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 |
|---|---|---|---|
| $6001$ | $427383235354625$ | $5517034109568$ | $427383235354625^{2} \, - \, $$6001$$ \, \cdot \, 5517034109568^{2} = 1$ |
| $6002$ | $224127176163$ | $2892987278$ | $224127176163^{2} \, - \, $$6002$$ \, \cdot \, 2892987278^{2} = 1$ |
| $6005$ | $9609$ | $124$ | $9609^{2} \, - \, $$6005$$ \, \cdot \, 124^{2} = 1$ |
| $6006$ | $155$ | $2$ | $155^{2} \, - \, $$6006$$ \, \cdot \, 2^{2} = 1$ |
| $6007$ | $212944959637635956041411259275470084748807993181498024$ | $2747505363507560917730595352460848591609976038952565$ | $212944959637635956041411259275470084748807993181498024^{2} \, - \, $$6007$$ \, \cdot \, 2747505363507560917730595352460848591609976038952565^{2} = 1$ |
| $6009$ | $131634010632725315892594469510599473884013975$ | $1698114661157803451688949237883146576681644$ | $131634010632725315892594469510599473884013975^{2} \, - \, $$6009$$ \, \cdot \, 1698114661157803451688949237883146576681644^{2} = 1$ |
| $6010$ | $248627192760113779$ | $3207091792733322$ | $248627192760113779^{2} \, - \, $$6010$$ \, \cdot \, 3207091792733322^{2} = 1$ |
| $6011$ | $9539196490076155387105860370$ | $123037764169347298383022053$ | $9539196490076155387105860370^{2} \, - \, $$6011$$ \, \cdot \, 123037764169347298383022053^{2} = 1$ |
| $6013$ | $40929908599$ | $527831340$ | $40929908599^{2} \, - \, $$6013$$ \, \cdot \, 527831340^{2} = 1$ |
| $6014$ | $1551$ | $20$ | $1551^{2} \, - \, $$6014$$ \, \cdot \, 20^{2} = 1$ |
| $6015$ | $342735471124$ | $4419175385$ | $342735471124^{2} \, - \, $$6015$$ \, \cdot \, 4419175385^{2} = 1$ |
| $6017$ | $38663097270385396036887$ | $498432825756361350652$ | $38663097270385396036887^{2} \, - \, $$6017$$ \, \cdot \, 498432825756361350652^{2} = 1$ |
| $6018$ | $6553601$ | $84480$ | $6553601^{2} \, - \, $$6018$$ \, \cdot \, 84480^{2} = 1$ |
| $6019$ | $44518093679954899843280092574$ | $573818290593150914888394495$ | $44518093679954899843280092574^{2} \, - \, $$6019$$ \, \cdot \, 573818290593150914888394495^{2} = 1$ |
| $6022$ | $14481399590265759857483754115040053767681416211227684896901$ | $186612255380004919276513683556553546068825842715970107230$ | $14481399590265759857483754115040053767681416211227684896901^{2} \, - \, $$6022$$ \, \cdot \, 186612255380004919276513683556553546068825842715970107230^{2} = 1$ |
| $6023$ | $691544692$ | $8910741$ | $691544692^{2} \, - \, $$6023$$ \, \cdot \, 8910741^{2} = 1$ |
| $6026$ | $33535$ | $432$ | $33535^{2} \, - \, $$6026$$ \, \cdot \, 432^{2} = 1$ |
| $6029$ | $1176661844164699446855991606809656920162182488742587760188198784503702178918159589449$ | $15154060920010939236546452898331365986461860697788147121249615892240642198148742780$ | $1176661844164699446855991606809656920162182488742587760188198784503702178918159589449^{2} \, - \, $$6029$$ \, \cdot \, 15154060920010939236546452898331365986461860697788147121249615892240642198148742780^{2} = 1$ |
| $6031$ | $26787050250659946106608240002213485498124$ | $344929412066876913873610602177035825025$ | $26787050250659946106608240002213485498124^{2} \, - \, $$6031$$ \, \cdot \, 344929412066876913873610602177035825025^{2} = 1$ |
| $6033$ | $307692245718165012682196091607$ | $3961410869554194275790454484$ | $307692245718165012682196091607^{2} \, - \, $$6033$$ \, \cdot \, 3961410869554194275790454484^{2} = 1$ |
| $6034$ | $6090617606629949$ | $78407693893830$ | $6090617606629949^{2} \, - \, $$6034$$ \, \cdot \, 78407693893830^{2} = 1$ |
| $6035$ | $22365354$ | $287897$ | $22365354^{2} \, - \, $$6035$$ \, \cdot \, 287897^{2} = 1$ |
| $6037$ | $4644734595351988965334734026985501244007860378347965024883897252680573146249$ | $59779229778801620243700643861476444073820455805708055902010680922065328900$ | $4644734595351988965334734026985501244007860378347965024883897252680573146249^{2} \, - \, $$6037$$ \, \cdot \, 59779229778801620243700643861476444073820455805708055902010680922065328900^{2} = 1$ |
| $6038$ | $4008116056727216197$ | $51581472270403446$ | $4008116056727216197^{2} \, - \, $$6038$$ \, \cdot \, 51581472270403446^{2} = 1$ |
| $6041$ | $183206264437650472890152233695$ | $2357142843621055006313324408$ | $183206264437650472890152233695^{2} \, - \, $$6041$$ \, \cdot \, 2357142843621055006313324408^{2} = 1$ |
| $6042$ | $25651$ | $330$ | $25651^{2} \, - \, $$6042$$ \, \cdot \, 330^{2} = 1$ |
| $6043$ | $36598002280524519467536831548019441595970530330795126762$ | $470794177103243661941228806348455704042512834936453851$ | $36598002280524519467536831548019441595970530330795126762^{2} \, - \, $$6043$$ \, \cdot \, 470794177103243661941228806348455704042512834936453851^{2} = 1$ |
| $6045$ | $311$ | $4$ | $311^{2} \, - \, $$6045$$ \, \cdot \, 4^{2} = 1$ |
| $6046$ | $5132193613765015388397879165456873963975883745449535$ | $66003803167785047994832804327094707667213145573912$ | $5132193613765015388397879165456873963975883745449535^{2} \, - \, $$6046$$ \, \cdot \, 66003803167785047994832804327094707667213145573912^{2} = 1$ |
| $6047$ | $64753195081968$ | $832705087697$ | $64753195081968^{2} \, - \, $$6047$$ \, \cdot \, 832705087697^{2} = 1$ |
| $6049$ | $243294493679774598512720680445363836180235698169324358151705055$ | $3128171015510663971098433869510378055844525997455385470444424$ | $243294493679774598512720680445363836180235698169324358151705055^{2} \, - \, $$6049$$ \, \cdot \, 3128171015510663971098433869510378055844525997455385470444424^{2} = 1$ |
| $6051$ | $16671765626$ | $214322625$ | $16671765626^{2} \, - \, $$6051$$ \, \cdot \, 214322625^{2} = 1$ |
| $6053$ | $1732546231640649$ | $22268937443980$ | $1732546231640649^{2} \, - \, $$6053$$ \, \cdot \, 22268937443980^{2} = 1$ |
| $6054$ | $50793643201$ | $652812040$ | $50793643201^{2} \, - \, $$6054$$ \, \cdot \, 652812040^{2} = 1$ |
| $6055$ | $432517393974464$ | $5558357855187$ | $432517393974464^{2} \, - \, $$6055$$ \, \cdot \, 5558357855187^{2} = 1$ |
| $6058$ | $467$ | $6$ | $467^{2} \, - \, $$6058$$ \, \cdot \, 6^{2} = 1$ |
| $6059$ | $4197089314646034408890$ | $53919733238089469331$ | $4197089314646034408890^{2} \, - \, $$6059$$ \, \cdot \, 53919733238089469331^{2} = 1$ |
| $6061$ | $157597811024093244767760299820449$ | $2024314747332761135364428454840$ | $157597811024093244767760299820449^{2} \, - \, $$6061$$ \, \cdot \, 2024314747332761135364428454840^{2} = 1$ |
| $6062$ | $307914009999$ | $3954772300$ | $307914009999^{2} \, - \, $$6062$$ \, \cdot \, 3954772300^{2} = 1$ |
| $6063$ | $193028$ | $2479$ | $193028^{2} \, - \, $$6063$$ \, \cdot \, 2479^{2} = 1$ |
| $6065$ | $456756237479675839825367169$ | $5865014419665459323320432$ | $456756237479675839825367169^{2} \, - \, $$6065$$ \, \cdot \, 5865014419665459323320432^{2} = 1$ |
| $6067$ | $127309075488718166993535420463236227064395992442$ | $1634452737486867684253105113355551170350915017$ | $127309075488718166993535420463236227064395992442^{2} \, - \, $$6067$$ \, \cdot \, 1634452737486867684253105113355551170350915017^{2} = 1$ |
| $6070$ | $5109545835426464619070275212078684411$ | $65582497871547156843875928512634966$ | $5109545835426464619070275212078684411^{2} \, - \, $$6070$$ \, \cdot \, 65582497871547156843875928512634966^{2} = 1$ |
| $6071$ | $935$ | $12$ | $935^{2} \, - \, $$6071$$ \, \cdot \, 12^{2} = 1$ |
| $6073$ | $200069646594908822313550224717114640121925889131069984935171772818613045765173365093650619566016513$ | $2567317401102989772057000899601442274058352047967834550491807836281253595735845161849612354685504$ | $200069646594908822313550224717114640121925889131069984935171772818613045765173365093650619566016513^{2} \, - \, $$6073$$ \, \cdot \, 2567317401102989772057000899601442274058352047967834550491807836281253595735845161849612354685504^{2} = 1$ |
| $6074$ | $46237635584585829511251$ | $593277972615762776450$ | $46237635584585829511251^{2} \, - \, $$6074$$ \, \cdot \, 593277972615762776450^{2} = 1$ |
| $6077$ | $7273774583252527786586031089151$ | $93307213466620364159205128480$ | $7273774583252527786586031089151^{2} \, - \, $$6077$$ \, \cdot \, 93307213466620364159205128480^{2} = 1$ |
| $6078$ | $2027$ | $26$ | $2027^{2} \, - \, $$6078$$ \, \cdot \, 26^{2} = 1$ |
| $6079$ | $15683834402554365557051061670634704683680$ | $201157475419668779582887925165496393759$ | $15683834402554365557051061670634704683680^{2} \, - \, $$6079$$ \, \cdot \, 201157475419668779582887925165496393759^{2} = 1$ |
| $6081$ | $4055$ | $52$ | $4055^{2} \, - \, $$6081$$ \, \cdot \, 52^{2} = 1$ |
| $6082$ | $6083$ | $78$ | $6083^{2} \, - \, $$6082$$ \, \cdot \, 78^{2} = 1$ |
| $6083$ | $78$ | $1$ | $78^{2} \, - \, $$6083$$ \, \cdot \, 1^{2} = 1$ |
| $6085$ | $12169$ | $156$ | $12169^{2} \, - \, $$6085$$ \, \cdot \, 156^{2} = 1$ |
| $6086$ | $6085$ | $78$ | $6085^{2} \, - \, $$6086$$ \, \cdot \, 78^{2} = 1$ |
| $6087$ | $4057$ | $52$ | $4057^{2} \, - \, $$6087$$ \, \cdot \, 52^{2} = 1$ |
| $6089$ | $4333728442467739605556854587584374952209506601249$ | $55537804489827590932238469896503028290000598200$ | $4333728442467739605556854587584374952209506601249^{2} \, - \, $$6089$$ \, \cdot \, 55537804489827590932238469896503028290000598200^{2} = 1$ |
| $6090$ | $2029$ | $26$ | $2029^{2} \, - \, $$6090$$ \, \cdot \, 26^{2} = 1$ |
| $6091$ | $584616962716824808350648037352058628366388060408472879488221610$ | $7490781212129546255272727658542701332416923599329414071554717$ | $584616962716824808350648037352058628366388060408472879488221610^{2} \, - \, $$6091$$ \, \cdot \, 7490781212129546255272727658542701332416923599329414071554717^{2} = 1$ |
| $6094$ | $4636969901533241220474605648381999463595$ | $59399535927059638100759617924713265314$ | $4636969901533241220474605648381999463595^{2} \, - \, $$6094$$ \, \cdot \, 59399535927059638100759617924713265314^{2} = 1$ |
| $6095$ | $1335864$ | $17111$ | $1335864^{2} \, - \, $$6095$$ \, \cdot \, 17111^{2} = 1$ |
| $6097$ | $937$ | $12$ | $937^{2} \, - \, $$6097$$ \, \cdot \, 12^{2} = 1$ |
| $6098$ | $1691924547601$ | $21666426180$ | $1691924547601^{2} \, - \, $$6098$$ \, \cdot \, 21666426180^{2} = 1$ |
| $6099$ | $8448826$ | $108185$ | $8448826^{2} \, - \, $$6099$$ \, \cdot \, 108185^{2} = 1$ |
| $6101$ | $136322765182363499527073085052218951639742148028494742852951311613259749486037449$ | $1745291100992339224175037268598346117312624883813344453779931317230746752150260$ | $136322765182363499527073085052218951639742148028494742852951311613259749486037449^{2} \, - \, $$6101$$ \, \cdot \, 1745291100992339224175037268598346117312624883813344453779931317230746752150260^{2} = 1$ |
| $6103$ | $14719270328$ | $188414619$ | $14719270328^{2} \, - \, $$6103$$ \, \cdot \, 188414619^{2} = 1$ |
| $6105$ | $3051350039$ | $39052532$ | $3051350039^{2} \, - \, $$6105$$ \, \cdot \, 39052532^{2} = 1$ |
| $6106$ | $14895447275735218328085643859262843130799$ | $190622933497020383651156507812039332420$ | $14895447275735218328085643859262843130799^{2} \, - \, $$6106$$ \, \cdot \, 190622933497020383651156507812039332420^{2} = 1$ |
| $6107$ | $1879758438$ | $24054043$ | $1879758438^{2} \, - \, $$6107$$ \, \cdot \, 24054043^{2} = 1$ |
| $6109$ | $63430525159672397614431445235362621182841529505128187217801$ | $811546192440010393759435009139775467978778738533587764780$ | $63430525159672397614431445235362621182841529505128187217801^{2} \, - \, $$6109$$ \, \cdot \, 811546192440010393759435009139775467978778738533587764780^{2} = 1$ |
| $6110$ | $469$ | $6$ | $469^{2} \, - \, $$6110$$ \, \cdot \, 6^{2} = 1$ |
| $6113$ | $1737669153$ | $22224904$ | $1737669153^{2} \, - \, $$6113$$ \, \cdot \, 22224904^{2} = 1$ |
| $6114$ | $1711679856314881425425$ | $21890708736096655596$ | $1711679856314881425425^{2} \, - \, $$6114$$ \, \cdot \, 21890708736096655596^{2} = 1$ |
| $6115$ | $99391628589911843751064846$ | $1271017634523543992547921$ | $99391628589911843751064846^{2} \, - \, $$6115$$ \, \cdot \, 1271017634523543992547921^{2} = 1$ |
| $6117$ | $542965240056254939999$ | $6942290571784470600$ | $542965240056254939999^{2} \, - \, $$6117$$ \, \cdot \, 6942290571784470600^{2} = 1$ |
| $6118$ | $2732353217$ | $34932696$ | $2732353217^{2} \, - \, $$6118$$ \, \cdot \, 34932696^{2} = 1$ |
| $6119$ | $1844554214659749285096820$ | $23580401626685749945989$ | $1844554214659749285096820^{2} \, - \, $$6119$$ \, \cdot \, 23580401626685749945989^{2} = 1$ |
| $6121$ | $409787604807633790013077490334511127747925165619294104547480126994384467055608333313661792761022637469542326049$ | $5237784523091586966979659874970181163735077190289465592191806359186428246339300139294510160437970019764189320$ | $409787604807633790013077490334511127747925165619294104547480126994384467055608333313661792761022637469542326049^{2} \, - \, $$6121$$ \, \cdot \, 5237784523091586966979659874970181163735077190289465592191806359186428246339300139294510160437970019764189320^{2} = 1$ |
| $6122$ | $2124034298266160944535684403$ | $27146563680668241784951442$ | $2124034298266160944535684403^{2} \, - \, $$6122$$ \, \cdot \, 27146563680668241784951442^{2} = 1$ |
| $6123$ | $313$ | $4$ | $313^{2} \, - \, $$6123$$ \, \cdot \, 4^{2} = 1$ |
| $6126$ | $3355083122065362228230645$ | $42866180469065661968282$ | $3355083122065362228230645^{2} \, - \, $$6126$$ \, \cdot \, 42866180469065661968282^{2} = 1$ |
| $6127$ | $5866027417279882751825730772$ | $74941114645556708866329423$ | $5866027417279882751825730772^{2} \, - \, $$6127$$ \, \cdot \, 74941114645556708866329423^{2} = 1$ |
| $6130$ | $2101976479611499591459$ | $26847114489598516194$ | $2101976479611499591459^{2} \, - \, $$6130$$ \, \cdot \, 26847114489598516194^{2} = 1$ |
| $6131$ | $49614210577604002411363130$ | $633636851803875450384873$ | $49614210577604002411363130^{2} \, - \, $$6131$$ \, \cdot \, 633636851803875450384873^{2} = 1$ |
| $6133$ | $14925388036842355543538933923849$ | $190585189622796496155121925340$ | $14925388036842355543538933923849^{2} \, - \, $$6133$$ \, \cdot \, 190585189622796496155121925340^{2} = 1$ |
| $6134$ | $72077015807655696290322017106085$ | $920290441932190156995579791694$ | $72077015807655696290322017106085^{2} \, - \, $$6134$$ \, \cdot \, 920290441932190156995579791694^{2} = 1$ |
| $6135$ | $11044$ | $141$ | $11044^{2} \, - \, $$6135$$ \, \cdot \, 141^{2} = 1$ |
| $6139$ | $8161297179501312283377727560663490105$ | $104162255528621864250418343097394404$ | $8161297179501312283377727560663490105^{2} \, - \, $$6139$$ \, \cdot \, 104162255528621864250418343097394404^{2} = 1$ |
| $6141$ | $16167915925315906726189413449$ | $206316752603451214753512540$ | $16167915925315906726189413449^{2} \, - \, $$6141$$ \, \cdot \, 206316752603451214753512540^{2} = 1$ |
| $6142$ | $10855911535790889583349$ | $138519651286016082930$ | $10855911535790889583349^{2} \, - \, $$6142$$ \, \cdot \, 138519651286016082930^{2} = 1$ |
| $6143$ | $1771432191312465554139780768$ | $22601344494970125265528319$ | $1771432191312465554139780768^{2} \, - \, $$6143$$ \, \cdot \, 22601344494970125265528319^{2} = 1$ |
| $6145$ | $55987761366799638599809$ | $714220249750092254832$ | $55987761366799638599809^{2} \, - \, $$6145$$ \, \cdot \, 714220249750092254832^{2} = 1$ |
| $6146$ | $21951$ | $280$ | $21951^{2} \, - \, $$6146$$ \, \cdot \, 280^{2} = 1$ |
| $6149$ | $35286500539575$ | $449993606924$ | $35286500539575^{2} \, - \, $$6149$$ \, \cdot \, 449993606924^{2} = 1$ |
| $6151$ | $301400$ | $3843$ | $301400^{2} \, - \, $$6151$$ \, \cdot \, 3843^{2} = 1$ |
| $6153$ | $677417$ | $8636$ | $677417^{2} \, - \, $$6153$$ \, \cdot \, 8636^{2} = 1$ |
| $6154$ | $31829669793077330814444925784611126830451$ | $405745196682030240730808673763340157390$ | $31829669793077330814444925784611126830451^{2} \, - \, $$6154$$ \, \cdot \, 405745196682030240730808673763340157390^{2} = 1$ |
| $6155$ | $2320108056249$ | $29572918300$ | $2320108056249^{2} \, - \, $$6155$$ \, \cdot \, 29572918300^{2} = 1$ |
| $6157$ | $815264351$ | $10389960$ | $815264351^{2} \, - \, $$6157$$ \, \cdot \, 10389960^{2} = 1$ |
| $6158$ | $5075004487342753030013583$ | $64672044148461439755956$ | $5075004487342753030013583^{2} \, - \, $$6158$$ \, \cdot \, 64672044148461439755956^{2} = 1$ |
| $6159$ | $89798097859458535$ | $1144226588567244$ | $89798097859458535^{2} \, - \, $$6159$$ \, \cdot \, 1144226588567244^{2} = 1$ |
| $6161$ | $733587467524977877075473328804552118049$ | $9346011238425353134293372003703982680$ | $733587467524977877075473328804552118049^{2} \, - \, $$6161$$ \, \cdot \, 9346011238425353134293372003703982680^{2} = 1$ |
| $6162$ | $157$ | $2$ | $157^{2} \, - \, $$6162$$ \, \cdot \, 2^{2} = 1$ |
| $6163$ | $83397229794190674424905673246189604754380876487122$ | $1062320448017609101225638765177440870561068218729$ | $83397229794190674424905673246189604754380876487122^{2} \, - \, $$6163$$ \, \cdot \, 1062320448017609101225638765177440870561068218729^{2} = 1$ |
| $6166$ | $379150007900894070048371385161691610015246944721752485$ | $4828467462477747542138982725534349033416424643488642$ | $379150007900894070048371385161691610015246944721752485^{2} \, - \, $$6166$$ \, \cdot \, 4828467462477747542138982725534349033416424643488642^{2} = 1$ |
| $6167$ | $486952488$ | $6200827$ | $486952488^{2} \, - \, $$6167$$ \, \cdot \, 6200827^{2} = 1$ |
| $6169$ | $20943152339520598285001518255563059994856780470319537150843945951$ | $266645750424078250373531634667657730081712979043387694532083240$ | $20943152339520598285001518255563059994856780470319537150843945951^{2} \, - \, $$6169$$ \, \cdot \, 266645750424078250373531634667657730081712979043387694532083240^{2} = 1$ |
| $6170$ | $365319295539$ | $4650825334$ | $365319295539^{2} \, - \, $$6170$$ \, \cdot \, 4650825334^{2} = 1$ |
| $6173$ | $14026348726235487216356617524788846570859849$ | $178523952596652633810963796527641144491940$ | $14026348726235487216356617524788846570859849^{2} \, - \, $$6173$$ \, \cdot \, 178523952596652633810963796527641144491940^{2} = 1$ |
| $6177$ | $6525587423$ | $83029192$ | $6525587423^{2} \, - \, $$6177$$ \, \cdot \, 83029192^{2} = 1$ |
| $6178$ | $308899$ | $3930$ | $308899^{2} \, - \, $$6178$$ \, \cdot \, 3930^{2} = 1$ |
| $6179$ | $30293545538926$ | $385381629105$ | $30293545538926^{2} \, - \, $$6179$$ \, \cdot \, 385381629105^{2} = 1$ |
| $6181$ | $2448406505723004415$ | $31142548753561248$ | $2448406505723004415^{2} \, - \, $$6181$$ \, \cdot \, 31142548753561248^{2} = 1$ |
| $6182$ | $6397409076101$ | $81365373390$ | $6397409076101^{2} \, - \, $$6182$$ \, \cdot \, 81365373390^{2} = 1$ |
| $6185$ | $16559088129$ | $210555488$ | $16559088129^{2} \, - \, $$6185$$ \, \cdot \, 210555488^{2} = 1$ |
| $6186$ | $3254645904366481171199$ | $41380790971543434960$ | $3254645904366481171199^{2} \, - \, $$6186$$ \, \cdot \, 41380790971543434960^{2} = 1$ |
| $6187$ | $46672332255537364215737$ | $593361611470807460892$ | $46672332255537364215737^{2} \, - \, $$6187$$ \, \cdot \, 593361611470807460892^{2} = 1$ |
| $6189$ | $230254182167960477557696338679978746829817962599568895$ | $2926828570592163323367101658955533509659800723993504$ | $230254182167960477557696338679978746829817962599568895^{2} \, - \, $$6189$$ \, \cdot \, 2926828570592163323367101658955533509659800723993504^{2} = 1$ |
| $6190$ | $9915583260544301650076284501$ | $126029711216583522294269010$ | $9915583260544301650076284501^{2} \, - \, $$6190$$ \, \cdot \, 126029711216583522294269010^{2} = 1$ |
| $6191$ | $17234808349025280$ | $219041324258183$ | $17234808349025280^{2} \, - \, $$6191$$ \, \cdot \, 219041324258183^{2} = 1$ |
| $6193$ | $119489548766013461836908956026006487$ | $1518376176763202272759422673186476$ | $119489548766013461836908956026006487^{2} \, - \, $$6193$$ \, \cdot \, 1518376176763202272759422673186476^{2} = 1$ |
| $6194$ | $364101214465$ | $4626329136$ | $364101214465^{2} \, - \, $$6194$$ \, \cdot \, 4626329136^{2} = 1$ |
| $6195$ | $1889$ | $24$ | $1889^{2} \, - \, $$6195$$ \, \cdot \, 24^{2} = 1$ |
| $6197$ | $338338864285373011648463943315481180498114822548469546952649$ | $4297947825236864773784575797605731414297158113422347569740$ | $338338864285373011648463943315481180498114822548469546952649^{2} \, - \, $$6197$$ \, \cdot \, 4297947825236864773784575797605731414297158113422347569740^{2} = 1$ |
| $6198$ | $749957$ | $9526$ | $749957^{2} \, - \, $$6198$$ \, \cdot \, 9526^{2} = 1$ |
| $6199$ | $1334715939069756049112164301351061316353993526339669270188099069560$ | $16952276551310688291810390609530011908356554225346673453494921301$ | $1334715939069756049112164301351061316353993526339669270188099069560^{2} \, - \, $$6199$$ \, \cdot \, 16952276551310688291810390609530011908356554225346673453494921301^{2} = 1$ |
| $6202$ | $28351$ | $360$ | $28351^{2} \, - \, $$6202$$ \, \cdot \, 360^{2} = 1$ |
| $6203$ | $3859855934738054800202$ | $49008363963119005899$ | $3859855934738054800202^{2} \, - \, $$6203$$ \, \cdot \, 49008363963119005899^{2} = 1$ |
| $6205$ | $5291735689$ | $67178028$ | $5291735689^{2} \, - \, $$6205$$ \, \cdot \, 67178028^{2} = 1$ |
| $6206$ | $6214143846571125$ | $78881546510798$ | $6214143846571125^{2} \, - \, $$6206$$ \, \cdot \, 78881546510798^{2} = 1$ |
| $6207$ | $1077326942787724$ | $13674348642745$ | $1077326942787724^{2} \, - \, $$6207$$ \, \cdot \, 13674348642745^{2} = 1$ |
| $6209$ | $49850466175$ | $632642544$ | $49850466175^{2} \, - \, $$6209$$ \, \cdot \, 632642544^{2} = 1$ |
| $6211$ | $3015307160297076162906862907034791388714328650868600535105832229059981707210$ | $38260513493169948116680394654405444777600332690259618445124304827582603953$ | $3015307160297076162906862907034791388714328650868600535105832229059981707210^{2} \, - \, $$6211$$ \, \cdot \, 38260513493169948116680394654405444777600332690259618445124304827582603953^{2} = 1$ |
| $6213$ | $15921847$ | $201996$ | $15921847^{2} \, - \, $$6213$$ \, \cdot \, 201996^{2} = 1$ |
| $6214$ | $288397076776131137430295489915$ | $3658518281701470630626009346$ | $288397076776131137430295489915^{2} \, - \, $$6214$$ \, \cdot \, 3658518281701470630626009346^{2} = 1$ |
| $6215$ | $40679$ | $516$ | $40679^{2} \, - \, $$6215$$ \, \cdot \, 516^{2} = 1$ |
| $6217$ | $624863998874290156963553658261438898971951176856621596712434424251457866869214910374949044353$ | $7924923344687204654032982671345957119921034455665669162928413888146159200785543526823814832$ | $624863998874290156963553658261438898971951176856621596712434424251457866869214910374949044353^{2} \, - \, $$6217$$ \, \cdot \, 7924923344687204654032982671345957119921034455665669162928413888146159200785543526823814832^{2} = 1$ |
| $6218$ | $298540239760358255182345534044243$ | $3785973052173069515050397173706$ | $298540239760358255182345534044243^{2} \, - \, $$6218$$ \, \cdot \, 3785973052173069515050397173706^{2} = 1$ |
| $6221$ | $9437340125001$ | $119651874500$ | $9437340125001^{2} \, - \, $$6221$$ \, \cdot \, 119651874500^{2} = 1$ |
| $6222$ | $228751$ | $2900$ | $228751^{2} \, - \, $$6222$$ \, \cdot \, 2900^{2} = 1$ |
| $6226$ | $71743590216577698156377901381185$ | $909240030403725577965040035768$ | $71743590216577698156377901381185^{2} \, - \, $$6226$$ \, \cdot \, 909240030403725577965040035768^{2} = 1$ |
| $6227$ | $57338925398$ | $726624633$ | $57338925398^{2} \, - \, $$6227$$ \, \cdot \, 726624633^{2} = 1$ |
| $6229$ | $16562267151219681608794427261830959049$ | $209850795632841182241287350908077940$ | $16562267151219681608794427261830959049^{2} \, - \, $$6229$$ \, \cdot \, 209850795632841182241287350908077940^{2} = 1$ |
| $6230$ | $100679291$ | $1275546$ | $100679291^{2} \, - \, $$6230$$ \, \cdot \, 1275546^{2} = 1$ |
| $6231$ | $216865008288025$ | $2747328601948$ | $216865008288025^{2} \, - \, $$6231$$ \, \cdot \, 2747328601948^{2} = 1$ |
| $6233$ | $703187492187007$ | $8906817910416$ | $703187492187007^{2} \, - \, $$6233$$ \, \cdot \, 8906817910416^{2} = 1$ |
| $6234$ | $37047239444778205549$ | $469215611525502110$ | $37047239444778205549^{2} \, - \, $$6234$$ \, \cdot \, 469215611525502110^{2} = 1$ |
| $6235$ | $842884282106$ | $10674553701$ | $842884282106^{2} \, - \, $$6235$$ \, \cdot \, 10674553701^{2} = 1$ |
| $6238$ | $373679757813294143$ | $4731260793382536$ | $373679757813294143^{2} \, - \, $$6238$$ \, \cdot \, 4731260793382536^{2} = 1$ |
| $6239$ | $6240$ | $79$ | $6240^{2} \, - \, $$6239$$ \, \cdot \, 79^{2} = 1$ |
| $6242$ | $12483$ | $158$ | $12483^{2} \, - \, $$6242$$ \, \cdot \, 158^{2} = 1$ |
| $6243$ | $6242$ | $79$ | $6242^{2} \, - \, $$6243$$ \, \cdot \, 79^{2} = 1$ |
| $6245$ | $121660606089$ | $1539514396$ | $121660606089^{2} \, - \, $$6245$$ \, \cdot \, 1539514396^{2} = 1$ |
| $6247$ | $472990987601268762665254328$ | $5984351751020836092151917$ | $472990987601268762665254328^{2} \, - \, $$6247$$ \, \cdot \, 5984351751020836092151917^{2} = 1$ |
| $6249$ | $9825613075160880188378315464235980879813015$ | $124295210914808012291559063589319946422924$ | $9825613075160880188378315464235980879813015^{2} \, - \, $$6249$$ \, \cdot \, 124295210914808012291559063589319946422924^{2} = 1$ |
| $6251$ | $157985799$ | $1998220$ | $157985799^{2} \, - \, $$6251$$ \, \cdot \, 1998220^{2} = 1$ |
| $6254$ | $3746403415701$ | $47373514210$ | $3746403415701^{2} \, - \, $$6254$$ \, \cdot \, 47373514210^{2} = 1$ |
| $6257$ | $4274811742808822625855887050112739699582142372002849$ | $54042311477504190725960426710501119422433583794680$ | $4274811742808822625855887050112739699582142372002849^{2} \, - \, $$6257$$ \, \cdot \, 54042311477504190725960426710501119422433583794680^{2} = 1$ |
| $6258$ | $15464413$ | $195486$ | $15464413^{2} \, - \, $$6258$$ \, \cdot \, 195486^{2} = 1$ |
| $6259$ | $14517796173821068008744161427813650$ | $183505133895319752211176084276519$ | $14517796173821068008744161427813650^{2} \, - \, $$6259$$ \, \cdot \, 183505133895319752211176084276519^{2} = 1$ |
| $6261$ | $1191956751986345380763135$ | $15063942393098505628128$ | $1191956751986345380763135^{2} \, - \, $$6261$$ \, \cdot \, 15063942393098505628128^{2} = 1$ |
| $6262$ | $44890941102353868470062264399$ | $567286147221108345450526740$ | $44890941102353868470062264399^{2} \, - \, $$6262$$ \, \cdot \, 567286147221108345450526740^{2} = 1$ |
| $6263$ | $108233539338317555156568$ | $1367636411104087212811$ | $108233539338317555156568^{2} \, - \, $$6263$$ \, \cdot \, 1367636411104087212811^{2} = 1$ |
| $6265$ | $45934935575233872692281751$ | $580340091597629090340780$ | $45934935575233872692281751^{2} \, - \, $$6265$$ \, \cdot \, 580340091597629090340780^{2} = 1$ |
| $6266$ | $409567941151251$ | $5174051649550$ | $409567941151251^{2} \, - \, $$6266$$ \, \cdot \, 5174051649550^{2} = 1$ |
| $6267$ | $33396842$ | $421867$ | $33396842^{2} \, - \, $$6267$$ \, \cdot \, 421867^{2} = 1$ |
| $6269$ | $11706326775933723130196167708436294136710656903175239633215194350466553637062047927049$ | $147850061029172425070313322277124868598392219998067126676175955076278782429035651060$ | $11706326775933723130196167708436294136710656903175239633215194350466553637062047927049^{2} \, - \, $$6269$$ \, \cdot \, 147850061029172425070313322277124868598392219998067126676175955076278782429035651060^{2} = 1$ |
| $6270$ | $4751$ | $60$ | $4751^{2} \, - \, $$6270$$ \, \cdot \, 60^{2} = 1$ |
| $6271$ | $112541601484424892497933143391522608020098227154361416284389842240$ | $1421165612812202524166316375074159976643924038940711078989749313$ | $112541601484424892497933143391522608020098227154361416284389842240^{2} \, - \, $$6271$$ \, \cdot \, 1421165612812202524166316375074159976643924038940711078989749313^{2} = 1$ |
| $6274$ | $92673524008481976451$ | $1169993423672199390$ | $92673524008481976451^{2} \, - \, $$6274$$ \, \cdot \, 1169993423672199390^{2} = 1$ |
| $6277$ | $1413359186841896568327437099229196415036298317095354565517032611849$ | $17839245484872768688629396208117996819922585654568440999003440380$ | $1413359186841896568327437099229196415036298317095354565517032611849^{2} \, - \, $$6277$$ \, \cdot \, 17839245484872768688629396208117996819922585654568440999003440380^{2} = 1$ |
| $6278$ | $253637477$ | $3201126$ | $253637477^{2} \, - \, $$6278$$ \, \cdot \, 3201126^{2} = 1$ |
| $6279$ | $560624$ | $7075$ | $560624^{2} \, - \, $$6279$$ \, \cdot \, 7075^{2} = 1$ |
| $6281$ | $36123682081348270942190135049393036951$ | $455803457043368880208418036330490380$ | $36123682081348270942190135049393036951^{2} \, - \, $$6281$$ \, \cdot \, 455803457043368880208418036330490380^{2} = 1$ |
| $6283$ | $239890624591698648666937$ | $3026423811987555400764$ | $239890624591698648666937^{2} \, - \, $$6283$$ \, \cdot \, 3026423811987555400764^{2} = 1$ |
| $6285$ | $4328398348919$ | $54597729396$ | $4328398348919^{2} \, - \, $$6285$$ \, \cdot \, 54597729396^{2} = 1$ |
| $6286$ | $152176931429797135$ | $1919382956919972$ | $152176931429797135^{2} \, - \, $$6286$$ \, \cdot \, 1919382956919972^{2} = 1$ |
| $6287$ | $65933798103564121729904928$ | $831546162624805078518697$ | $65933798103564121729904928^{2} \, - \, $$6287$$ \, \cdot \, 831546162624805078518697^{2} = 1$ |
| $6289$ | $1109118954184074199$ | $13985800527625620$ | $1109118954184074199^{2} \, - \, $$6289$$ \, \cdot \, 13985800527625620^{2} = 1$ |
| $6290$ | $3331$ | $42$ | $3331^{2} \, - \, $$6290$$ \, \cdot \, 42^{2} = 1$ |
| $6293$ | $16183$ | $204$ | $16183^{2} \, - \, $$6293$$ \, \cdot \, 204^{2} = 1$ |
| $6294$ | $56645$ | $714$ | $56645^{2} \, - \, $$6294$$ \, \cdot \, 714^{2} = 1$ |
| $6295$ | $70427183529913071748860084925997159$ | $887651422825520745400622769458172$ | $70427183529913071748860084925997159^{2} \, - \, $$6295$$ \, \cdot \, 887651422825520745400622769458172^{2} = 1$ |
| $6297$ | $5356961766988548881976326916423383$ | $67507449489205038535285979185252$ | $5356961766988548881976326916423383^{2} \, - \, $$6297$$ \, \cdot \, 67507449489205038535285979185252^{2} = 1$ |
| $6298$ | $763026050144692493$ | $9614750903254374$ | $763026050144692493^{2} \, - \, $$6298$$ \, \cdot \, 9614750903254374^{2} = 1$ |
| $6299$ | $600135910999715084435810$ | $7561601928784324456149$ | $600135910999715084435810^{2} \, - \, $$6299$$ \, \cdot \, 7561601928784324456149^{2} = 1$ |
| $6301$ | $1365272745009446927557458948503207868718482202717192507811330581145572975975879788390509993060830389454180014161550958739476599661930128781996135795071049$ | $17199454804113458168592297442312289224970920080330035660760971429039483788439975598754482457410034954405370544036281057745774928145705446461253610938980$ | $1365272745009446927557458948503207868718482202717192507811330581145572975975879788390509993060830389454180014161550958739476599661930128781996135795071049^{2} \, - \, $$6301$$ \, \cdot \, 17199454804113458168592297442312289224970920080330035660760971429039483788439975598754482457410034954405370544036281057745774928145705446461253610938980^{2} = 1$ |
| $6302$ | $12001291346943$ | $151178064032$ | $12001291346943^{2} \, - \, $$6302$$ \, \cdot \, 151178064032^{2} = 1$ |
| $6303$ | $606233$ | $7636$ | $606233^{2} \, - \, $$6303$$ \, \cdot \, 7636^{2} = 1$ |
| $6305$ | $304374745089$ | $3833240512$ | $304374745089^{2} \, - \, $$6305$$ \, \cdot \, 3833240512^{2} = 1$ |
| $6306$ | $210243575892860274716026385$ | $2647559636214075166463252$ | $210243575892860274716026385^{2} \, - \, $$6306$$ \, \cdot \, 2647559636214075166463252^{2} = 1$ |
| $6307$ | $953$ | $12$ | $953^{2} \, - \, $$6307$$ \, \cdot \, 12^{2} = 1$ |
| $6310$ | $5908269125184319$ | $74378187308664$ | $5908269125184319^{2} \, - \, $$6310$$ \, \cdot \, 74378187308664^{2} = 1$ |
| $6311$ | $82564850280$ | $1039312397$ | $82564850280^{2} \, - \, $$6311$$ \, \cdot \, 1039312397^{2} = 1$ |
| $6313$ | $9844771614761757056678204534213399$ | $123904691548810719036504711606420$ | $9844771614761757056678204534213399^{2} \, - \, $$6313$$ \, \cdot \, 123904691548810719036504711606420^{2} = 1$ |
| $6314$ | $636010451$ | $8004090$ | $636010451^{2} \, - \, $$6314$$ \, \cdot \, 8004090^{2} = 1$ |
| $6315$ | $29455235779231$ | $370660089288$ | $29455235779231^{2} \, - \, $$6315$$ \, \cdot \, 370660089288^{2} = 1$ |
| $6317$ | $733694091024293679329400906499623906050432649$ | $9231230238437832449665213697202859843142540$ | $733694091024293679329400906499623906050432649^{2} \, - \, $$6317$$ \, \cdot \, 9231230238437832449665213697202859843142540^{2} = 1$ |
| $6319$ | $3771010135919600$ | $47438781141561$ | $3771010135919600^{2} \, - \, $$6319$$ \, \cdot \, 47438781141561^{2} = 1$ |
| $6322$ | $13851214192279777524428899$ | $174204993389031105113010$ | $13851214192279777524428899^{2} \, - \, $$6322$$ \, \cdot \, 174204993389031105113010^{2} = 1$ |
| $6323$ | $124690875122089482654124162$ | $1568097570908373581908071$ | $124690875122089482654124162^{2} \, - \, $$6323$$ \, \cdot \, 1568097570908373581908071^{2} = 1$ |
| $6326$ | $17658995441827407449639133370085$ | $222024755598109904161152471618$ | $17658995441827407449639133370085^{2} \, - \, $$6326$$ \, \cdot \, 222024755598109904161152471618^{2} = 1$ |
| $6329$ | $1170511134567946914191432695067275680823089994490209838505637180852408449$ | $14713229236825410272123575672299440165062300830979631212775517541427920$ | $1170511134567946914191432695067275680823089994490209838505637180852408449^{2} \, - \, $$6329$$ \, \cdot \, 14713229236825410272123575672299440165062300830979631212775517541427920^{2} = 1$ |
| $6330$ | $30356251391$ | $381545456$ | $30356251391^{2} \, - \, $$6330$$ \, \cdot \, 381545456^{2} = 1$ |
| $6331$ | $88493456821056144325658502326$ | $1112179801532414600640185205$ | $88493456821056144325658502326^{2} \, - \, $$6331$$ \, \cdot \, 1112179801532414600640185205^{2} = 1$ |
| $6333$ | $23771826404069628059999$ | $298715532935801909400$ | $23771826404069628059999^{2} \, - \, $$6333$$ \, \cdot \, 298715532935801909400^{2} = 1$ |
| $6334$ | $208766438037333847204415$ | $2623141098337361893656$ | $208766438037333847204415^{2} \, - \, $$6334$$ \, \cdot \, 2623141098337361893656^{2} = 1$ |
| $6335$ | $659744$ | $8289$ | $659744^{2} \, - \, $$6335$$ \, \cdot \, 8289^{2} = 1$ |
| $6337$ | $10373513214885473537827697375508638567884961475760360286498185826458134211604800554707836512644846113$ | $130311880181220510314657472693956917526090067809703698480978019413113823266401026214976228581430392$ | $10373513214885473537827697375508638567884961475760360286498185826458134211604800554707836512644846113^{2} \, - \, $$6337$$ \, \cdot \, 130311880181220510314657472693956917526090067809703698480978019413113823266401026214976228581430392^{2} = 1$ |
| $6338$ | $2459961603$ | $30899554$ | $2459961603^{2} \, - \, $$6338$$ \, \cdot \, 30899554^{2} = 1$ |
| $6339$ | $1844452543826$ | $23166323135$ | $1844452543826^{2} \, - \, $$6339$$ \, \cdot \, 23166323135^{2} = 1$ |
| $6341$ | $1220780144328705$ | $15330579809792$ | $1220780144328705^{2} \, - \, $$6341$$ \, \cdot \, 15330579809792^{2} = 1$ |
| $6342$ | $255793$ | $3212$ | $255793^{2} \, - \, $$6342$$ \, \cdot \, 3212^{2} = 1$ |
| $6343$ | $1396016383417394854726447162396726630363619864878347974648$ | $17528435683410380348972762107292536348519602300489570339$ | $1396016383417394854726447162396726630363619864878347974648^{2} \, - \, $$6343$$ \, \cdot \, 17528435683410380348972762107292536348519602300489570339^{2} = 1$ |
| $6346$ | $4101223354119971268626729989295$ | $51482945689583708866213225812$ | $4101223354119971268626729989295^{2} \, - \, $$6346$$ \, \cdot \, 51482945689583708866213225812^{2} = 1$ |
| $6347$ | $57122$ | $717$ | $57122^{2} \, - \, $$6347$$ \, \cdot \, 717^{2} = 1$ |
| $6349$ | $167490193753986720226545766462973891604516202274539647428095$ | $2102019407349025940916668430137246227745961336092938538976$ | $167490193753986720226545766462973891604516202274539647428095^{2} \, - \, $$6349$$ \, \cdot \, 2102019407349025940916668430137246227745961336092938538976^{2} = 1$ |
| $6351$ | $6797522350324$ | $85296181215$ | $6797522350324^{2} \, - \, $$6351$$ \, \cdot \, 85296181215^{2} = 1$ |
| $6353$ | $5743303703850560997119301179364749060406026548353$ | $72056365814177310646438222467935064744172491344$ | $5743303703850560997119301179364749060406026548353^{2} \, - \, $$6353$$ \, \cdot \, 72056365814177310646438222467935064744172491344^{2} = 1$ |
| $6355$ | $20089$ | $252$ | $20089^{2} \, - \, $$6355$$ \, \cdot \, 252^{2} = 1$ |
| $6357$ | $2864887$ | $35932$ | $2864887^{2} \, - \, $$6357$$ \, \cdot \, 35932^{2} = 1$ |
| $6359$ | $4850406910922858764905758102280$ | $60825230239377270251385250331$ | $4850406910922858764905758102280^{2} \, - \, $$6359$$ \, \cdot \, 60825230239377270251385250331^{2} = 1$ |
| $6361$ | $21596554434618440553885559745076613709898920973215729879379783757047726507932521197692917392820707146754678697159201$ | $270783233843551486733104655164047189602456606552359198561692907814310247270956258654757613275174442966788332324120$ | $21596554434618440553885559745076613709898920973215729879379783757047726507932521197692917392820707146754678697159201^{2} \, - \, $$6361$$ \, \cdot \, 270783233843551486733104655164047189602456606552359198561692907814310247270956258654757613275174442966788332324120^{2} = 1$ |
| $6362$ | $503961748026610052499$ | $6318307251078005150$ | $503961748026610052499^{2} \, - \, $$6362$$ \, \cdot \, 6318307251078005150^{2} = 1$ |
| $6365$ | $293924326751$ | $3684141720$ | $293924326751^{2} \, - \, $$6365$$ \, \cdot \, 3684141720^{2} = 1$ |
| $6366$ | $4687499$ | $58750$ | $4687499^{2} \, - \, $$6366$$ \, \cdot \, 58750^{2} = 1$ |
| $6367$ | $1875041486035189566056928531182801153441054899643731758224$ | $23498679404940991142714939003349424945766856746464932495$ | $1875041486035189566056928531182801153441054899643731758224^{2} \, - \, $$6367$$ \, \cdot \, 23498679404940991142714939003349424945766856746464932495^{2} = 1$ |
| $6369$ | $33387388654946908055$ | $418356795963961636$ | $33387388654946908055^{2} \, - \, $$6369$$ \, \cdot \, 418356795963961636^{2} = 1$ |
| $6371$ | $12759233525644316491385$ | $159852997216770154788$ | $12759233525644316491385^{2} \, - \, $$6371$$ \, \cdot \, 159852997216770154788^{2} = 1$ |
| $6373$ | $15136263540744479178373595957155849$ | $189603662193598784382961331875140$ | $15136263540744479178373595957155849^{2} \, - \, $$6373$$ \, \cdot \, 189603662193598784382961331875140^{2} = 1$ |
| $6374$ | $404873633296779705308205020054165020010223456768965$ | $5071231839079560838546936125007337607100294853826$ | $404873633296779705308205020054165020010223456768965^{2} \, - \, $$6374$$ \, \cdot \, 5071231839079560838546936125007337607100294853826^{2} = 1$ |
| $6377$ | $5424969760988820351$ | $67934301329341040$ | $5424969760988820351^{2} \, - \, $$6377$$ \, \cdot \, 67934301329341040^{2} = 1$ |
| $6378$ | $11060098578253$ | $138489465906$ | $11060098578253^{2} \, - \, $$6378$$ \, \cdot \, 138489465906^{2} = 1$ |
| $6379$ | $6877000875155976886353018641937568653595150953705800940795476176360799279210$ | $86103891207255516631891379959929567703531548024619028603542629979042398291$ | $6877000875155976886353018641937568653595150953705800940795476176360799279210^{2} \, - \, $$6379$$ \, \cdot \, 86103891207255516631891379959929567703531548024619028603542629979042398291^{2} = 1$ |
| $6382$ | $3874872704583871998581289584399$ | $48504165817482283773372779460$ | $3874872704583871998581289584399^{2} \, - \, $$6382$$ \, \cdot \, 48504165817482283773372779460^{2} = 1$ |
| $6383$ | $5604589223$ | $70150596$ | $5604589223^{2} \, - \, $$6383$$ \, \cdot \, 70150596^{2} = 1$ |
| $6385$ | $529512086445825082623963354687836596970813131427846043169$ | $6626671266477332485289793865579869382905203958048505416$ | $529512086445825082623963354687836596970813131427846043169^{2} \, - \, $$6385$$ \, \cdot \, 6626671266477332485289793865579869382905203958048505416^{2} = 1$ |
| $6386$ | $108848751$ | $1362100$ | $108848751^{2} \, - \, $$6386$$ \, \cdot \, 1362100^{2} = 1$ |
| $6387$ | $6388706152922$ | $79940057303$ | $6388706152922^{2} \, - \, $$6387$$ \, \cdot \, 79940057303^{2} = 1$ |
| $6389$ | $2872978736895979441362494429027423537201943797621719808788752201$ | $35943136127687085652727046359517726409772310098411069021363860$ | $2872978736895979441362494429027423537201943797621719808788752201^{2} \, - \, $$6389$$ \, \cdot \, 35943136127687085652727046359517726409772310098411069021363860^{2} = 1$ |
| $6391$ | $24647700351361625$ | $308313113316108$ | $24647700351361625^{2} \, - \, $$6391$$ \, \cdot \, 308313113316108^{2} = 1$ |
| $6393$ | $501292163192169863427862941355104151$ | $6269581655411983747869183588535340$ | $501292163192169863427862941355104151^{2} \, - \, $$6393$$ \, \cdot \, 6269581655411983747869183588535340^{2} = 1$ |
| $6394$ | $2262958379007254949988503161855$ | $28300248589733567152181538336$ | $2262958379007254949988503161855^{2} \, - \, $$6394$$ \, \cdot \, 28300248589733567152181538336^{2} = 1$ |
| $6395$ | $2559$ | $32$ | $2559^{2} \, - \, $$6395$$ \, \cdot \, 32^{2} = 1$ |
| $6397$ | $98605153309745820085493393198089884434022263748681438288452269027849$ | $1232853400256776471207667560788615381031479070588911395847566077620$ | $98605153309745820085493393198089884434022263748681438288452269027849^{2} \, - \, $$6397$$ \, \cdot \, 1232853400256776471207667560788615381031479070588911395847566077620^{2} = 1$ |
| $6398$ | $6399$ | $80$ | $6399^{2} \, - \, $$6398$$ \, \cdot \, 80^{2} = 1$ |
| $6401$ | $12801$ | $160$ | $12801^{2} \, - \, $$6401$$ \, \cdot \, 160^{2} = 1$ |
| $6402$ | $6401$ | $80$ | $6401^{2} \, - \, $$6402$$ \, \cdot \, 80^{2} = 1$ |
| $6403$ | $414222390080434322$ | $5176566760316319$ | $414222390080434322^{2} \, - \, $$6403$$ \, \cdot \, 5176566760316319^{2} = 1$ |
| $6405$ | $2561$ | $32$ | $2561^{2} \, - \, $$6405$$ \, \cdot \, 32^{2} = 1$ |
| $6406$ | $3243436387153323162359515768453078790175599238629928871409917802325729151926730085$ | $40523963681450780957067245597505420404778411441401803053299663181749478347659098$ | $3243436387153323162359515768453078790175599238629928871409917802325729151926730085^{2} \, - \, $$6406$$ \, \cdot \, 40523963681450780957067245597505420404778411441401803053299663181749478347659098^{2} = 1$ |
| $6407$ | $11307577422788$ | $141267483243$ | $11307577422788^{2} \, - \, $$6407$$ \, \cdot \, 141267483243^{2} = 1$ |
| $6409$ | $3140286322002049$ | $39226007927760$ | $3140286322002049^{2} \, - \, $$6409$$ \, \cdot \, 39226007927760^{2} = 1$ |
| $6410$ | $1281$ | $16$ | $1281^{2} \, - \, $$6410$$ \, \cdot \, 16^{2} = 1$ |
| $6411$ | $761131015$ | $9505972$ | $761131015^{2} \, - \, $$6411$$ \, \cdot \, 9505972^{2} = 1$ |
| $6414$ | $295766645$ | $3693046$ | $295766645^{2} \, - \, $$6414$$ \, \cdot \, 3693046^{2} = 1$ |
| $6415$ | $143408454349204$ | $1790508655041$ | $143408454349204^{2} \, - \, $$6415$$ \, \cdot \, 1790508655041^{2} = 1$ |
| $6418$ | $4889355802256671525424899$ | $61031182688614061748330$ | $4889355802256671525424899^{2} \, - \, $$6418$$ \, \cdot \, 61031182688614061748330^{2} = 1$ |
| $6421$ | $5930894419944911102388697757168145802298229065847673539133287267509865688477491455520830580550974913884096875044026577802617295150001370336201$ | $74014849085489237431597430900109463949424629976257652517136444236603904742059963981280259007976048861175643882104936919982001862765184997620$ | $5930894419944911102388697757168145802298229065847673539133287267509865688477491455520830580550974913884096875044026577802617295150001370336201^{2} \, - \, $$6421$$ \, \cdot \, 74014849085489237431597430900109463949424629976257652517136444236603904742059963981280259007976048861175643882104936919982001862765184997620^{2} = 1$ |
| $6423$ | $104908$ | $1309$ | $104908^{2} \, - \, $$6423$$ \, \cdot \, 1309^{2} = 1$ |
| $6427$ | $4374434656399576562$ | $54565455335738997$ | $4374434656399576562^{2} \, - \, $$6427$$ \, \cdot \, 54565455335738997^{2} = 1$ |
| $6429$ | $2948454452744411569490145621228838898258935$ | $36772462213946821316201833258587013629684$ | $2948454452744411569490145621228838898258935^{2} \, - \, $$6429$$ \, \cdot \, 36772462213946821316201833258587013629684^{2} = 1$ |
| $6430$ | $269345505815897132582580491$ | $3358955474891718583459266$ | $269345505815897132582580491^{2} \, - \, $$6430$$ \, \cdot \, 3358955474891718583459266^{2} = 1$ |
| $6431$ | $80273115387900$ | $1000992591977$ | $80273115387900^{2} \, - \, $$6431$$ \, \cdot \, 1000992591977^{2} = 1$ |
| $6433$ | $3240037591821601881463426913277669712046348767$ | $40396456689999037778544068466185226149358456$ | $3240037591821601881463426913277669712046348767^{2} \, - \, $$6433$$ \, \cdot \, 40396456689999037778544068466185226149358456^{2} = 1$ |
| $6434$ | $622302915$ | $7758206$ | $622302915^{2} \, - \, $$6434$$ \, \cdot \, 7758206^{2} = 1$ |
| $6437$ | $643692205444746249$ | $8022994521896900$ | $643692205444746249^{2} \, - \, $$6437$$ \, \cdot \, 8022994521896900^{2} = 1$ |
| $6438$ | $14209999$ | $177100$ | $14209999^{2} \, - \, $$6438$$ \, \cdot \, 177100^{2} = 1$ |
| $6439$ | $363636753186849406110358323018564680$ | $4531672944758193635905806398935629$ | $363636753186849406110358323018564680^{2} \, - \, $$6439$$ \, \cdot \, 4531672944758193635905806398935629^{2} = 1$ |
| $6441$ | $37068792583199141236865$ | $461882800845128738992$ | $37068792583199141236865^{2} \, - \, $$6441$$ \, \cdot \, 461882800845128738992^{2} = 1$ |
| $6442$ | $189942134669151160217665381071128071080093005066628709843$ | $2366524223835124980649732622900899698141436281621639738$ | $189942134669151160217665381071128071080093005066628709843^{2} \, - \, $$6442$$ \, \cdot \, 2366524223835124980649732622900899698141436281621639738^{2} = 1$ |
| $6443$ | $10830682$ | $134931$ | $10830682^{2} \, - \, $$6443$$ \, \cdot \, 134931^{2} = 1$ |
| $6445$ | $135829574019840163241339209$ | $1691931896393683764057732$ | $135829574019840163241339209^{2} \, - \, $$6445$$ \, \cdot \, 1691931896393683764057732^{2} = 1$ |
| $6446$ | $3383221945355$ | $42139108038$ | $3383221945355^{2} \, - \, $$6446$$ \, \cdot \, 42139108038^{2} = 1$ |
| $6447$ | $88724$ | $1105$ | $88724^{2} \, - \, $$6447$$ \, \cdot \, 1105^{2} = 1$ |
| $6449$ | $7801659890622009949781577839328683030301252065153549184378859853610686042690049$ | $97149557113488229727690448905944564391648067965242839664331988467588104358240$ | $7801659890622009949781577839328683030301252065153549184378859853610686042690049^{2} \, - \, $$6449$$ \, \cdot \, 97149557113488229727690448905944564391648067965242839664331988467588104358240^{2} = 1$ |
| $6451$ | $7543624715507517624573852947949528651116652767102775595750419511195355811150621742250$ | $93921831705941541109206830911426266704741403553615475788181936869640055142084907607$ | $7543624715507517624573852947949528651116652767102775595750419511195355811150621742250^{2} \, - \, $$6451$$ \, \cdot \, 93921831705941541109206830911426266704741403553615475788181936869640055142084907607^{2} = 1$ |
| $6454$ | $22855745404342008219953051$ | $284499108053850947160030$ | $22855745404342008219953051^{2} \, - \, $$6454$$ \, \cdot \, 284499108053850947160030^{2} = 1$ |
| $6455$ | $12206824740249$ | $151933865020$ | $12206824740249^{2} \, - \, $$6455$$ \, \cdot \, 151933865020^{2} = 1$ |
| $6457$ | $18000991229258736230684507207760561044183$ | $224017025875880787326054340212533550628$ | $18000991229258736230684507207760561044183^{2} \, - \, $$6457$$ \, \cdot \, 224017025875880787326054340212533550628^{2} = 1$ |
| $6458$ | $70032510796299457776978897470015283$ | $871466458824590281783615720698106$ | $70032510796299457776978897470015283^{2} \, - \, $$6458$$ \, \cdot \, 871466458824590281783615720698106^{2} = 1$ |
| $6459$ | $224651325187130$ | $2795286599381$ | $224651325187130^{2} \, - \, $$6459$$ \, \cdot \, 2795286599381^{2} = 1$ |
| $6461$ | $7862999042483546625$ | $97822408683429728$ | $7862999042483546625^{2} \, - \, $$6461$$ \, \cdot \, 97822408683429728^{2} = 1$ |
| $6463$ | $112384536671805784928$ | $1397943057066127521$ | $112384536671805784928^{2} \, - \, $$6463$$ \, \cdot \, 1397943057066127521^{2} = 1$ |
| $6465$ | $94070362962366148319$ | $1169953376419904808$ | $94070362962366148319^{2} \, - \, $$6465$$ \, \cdot \, 1169953376419904808^{2} = 1$ |
| $6466$ | $307003668947616546909088805857699$ | $3817910255295577779155759790090$ | $307003668947616546909088805857699^{2} \, - \, $$6466$$ \, \cdot \, 3817910255295577779155759790090^{2} = 1$ |
| $6467$ | $1519841337$ | $18899348$ | $1519841337^{2} \, - \, $$6467$$ \, \cdot \, 18899348^{2} = 1$ |
| $6469$ | $26506203066877123585301052501566589449148922421871049$ | $329555789274476431823514832570950268834702393650540$ | $26506203066877123585301052501566589449148922421871049^{2} \, - \, $$6469$$ \, \cdot \, 329555789274476431823514832570950268834702393650540^{2} = 1$ |
| $6470$ | $158545872251$ | $1971073410$ | $158545872251^{2} \, - \, $$6470$$ \, \cdot \, 1971073410^{2} = 1$ |
| $6473$ | $174288375873088744880813399178094190852533211649$ | $2166285133909298100011689399804565900495575520$ | $174288375873088744880813399178094190852533211649^{2} \, - \, $$6473$$ \, \cdot \, 2166285133909298100011689399804565900495575520^{2} = 1$ |
| $6474$ | $14088751$ | $175100$ | $14088751^{2} \, - \, $$6474$$ \, \cdot \, 175100^{2} = 1$ |
| $6477$ | $27457253945924036599$ | $341169462991850220$ | $27457253945924036599^{2} \, - \, $$6477$$ \, \cdot \, 341169462991850220^{2} = 1$ |
| $6478$ | $32606742675450383$ | $405123041296764$ | $32606742675450383^{2} \, - \, $$6478$$ \, \cdot \, 405123041296764^{2} = 1$ |
| $6479$ | $9694497660$ | $120440159$ | $9694497660^{2} \, - \, $$6479$$ \, \cdot \, 120440159^{2} = 1$ |
| $6481$ | $226946111288536195201$ | $2819043223348487280$ | $226946111288536195201^{2} \, - \, $$6481$$ \, \cdot \, 2819043223348487280^{2} = 1$ |
| $6482$ | $7407$ | $92$ | $7407^{2} \, - \, $$6482$$ \, \cdot \, 92^{2} = 1$ |
| $6483$ | $4672952882$ | $58036791$ | $4672952882^{2} \, - \, $$6483$$ \, \cdot \, 58036791^{2} = 1$ |
| $6485$ | $3291486540366813129$ | $40873054400284532$ | $3291486540366813129^{2} \, - \, $$6485$$ \, \cdot \, 40873054400284532^{2} = 1$ |
| $6486$ | $2255$ | $28$ | $2255^{2} \, - \, $$6486$$ \, \cdot \, 28^{2} = 1$ |
| $6487$ | $157594743681103052$ | $1956679879713213$ | $157594743681103052^{2} \, - \, $$6487$$ \, \cdot \, 1956679879713213^{2} = 1$ |
| $6490$ | $1060843806808912081$ | $13168281347946612$ | $1060843806808912081^{2} \, - \, $$6490$$ \, \cdot \, 13168281347946612^{2} = 1$ |
| $6491$ | $2362809009037898696906507698833027781922090$ | $29327349414717086161481603215498343101317$ | $2362809009037898696906507698833027781922090^{2} \, - \, $$6491$$ \, \cdot \, 29327349414717086161481603215498343101317^{2} = 1$ |
| $6493$ | $1525623900897694012245636094160160903337870044898399$ | $18933233127155124151110353532720589109477286730680$ | $1525623900897694012245636094160160903337870044898399^{2} \, - \, $$6493$$ \, \cdot \, 18933233127155124151110353532720589109477286730680^{2} = 1$ |
| $6494$ | $10916415$ | $135464$ | $10916415^{2} \, - \, $$6494$$ \, \cdot \, 135464^{2} = 1$ |
| $6495$ | $2355193084$ | $29223817$ | $2355193084^{2} \, - \, $$6495$$ \, \cdot \, 29223817^{2} = 1$ |
| $6497$ | $410113$ | $5088$ | $410113^{2} \, - \, $$6497$$ \, \cdot \, 5088^{2} = 1$ |
| $6499$ | $208714663610$ | $2588985951$ | $208714663610^{2} \, - \, $$6499$$ \, \cdot \, 2588985951^{2} = 1$ |
| $6501$ | $3184201145326961825$ | $39492116655632568$ | $3184201145326961825^{2} \, - \, $$6501$$ \, \cdot \, 39492116655632568^{2} = 1$ |
| $6502$ | $3167461209729760197270607972501074061339117671557$ | $39281478207502838858457579671803496654931281682$ | $3167461209729760197270607972501074061339117671557^{2} \, - \, $$6502$$ \, \cdot \, 39281478207502838858457579671803496654931281682^{2} = 1$ |
| $6503$ | $20597119944024$ | $255416894995$ | $20597119944024^{2} \, - \, $$6503$$ \, \cdot \, 255416894995^{2} = 1$ |
| $6505$ | $23308463804513447417617469609$ | $288994781695522416206520924$ | $23308463804513447417617469609^{2} \, - \, $$6505$$ \, \cdot \, 288994781695522416206520924^{2} = 1$ |
| $6506$ | $5270475477990865647699$ | $65342051793392616710$ | $5270475477990865647699^{2} \, - \, $$6506$$ \, \cdot \, 65342051793392616710^{2} = 1$ |
| $6509$ | $20403912892367164795419653475502455$ | $252904364946674677371719044903156$ | $20403912892367164795419653475502455^{2} \, - \, $$6509$$ \, \cdot \, 252904364946674677371719044903156^{2} = 1$ |
| $6510$ | $223819$ | $2774$ | $223819^{2} \, - \, $$6510$$ \, \cdot \, 2774^{2} = 1$ |
| $6511$ | $47220120871929424$ | $585198557269095$ | $47220120871929424^{2} \, - \, $$6511$$ \, \cdot \, 585198557269095^{2} = 1$ |
| $6513$ | $197616037320599$ | $2448677819260$ | $197616037320599^{2} \, - \, $$6513$$ \, \cdot \, 2448677819260^{2} = 1$ |
| $6514$ | $4427292419970666283530435680190997505$ | $54854761442570843156313512708615904$ | $4427292419970666283530435680190997505^{2} \, - \, $$6514$$ \, \cdot \, 54854761442570843156313512708615904^{2} = 1$ |
| $6515$ | $63846$ | $791$ | $63846^{2} \, - \, $$6515$$ \, \cdot \, 791^{2} = 1$ |
| $6518$ | $6585050960189334069578521957$ | $81564647223122805440017794$ | $6585050960189334069578521957^{2} \, - \, $$6518$$ \, \cdot \, 81564647223122805440017794^{2} = 1$ |
| $6519$ | $108071829520$ | $1338511211$ | $108071829520^{2} \, - \, $$6519$$ \, \cdot \, 1338511211^{2} = 1$ |
| $6521$ | $83882322718282040231829086535216883670406972521814114465286527640402748967201$ | $1038755526925954405833107324271183954180256000516681962107557982706581289080$ | $83882322718282040231829086535216883670406972521814114465286527640402748967201^{2} \, - \, $$6521$$ \, \cdot \, 1038755526925954405833107324271183954180256000516681962107557982706581289080^{2} = 1$ |
| $6522$ | $1657386555853$ | $20522648858$ | $1657386555853^{2} \, - \, $$6522$$ \, \cdot \, 20522648858^{2} = 1$ |
| $6523$ | $64540551330755523242$ | $799114446066193941$ | $64540551330755523242^{2} \, - \, $$6523$$ \, \cdot \, 799114446066193941^{2} = 1$ |
| $6526$ | $1543088815733438531385128585938765023932501$ | $19101496304874661131058357280282662363050$ | $1543088815733438531385128585938765023932501^{2} \, - \, $$6526$$ \, \cdot \, 19101496304874661131058357280282662363050^{2} = 1$ |
| $6527$ | $5704505767$ | $70609188$ | $5704505767^{2} \, - \, $$6527$$ \, \cdot \, 70609188^{2} = 1$ |
| $6529$ | $407367294371971742638801649079107832394156154171997050639638193366238999165999599384095817445628793859947635201$ | $5041535437914494312051623742970224286005090438539305562773939130476960259636479870747569672343010080189822240$ | $407367294371971742638801649079107832394156154171997050639638193366238999165999599384095817445628793859947635201^{2} \, - \, $$6529$$ \, \cdot \, 5041535437914494312051623742970224286005090438539305562773939130476960259636479870747569672343010080189822240^{2} = 1$ |
| $6530$ | $16294818339$ | $201647542$ | $16294818339^{2} \, - \, $$6530$$ \, \cdot \, 201647542^{2} = 1$ |
| $6531$ | $19707449$ | $243860$ | $19707449^{2} \, - \, $$6531$$ \, \cdot \, 243860^{2} = 1$ |
| $6533$ | $782351079399257548599$ | $9679331345409493460$ | $782351079399257548599^{2} \, - \, $$6533$$ \, \cdot \, 9679331345409493460^{2} = 1$ |
| $6535$ | $23742553149574516988148014771470804$ | $293700457427711977626479277705963$ | $23742553149574516988148014771470804^{2} \, - \, $$6535$$ \, \cdot \, 293700457427711977626479277705963^{2} = 1$ |
| $6537$ | $11735542516471183551063439447$ | $145148960086988637392286428$ | $11735542516471183551063439447^{2} \, - \, $$6537$$ \, \cdot \, 145148960086988637392286428^{2} = 1$ |
| $6538$ | $40354588325795858528568013$ | $499080340973138397653694$ | $40354588325795858528568013^{2} \, - \, $$6538$$ \, \cdot \, 499080340973138397653694^{2} = 1$ |
| $6539$ | $2510543183026322105$ | $31046455662642204$ | $2510543183026322105^{2} \, - \, $$6539$$ \, \cdot \, 31046455662642204^{2} = 1$ |
| $6541$ | $975409740529790535297842506879397052156165650392336979551$ | $12060491685809057120682405026680044931032382537055655240$ | $975409740529790535297842506879397052156165650392336979551^{2} \, - \, $$6541$$ \, \cdot \, 12060491685809057120682405026680044931032382537055655240^{2} = 1$ |
| $6542$ | $371585730327592394610505743$ | $4594135053001499690630012$ | $371585730327592394610505743^{2} \, - \, $$6542$$ \, \cdot \, 4594135053001499690630012^{2} = 1$ |
| $6545$ | $7040991$ | $87032$ | $7040991^{2} \, - \, $$6545$$ \, \cdot \, 87032^{2} = 1$ |
| $6546$ | $55013743972803368272619585$ | $679959743635187584530088$ | $55013743972803368272619585^{2} \, - \, $$6546$$ \, \cdot \, 679959743635187584530088^{2} = 1$ |
| $6547$ | $5350086788713218531139788913500599108604538890626$ | $66121037085422580124862981652084915780838919625$ | $5350086788713218531139788913500599108604538890626^{2} \, - \, $$6547$$ \, \cdot \, 66121037085422580124862981652084915780838919625^{2} = 1$ |
| $6549$ | $5215837535$ | $64452024$ | $5215837535^{2} \, - \, $$6549$$ \, \cdot \, 64452024^{2} = 1$ |
| $6551$ | $1283318192231323782895320$ | $15855522239426386243643$ | $1283318192231323782895320^{2} \, - \, $$6551$$ \, \cdot \, 15855522239426386243643^{2} = 1$ |
| $6553$ | $609147963944255802929710677492087445443038799755066941016938391870273250516217114212837408251626796833$ | $7524934308438818817288474034286431840065199250225124748397632937616755759089155858708581807290631736$ | $609147963944255802929710677492087445443038799755066941016938391870273250516217114212837408251626796833^{2} \, - \, $$6553$$ \, \cdot \, 7524934308438818817288474034286431840065199250225124748397632937616755759089155858708581807290631736^{2} = 1$ |
| $6554$ | $1473297613784251251$ | $18198570143318150$ | $1473297613784251251^{2} \, - \, $$6554$$ \, \cdot \, 18198570143318150^{2} = 1$ |
| $6555$ | $2186$ | $27$ | $2186^{2} \, - \, $$6555$$ \, \cdot \, 27^{2} = 1$ |
| $6557$ | $265599$ | $3280$ | $265599^{2} \, - \, $$6557$$ \, \cdot \, 3280^{2} = 1$ |
| $6558$ | $4373$ | $54$ | $4373^{2} \, - \, $$6558$$ \, \cdot \, 54^{2} = 1$ |
| $6559$ | $6560$ | $81$ | $6560^{2} \, - \, $$6559$$ \, \cdot \, 81^{2} = 1$ |
| $6562$ | $13123$ | $162$ | $13123^{2} \, - \, $$6562$$ \, \cdot \, 162^{2} = 1$ |
| $6563$ | $6562$ | $81$ | $6562^{2} \, - \, $$6563$$ \, \cdot \, 81^{2} = 1$ |
| $6565$ | $141343937929$ | $1744455204$ | $141343937929^{2} \, - \, $$6565$$ \, \cdot \, 1744455204^{2} = 1$ |
| $6567$ | $2188$ | $27$ | $2188^{2} \, - \, $$6567$$ \, \cdot \, 27^{2} = 1$ |
| $6569$ | $43142193963922064403190034609612860773589035617500449$ | $532295256622073013348649987446124170432918054129080$ | $43142193963922064403190034609612860773589035617500449^{2} \, - \, $$6569$$ \, \cdot \, 532295256622073013348649987446124170432918054129080^{2} = 1$ |
| $6571$ | $883577433291575193890$ | $10900059830577543363$ | $883577433291575193890^{2} \, - \, $$6571$$ \, \cdot \, 10900059830577543363^{2} = 1$ |
| $6573$ | $5244535351$ | $64688220$ | $5244535351^{2} \, - \, $$6573$$ \, \cdot \, 64688220^{2} = 1$ |
| $6574$ | $12099275$ | $149226$ | $12099275^{2} \, - \, $$6574$$ \, \cdot \, 149226^{2} = 1$ |
| $6577$ | $1574053496261431511272689865949166742974958235798210216908299822073519134264598895545772220021091873$ | $19409107588075535109914998338120336437262594665584486062690606852924738496587909500627597509249608$ | $1574053496261431511272689865949166742974958235798210216908299822073519134264598895545772220021091873^{2} \, - \, $$6577$$ \, \cdot \, 19409107588075535109914998338120336437262594665584486062690606852924738496587909500627597509249608^{2} = 1$ |
| $6578$ | $206493$ | $2546$ | $206493^{2} \, - \, $$6578$$ \, \cdot \, 2546^{2} = 1$ |
| $6581$ | $883327323301396491318123448034458726587667855827501146035956870181825265500151506684419795030897801$ | $10888692138427811771555403045590282374895578568908530563366460461379698421845463649639111030151740$ | $883327323301396491318123448034458726587667855827501146035956870181825265500151506684419795030897801^{2} \, - \, $$6581$$ \, \cdot \, 10888692138427811771555403045590282374895578568908530563366460461379698421845463649639111030151740^{2} = 1$ |
| $6582$ | $745185822800346389477$ | $9185137137086102402$ | $745185822800346389477^{2} \, - \, $$6582$$ \, \cdot \, 9185137137086102402^{2} = 1$ |
| $6583$ | $23170731971099356989017$ | $285580024137398595444$ | $23170731971099356989017^{2} \, - \, $$6583$$ \, \cdot \, 285580024137398595444^{2} = 1$ |
| $6585$ | $18290255624671$ | $225393758488$ | $18290255624671^{2} \, - \, $$6585$$ \, \cdot \, 225393758488^{2} = 1$ |
| $6586$ | $26465738772698253666451$ | $326116789600386302670$ | $26465738772698253666451^{2} \, - \, $$6586$$ \, \cdot \, 326116789600386302670^{2} = 1$ |
| $6587$ | $129318473435262$ | $1593370372517$ | $129318473435262^{2} \, - \, $$6587$$ \, \cdot \, 1593370372517^{2} = 1$ |
| $6589$ | $29934140299476480612627678002865481635738288504619654798568074184951$ | $368771233578407438116333435680157385121892002354251813832772071540$ | $29934140299476480612627678002865481635738288504619654798568074184951^{2} \, - \, $$6589$$ \, \cdot \, 368771233578407438116333435680157385121892002354251813832772071540^{2} = 1$ |
| $6590$ | $3613408011883221$ | $44511711746474$ | $3613408011883221^{2} \, - \, $$6590$$ \, \cdot \, 44511711746474^{2} = 1$ |
| $6593$ | $390625607143183383$ | $4810820709408196$ | $390625607143183383^{2} \, - \, $$6593$$ \, \cdot \, 4810820709408196^{2} = 1$ |
| $6594$ | $23549$ | $290$ | $23549^{2} \, - \, $$6594$$ \, \cdot \, 290^{2} = 1$ |
| $6595$ | $177948547293392043225094247039$ | $2191225367262167265431818704$ | $177948547293392043225094247039^{2} \, - \, $$6595$$ \, \cdot \, 2191225367262167265431818704^{2} = 1$ |
| $6598$ | $21436901$ | $263910$ | $21436901^{2} \, - \, $$6598$$ \, \cdot \, 263910^{2} = 1$ |
| $6599$ | $80688169555067303160$ | $993277960673529251$ | $80688169555067303160^{2} \, - \, $$6599$$ \, \cdot \, 993277960673529251^{2} = 1$ |
| $6601$ | $17750789855$ | $218480568$ | $17750789855^{2} \, - \, $$6601$$ \, \cdot \, 218480568^{2} = 1$ |
| $6602$ | $122689201863929203623123$ | $1509970912307431297942$ | $122689201863929203623123^{2} \, - \, $$6602$$ \, \cdot \, 1509970912307431297942^{2} = 1$ |
| $6603$ | $5138202478$ | $63232531$ | $5138202478^{2} \, - \, $$6603$$ \, \cdot \, 63232531^{2} = 1$ |
| $6605$ | $48617328815778700809$ | $598211396810117524$ | $48617328815778700809^{2} \, - \, $$6605$$ \, \cdot \, 598211396810117524^{2} = 1$ |
| $6607$ | $110816445118214087841071149354669881248$ | $1363333357249975054580594646517369527$ | $110816445118214087841071149354669881248^{2} \, - \, $$6607$$ \, \cdot \, 1363333357249975054580594646517369527^{2} = 1$ |
| $6609$ | $2929262631282327213862370292425239465824237412555735$ | $36032171455370773783287644055703667884994732549356$ | $2929262631282327213862370292425239465824237412555735^{2} \, - \, $$6609$$ \, \cdot \, 36032171455370773783287644055703667884994732549356^{2} = 1$ |
| $6610$ | $2755639672739285735336891779$ | $33893912104641112605334038$ | $2755639672739285735336891779^{2} \, - \, $$6610$$ \, \cdot \, 33893912104641112605334038^{2} = 1$ |
| $6611$ | $52614321266330$ | $647098500903$ | $52614321266330^{2} \, - \, $$6611$$ \, \cdot \, 647098500903^{2} = 1$ |
| $6613$ | $4471884336101296870601$ | $54990959920588511820$ | $4471884336101296870601^{2} \, - \, $$6613$$ \, \cdot \, 54990959920588511820^{2} = 1$ |
| $6614$ | $37872874445910463909158488354230885$ | $465689207172555157536265480323954$ | $37872874445910463909158488354230885^{2} \, - \, $$6614$$ \, \cdot \, 465689207172555157536265480323954^{2} = 1$ |
| $6617$ | $8178337481081998557748187649$ | $100538976683789871920971040$ | $8178337481081998557748187649^{2} \, - \, $$6617$$ \, \cdot \, 100538976683789871920971040^{2} = 1$ |
| $6618$ | $27473173247$ | $337711184$ | $27473173247^{2} \, - \, $$6618$$ \, \cdot \, 337711184^{2} = 1$ |
| $6619$ | $8147235323415960715751514221305806423480395688388979147200576217212725410$ | $100141494861360802220654771257627297246510464160243397802397791866310411$ | $8147235323415960715751514221305806423480395688388979147200576217212725410^{2} \, - \, $$6619$$ \, \cdot \, 100141494861360802220654771257627297246510464160243397802397791866310411^{2} = 1$ |
| $6621$ | $10812503142440644816404817010808614203516415$ | $132881478843432895234466879965091377319712$ | $10812503142440644816404817010808614203516415^{2} \, - \, $$6621$$ \, \cdot \, 132881478843432895234466879965091377319712^{2} = 1$ |
| $6622$ | $121087$ | $1488$ | $121087^{2} \, - \, $$6622$$ \, \cdot \, 1488^{2} = 1$ |
| $6623$ | $4476$ | $55$ | $4476^{2} \, - \, $$6623$$ \, \cdot \, 55^{2} = 1$ |
| $6626$ | $331299$ | $4070$ | $331299^{2} \, - \, $$6626$$ \, \cdot \, 4070^{2} = 1$ |
| $6629$ | $83807802975$ | $1029343784$ | $83807802975^{2} \, - \, $$6629$$ \, \cdot \, 1029343784^{2} = 1$ |
| $6630$ | $21659$ | $266$ | $21659^{2} \, - \, $$6630$$ \, \cdot \, 266^{2} = 1$ |
| $6631$ | $34201$ | $420$ | $34201^{2} \, - \, $$6631$$ \, \cdot \, 420^{2} = 1$ |
| $6634$ | $226520072306645881450179393118651951$ | $2781115067497686041317183374520860$ | $226520072306645881450179393118651951^{2} \, - \, $$6634$$ \, \cdot \, 2781115067497686041317183374520860^{2} = 1$ |
| $6635$ | $73671591126$ | $904439635$ | $73671591126^{2} \, - \, $$6635$$ \, \cdot \, 904439635^{2} = 1$ |
| $6637$ | $4322546691734870797482597759073632649$ | $53058355390321329886667008606172340$ | $4322546691734870797482597759073632649^{2} \, - \, $$6637$$ \, \cdot \, 53058355390321329886667008606172340^{2} = 1$ |
| $6638$ | $3237582414153541105167609999$ | $39737652569090669230429100$ | $3237582414153541105167609999^{2} \, - \, $$6638$$ \, \cdot \, 39737652569090669230429100^{2} = 1$ |
| $6639$ | $1383124$ | $16975$ | $1383124^{2} \, - \, $$6639$$ \, \cdot \, 16975^{2} = 1$ |
| $6641$ | $161508298001670050000001$ | $1981883401338982690000$ | $161508298001670050000001^{2} \, - \, $$6641$$ \, \cdot \, 1981883401338982690000^{2} = 1$ |
| $6643$ | $11400775658$ | $139878921$ | $11400775658^{2} \, - \, $$6643$$ \, \cdot \, 139878921^{2} = 1$ |
| $6645$ | $583290280178412444161$ | $7155454868792370336$ | $583290280178412444161^{2} \, - \, $$6645$$ \, \cdot \, 7155454868792370336^{2} = 1$ |
| $6646$ | $1361500779904929873257722297083341292823728373326339940805$ | $16700817335725571818288482944929300553298047542525539738$ | $1361500779904929873257722297083341292823728373326339940805^{2} \, - \, $$6646$$ \, \cdot \, 16700817335725571818288482944929300553298047542525539738^{2} = 1$ |
| $6649$ | $20546845774568546889477780001$ | $251980535551602704742436200$ | $20546845774568546889477780001^{2} \, - \, $$6649$$ \, \cdot \, 251980535551602704742436200^{2} = 1$ |
| $6653$ | $1014868924011273$ | $12442315013876$ | $1014868924011273^{2} \, - \, $$6653$$ \, \cdot \, 12442315013876^{2} = 1$ |
| $6654$ | $20797637559039484043051$ | $254960326845726147530$ | $20797637559039484043051^{2} \, - \, $$6654$$ \, \cdot \, 254960326845726147530^{2} = 1$ |
| $6657$ | $372489137922943$ | $4565352694608$ | $372489137922943^{2} \, - \, $$6657$$ \, \cdot \, 4565352694608^{2} = 1$ |
| $6658$ | $7509988714902344687843$ | $92038045813317659034$ | $7509988714902344687843^{2} \, - \, $$6658$$ \, \cdot \, 92038045813317659034^{2} = 1$ |
| $6659$ | $32993167119234423318352007546184471465480050090$ | $404314670014466538342644867093019187947244881$ | $32993167119234423318352007546184471465480050090^{2} \, - \, $$6659$$ \, \cdot \, 404314670014466538342644867093019187947244881^{2} = 1$ |
| $6661$ | $63566856190962332044682633661337922961276842427615048680134746964748834401964201161754576824978007264917013315450749750255002928744201$ | $778862898206382021314398081286422031079953603764405540889642526931703629410576716177677120857420322880133521768367153292274012248380$ | $63566856190962332044682633661337922961276842427615048680134746964748834401964201161754576824978007264917013315450749750255002928744201^{2} \, - \, $$6661$$ \, \cdot \, 778862898206382021314398081286422031079953603764405540889642526931703629410576716177677120857420322880133521768367153292274012248380^{2} = 1$ |
| $6662$ | $1102778304107237$ | $13510950382842$ | $1102778304107237^{2} \, - \, $$6662$$ \, \cdot \, 13510950382842^{2} = 1$ |
| $6663$ | $2257365983257$ | $27654580164$ | $2257365983257^{2} \, - \, $$6663$$ \, \cdot \, 27654580164^{2} = 1$ |
| $6665$ | $9964666420254431$ | $122056999011912$ | $9964666420254431^{2} \, - \, $$6665$$ \, \cdot \, 122056999011912^{2} = 1$ |
| $6666$ | $13867501$ | $169850$ | $13867501^{2} \, - \, $$6666$$ \, \cdot \, 169850^{2} = 1$ |
| $6667$ | $20959226693531289602$ | $256690636826654547$ | $20959226693531289602^{2} \, - \, $$6667$$ \, \cdot \, 256690636826654547^{2} = 1$ |
| $6670$ | $24011$ | $294$ | $24011^{2} \, - \, $$6670$$ \, \cdot \, 294^{2} = 1$ |
| $6671$ | $8576$ | $105$ | $8576^{2} \, - \, $$6671$$ \, \cdot \, 105^{2} = 1$ |
| $6673$ | $311012339736088921223983275332435424738544277041368231870671067831958670913529660054430173973686766434849$ | $3807299642289740865690514118937174025178247610508304511212892179768878018973007945192442128179307525560$ | $311012339736088921223983275332435424738544277041368231870671067831958670913529660054430173973686766434849^{2} \, - \, $$6673$$ \, \cdot \, 3807299642289740865690514118937174025178247610508304511212892179768878018973007945192442128179307525560^{2} = 1$ |
| $6674$ | $10738749$ | $131450$ | $10738749^{2} \, - \, $$6674$$ \, \cdot \, 131450^{2} = 1$ |
| $6677$ | $59487$ | $728$ | $59487^{2} \, - \, $$6677$$ \, \cdot \, 728^{2} = 1$ |
| $6679$ | $2142033356329020475308925691837805010772036873625468862864267527291990271268301080$ | $26210210433181658845662170039821152139452100134519224961522370511978917023080709$ | $2142033356329020475308925691837805010772036873625468862864267527291990271268301080^{2} \, - \, $$6679$$ \, \cdot \, 26210210433181658845662170039821152139452100134519224961522370511978917023080709^{2} = 1$ |
| $6681$ | $7703585$ | $94248$ | $7703585^{2} \, - \, $$6681$$ \, \cdot \, 94248^{2} = 1$ |
| $6682$ | $373713577152499$ | $4571783338650$ | $373713577152499^{2} \, - \, $$6682$$ \, \cdot \, 4571783338650^{2} = 1$ |
| $6683$ | $327$ | $4$ | $327^{2} \, - \, $$6683$$ \, \cdot \, 4^{2} = 1$ |
| $6685$ | $2530931831$ | $30954924$ | $2530931831^{2} \, - \, $$6685$$ \, \cdot \, 30954924^{2} = 1$ |
| $6686$ | $4941366780060735$ | $60431573870072$ | $4941366780060735^{2} \, - \, $$6686$$ \, \cdot \, 60431573870072^{2} = 1$ |
| $6689$ | $461674199604357872289653204909578489771814344567491764656672663819548768261249$ | $5644883807292752491765910392356448025975555426169901713467065353754886615600$ | $461674199604357872289653204909578489771814344567491764656672663819548768261249^{2} \, - \, $$6689$$ \, \cdot \, 5644883807292752491765910392356448025975555426169901713467065353754886615600^{2} = 1$ |
| $6690$ | $2505629$ | $30634$ | $2505629^{2} \, - \, $$6690$$ \, \cdot \, 30634^{2} = 1$ |
| $6691$ | $266312513770458270300496896278630802119747382528400435143650$ | $3255712590706310144368070439064674414075007864939622124783$ | $266312513770458270300496896278630802119747382528400435143650^{2} \, - \, $$6691$$ \, \cdot \, 3255712590706310144368070439064674414075007864939622124783^{2} = 1$ |
| $6693$ | $14245572678205478399$ | $174128356208812320$ | $14245572678205478399^{2} \, - \, $$6693$$ \, \cdot \, 174128356208812320^{2} = 1$ |
| $6694$ | $124265559197810993604634186125505786629765374240155682037422377437054002611648848485$ | $1518825655494195304546263859791381399091629494171842437155101620156874198309537386$ | $124265559197810993604634186125505786629765374240155682037422377437054002611648848485^{2} \, - \, $$6694$$ \, \cdot \, 1518825655494195304546263859791381399091629494171842437155101620156874198309537386^{2} = 1$ |
| $6695$ | $148836$ | $1819$ | $148836^{2} \, - \, $$6695$$ \, \cdot \, 1819^{2} = 1$ |
| $6697$ | $2635042692348696342313$ | $32199379781445025212$ | $2635042692348696342313^{2} \, - \, $$6697$$ \, \cdot \, 32199379781445025212^{2} = 1$ |
| $6698$ | $2111330163$ | $25797854$ | $2111330163^{2} \, - \, $$6698$$ \, \cdot \, 25797854^{2} = 1$ |
| $6699$ | $2119930$ | $25901$ | $2119930^{2} \, - \, $$6699$$ \, \cdot \, 25901^{2} = 1$ |
| $6701$ | $19063350283732457544185464034667405634132000470083823817965869927049$ | $232878512828247658919885588283806441106346849158751505623003216780$ | $19063350283732457544185464034667405634132000470083823817965869927049^{2} \, - \, $$6701$$ \, \cdot \, 232878512828247658919885588283806441106346849158751505623003216780^{2} = 1$ |
| $6702$ | $517582811093$ | $6322336882$ | $517582811093^{2} \, - \, $$6702$$ \, \cdot \, 6322336882^{2} = 1$ |
| $6703$ | $157534528564756659346177068073388231862402601807568$ | $1924159848324365413234344440686375105302137595129$ | $157534528564756659346177068073388231862402601807568^{2} \, - \, $$6703$$ \, \cdot \, 1924159848324365413234344440686375105302137595129^{2} = 1$ |
| $6706$ | $27181852929610525$ | $331930594518702$ | $27181852929610525^{2} \, - \, $$6706$$ \, \cdot \, 331930594518702^{2} = 1$ |
| $6707$ | $296874$ | $3625$ | $296874^{2} \, - \, $$6707$$ \, \cdot \, 3625^{2} = 1$ |
| $6709$ | $5751747509529839167225351402675631535763498515516925761407176402642195885332206238982925523605839923428728201$ | $70221631777120167328728371084918139356143541644006390532574684715497445336668432760604867496187644001435140$ | $5751747509529839167225351402675631535763498515516925761407176402642195885332206238982925523605839923428728201^{2} \, - \, $$6709$$ \, \cdot \, 70221631777120167328728371084918139356143541644006390532574684715497445336668432760604867496187644001435140^{2} = 1$ |
| $6710$ | $269499$ | $3290$ | $269499^{2} \, - \, $$6710$$ \, \cdot \, 3290^{2} = 1$ |
| $6711$ | $1151462050260183835899076$ | $14055814264780676146605$ | $1151462050260183835899076^{2} \, - \, $$6711$$ \, \cdot \, 14055814264780676146605^{2} = 1$ |
| $6715$ | $3947600443923154$ | $48173719620549$ | $3947600443923154^{2} \, - \, $$6715$$ \, \cdot \, 48173719620549^{2} = 1$ |
| $6717$ | $7195959520856531393052736842132151$ | $87801318463139710752190919890020$ | $7195959520856531393052736842132151^{2} \, - \, $$6717$$ \, \cdot \, 87801318463139710752190919890020^{2} = 1$ |
| $6718$ | $359850602185898338227805854880268533823$ | $4390381240707307705737726637251014664$ | $359850602185898338227805854880268533823^{2} \, - \, $$6718$$ \, \cdot \, 4390381240707307705737726637251014664^{2} = 1$ |
| $6719$ | $128244476414874891145923508438800$ | $1564538837077218511692277542239$ | $128244476414874891145923508438800^{2} \, - \, $$6719$$ \, \cdot \, 1564538837077218511692277542239^{2} = 1$ |
| $6721$ | $278516736908269055216943634079785$ | $3397303532169813695883612834612$ | $278516736908269055216943634079785^{2} \, - \, $$6721$$ \, \cdot \, 3397303532169813695883612834612^{2} = 1$ |
| $6722$ | $6723$ | $82$ | $6723^{2} \, - \, $$6722$$ \, \cdot \, 82^{2} = 1$ |
| $6726$ | $6725$ | $82$ | $6725^{2} \, - \, $$6726$$ \, \cdot \, 82^{2} = 1$ |
| $6729$ | $204090679878773902425530334336824357709280535$ | $2487985862770972247243183414955438001891284$ | $204090679878773902425530334336824357709280535^{2} \, - \, $$6729$$ \, \cdot \, 2487985862770972247243183414955438001891284^{2} = 1$ |
| $6730$ | $59429167311832161122486226259$ | $724422804247067979842356086$ | $59429167311832161122486226259^{2} \, - \, $$6730$$ \, \cdot \, 724422804247067979842356086^{2} = 1$ |
| $6731$ | $375470571535963450326$ | $4576527838366915805$ | $375470571535963450326^{2} \, - \, $$6731$$ \, \cdot \, 4576527838366915805^{2} = 1$ |
| $6733$ | $159865168416950888824888819280480079084225823006254831367945640299984971493653000651780021362361143976649$ | $1948271790434144279243072831713564105254539437530681482639499114168001103721650644908649657929492249180$ | $159865168416950888824888819280480079084225823006254831367945640299984971493653000651780021362361143976649^{2} \, - \, $$6733$$ \, \cdot \, 1948271790434144279243072831713564105254539437530681482639499114168001103721650644908649657929492249180^{2} = 1$ |
| $6734$ | $142773749$ | $1739850$ | $142773749^{2} \, - \, $$6734$$ \, \cdot \, 1739850^{2} = 1$ |
| $6735$ | $5338947444604$ | $65055923423$ | $5338947444604^{2} \, - \, $$6735$$ \, \cdot \, 65055923423^{2} = 1$ |
| $6737$ | $204962523704183553997217525064392044652431772193$ | $2497130195599119483084932261922603974182718648$ | $204962523704183553997217525064392044652431772193^{2} \, - \, $$6737$$ \, \cdot \, 2497130195599119483084932261922603974182718648^{2} = 1$ |
| $6738$ | $22642408627217$ | $275839921476$ | $22642408627217^{2} \, - \, $$6738$$ \, \cdot \, 275839921476^{2} = 1$ |
| $6739$ | $547180378207331749174$ | $6665500833730603065$ | $547180378207331749174^{2} \, - \, $$6739$$ \, \cdot \, 6665500833730603065^{2} = 1$ |
| $6742$ | $52189661304565048963222769130850401577469477$ | $635609097023560747999511743279164018770178$ | $52189661304565048963222769130850401577469477^{2} \, - \, $$6742$$ \, \cdot \, 635609097023560747999511743279164018770178^{2} = 1$ |
| $6743$ | $221620360836876$ | $2698876910275$ | $221620360836876^{2} \, - \, $$6743$$ \, \cdot \, 2698876910275^{2} = 1$ |
| $6745$ | $55199809283039$ | $672119661864$ | $55199809283039^{2} \, - \, $$6745$$ \, \cdot \, 672119661864^{2} = 1$ |
| $6746$ | $2046304928232836724787206010754547699$ | $24914213499295266884007700920006010$ | $2046304928232836724787206010754547699^{2} \, - \, $$6746$$ \, \cdot \, 24914213499295266884007700920006010^{2} = 1$ |
| $6747$ | $25585663$ | $311488$ | $25585663^{2} \, - \, $$6747$$ \, \cdot \, 311488^{2} = 1$ |
| $6749$ | $70476095049$ | $857871260$ | $70476095049^{2} \, - \, $$6749$$ \, \cdot \, 857871260^{2} = 1$ |
| $6751$ | $40974491924$ | $498688695$ | $40974491924^{2} \, - \, $$6751$$ \, \cdot \, 498688695^{2} = 1$ |
| $6753$ | $3268963658780163835351$ | $39779719612716852620$ | $3268963658780163835351^{2} \, - \, $$6753$$ \, \cdot \, 39779719612716852620^{2} = 1$ |
| $6754$ | $2069265375934556242589585$ | $25178836794690616346916$ | $2069265375934556242589585^{2} \, - \, $$6754$$ \, \cdot \, 25178836794690616346916^{2} = 1$ |
| $6755$ | $19733286$ | $240097$ | $19733286^{2} \, - \, $$6755$$ \, \cdot \, 240097^{2} = 1$ |
| $6757$ | $2410107207019849$ | $29319691876020$ | $2410107207019849^{2} \, - \, $$6757$$ \, \cdot \, 29319691876020^{2} = 1$ |
| $6758$ | $185345343$ | $2254616$ | $185345343^{2} \, - \, $$6758$$ \, \cdot \, 2254616^{2} = 1$ |
| $6761$ | $28309709575813367983822985468666129901873520602855492980001$ | $344294389832054649566311041955939207646215606364162889400$ | $28309709575813367983822985468666129901873520602855492980001^{2} \, - \, $$6761$$ \, \cdot \, 344294389832054649566311041955939207646215606364162889400^{2} = 1$ |
| $6763$ | $407067861655157141339030459435781532846851405003234024209402$ | $4949907942879766460842366727408986896433440538768198593459$ | $407067861655157141339030459435781532846851405003234024209402^{2} \, - \, $$6763$$ \, \cdot \, 4949907942879766460842366727408986896433440538768198593459^{2} = 1$ |
| $6765$ | $329$ | $4$ | $329^{2} \, - \, $$6765$$ \, \cdot \, 4^{2} = 1$ |
| $6766$ | $13256036301455$ | $161156448492$ | $13256036301455^{2} \, - \, $$6766$$ \, \cdot \, 161156448492^{2} = 1$ |
| $6767$ | $284045228$ | $3452943$ | $284045228^{2} \, - \, $$6767$$ \, \cdot \, 3452943^{2} = 1$ |
| $6769$ | $236627724953726103182712665485102546143472430387531261590019956735$ | $2876095954355145781411105266788153894754436309338289192357659264$ | $236627724953726103182712665485102546143472430387531261590019956735^{2} \, - \, $$6769$$ \, \cdot \, 2876095954355145781411105266788153894754436309338289192357659264^{2} = 1$ |
| $6770$ | $8462499$ | $102850$ | $8462499^{2} \, - \, $$6770$$ \, \cdot \, 102850^{2} = 1$ |
| $6771$ | $221185$ | $2688$ | $221185^{2} \, - \, $$6771$$ \, \cdot \, 2688^{2} = 1$ |
| $6773$ | $51613848649$ | $627156180$ | $51613848649^{2} \, - \, $$6773$$ \, \cdot \, 627156180^{2} = 1$ |
| $6774$ | $2388965$ | $29026$ | $2388965^{2} \, - \, $$6774$$ \, \cdot \, 29026^{2} = 1$ |
| $6778$ | $5512904812405396103591573499778361625043$ | $66962199682249237096320488280341422146$ | $5512904812405396103591573499778361625043^{2} \, - \, $$6778$$ \, \cdot \, 66962199682249237096320488280341422146^{2} = 1$ |
| $6779$ | $61010$ | $741$ | $61010^{2} \, - \, $$6779$$ \, \cdot \, 741^{2} = 1$ |
| $6781$ | $912233240462732982199490955853896530063460774041719787579700746311751149807717912409904308071753410443174979462463708939441469449$ | $11077940317939277060420054834989859827246021509199940278051707000857147989109461454209010828725580792605703394590175569791443660$ | $912233240462732982199490955853896530063460774041719787579700746311751149807717912409904308071753410443174979462463708939441469449^{2} \, - \, $$6781$$ \, \cdot \, 11077940317939277060420054834989859827246021509199940278051707000857147989109461454209010828725580792605703394590175569791443660^{2} = 1$ |
| $6782$ | $1959999$ | $23800$ | $1959999^{2} \, - \, $$6782$$ \, \cdot \, 23800^{2} = 1$ |
| $6783$ | $3212$ | $39$ | $3212^{2} \, - \, $$6783$$ \, \cdot \, 39^{2} = 1$ |
| $6785$ | $701919333531980631$ | $8521426034612524$ | $701919333531980631^{2} \, - \, $$6785$$ \, \cdot \, 8521426034612524^{2} = 1$ |
| $6787$ | $6711350279035258$ | $81464984933007$ | $6711350279035258^{2} \, - \, $$6787$$ \, \cdot \, 81464984933007^{2} = 1$ |
| $6789$ | $36629735015213398135$ | $444560500366919196$ | $36629735015213398135^{2} \, - \, $$6789$$ \, \cdot \, 444560500366919196^{2} = 1$ |
| $6790$ | $8904693582061829$ | $108064759800834$ | $8904693582061829^{2} \, - \, $$6790$$ \, \cdot \, 108064759800834^{2} = 1$ |
| $6791$ | $279279880765560$ | $3389009491517$ | $279279880765560^{2} \, - \, $$6791$$ \, \cdot \, 3389009491517^{2} = 1$ |
| $6793$ | $353227830956206646840071762542387895690215720709158440991707114410273$ | $4285723092929514172236788427698854127861989919741249953424024817336$ | $353227830956206646840071762542387895690215720709158440991707114410273^{2} \, - \, $$6793$$ \, \cdot \, 4285723092929514172236788427698854127861989919741249953424024817336^{2} = 1$ |
| $6794$ | $26545120643443949$ | $322048983134970$ | $26545120643443949^{2} \, - \, $$6794$$ \, \cdot \, 322048983134970^{2} = 1$ |
| $6797$ | $157303$ | $1908$ | $157303^{2} \, - \, $$6797$$ \, \cdot \, 1908^{2} = 1$ |
| $6798$ | $1649$ | $20$ | $1649^{2} \, - \, $$6798$$ \, \cdot \, 20^{2} = 1$ |
| $6799$ | $51699879004027548027755193187169705020204825$ | $626999228006726346473933708929708992179724$ | $51699879004027548027755193187169705020204825^{2} \, - \, $$6799$$ \, \cdot \, 626999228006726346473933708929708992179724^{2} = 1$ |
| $6801$ | $442300080975656540206204647884250625651815969188375$ | $5363281985180504286298883100420550334431736135132$ | $442300080975656540206204647884250625651815969188375^{2} \, - \, $$6801$$ \, \cdot \, 5363281985180504286298883100420550334431736135132^{2} = 1$ |
| $6802$ | $861812005737831405822017$ | $10449469100114716913112$ | $861812005737831405822017^{2} \, - \, $$6802$$ \, \cdot \, 10449469100114716913112^{2} = 1$ |
| $6803$ | $74863467960946140773026$ | $907652704284423526665$ | $74863467960946140773026^{2} \, - \, $$6803$$ \, \cdot \, 907652704284423526665^{2} = 1$ |
| $6805$ | $10889$ | $132$ | $10889^{2} \, - \, $$6805$$ \, \cdot \, 132^{2} = 1$ |
| $6806$ | $165$ | $2$ | $165^{2} \, - \, $$6806$$ \, \cdot \, 2^{2} = 1$ |
| $6807$ | $18151$ | $220$ | $18151^{2} \, - \, $$6807$$ \, \cdot \, 220^{2} = 1$ |
| $6809$ | $4951$ | $60$ | $4951^{2} \, - \, $$6809$$ \, \cdot \, 60^{2} = 1$ |
| $6810$ | $3631$ | $44$ | $3631^{2} \, - \, $$6810$$ \, \cdot \, 44^{2} = 1$ |
| $6814$ | $84976093089921692426795657143585936258935334089704478034175$ | $1029427332803628745329719345303758805519360341036298384304$ | $84976093089921692426795657143585936258935334089704478034175^{2} \, - \, $$6814$$ \, \cdot \, 1029427332803628745329719345303758805519360341036298384304^{2} = 1$ |
| $6815$ | $17661144$ | $213937$ | $17661144^{2} \, - \, $$6815$$ \, \cdot \, 213937^{2} = 1$ |
| $6817$ | $164416446679417079346641682143649793$ | $1991354643581955562247060243081088$ | $164416446679417079346641682143649793^{2} \, - \, $$6817$$ \, \cdot \, 1991354643581955562247060243081088^{2} = 1$ |
| $6818$ | $334083$ | $4046$ | $334083^{2} \, - \, $$6818$$ \, \cdot \, 4046^{2} = 1$ |
| $6819$ | $103164650$ | $1249311$ | $103164650^{2} \, - \, $$6819$$ \, \cdot \, 1249311^{2} = 1$ |
| $6821$ | $14121493728951$ | $170984448820$ | $14121493728951^{2} \, - \, $$6821$$ \, \cdot \, 170984448820^{2} = 1$ |
| $6823$ | $52302170670076565545258351448$ | $633187055615298733194137331$ | $52302170670076565545258351448^{2} \, - \, $$6823$$ \, \cdot \, 633187055615298733194137331^{2} = 1$ |
| $6826$ | $4914275809513546776152360377688515991834972552668948700715425097791957523756089299$ | $59480743056929419066834296517353484821022092471371749768515074060943622867793670$ | $4914275809513546776152360377688515991834972552668948700715425097791957523756089299^{2} \, - \, $$6826$$ \, \cdot \, 59480743056929419066834296517353484821022092471371749768515074060943622867793670^{2} = 1$ |
| $6827$ | $572782238243979486922$ | $6932255975417590323$ | $572782238243979486922^{2} \, - \, $$6827$$ \, \cdot \, 6932255975417590323^{2} = 1$ |
| $6829$ | $329193470472193712949550776348318404515010693082347229388317940707942971956588011161803916649277857045856156953356297825072563425494288962207368895353723748671049$ | $3983571862015289177268105541724820937760171200667222370948986501166335722772085747080516646954487089316624085365269517982453973452961546542626698572599406860740$ | $329193470472193712949550776348318404515010693082347229388317940707942971956588011161803916649277857045856156953356297825072563425494288962207368895353723748671049^{2} \, - \, $$6829$$ \, \cdot \, 3983571862015289177268105541724820937760171200667222370948986501166335722772085747080516646954487089316624085365269517982453973452961546542626698572599406860740^{2} = 1$ |
| $6830$ | $4399506251$ | $53234550$ | $4399506251^{2} \, - \, $$6830$$ \, \cdot \, 53234550^{2} = 1$ |
| $6833$ | $34802055505619045204973224193971254224316674849$ | $421016566338659693156199844661428610285616040$ | $34802055505619045204973224193971254224316674849^{2} \, - \, $$6833$$ \, \cdot \, 421016566338659693156199844661428610285616040^{2} = 1$ |
| $6834$ | $61505$ | $744$ | $61505^{2} \, - \, $$6834$$ \, \cdot \, 744^{2} = 1$ |
| $6835$ | $5139538606$ | $62166279$ | $5139538606^{2} \, - \, $$6835$$ \, \cdot \, 62166279^{2} = 1$ |
| $6837$ | $9703277659999$ | $117350695800$ | $9703277659999^{2} \, - \, $$6837$$ \, \cdot \, 117350695800^{2} = 1$ |
| $6838$ | $8626941100668320569151$ | $104325934771957598040$ | $8626941100668320569151^{2} \, - \, $$6838$$ \, \cdot \, 104325934771957598040^{2} = 1$ |
| $6839$ | $79356824$ | $959595$ | $79356824^{2} \, - \, $$6839$$ \, \cdot \, 959595^{2} = 1$ |
| $6841$ | $3053054281662770443462344868718167832575790045736585322129331858474638508666381763341871291745422341975119010877988374256800120640801$ | $36912608002606201965151330348372830479844389963236856060481767416267013676864667216029715280714838716272538155984985988077122208760$ | $3053054281662770443462344868718167832575790045736585322129331858474638508666381763341871291745422341975119010877988374256800120640801^{2} \, - \, $$6841$$ \, \cdot \, 36912608002606201965151330348372830479844389963236856060481767416267013676864667216029715280714838716272538155984985988077122208760^{2} = 1$ |
| $6842$ | $1803929997$ | $21808618$ | $1803929997^{2} \, - \, $$6842$$ \, \cdot \, 21808618^{2} = 1$ |
| $6843$ | $8191128026$ | $99019435$ | $8191128026^{2} \, - \, $$6843$$ \, \cdot \, 99019435^{2} = 1$ |
| $6846$ | $134460486805$ | $1625085562$ | $134460486805^{2} \, - \, $$6846$$ \, \cdot \, 1625085562^{2} = 1$ |
| $6847$ | $2661411702608587276805981584260224$ | $32163396030598352973929221979295$ | $2661411702608587276805981584260224^{2} \, - \, $$6847$$ \, \cdot \, 32163396030598352973929221979295^{2} = 1$ |
| $6851$ | $476619326$ | $5758305$ | $476619326^{2} \, - \, $$6851$$ \, \cdot \, 5758305^{2} = 1$ |
| $6853$ | $3472662465747302458751$ | $41949057445277900400$ | $3472662465747302458751^{2} \, - \, $$6853$$ \, \cdot \, 41949057445277900400^{2} = 1$ |
| $6854$ | $7451$ | $90$ | $7451^{2} \, - \, $$6854$$ \, \cdot \, 90^{2} = 1$ |
| $6855$ | $48624272164$ | $587285643$ | $48624272164^{2} \, - \, $$6855$$ \, \cdot \, 587285643^{2} = 1$ |
| $6857$ | $332522042327839989714470437639823216220510078054248574753$ | $4015626989486571659194166127053942016272386260653377288$ | $332522042327839989714470437639823216220510078054248574753^{2} \, - \, $$6857$$ \, \cdot \, 4015626989486571659194166127053942016272386260653377288^{2} = 1$ |
| $6861$ | $583460241529060881999549520582138618552091749495$ | $7043970975362995672995817655107369749442488972$ | $583460241529060881999549520582138618552091749495^{2} \, - \, $$6861$$ \, \cdot \, 7043970975362995672995817655107369749442488972^{2} = 1$ |
| $6862$ | $308219069405376386691983$ | $3720781335811600988268$ | $308219069405376386691983^{2} \, - \, $$6862$$ \, \cdot \, 3720781335811600988268^{2} = 1$ |
| $6863$ | $3160729405673705088$ | $38153142748683319$ | $3160729405673705088^{2} \, - \, $$6863$$ \, \cdot \, 38153142748683319^{2} = 1$ |
| $6865$ | $10706419067741659803864354417783246435401310349004929$ | $129218283480858761854242191059841928520559944469136$ | $10706419067741659803864354417783246435401310349004929^{2} \, - \, $$6865$$ \, \cdot \, 129218283480858761854242191059841928520559944469136^{2} = 1$ |
| $6866$ | $2227644414601251$ | $26884005073550$ | $2227644414601251^{2} \, - \, $$6866$$ \, \cdot \, 26884005073550^{2} = 1$ |
| $6869$ | $304054892880484430353977801$ | $3668641194157098716711180$ | $304054892880484430353977801^{2} \, - \, $$6869$$ \, \cdot \, 3668641194157098716711180^{2} = 1$ |
| $6870$ | $141601691$ | $1708402$ | $141601691^{2} \, - \, $$6870$$ \, \cdot \, 1708402^{2} = 1$ |
| $6871$ | $71435141943732810809759412232060073004856269849016040765233400$ | $861790967205632429759941641223758475700047917169294727521563$ | $71435141943732810809759412232060073004856269849016040765233400^{2} \, - \, $$6871$$ \, \cdot \, 861790967205632429759941641223758475700047917169294727521563^{2} = 1$ |
| $6873$ | $92375987074793$ | $1114258408524$ | $92375987074793^{2} \, - \, $$6873$$ \, \cdot \, 1114258408524^{2} = 1$ |
| $6874$ | $1398997906059803271252552986815$ | $16873776817099311441845882424$ | $1398997906059803271252552986815^{2} \, - \, $$6874$$ \, \cdot \, 16873776817099311441845882424^{2} = 1$ |
| $6878$ | $27108539395120203$ | $326869977194894$ | $27108539395120203^{2} \, - \, $$6878$$ \, \cdot \, 326869977194894^{2} = 1$ |
| $6879$ | $122517559601592364567015$ | $1477187700351101776084$ | $122517559601592364567015^{2} \, - \, $$6879$$ \, \cdot \, 1477187700351101776084^{2} = 1$ |
| $6881$ | $11083327292052039650498477349284735$ | $133611666011606100791064517226448$ | $11083327292052039650498477349284735^{2} \, - \, $$6881$$ \, \cdot \, 133611666011606100791064517226448^{2} = 1$ |
| $6882$ | $1119101$ | $13490$ | $1119101^{2} \, - \, $$6882$$ \, \cdot \, 13490^{2} = 1$ |
| $6883$ | $858284831758042369062367976035456822155712757140696922$ | $10345287219947942681458692716251599458151115997240799$ | $858284831758042369062367976035456822155712757140696922^{2} \, - \, $$6883$$ \, \cdot \, 10345287219947942681458692716251599458151115997240799^{2} = 1$ |
| $6886$ | $597487880199453605$ | $7200217093667322$ | $597487880199453605^{2} \, - \, $$6886$$ \, \cdot \, 7200217093667322^{2} = 1$ |
| $6887$ | $6888$ | $83$ | $6888^{2} \, - \, $$6887$$ \, \cdot \, 83^{2} = 1$ |
| $6890$ | $13779$ | $166$ | $13779^{2} \, - \, $$6890$$ \, \cdot \, 166^{2} = 1$ |
| $6891$ | $6890$ | $83$ | $6890^{2} \, - \, $$6891$$ \, \cdot \, 83^{2} = 1$ |
| $6893$ | $163612592649$ | $1970664020$ | $163612592649^{2} \, - \, $$6893$$ \, \cdot \, 1970664020^{2} = 1$ |
| $6895$ | $90685749427876$ | $1092123899535$ | $90685749427876^{2} \, - \, $$6895$$ \, \cdot \, 1092123899535^{2} = 1$ |
| $6898$ | $1336879300485970644582401$ | $16096468496761807290240$ | $1336879300485970644582401^{2} \, - \, $$6898$$ \, \cdot \, 16096468496761807290240^{2} = 1$ |
| $6899$ | $32074915241545140745127106771490$ | $386164587355776156374056273401$ | $32074915241545140745127106771490^{2} \, - \, $$6899$$ \, \cdot \, 386164587355776156374056273401^{2} = 1$ |
| $6901$ | $24661495$ | $296868$ | $24661495^{2} \, - \, $$6901$$ \, \cdot \, 296868^{2} = 1$ |
| $6902$ | $5369349$ | $64630$ | $5369349^{2} \, - \, $$6902$$ \, \cdot \, 64630^{2} = 1$ |
| $6905$ | $131261289$ | $1579628$ | $131261289^{2} \, - \, $$6905$$ \, \cdot \, 1579628^{2} = 1$ |
| $6906$ | $4014481062822361999567554597399551$ | $48307673971902629247707972774560$ | $4014481062822361999567554597399551^{2} \, - \, $$6906$$ \, \cdot \, 48307673971902629247707972774560^{2} = 1$ |
| $6907$ | $95798214155711013328661732924040026$ | $1152690423699649071980218257142155$ | $95798214155711013328661732924040026^{2} \, - \, $$6907$$ \, \cdot \, 1152690423699649071980218257142155^{2} = 1$ |
| $6910$ | $671202454395903067920695221$ | $8074479053212333259249982$ | $671202454395903067920695221^{2} \, - \, $$6910$$ \, \cdot \, 8074479053212333259249982^{2} = 1$ |
| $6911$ | $39230557470711104688735239346162196759440$ | $471904406925246978101951814792304932097$ | $39230557470711104688735239346162196759440^{2} \, - \, $$6911$$ \, \cdot \, 471904406925246978101951814792304932097^{2} = 1$ |
| $6913$ | $73389583046108149002701974395430961047794790233789011167$ | $882675641505246365480174463321868878709943560420530024$ | $73389583046108149002701974395430961047794790233789011167^{2} \, - \, $$6913$$ \, \cdot \, 882675641505246365480174463321868878709943560420530024^{2} = 1$ |
| $6914$ | $3899502915$ | $46896946$ | $3899502915^{2} \, - \, $$6914$$ \, \cdot \, 46896946^{2} = 1$ |
| $6915$ | $385582706$ | $4636833$ | $385582706^{2} \, - \, $$6915$$ \, \cdot \, 4636833^{2} = 1$ |
| $6917$ | $369779161801355025945728514886884591865865880320002587692303466249$ | $4446144219943342487789908731472077295401675785032044189757141700$ | $369779161801355025945728514886884591865865880320002587692303466249^{2} \, - \, $$6917$$ \, \cdot \, 4446144219943342487789908731472077295401675785032044189757141700^{2} = 1$ |
| $6918$ | $901560677$ | $10839386$ | $901560677^{2} \, - \, $$6918$$ \, \cdot \, 10839386^{2} = 1$ |
| $6919$ | $224753500612576$ | $2701996607715$ | $224753500612576^{2} \, - \, $$6919$$ \, \cdot \, 2701996607715^{2} = 1$ |
| $6922$ | $9857198359510094416961891424880500971923$ | $118477995705719346779945565783037641882$ | $9857198359510094416961891424880500971923^{2} \, - \, $$6922$$ \, \cdot \, 118477995705719346779945565783037641882^{2} = 1$ |
| $6923$ | $3829407$ | $46024$ | $3829407^{2} \, - \, $$6923$$ \, \cdot \, 46024^{2} = 1$ |
| $6926$ | $4769829379903519774501376655$ | $57314116311660957433798732$ | $4769829379903519774501376655^{2} \, - \, $$6926$$ \, \cdot \, 57314116311660957433798732^{2} = 1$ |
| $6927$ | $2828524$ | $33985$ | $2828524^{2} \, - \, $$6927$$ \, \cdot \, 33985^{2} = 1$ |
| $6931$ | $233091622339199727504473307004324947449$ | $2799810998132947495166199925494592860$ | $233091622339199727504473307004324947449^{2} \, - \, $$6931$$ \, \cdot \, 2799810998132947495166199925494592860^{2} = 1$ |
| $6933$ | $14025754807$ | $168447916$ | $14025754807^{2} \, - \, $$6933$$ \, \cdot \, 168447916^{2} = 1$ |
| $6934$ | $342081431826989935905586129014057832628874846945846047576069939049314884140485$ | $4108067611206157795874355498678012859987681462852548723024033403212091014294$ | $342081431826989935905586129014057832628874846945846047576069939049314884140485^{2} \, - \, $$6934$$ \, \cdot \, 4108067611206157795874355498678012859987681462852548723024033403212091014294^{2} = 1$ |
| $6935$ | $1612569$ | $19364$ | $1612569^{2} \, - \, $$6935$$ \, \cdot \, 19364^{2} = 1$ |
| $6937$ | $46393613427850526203284130298180677878751$ | $557022004986893110082554775102683650600$ | $46393613427850526203284130298180677878751^{2} \, - \, $$6937$$ \, \cdot \, 557022004986893110082554775102683650600^{2} = 1$ |
| $6938$ | $21543556035392201660064418899$ | $258642710497674198123725870$ | $21543556035392201660064418899^{2} \, - \, $$6938$$ \, \cdot \, 258642710497674198123725870^{2} = 1$ |
| $6941$ | $105177498118199$ | $1262443102140$ | $105177498118199^{2} \, - \, $$6941$$ \, \cdot \, 1262443102140^{2} = 1$ |
| $6942$ | $172303$ | $2068$ | $172303^{2} \, - \, $$6942$$ \, \cdot \, 2068^{2} = 1$ |
| $6943$ | $20045125658663$ | $240566528124$ | $20045125658663^{2} \, - \, $$6943$$ \, \cdot \, 240566528124^{2} = 1$ |
| $6945$ | $25001$ | $300$ | $25001^{2} \, - \, $$6945$$ \, \cdot \, 300^{2} = 1$ |
| $6946$ | $48824709949$ | $585830910$ | $48824709949^{2} \, - \, $$6946$$ \, \cdot \, 585830910^{2} = 1$ |
| $6947$ | $8089796315457026$ | $97059698443695$ | $8089796315457026^{2} \, - \, $$6947$$ \, \cdot \, 97059698443695^{2} = 1$ |
| $6949$ | $8644021703899929592201$ | $103694254307478821340$ | $8644021703899929592201^{2} \, - \, $$6949$$ \, \cdot \, 103694254307478821340^{2} = 1$ |
| $6951$ | $1835663681305$ | $22017574332$ | $1835663681305^{2} \, - \, $$6951$$ \, \cdot \, 22017574332^{2} = 1$ |
| $6953$ | $2350113$ | $28184$ | $2350113^{2} \, - \, $$6953$$ \, \cdot \, 28184^{2} = 1$ |
| $6954$ | $360280024145$ | $4320388884$ | $360280024145^{2} \, - \, $$6954$$ \, \cdot \, 4320388884^{2} = 1$ |
| $6955$ | $3379787189987496614$ | $40526657715198483$ | $3379787189987496614^{2} \, - \, $$6955$$ \, \cdot \, 40526657715198483^{2} = 1$ |
| $6959$ | $25497153316893456008759245715137008308385600$ | $305645690789044488821032066200798046962169$ | $25497153316893456008759245715137008308385600^{2} \, - \, $$6959$$ \, \cdot \, 305645690789044488821032066200798046962169^{2} = 1$ |
| $6961$ | $1038373492282309892532135655735252884964709538746575187736628462545024484962210314631505941184465636882763882890142023201$ | $12445655517279323785414115534405852520102148369892595869913890404768215939558885955155260205566097176689751458804612680$ | $1038373492282309892532135655735252884964709538746575187736628462545024484962210314631505941184465636882763882890142023201^{2} \, - \, $$6961$$ \, \cdot \, 12445655517279323785414115534405852520102148369892595869913890404768215939558885955155260205566097176689751458804612680^{2} = 1$ |
| $6963$ | $564002$ | $6759$ | $564002^{2} \, - \, $$6963$$ \, \cdot \, 6759^{2} = 1$ |
| $6965$ | $19022466373119$ | $227932505632$ | $19022466373119^{2} \, - \, $$6965$$ \, \cdot \, 227932505632^{2} = 1$ |
| $6967$ | $2632462319445291152490550459910245363945428893537881322888$ | $31538371040640744508767791310177964309940629040197981227$ | $2632462319445291152490550459910245363945428893537881322888^{2} \, - \, $$6967$$ \, \cdot \, 31538371040640744508767791310177964309940629040197981227^{2} = 1$ |
| $6969$ | $12721418288840459357220575$ | $152387835521506177375864$ | $12721418288840459357220575^{2} \, - \, $$6969$$ \, \cdot \, 152387835521506177375864^{2} = 1$ |
| $6970$ | $26278698259$ | $314765742$ | $26278698259^{2} \, - \, $$6970$$ \, \cdot \, 314765742^{2} = 1$ |
| $6971$ | $26873943030044445210050814552370$ | $321872483391760286001347581563$ | $26873943030044445210050814552370^{2} \, - \, $$6971$$ \, \cdot \, 321872483391760286001347581563^{2} = 1$ |
| $6973$ | $254617437260174078827161470829228273463892599$ | $3049146633007277825681754747175001060014740$ | $254617437260174078827161470829228273463892599^{2} \, - \, $$6973$$ \, \cdot \, 3049146633007277825681754747175001060014740^{2} = 1$ |
| $6974$ | $12368041443487422549$ | $148101671583647990$ | $12368041443487422549^{2} \, - \, $$6974$$ \, \cdot \, 148101671583647990^{2} = 1$ |
| $6977$ | $52908871705239105066196452861235504828365468911649$ | $633423451945216460517960586942792240184950477640$ | $52908871705239105066196452861235504828365468911649^{2} \, - \, $$6977$$ \, \cdot \, 633423451945216460517960586942792240184950477640^{2} = 1$ |
| $6978$ | $134922380889552401$ | $1615171020057460$ | $134922380889552401^{2} \, - \, $$6978$$ \, \cdot \, 1615171020057460^{2} = 1$ |
| $6979$ | $7645138800879208002623583831436667174$ | $91514260670702484927557365566376815$ | $7645138800879208002623583831436667174^{2} \, - \, $$6979$$ \, \cdot \, 91514260670702484927557365566376815^{2} = 1$ |
| $6981$ | $337609279799$ | $4040690220$ | $337609279799^{2} \, - \, $$6981$$ \, \cdot \, 4040690220^{2} = 1$ |
| $6982$ | $303023233858060576021855101641867305929755717$ | $3626486010133685983459148541786048309879378$ | $303023233858060576021855101641867305929755717^{2} \, - \, $$6982$$ \, \cdot \, 3626486010133685983459148541786048309879378^{2} = 1$ |
| $6983$ | $15921264901762375030230283698024$ | $190527007933587282252318048995$ | $15921264901762375030230283698024^{2} \, - \, $$6983$$ \, \cdot \, 190527007933587282252318048995^{2} = 1$ |
| $6985$ | $67879160503556447287630871$ | $812181807584285432377068$ | $67879160503556447287630871^{2} \, - \, $$6985$$ \, \cdot \, 812181807584285432377068^{2} = 1$ |
| $6986$ | $2801206037318655$ | $33514347085472$ | $2801206037318655^{2} \, - \, $$6986$$ \, \cdot \, 33514347085472^{2} = 1$ |
| $6987$ | $2019242$ | $24157$ | $2019242^{2} \, - \, $$6987$$ \, \cdot \, 24157^{2} = 1$ |
| $6989$ | $349449$ | $4180$ | $349449^{2} \, - \, $$6989$$ \, \cdot \, 4180^{2} = 1$ |
| $6990$ | $18427780800271$ | $220411601316$ | $18427780800271^{2} \, - \, $$6990$$ \, \cdot \, 220411601316^{2} = 1$ |
| $6991$ | $6090263903150802253870395710443423009003553853618911478320$ | $72839416954580096549824736583139003804661746272445348233$ | $6090263903150802253870395710443423009003553853618911478320^{2} \, - \, $$6991$$ \, \cdot \, 72839416954580096549824736583139003804661746272445348233^{2} = 1$ |
| $6994$ | $74542051$ | $891330$ | $74542051^{2} \, - \, $$6994$$ \, \cdot \, 891330^{2} = 1$ |
| $6995$ | $338559$ | $4048$ | $338559^{2} \, - \, $$6995$$ \, \cdot \, 4048^{2} = 1$ |
| $6997$ | $1193692247991964930906105953856638019849$ | $14270409528012863912139749916649209180$ | $1193692247991964930906105953856638019849^{2} \, - \, $$6997$$ \, \cdot \, 14270409528012863912139749916649209180^{2} = 1$ |
| $6998$ | $16246391210119762757$ | $194209261890019926$ | $16246391210119762757^{2} \, - \, $$6998$$ \, \cdot \, 194209261890019926^{2} = 1$ |
| $6999$ | $38207774628414076$ | $456702876147965$ | $38207774628414076^{2} \, - \, $$6999$$ \, \cdot \, 456702876147965^{2} = 1$ |