - \, $$7606$$ \, \cdot \, 26766734601016983301067310174059132585825454841039608954135710874162200441677198162475742702^{2} = 1$
$7607$ $9459943913391048$ $108463060166123$ $9459943913391048^{2} \, - \, $$7607$$ \, \cdot \, 108463060166123^{2} = 1$
$7609$ $19562823125921447819451628229715331227205248746910121895980138495$ $224268220096870144828265125845685810769942196151127391753164544$ $19562823125921447819451628229715331227205248746910121895980138495^{2} \, - \, $$7609$$ \, \cdot \, 224268220096870144828265125845685810769942196151127391753164544^{2} = 1$
$7610$ $4398579$ $50422$ $4398579^{2} \, - \, $$7610$$ \, \cdot \, 50422^{2} = 1$
$7611$ $559119594050$ $6408905253$ $559119594050^{2} \, - \, $$7611$$ \, \cdot \, 6408905253^{2} = 1$
$7613$ $279935017088396420145151$ $3208332073254551187840$ $279935017088396420145151^{2} \, - \, $$7613$$ \, \cdot \, 3208332073254551187840^{2} = 1$
$7615$ $205886198665688512588807009514644$ $2359349510300261793230066650617$ $205886198665688512588807009514644^{2} \, - \, $$7615$$ \, \cdot \, 2359349510300261793230066650617^{2} = 1$
$7617$ $963124589374731958298137338711562759389494167$ $11035461325968172735688294544002851776456292$ $963124589374731958298137338711562759389494167^{2} \, - \, $$7617$$ \, \cdot \, 11035461325968172735688294544002851776456292^{2} = 1$
$7618$ $39599989676182528193194723$ $453706068890985620374086$ $39599989676182528193194723^{2} \, - \, $$7618$$ \, \cdot \, 453706068890985620374086^{2} = 1$
$7619$ $6773698532690$ $77602708161$ $6773698532690^{2} \, - \, $$7619$$ \, \cdot \, 77602708161^{2} = 1$
$7621$ $968693792495497846117829554432679082759196505343835127117793159921786953190881272694226117755570277716683925325386047892302971855447363827079049$ $11096359943310765571358317767374768306802101790690655124772555136043617228583995325981841265713327118515283011982037215165731375869671443764580$ $968693792495497846117829554432679082759196505343835127117793159921786953190881272694226117755570277716683925325386047892302971855447363827079049^{2} \, - \, $$7621$$ \, \cdot \, 11096359943310765571358317767374768306802101790690655124772555136043617228583995325981841265713327118515283011982037215165731375869671443764580^{2} = 1$
$7622$ $77859763707$ $891822878$ $77859763707^{2} \, - \, $$7622$$ \, \cdot \, 891822878^{2} = 1$
$7626$ $1795786334701$ $20563936870$ $1795786334701^{2} \, - \, $$7626$$ \, \cdot \, 20563936870^{2} = 1$
$7627$ $262$ $3$ $262^{2} \, - \, $$7627$$ \, \cdot \, 3^{2} = 1$
$7629$ $29331260256691030222870227199673855$ $335812544895873830412724524213984$ $29331260256691030222870227199673855^{2} \, - \, $$7629$$ \, \cdot \, 335812544895873830412724524213984^{2} = 1$
$7630$ $67474893936491$ $772467011154$ $67474893936491^{2} \, - \, $$7630$$ \, \cdot \, 772467011154^{2} = 1$
$7631$ $29370886661013579176676$ $336222157473698573665$ $29370886661013579176676^{2} \, - \, $$7631$$ \, \cdot \, 336222157473698573665^{2} = 1$
$7633$ $1301577327385058425761729918037611649$ $14897806998637092021501855809674320$ $1301577327385058425761729918037611649^{2} \, - \, $$7633$$ \, \cdot \, 14897806998637092021501855809674320^{2} = 1$
$7634$ $538519239132333077865025$ $6163468002651600081144$ $538519239132333077865025^{2} \, - \, $$7634$$ \, \cdot \, 6163468002651600081144^{2} = 1$
$7635$ $40293562346$ $461138247$ $40293562346^{2} \, - \, $$7635$$ \, \cdot \, 461138247^{2} = 1$
$7637$ $10491246627140695417399$ $120050977666321615860$ $10491246627140695417399^{2} \, - \, $$7637$$ \, \cdot \, 120050977666321615860^{2} = 1$
$7638$ $20101$ $230$ $20101^{2} \, - \, $$7638$$ \, \cdot \, 230^{2} = 1$
$7639$ $2069478796051715411479847480$ $23677875133165781700226971$ $2069478796051715411479847480^{2} \, - \, $$7639$$ \, \cdot \, 23677875133165781700226971^{2} = 1$
$7642$ $3969241353757695889289864323471700647597843$ $45405032487458407337527754938191112787838$ $3969241353757695889289864323471700647597843^{2} \, - \, $$7642$$ \, \cdot \, 45405032487458407337527754938191112787838^{2} = 1$
$7643$ $8323226$ $95205$ $8323226^{2} \, - \, $$7643$$ \, \cdot \, 95205^{2} = 1$
$7645$ $422839$ $4836$ $422839^{2} \, - \, $$7645$$ \, \cdot \, 4836^{2} = 1$
$7646$ $26037989373892734098007609121109056149903615$ $297776416061104546511690576920091542219312$ $26037989373892734098007609121109056149903615^{2} \, - \, $$7646$$ \, \cdot \, 297776416061104546511690576920091542219312^{2} = 1$
$7647$ $439448044854028$ $5025299978633$ $439448044854028^{2} \, - \, $$7647$$ \, \cdot \, 5025299978633^{2} = 1$
$7649$ $3946132981807732509552871577943157996577120586833573212144743052719111201$ $45120030662272514002782248165624094851410411003084602217632303765970760$ $3946132981807732509552871577943157996577120586833573212144743052719111201^{2} \, - \, $$7649$$ \, \cdot \, 45120030662272514002782248165624094851410411003084602217632303765970760^{2} = 1$
$7651$ $52556889295908567274228776685945$ $600856206551802036679468736868$ $52556889295908567274228776685945^{2} \, - \, $$7651$$ \, \cdot \, 600856206551802036679468736868^{2} = 1$
$7653$ $771243937585632296337093751$ $8816087797820394544225500$ $771243937585632296337093751^{2} \, - \, $$7653$$ \, \cdot \, 8816087797820394544225500^{2} = 1$
$7654$ $764678641504706382501083666384445933125$ $8740468882506097563854387048621340834$ $764678641504706382501083666384445933125^{2} \, - \, $$7654$$ \, \cdot \, 8740468882506097563854387048621340834^{2} = 1$
$7655$ $12249$ $140$ $12249^{2} \, - \, $$7655$$ \, \cdot \, 140^{2} = 1$
$7657$ $4890386223907626088297$ $55887390998663731788$ $4890386223907626088297^{2} \, - \, $$7657$$ \, \cdot \, 55887390998663731788^{2} = 1$
$7658$ $8751$ $100$ $8751^{2} \, - \, $$7658$$ \, \cdot \, 100^{2} = 1$
$7661$ $6228784404115033395222163891629344608695$ $71164035524189223303488302993132309828$ $6228784404115033395222163891629344608695^{2} \, - \, $$7661$$ \, \cdot \, 71164035524189223303488302993132309828^{2} = 1$
$7662$ $2201548973034793547$ $25151116963350122$ $2201548973034793547^{2} \, - \, $$7662$$ \, \cdot \, 25151116963350122^{2} = 1$
$7663$ $76434160976$ $873148455$ $76434160976^{2} \, - \, $$7663$$ \, \cdot \, 873148455^{2} = 1$
$7665$ $1751$ $20$ $1751^{2} \, - \, $$7665$$ \, \cdot \, 20^{2} = 1$
$7666$ $620945$ $7092$ $620945^{2} \, - \, $$7666$$ \, \cdot \, 7092^{2} = 1$
$7667$ $24910082$ $284487$ $24910082^{2} \, - \, $$7667$$ \, \cdot \, 284487^{2} = 1$
$7669$ $2395093958408011687259859012593409719335994288709533449$ $27349739010947663160211002592723460285983780976270820$ $2395093958408011687259859012593409719335994288709533449^{2} \, - \, $$7669$$ \, \cdot \, 27349739010947663160211002592723460285983780976270820^{2} = 1$
$7670$ $212991$ $2432$ $212991^{2} \, - \, $$7670$$ \, \cdot \, 2432^{2} = 1$
$7671$ $1068053785$ $12194588$ $1068053785^{2} \, - \, $$7671$$ \, \cdot \, 12194588^{2} = 1$
$7673$ $368380012808142849$ $4205459544759040$ $368380012808142849^{2} \, - \, $$7673$$ \, \cdot \, 4205459544759040^{2} = 1$
$7674$ $63949$ $730$ $63949^{2} \, - \, $$7674$$ \, \cdot \, 730^{2} = 1$
$7678$ $1430829831462283$ $16329163303314$ $1430829831462283^{2} \, - \, $$7678$$ \, \cdot \, 16329163303314^{2} = 1$
$7679$ $2027765636141242320$ $23140110321816959$ $2027765636141242320^{2} \, - \, $$7679$$ \, \cdot \, 23140110321816959^{2} = 1$
$7681$ $3133264647276076482088606018088811754918949728283528198807294251847710707018037760018585037149992256628605872223185644639498097386739575861462049$ $35751000160575334860653406384210051330246187979987995179600107931574644522725190979723209767260615510535392994036658308975626199578061295652920$ $3133264647276076482088606018088811754918949728283528198807294251847710707018037760018585037149992256628605872223185644639498097386739575861462049^{2} \, - \, $$7681$$ \, \cdot \, 35751000160575334860653406384210051330246187979987995179600107931574644522725190979723209767260615510535392994036658308975626199578061295652920^{2} = 1$
$7682$ $2220099$ $25330$ $2220099^{2} \, - \, $$7682$$ \, \cdot \, 25330^{2} = 1$
$7683$ $37682292974$ $429904415$ $37682292974^{2} \, - \, $$7683$$ \, \cdot \, 429904415^{2} = 1$
$7685$ $9095329$ $103752$ $9095329^{2} \, - \, $$7685$$ \, \cdot \, 103752^{2} = 1$
$7687$ $30756869719281099556490075975256057075980306540308804802996024$ $350803318098133382816233099132365550200185239886665505286915$ $30756869719281099556490075975256057075980306540308804802996024^{2} \, - \, $$7687$$ \, \cdot \, 350803318098133382816233099132365550200185239886665505286915^{2} = 1$
$7689$ $12567813864152379425$ $143325943542462696$ $12567813864152379425^{2} \, - \, $$7689$$ \, \cdot \, 143325943542462696^{2} = 1$
$7690$ $259921$ $2964$ $259921^{2} \, - \, $$7690$$ \, \cdot \, 2964^{2} = 1$
$7691$ $359364753973101946690$ $4097736933712985133$ $359364753973101946690^{2} \, - \, $$7691$$ \, \cdot \, 4097736933712985133^{2} = 1$
$7694$ $7021418841615$ $80047687364$ $7021418841615^{2} \, - \, $$7694$$ \, \cdot \, 80047687364^{2} = 1$
$7697$ $3626499929819312024853368599$ $41335855477164544158497820$ $3626499929819312024853368599^{2} \, - \, $$7697$$ \, \cdot \, 41335855477164544158497820^{2} = 1$
$7698$ $3391676757514817$ $38656764530184$ $3391676757514817^{2} \, - \, $$7698$$ \, \cdot \, 38656764530184^{2} = 1$
$7699$ $69680163813095388163533978361341455330266311365711178795023881010$ $794130732199257446165696169516577128806066432911916458193733801$ $69680163813095388163533978361341455330266311365711178795023881010^{2} \, - \, $$7699$$ \, \cdot \, 794130732199257446165696169516577128806066432911916458193733801^{2} = 1$
$7701$ $33838737928086914471542215799$ $385603169741180811798017220$ $33838737928086914471542215799^{2} \, - \, $$7701$$ \, \cdot \, 385603169741180811798017220^{2} = 1$
$7702$ $2736043780470626318405852224503760550127209982917$ $31176064067512196772207578093687324838488076138$ $2736043780470626318405852224503760550127209982917^{2} \, - \, $$7702$$ \, \cdot \, 31176064067512196772207578093687324838488076138^{2} = 1$
$7703$ $75855852672897743208$ $864289318191372539$ $75855852672897743208^{2} \, - \, $$7703$$ \, \cdot \, 864289318191372539^{2} = 1$
$7705$ $249641$ $2844$ $249641^{2} \, - \, $$7705$$ \, \cdot \, 2844^{2} = 1$
$7706$ $268590951949987936352974974464713299$ $3059686118239756525957843969093330$ $268590951949987936352974974464713299^{2} \, - \, $$7706$$ \, \cdot \, 3059686118239756525957843969093330^{2} = 1$
$7707$ $1854817$ $21128$ $1854817^{2} \, - \, $$7707$$ \, \cdot \, 21128^{2} = 1$
$7709$ $3579073742629449$ $40763514813980$ $3579073742629449^{2} \, - \, $$7709$$ \, \cdot \, 40763514813980^{2} = 1$
$7710$ $46202431$ $526184$ $46202431^{2} \, - \, $$7710$$ \, \cdot \, 526184^{2} = 1$
$7711$ $5866510126060$ $66807385047$ $5866510126060^{2} \, - \, $$7711$$ \, \cdot \, 66807385047^{2} = 1$
$7714$ $19740820183925415805$ $224763287326467054$ $19740820183925415805^{2} \, - \, $$7714$$ \, \cdot \, 224763287326467054^{2} = 1$
$7715$ $2097877669164246$ $23884282259489$ $2097877669164246^{2} \, - \, $$7715$$ \, \cdot \, 23884282259489^{2} = 1$
$7717$ $127711654189444224656713$ $1453805407896123603252$ $127711654189444224656713^{2} \, - \, $$7717$$ \, \cdot \, 1453805407896123603252^{2} = 1$
$7718$ $907046338184101$ $10324691580570$ $907046338184101^{2} \, - \, $$7718$$ \, \cdot \, 10324691580570^{2} = 1$
$7719$ $126076$ $1435$ $126076^{2} \, - \, $$7719$$ \, \cdot \, 1435^{2} = 1$
$7721$ $1976937995775$ $22498640288$ $1976937995775^{2} \, - \, $$7721$$ \, \cdot \, 22498640288^{2} = 1$
$7723$ $1137568406441790563924261191585751753791699620072879343700474578039322$ $12944476890951800396594894904473269378665355441133184105012659179539$ $1137568406441790563924261191585751753791699620072879343700474578039322^{2} \, - \, $$7723$$ \, \cdot \, 12944476890951800396594894904473269378665355441133184105012659179539^{2} = 1$
$7726$ $1777087254632371638896015$ $20217683809473124088268$ $1777087254632371638896015^{2} \, - \, $$7726$$ \, \cdot \, 20217683809473124088268^{2} = 1$
$7727$ $711894618455250958224$ $8098605680923938055$ $711894618455250958224^{2} \, - \, $$7727$$ \, \cdot \, 8098605680923938055^{2} = 1$
$7729$ $1798527668646948949267665235384046889243727517824635543393178254551$ $20457637072568122555794146600613930097633662724658386258400407020$ $1798527668646948949267665235384046889243727517824635543393178254551^{2} \, - \, $$7729$$ \, \cdot \, 20457637072568122555794146600613930097633662724658386258400407020^{2} = 1$
$7730$ $128770981478499$ $1464631124210$ $128770981478499^{2} \, - \, $$7730$$ \, \cdot \, 1464631124210^{2} = 1$
$7733$ $1407$ $16$ $1407^{2} \, - \, $$7733$$ \, \cdot \, 16^{2} = 1$
$7734$ $51493411625386291902155159525$ $585530581312909378198764094$ $51493411625386291902155159525^{2} \, - \, $$7734$$ \, \cdot \, 585530581312909378198764094^{2} = 1$
$7735$ $672281$ $7644$ $672281^{2} \, - \, $$7735$$ \, \cdot \, 7644^{2} = 1$
$7737$ $6452002029326889652739215235011930911413399$ $73351364462651979372160828260168014897940$ $6452002029326889652739215235011930911413399^{2} \, - \, $$7737$$ \, \cdot \, 73351364462651979372160828260168014897940^{2} = 1$
$7738$ $10006598946807861038434099$ $113755428684592130765190$ $10006598946807861038434099^{2} \, - \, $$7738$$ \, \cdot \, 113755428684592130765190^{2} = 1$
$7739$ $24657777739288262179999$ $280292521372168547400$ $24657777739288262179999^{2} \, - \, $$7739$$ \, \cdot \, 280292521372168547400^{2} = 1$
$7741$ $22219954044726551319044029064054795910664496805305424008153284505431337482298964993773459014476773449$ $252548400727374957485333406022741094659172523647241376226032339753159011179958889259234384274261540$ $22219954044726551319044029064054795910664496805305424008153284505431337482298964993773459014476773449^{2} \, - \, $$7741$$ \, \cdot \, 252548400727374957485333406022741094659172523647241376226032339753159011179958889259234384274261540^{2} = 1$
$7743$ $88$ $1$ $88^{2} \, - \, $$7743$$ \, \cdot \, 1^{2} = 1$
$7745$ $15489$ $176$ $15489^{2} \, - \, $$7745$$ \, \cdot \, 176^{2} = 1$
$7746$ $7745$ $88$ $7745^{2} \, - \, $$7746$$ \, \cdot \, 88^{2} = 1$
$7747$ $31317046742657494209151$ $355806618686103571920$ $31317046742657494209151^{2} \, - \, $$7747$$ \, \cdot \, 355806618686103571920^{2} = 1$
$7751$ $5401377886993263546360$ $61351571804916219293$ $5401377886993263546360^{2} \, - \, $$7751$$ \, \cdot \, 61351571804916219293^{2} = 1$
$7753$ $176008257872051899262598619130502711073$ $1998932606924574683113800239120067576$ $176008257872051899262598619130502711073^{2} \, - \, $$7753$$ \, \cdot \, 1998932606924574683113800239120067576^{2} = 1$
$7754$ $10115027819853049172693261749299$ $114869355199916177642782178210$ $10115027819853049172693261749299^{2} \, - \, $$7754$$ \, \cdot \, 114869355199916177642782178210^{2} = 1$
$7755$ $1409$ $16$ $1409^{2} \, - \, $$7755$$ \, \cdot \, 16^{2} = 1$
$7757$ $80532034530322328649$ $914369593045938940$ $80532034530322328649^{2} \, - \, $$7757$$ \, \cdot \, 914369593045938940^{2} = 1$
$7759$ $401969627429723362885915137834215741335301239867281965946941563858548560$ $4563419179695574571520079540282143276838262380496621230766897614813431$ $401969627429723362885915137834215741335301239867281965946941563858548560^{2} \, - \, $$7759$$ \, \cdot \, 4563419179695574571520079540282143276838262380496621230766897614813431^{2} = 1$
$7761$ $11672564695$ $132497428$ $11672564695^{2} \, - \, $$7761$$ \, \cdot \, 132497428^{2} = 1$
$7762$ $512348283208963$ $5815384922058$ $512348283208963^{2} \, - \, $$7762$$ \, \cdot \, 5815384922058^{2} = 1$
$7763$ $761436304782$ $8642090039$ $761436304782^{2} \, - \, $$7763$$ \, \cdot \, 8642090039^{2} = 1$
$7765$ $1076442286185859633807231190250374668092662059821303709589018762569$ $12215746730723725861419929918224574003052608275057751443973561172$ $1076442286185859633807231190250374668092662059821303709589018762569^{2} \, - \, $$7765$$ \, \cdot \, 12215746730723725861419929918224574003052608275057751443973561172^{2} = 1$
$7766$ $705$ $8$ $705^{2} \, - \, $$7766$$ \, \cdot \, 8^{2} = 1$
$7769$ $190012829669443585$ $2155759778787264$ $190012829669443585^{2} \, - \, $$7769$$ \, \cdot \, 2155759778787264^{2} = 1$
$7770$ $161839$ $1836$ $161839^{2} \, - \, $$7770$$ \, \cdot \, 1836^{2} = 1$
$7771$ $215533416696150070497655395917969072247687186890$ $2444984774705465146837233779290777051123861563$ $215533416696150070497655395917969072247687186890^{2} \, - \, $$7771$$ \, \cdot \, 2444984774705465146837233779290777051123861563^{2} = 1$
$7773$ $39531082290710581999958399$ $448378077844454199876720$ $39531082290710581999958399^{2} \, - \, $$7773$$ \, \cdot \, 448378077844454199876720^{2} = 1$
$7777$ $964620229718695525579607849$ $10938312232675201616424780$ $964620229718695525579607849^{2} \, - \, $$7777$$ \, \cdot \, 10938312232675201616424780^{2} = 1$
$7778$ $31809542043386399043$ $360681151301729854$ $31809542043386399043^{2} \, - \, $$7778$$ \, \cdot \, 360681151301729854^{2} = 1$
$7779$ $64826$ $735$ $64826^{2} \, - \, $$7779$$ \, \cdot \, 735^{2} = 1$
$7781$ $30232089454037646693702686950259665326199$ $342728686305994915951762593781056271140$ $30232089454037646693702686950259665326199^{2} \, - \, $$7781$$ \, \cdot \, 342728686305994915951762593781056271140^{2} = 1$
$7782$ $1741059077$ $19736398$ $1741059077^{2} \, - \, $$7782$$ \, \cdot \, 19736398^{2} = 1$
$7783$ $935561729017489177$ $10604713319910204$ $935561729017489177^{2} \, - \, $$7783$$ \, \cdot \, 10604713319910204^{2} = 1$
$7786$ $403955$ $4578$ $403955^{2} \, - \, $$7786$$ \, \cdot \, 4578^{2} = 1$
$7787$ $129127536953$ $1463301372$ $129127536953^{2} \, - \, $$7787$$ \, \cdot \, 1463301372^{2} = 1$
$7789$ $495184216645174632027389066212784883479406568150329406828943364612695366775039650245297589534527254994357449750157426249$ $5610814901472156570809140530112369108914503942217837334085222773266477634497358702878552487431504001369499504819141700$ $495184216645174632027389066212784883479406568150329406828943364612695366775039650245297589534527254994357449750157426249^{2} \, - \, $$7789$$ \, \cdot \, 5610814901472156570809140530112369108914503942217837334085222773266477634497358702878552487431504001369499504819141700^{2} = 1$
$7790$ $824181$ $9338$ $824181^{2} \, - \, $$7790$$ \, \cdot \, 9338^{2} = 1$
$7793$ $26462687681366641416460419485350272121683122880513$ $299765475574930341513803687785944891283972474624$ $26462687681366641416460419485350272121683122880513^{2} \, - \, $$7793$$ \, \cdot \, 299765475574930341513803687785944891283972474624^{2} = 1$
$7795$ $2193174649377080555434797026672639$ $24840775937073807456641955630336$ $2193174649377080555434797026672639^{2} \, - \, $$7795$$ \, \cdot \, 24840775937073807456641955630336^{2} = 1$
$7797$ $6169112459357590601$ $69864880433917140$ $6169112459357590601^{2} \, - \, $$7797$$ \, \cdot \, 69864880433917140^{2} = 1$
$7798$ $569081548225728847$ $6444405934972236$ $569081548225728847^{2} \, - \, $$7798$$ \, \cdot \, 6444405934972236^{2} = 1$
$7799$ $10769243665325805585816551$ $121945490042709797635620$ $10769243665325805585816551^{2} \, - \, $$7799$$ \, \cdot \, 121945490042709797635620^{2} = 1$
$7801$ $3637836862563275807114393379316743743999032032429028173777781249$ $41187751178607773583966988287133769523381745178603287341636000$ $3637836862563275807114393379316743743999032032429028173777781249^{2} \, - \, $$7801$$ \, \cdot \, 41187751178607773583966988287133769523381745178603287341636000^{2} = 1$
$7802$ $696598959151$ $7886419020$ $696598959151^{2} \, - \, $$7802$$ \, \cdot \, 7886419020^{2} = 1$
$7805$ $1385864419841$ $15686797536$ $1385864419841^{2} \, - \, $$7805$$ \, \cdot \, 15686797536^{2} = 1$
$7806$ $2842230497276788634679782699$ $32169552651742828700913290$ $2842230497276788634679782699^{2} \, - \, $$7806$$ \, \cdot \, 32169552651742828700913290^{2} = 1$
$7807$ $378206724594625957027604953$ $4280427610212639275393988$ $378206724594625957027604953^{2} \, - \, $$7807$$ \, \cdot \, 4280427610212639275393988^{2} = 1$
$7809$ $54572539699920344194434199$ $617556154289453139625820$ $54572539699920344194434199^{2} \, - \, $$7809$$ \, \cdot \, 617556154289453139625820^{2} = 1$
$7810$ $321885349642781$ $3642299830554$ $321885349642781^{2} \, - \, $$7810$$ \, \cdot \, 3642299830554^{2} = 1$
$7811$ $1240896227491450$ $14040486146703$ $1240896227491450^{2} \, - \, $$7811$$ \, \cdot \, 14040486146703^{2} = 1$
$7813$ $10515219293702016901370236723849$ $118962319158538723123076191140$ $10515219293702016901370236723849^{2} \, - \, $$7813$$ \, \cdot \, 118962319158538723123076191140^{2} = 1$
$7814$ $10174682556398221676728317399448005417181341149969285$ $115102343218186289404206212261563741689762623616354$ $10174682556398221676728317399448005417181341149969285^{2} \, - \, $$7814$$ \, \cdot \, 115102343218186289404206212261563741689762623616354^{2} = 1$
$7815$ $90780604$ $1026901$ $90780604^{2} \, - \, $$7815$$ \, \cdot \, 1026901^{2} = 1$
$7817$ $13148193$ $148712$ $13148193^{2} \, - \, $$7817$$ \, \cdot \, 148712^{2} = 1$
$7818$ $97829576173$ $1106425914$ $97829576173^{2} \, - \, $$7818$$ \, \cdot \, 1106425914^{2} = 1$
$7819$ $15665579037446339538573335975895988735$ $177162110582581153487491611645335136$ $15665579037446339538573335975895988735^{2} \, - \, $$7819$$ \, \cdot \, 177162110582581153487491611645335136^{2} = 1$
$7822$ $84818577777909263$ $959029751340612$ $84818577777909263^{2} \, - \, $$7822$$ \, \cdot \, 959029751340612^{2} = 1$
$7823$ $785263060418688506863005079488$ $8878273164328335619442319529$ $785263060418688506863005079488^{2} \, - \, $$7823$$ \, \cdot \, 8878273164328335619442319529^{2} = 1$
$7826$ $43184119551$ $488150960$ $43184119551^{2} \, - \, $$7826$$ \, \cdot \, 488150960^{2} = 1$
$7827$ $2714179827079682$ $30678982479543$ $2714179827079682^{2} \, - \, $$7827$$ \, \cdot \, 30678982479543^{2} = 1$
$7829$ $8853775470809510101986249$ $100063423550255356133900$ $8853775470809510101986249^{2} \, - \, $$7829$$ \, \cdot \, 100063423550255356133900^{2} = 1$
$7831$ $232736691993158258060840$ $2630003007930540343227$ $232736691993158258060840^{2} \, - \, $$7831$$ \, \cdot \, 2630003007930540343227^{2} = 1$
$7833$ $20887$ $236$ $20887^{2} \, - \, $$7833$$ \, \cdot \, 236^{2} = 1$
$7834$ $1971633096301179603018222346992383986133391544417163363547940877641831699$ $22275851606006173806486708802384675618301262421760038678917328133121570$ $1971633096301179603018222346992383986133391544417163363547940877641831699^{2} \, - \, $$7834$$ \, \cdot \, 22275851606006173806486708802384675618301262421760038678917328133121570^{2} = 1$
$7835$ $20017389660681925169046$ $226145496147717559387$ $20017389660681925169046^{2} \, - \, $$7835$$ \, \cdot \, 226145496147717559387^{2} = 1$
$7837$ $6519449428008298266185571672649$ $73643767364622785404607642340$ $6519449428008298266185571672649^{2} \, - \, $$7837$$ \, \cdot \, 73643767364622785404607642340^{2} = 1$
$7838$ $464849374597071423$ $5250608308277416$ $464849374597071423^{2} \, - \, $$7838$$ \, \cdot \, 5250608308277416^{2} = 1$
$7841$ $1580188719318316053707875970708708120219135841868355329079225063974404138113484801$ $17845274394632448574483865094515534773476301419605518606244901088434776980955840$ $1580188719318316053707875970708708120219135841868355329079225063974404138113484801^{2} \, - \, $$7841$$ \, \cdot \, 17845274394632448574483865094515534773476301419605518606244901088434776980955840^{2} = 1$
$7842$ $20953506250001$ $236615552500$ $20953506250001^{2} \, - \, $$7842$$ \, \cdot \, 236615552500^{2} = 1$
$7843$ $43026767873$ $485844864$ $43026767873^{2} \, - \, $$7843$$ \, \cdot \, 485844864^{2} = 1$
$7845$ $153761$ $1736$ $153761^{2} \, - \, $$7845$$ \, \cdot \, 1736^{2} = 1$
$7846$ $1956412512309607988165$ $22086977044707536862$ $1956412512309607988165^{2} \, - \, $$7846$$ \, \cdot \, 22086977044707536862^{2} = 1$
$7847$ $1063$ $12$ $1063^{2} \, - \, $$7847$$ \, \cdot \, 12^{2} = 1$
$7849$ $23188506075509481488810639098274331135805235505874019381429229219373535$ $261737292423374664648360930639461764374592599308211307554586698417624$ $23188506075509481488810639098274331135805235505874019381429229219373535^{2} \, - \, $$7849$$ \, \cdot \, 261737292423374664648360930639461764374592599308211307554586698417624^{2} = 1$
$7851$ $1021568967480674$ $11529360079555$ $1021568967480674^{2} \, - \, $$7851$$ \, \cdot \, 11529360079555^{2} = 1$
$7853$ $42861481774771413004825414594491601663888912328648649$ $483670257888688066821517628857943481939330487007780$ $42861481774771413004825414594491601663888912328648649^{2} \, - \, $$7853$$ \, \cdot \, 483670257888688066821517628857943481939330487007780^{2} = 1$
$7854$ $573035$ $6466$ $573035^{2} \, - \, $$7854$$ \, \cdot \, 6466^{2} = 1$
$7855$ $64651294844344164031987711824379683020249$ $729464451762050924877983842046702687580$ $64651294844344164031987711824379683020249^{2} \, - \, $$7855$$ \, \cdot \, 729464451762050924877983842046702687580^{2} = 1$
$7858$ $3696796099$ $41703210$ $3696796099^{2} \, - \, $$7858$$ \, \cdot \, 41703210^{2} = 1$
$7859$ $255121136600790$ $2877814501481$ $255121136600790^{2} \, - \, $$7859$$ \, \cdot \, 2877814501481^{2} = 1$
$7861$ $20215$ $228$ $20215^{2} \, - \, $$7861$$ \, \cdot \, 228^{2} = 1$
$7862$ $70757$ $798$ $70757^{2} \, - \, $$7862$$ \, \cdot \, 798^{2} = 1$
$7863$ $4710265355251996516948$ $53119164585899274541$ $4710265355251996516948^{2} \, - \, $$7863$$ \, \cdot \, 53119164585899274541^{2} = 1$
$7867$ $8657739203391038997137560901924132359442$ $97611261242409625777832718234743370117$ $8657739203391038997137560901924132359442^{2} \, - \, $$7867$$ \, \cdot \, 97611261242409625777832718234743370117^{2} = 1$
$7869$ $34005180535$ $383341036$ $34005180535^{2} \, - \, $$7869$$ \, \cdot \, 383341036^{2} = 1$
$7870$ $4584793063211$ $51681174186$ $4584793063211^{2} \, - \, $$7870$$ \, \cdot \, 51681174186^{2} = 1$
$7871$ $948225$ $10688$ $948225^{2} \, - \, $$7871$$ \, \cdot \, 10688^{2} = 1$
$7873$ $295536673$ $3330744$ $295536673^{2} \, - \, $$7873$$ \, \cdot \, 3330744^{2} = 1$
$7874$ $852289635$ $9604826$ $852289635^{2} \, - \, $$7874$$ \, \cdot \, 9604826^{2} = 1$
$7877$ $148373337913072751433$ $1671765830092489588$ $148373337913072751433^{2} \, - \, $$7877$$ \, \cdot \, 1671765830092489588^{2} = 1$
$7878$ $169883$ $1914$ $169883^{2} \, - \, $$7878$$ \, \cdot \, 1914^{2} = 1$
$7879$ $149845324780907575013523531028760$ $1688136838459967420556494168541$ $149845324780907575013523531028760^{2} \, - \, $$7879$$ \, \cdot \, 1688136838459967420556494168541^{2} = 1$
$7881$ $3551$ $40$ $3551^{2} \, - \, $$7881$$ \, \cdot \, 40^{2} = 1$
$7882$ $25450156830164303947323838573$ $286663400057895344269363398$ $25450156830164303947323838573^{2} \, - \, $$7882$$ \, \cdot \, 286663400057895344269363398^{2} = 1$
$7883$ $135280162$ $1523661$ $135280162^{2} \, - \, $$7883$$ \, \cdot \, 1523661^{2} = 1$
$7885$ $48608119$ $547404$ $48608119^{2} \, - \, $$7885$$ \, \cdot \, 547404^{2} = 1$
$7886$ $21389942502672235782642231540425990415$ $240869178139048539081824053098985628$ $21389942502672235782642231540425990415^{2} \, - \, $$7886$$ \, \cdot \, 240869178139048539081824053098985628^{2} = 1$
$7887$ $2210273$ $24888$ $2210273^{2} \, - \, $$7887$$ \, \cdot \, 24888^{2} = 1$
$7890$ $1647054939567871$ $18542555357424$ $1647054939567871^{2} \, - \, $$7890$$ \, \cdot \, 18542555357424^{2} = 1$
$7891$ $43705$ $492$ $43705^{2} \, - \, $$7891$$ \, \cdot \, 492^{2} = 1$
$7894$ $201682942804488343741805332588799455355962020886837523937168965$ $2269972566359367778719787881675276376109634702244909615769514$ $201682942804488343741805332588799455355962020886837523937168965^{2} \, - \, $$7894$$ \, \cdot \, 2269972566359367778719787881675276376109634702244909615769514^{2} = 1$
$7895$ $13388280999$ $150677620$ $13388280999^{2} \, - \, $$7895$$ \, \cdot \, 150677620^{2} = 1$
$7897$ $19134381696541221919621249$ $215319500716369344008400$ $19134381696541221919621249^{2} \, - \, $$7897$$ \, \cdot \, 215319500716369344008400^{2} = 1$
$7898$ $6168166399$ $69406080$ $6168166399^{2} \, - \, $$7898$$ \, \cdot \, 69406080^{2} = 1$
$7899$ $54026170080701810$ $607880377570901$ $54026170080701810^{2} \, - \, $$7899$$ \, \cdot \, 607880377570901^{2} = 1$
$7901$ $809962754457836508605108462289600443354926436028306355175103486195194289489657671049$ $9112216248114487377021826746328419802091915232665131037420848917107532472265615020$ $809962754457836508605108462289600443354926436028306355175103486195194289489657671049^{2} \, - \, $$7901$$ \, \cdot \, 9112216248114487377021826746328419802091915232665131037420848917107532472265615020^{2} = 1$
$7903$ $19921430735648$ $224091062001$ $19921430735648^{2} \, - \, $$7903$$ \, \cdot \, 224091062001^{2} = 1$
$7905$ $242051487191$ $2722430604$ $242051487191^{2} \, - \, $$7905$$ \, \cdot \, 2722430604^{2} = 1$
$7906$ $63565982650848564365922305$ $714901749759896931027648$ $63565982650848564365922305^{2} \, - \, $$7906$$ \, \cdot \, 714901749759896931027648^{2} = 1$
$7907$ $273494536492653676039483950122085202$ $3075691593317086862695535811359727$ $273494536492653676039483950122085202^{2} \, - \, $$7907$$ \, \cdot \, 3075691593317086862695535811359727^{2} = 1$
$7909$ $221803439195864665093909380314598330588467644428309102379832072951$ $2494063393599420558004180997201659590426123546491517596365840260$ $221803439195864665093909380314598330588467644428309102379832072951^{2} \, - \, $$7909$$ \, \cdot \, 2494063393599420558004180997201659590426123546491517596365840260^{2} = 1$
$7910$ $85456251$ $960850$ $85456251^{2} \, - \, $$7910$$ \, \cdot \, 960850^{2} = 1$
$7913$ $870452072344413034728373824033$ $9785303060066099415779897176$ $870452072344413034728373824033^{2} \, - \, $$7913$$ \, \cdot \, 9785303060066099415779897176^{2} = 1$
$7914$ $34939208199134844969583682953701551$ $392748952769775462225865173180980$ $34939208199134844969583682953701551^{2} \, - \, $$7914$$ \, \cdot \, 392748952769775462225865173180980^{2} = 1$
$7915$ $19272613042304863330006$ $216628275306955584723$ $19272613042304863330006^{2} \, - \, $$7915$$ \, \cdot \, 216628275306955584723^{2} = 1$
$7917$ $352351$ $3960$ $352351^{2} \, - \, $$7917$$ \, \cdot \, 3960^{2} = 1$
$7918$ $143827701927544039215827238194453813$ $1616347711491983391764343411079926$ $143827701927544039215827238194453813^{2} \, - \, $$7918$$ \, \cdot \, 1616347711491983391764343411079926^{2} = 1$
$7919$ $7920$ $89$ $7920^{2} \, - \, $$7919$$ \, \cdot \, 89^{2} = 1$
$7922$ $15843$ $178$ $15843^{2} \, - \, $$7922$$ \, \cdot \, 178^{2} = 1$
$7923$ $7922$ $89$ $7922^{2} \, - \, $$7923$$ \, \cdot \, 89^{2} = 1$
$7926$ $42810862959365$ $480869185718$ $42810862959365^{2} \, - \, $$7926$$ \, \cdot \, 480869185718^{2} = 1$
$7927$ $14128343694724892635672933100663856968$ $158685345652086502197270403025674293$ $14128343694724892635672933100663856968^{2} \, - \, $$7927$$ \, \cdot \, 158685345652086502197270403025674293^{2} = 1$
$7930$ $186408584104339$ $2093289591762$ $186408584104339^{2} \, - \, $$7930$$ \, \cdot \, 2093289591762^{2} = 1$
$7931$ $465528174$ $5227355$ $465528174^{2} \, - \, $$7931$$ \, \cdot \, 5227355^{2} = 1$
$7933$ $1256921008067395513500963975992819092478934780502727839300362168183913167011759191422542694307014978217906249$ $14112022424934894476480144513060911746083146429039880901649346383379767051376858795669563686548718548209500$ $1256921008067395513500963975992819092478934780502727839300362168183913167011759191422542694307014978217906249^{2} \, - \, $$7933$$ \, \cdot \, 14112022424934894476480144513060911746083146429039880901649346383379767051376858795669563686548718548209500^{2} = 1$
$7934$ $169831603237699932517372421663113215$ $1906656293783066067340144228540544$ $169831603237699932517372421663113215^{2} \, - \, $$7934$$ \, \cdot \, 1906656293783066067340144228540544^{2} = 1$
$7937$ $30162615865412121668377557182397570849$ $338564028049537867989195204260893720$ $30162615865412121668377557182397570849^{2} \, - \, $$7937$$ \, \cdot \, 338564028049537867989195204260893720^{2} = 1$
$7939$ $5907632252399311849426$ $66302598875596231905$ $5907632252399311849426^{2} \, - \, $$7939$$ \, \cdot \, 66302598875596231905^{2} = 1$
$7941$ $535912920000207032612481798451236414775$ $6013905912741521279711012711450797908$ $535912920000207032612481798451236414775^{2} \, - \, $$7941$$ \, \cdot \, 6013905912741521279711012711450797908^{2} = 1$
$7945$ $9784677944570434154497315241$ $109774024124247395206555812$ $9784677944570434154497315241^{2} \, - \, $$7945$$ \, \cdot \, 109774024124247395206555812^{2} = 1$
$7946$ $71993166789903333545377299$ $807638469466412218759930$ $71993166789903333545377299^{2} \, - \, $$7946$$ \, \cdot \, 807638469466412218759930^{2} = 1$
$7949$ $12046941673557626045001$ $135120287048557092100$ $12046941673557626045001^{2} \, - \, $$7949$$ \, \cdot \, 135120287048557092100^{2} = 1$
$7951$ $180936547093047130240930291073539362796300678423889368089781514419040$ $2029155929490064831836816057384464952792412866924659090745946369257$ $180936547093047130240930291073539362796300678423889368089781514419040^{2} \, - \, $$7951$$ \, \cdot \, 2029155929490064831836816057384464952792412866924659090745946369257^{2} = 1$
$7953$ $253828113419352415703$ $2846257779509709844$ $253828113419352415703^{2} \, - \, $$7953$$ \, \cdot \, 2846257779509709844^{2} = 1$
$7954$ $5798465$ $65016$ $5798465^{2} \, - \, $$7954$$ \, \cdot \, 65016^{2} = 1$
$7955$ $14816466$ $166121$ $14816466^{2} \, - \, $$7955$$ \, \cdot \, 166121^{2} = 1$
$7957$ $344349646849$ $3860334720$ $344349646849^{2} \, - \, $$7957$$ \, \cdot \, 3860334720^{2} = 1$
$7958$ $46666365247$ $523120824$ $46666365247^{2} \, - \, $$7958$$ \, \cdot \, 523120824^{2} = 1$
$7959$ $18601274343385$ $208503546156$ $18601274343385^{2} \, - \, $$7959$$ \, \cdot \, 208503546156^{2} = 1$
$7961$ $1445817090322180559326860184800294999$ $16204272655332847288156799514879100$ $1445817090322180559326860184800294999^{2} \, - \, $$7961$$ \, \cdot \, 16204272655332847288156799514879100^{2} = 1$
$7962$ $1261588753455373$ $14138610231462$ $1261588753455373^{2} \, - \, $$7962$$ \, \cdot \, 14138610231462^{2} = 1$
$7963$ $29347766423054036710174821820879656962$ $328879418610683372572679240758674219$ $29347766423054036710174821820879656962^{2} \, - \, $$7963$$ \, \cdot \, 328879418610683372572679240758674219^{2} = 1$
$7966$ $36415$ $408$ $36415^{2} \, - \, $$7966$$ \, \cdot \, 408^{2} = 1$
$7967$ $7656288$ $85777$ $7656288^{2} \, - \, $$7967$$ \, \cdot \, 85777^{2} = 1$
$7969$ $91071646578894571316749481665920667007032811026259632305905564449$ $1020190500529777675151389042122196663532215834733070126055782120$ $91071646578894571316749481665920667007032811026259632305905564449^{2} \, - \, $$7969$$ \, \cdot \, 1020190500529777675151389042122196663532215834733070126055782120^{2} = 1$
$7970$ $1437868219686862659$ $16106082679237918$ $1437868219686862659^{2} \, - \, $$7970$$ \, \cdot \, 16106082679237918^{2} = 1$
$7971$ $553701154114425861770$ $6201818099882323937$ $553701154114425861770^{2} \, - \, $$7971$$ \, \cdot \, 6201818099882323937^{2} = 1$
$7973$ $2143$ $24$ $2143^{2} \, - \, $$7973$$ \, \cdot \, 24^{2} = 1$
$7977$ $163284674249515749709175753495913367$ $1828208097299518199270158386161012$ $163284674249515749709175753495913367^{2} \, - \, $$7977$$ \, \cdot \, 1828208097299518199270158386161012^{2} = 1$
$7978$ $237178590089287973524297870764162394634328883$ $2655390927392863623327632031656177670441486$ $237178590089287973524297870764162394634328883^{2} \, - \, $$7978$$ \, \cdot \, 2655390927392863623327632031656177670441486^{2} = 1$
$7979$ $326867336509955001$ $3659293899542300$ $326867336509955001^{2} \, - \, $$7979$$ \, \cdot \, 3659293899542300^{2} = 1$
$7981$ $65630878708763105161056667749812439257270025321449096256733808257388144035112556847491935$ $734648444707849348503901310170676143187777510219951988136955570262853709631635450481048$ $65630878708763105161056667749812439257270025321449096256733808257388144035112556847491935^{2} \, - \, $$7981$$ \, \cdot \, 734648444707849348503901310170676143187777510219951988136955570262853709631635450481048^{2} = 1$
$7982$ $23317280220651$ $260988895970$ $23317280220651^{2} \, - \, $$7982$$ \, \cdot \, 260988895970^{2} = 1$
$7985$ $540752635971764507994933249$ $6051474184108215972938560$ $540752635971764507994933249^{2} \, - \, $$7985$$ \, \cdot \, 6051474184108215972938560^{2} = 1$
$7989$ $238151159900342900735$ $2664443347205327296$ $238151159900342900735^{2} \, - \, $$7989$$ \, \cdot \, 2664443347205327296^{2} = 1$
$7990$ $7208727927931$ $80646448182$ $7208727927931^{2} \, - \, $$7990$$ \, \cdot \, 80646448182^{2} = 1$
$7991$ $1502024240778091666467859801$ $16802595650934716449524660$ $1502024240778091666467859801^{2} \, - \, $$7991$$ \, \cdot \, 16802595650934716449524660^{2} = 1$
$7993$ $2899741556589446670247000750882653415759495417921735466767134217625102113$ $32434289295563702418079406502564452162422664266950447384653144386897224$ $2899741556589446670247000750882653415759495417921735466767134217625102113^{2} \, - \, $$7993$$ \, \cdot \, 32434289295563702418079406502564452162422664266950447384653144386897224^{2} = 1$
$7994$ $1105455$ $12364$ $1105455^{2} \, - \, $$7994$$ \, \cdot \, 12364^{2} = 1$
$7995$ $689209$ $7708$ $689209^{2} \, - \, $$7995$$ \, \cdot \, 7708^{2} = 1$
$7997$ $4239863$ $47412$ $4239863^{2} \, - \, $$7997$$ \, \cdot \, 47412^{2} = 1$
$7998$ $46236636401$ $517005940$ $46236636401^{2} \, - \, $$7998$$ \, \cdot \, 517005940^{2} = 1$
$7999$ $2806758922220$ $31382480199$ $2806758922220^{2} \, - \, $$7999$$ \, \cdot \, 31382480199^{2} = 1$