Fundamental Solutions to Pell's Equation for $n = 5001 \mathinner{\ldotp\ldotp} 6000$


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
$5001$ $3509480115496136587702226332407575$ $49626581352106209709036040453932$ $3509480115496136587702226332407575^{2} \, - \, $$5001$$ \, \cdot \, 49626581352106209709036040453932^{2} = 1$
$5002$ $390401$ $5520$ $390401^{2} \, - \, $$5002$$ \, \cdot \, 5520^{2} = 1$
$5003$ $48423659490675226$ $684608608130205$ $48423659490675226^{2} \, - \, $$5003$$ \, \cdot \, 684608608130205^{2} = 1$
$5005$ $44268809311$ $625742712$ $44268809311^{2} \, - \, $$5005$$ \, \cdot \, 625742712^{2} = 1$
$5006$ $48158641949558952251442749803488001841295$ $680657773686093065717523633838561099252$ $48158641949558952251442749803488001841295^{2} \, - \, $$5006$$ \, \cdot \, 680657773686093065717523633838561099252^{2} = 1$
$5007$ $217034724223897$ $3067188224212$ $217034724223897^{2} \, - \, $$5007$$ \, \cdot \, 3067188224212^{2} = 1$
$5009$ $754682367921969429130320127864154620855710960099814496864813517312801$ $10663227809687076898395591777372183513500019124430822841430983544280$ $754682367921969429130320127864154620855710960099814496864813517312801^{2} \, - \, $$5009$$ \, \cdot \, 10663227809687076898395591777372183513500019124430822841430983544280^{2} = 1$
$5010$ $684031$ $9664$ $684031^{2} \, - \, $$5010$$ \, \cdot \, 9664^{2} = 1$
$5011$ $1576004487359930$ $22263592706553$ $1576004487359930^{2} \, - \, $$5011$$ \, \cdot \, 22263592706553^{2} = 1$
$5014$ $25157598731408198132266996072608016699$ $355285121749346859670064114879166870$ $25157598731408198132266996072608016699^{2} \, - \, $$5014$$ \, \cdot \, 355285121749346859670064114879166870^{2} = 1$
$5015$ $4249$ $60$ $4249^{2} \, - \, $$5015$$ \, \cdot \, 60^{2} = 1$
$5017$ $74400254699619404393$ $1050394337273772012$ $74400254699619404393^{2} \, - \, $$5017$$ \, \cdot \, 1050394337273772012^{2} = 1$
$5018$ $13739283$ $193954$ $13739283^{2} \, - \, $$5018$$ \, \cdot \, 193954^{2} = 1$
$5019$ $109115136670$ $1540197461$ $109115136670^{2} \, - \, $$5019$$ \, \cdot \, 1540197461^{2} = 1$
$5021$ $4567839564133384813248201$ $64463774541785271371780$ $4567839564133384813248201^{2} \, - \, $$5021$$ \, \cdot \, 64463774541785271371780^{2} = 1$
$5023$ $262651211423970166717203799863486758357432343008$ $3705935182493393334207534987381977802152854191$ $262651211423970166717203799863486758357432343008^{2} \, - \, $$5023$$ \, \cdot \, 3705935182493393334207534987381977802152854191^{2} = 1$
$5026$ $1043204847875$ $14714935218$ $1043204847875^{2} \, - \, $$5026$$ \, \cdot \, 14714935218^{2} = 1$
$5027$ $1392425960122$ $19638923073$ $1392425960122^{2} \, - \, $$5027$$ \, \cdot \, 19638923073^{2} = 1$
$5029$ $91059678760321912033649473475404820231735$ $1284059936934832497698286520584540355116$ $91059678760321912033649473475404820231735^{2} \, - \, $$5029$$ \, \cdot \, 1284059936934832497698286520584540355116^{2} = 1$
$5030$ $25697199246840251$ $362327918745090$ $25697199246840251^{2} \, - \, $$5030$$ \, \cdot \, 362327918745090^{2} = 1$
$5033$ $1237553622314329823$ $17444180045659704$ $1237553622314329823^{2} \, - \, $$5033$$ \, \cdot \, 17444180045659704^{2} = 1$
$5034$ $646660663843591585199$ $9114226940885505620$ $646660663843591585199^{2} \, - \, $$5034$$ \, \cdot \, 9114226940885505620^{2} = 1$
$5035$ $2788140475126$ $39292975155$ $2788140475126^{2} \, - \, $$5035$$ \, \cdot \, 39292975155^{2} = 1$
$5037$ $178849$ $2520$ $178849^{2} \, - \, $$5037$$ \, \cdot \, 2520^{2} = 1$
$5038$ $41471811002357$ $584283899514$ $41471811002357^{2} \, - \, $$5038$$ \, \cdot \, 584283899514^{2} = 1$
$5039$ $5040$ $71$ $5040^{2} \, - \, $$5039$$ \, \cdot \, 71^{2} = 1$
$5042$ $10083$ $142$ $10083^{2} \, - \, $$5042$$ \, \cdot \, 142^{2} = 1$
$5045$ $64126399689$ $902830604$ $64126399689^{2} \, - \, $$5045$$ \, \cdot \, 902830604^{2} = 1$
$5051$ $19888215137098831204331127274450$ $279838281401562462581280432507$ $19888215137098831204331127274450^{2} \, - \, $$5051$$ \, \cdot \, 279838281401562462581280432507^{2} = 1$
$5053$ $193399882066783$ $2720705633064$ $193399882066783^{2} \, - \, $$5053$$ \, \cdot \, 2720705633064^{2} = 1$
$5055$ $69437164$ $976633$ $69437164^{2} \, - \, $$5055$$ \, \cdot \, 976633^{2} = 1$
$5057$ $17739177$ $249452$ $17739177^{2} \, - \, $$5057$$ \, \cdot \, 249452^{2} = 1$
$5059$ $7861175388095683510993718096242134014475170$ $110523631471908096357595246913049265441569$ $7861175388095683510993718096242134014475170^{2} \, - \, $$5059$$ \, \cdot \, 110523631471908096357595246913049265441569^{2} = 1$
$5061$ $149084904533566230391735$ $2095634323233091498572$ $149084904533566230391735^{2} \, - \, $$5061$$ \, \cdot \, 2095634323233091498572^{2} = 1$
$5062$ $13269138833223402948205313366431815596559557$ $186501215950563142121888562911191933679502$ $13269138833223402948205313366431815596559557^{2} \, - \, $$5062$$ \, \cdot \, 186501215950563142121888562911191933679502^{2} = 1$
$5063$ $5977$ $84$ $5977^{2} \, - \, $$5063$$ \, \cdot \, 84^{2} = 1$
$5065$ $2001430984098077293440641361897224111925818397184129$ $28122303697830490651008442867955305796205291562416$ $2001430984098077293440641361897224111925818397184129^{2} \, - \, $$5065$$ \, \cdot \, 28122303697830490651008442867955305796205291562416^{2} = 1$
$5066$ $4935475$ $69342$ $4935475^{2} \, - \, $$5066$$ \, \cdot \, 69342^{2} = 1$
$5069$ $1193545$ $16764$ $1193545^{2} \, - \, $$5069$$ \, \cdot \, 16764^{2} = 1$
$5071$ $166420$ $2337$ $166420^{2} \, - \, $$5071$$ \, \cdot \, 2337^{2} = 1$
$5073$ $2849$ $40$ $2849^{2} \, - \, $$5073$$ \, \cdot \, 40^{2} = 1$
$5074$ $6948610614585441764473593889025$ $97548982544630385341332460976$ $6948610614585441764473593889025^{2} \, - \, $$5074$$ \, \cdot \, 97548982544630385341332460976^{2} = 1$
$5077$ $1378531907569960780666249$ $19346982599563037199300$ $1378531907569960780666249^{2} \, - \, $$5077$$ \, \cdot \, 19346982599563037199300^{2} = 1$
$5078$ $36875592335194597$ $517478912598894$ $36875592335194597^{2} \, - \, $$5078$$ \, \cdot \, 517478912598894^{2} = 1$
$5079$ $10822950672347972917163815$ $151864607719463265694484$ $10822950672347972917163815^{2} \, - \, $$5079$$ \, \cdot \, 151864607719463265694484^{2} = 1$
$5081$ $1315978383380001$ $18461804938600$ $1315978383380001^{2} \, - \, $$5081$$ \, \cdot \, 18461804938600^{2} = 1$
$5083$ $302685827833$ $4245531156$ $302685827833^{2} \, - \, $$5083$$ \, \cdot \, 4245531156^{2} = 1$
$5086$ $40649747826366232986892420951279873477215591314529966345408399116353535$ $569993204274597143628517250407924455081205201430994479312401162860672$ $40649747826366232986892420951279873477215591314529966345408399116353535^{2} \, - \, $$5086$$ \, \cdot \, 569993204274597143628517250407924455081205201430994479312401162860672^{2} = 1$
$5087$ $16889796629026050624$ $236806463164818575$ $16889796629026050624^{2} \, - \, $$5087$$ \, \cdot \, 236806463164818575^{2} = 1$
$5089$ $20546679098158975$ $288021834790896$ $20546679098158975^{2} \, - \, $$5089$$ \, \cdot \, 288021834790896^{2} = 1$
$5090$ $35408330499$ $496302610$ $35408330499^{2} \, - \, $$5090$$ \, \cdot \, 496302610^{2} = 1$
$5091$ $2524438349549261172844610$ $35380439261774551863217$ $2524438349549261172844610^{2} \, - \, $$5091$$ \, \cdot \, 35380439261774551863217^{2} = 1$
$5093$ $406622115495251103769399$ $5697760070699198771220$ $406622115495251103769399^{2} \, - \, $$5093$$ \, \cdot \, 5697760070699198771220^{2} = 1$
$5095$ $1713959$ $24012$ $1713959^{2} \, - \, $$5095$$ \, \cdot \, 24012^{2} = 1$
$5097$ $4695585219038687111593292068056151$ $65770691817474628845006669093220$ $4695585219038687111593292068056151^{2} \, - \, $$5097$$ \, \cdot \, 65770691817474628845006669093220^{2} = 1$
$5098$ $254899$ $3570$ $254899^{2} \, - \, $$5098$$ \, \cdot \, 3570^{2} = 1$
$5099$ $11214174610$ $157045251$ $11214174610^{2} \, - \, $$5099$$ \, \cdot \, 157045251^{2} = 1$
$5101$ $14794807065708502800277594820795245963345503675626759321673519927486108806939965091305673367688201$ $207148429137387108862781191631118018341001357820444495793735851294326750651074061923658931845420$ $14794807065708502800277594820795245963345503675626759321673519927486108806939965091305673367688201^{2} \, - \, $$5101$$ \, \cdot \, 207148429137387108862781191631118018341001357820444495793735851294326750651074061923658931845420^{2} = 1$
$5102$ $249999$ $3500$ $249999^{2} \, - \, $$5102$$ \, \cdot \, 3500^{2} = 1$
$5105$ $9721961$ $136068$ $9721961^{2} \, - \, $$5105$$ \, \cdot \, 136068^{2} = 1$
$5106$ $2355199$ $32960$ $2355199^{2} \, - \, $$5106$$ \, \cdot \, 32960^{2} = 1$
$5107$ $159997202$ $2238873$ $159997202^{2} \, - \, $$5107$$ \, \cdot \, 2238873^{2} = 1$
$5109$ $3145$ $44$ $3145^{2} \, - \, $$5109$$ \, \cdot \, 44^{2} = 1$
$5110$ $157532110469$ $2203731306$ $157532110469^{2} \, - \, $$5110$$ \, \cdot \, 2203731306^{2} = 1$
$5111$ $1269337898980$ $17755148403$ $1269337898980^{2} \, - \, $$5111$$ \, \cdot \, 17755148403^{2} = 1$
$5113$ $212733237563357562481139726706938389059857982687478070213797709723330664294433$ $2975071812756733642853877905331137448306534866699285049551336393266851086376$ $212733237563357562481139726706938389059857982687478070213797709723330664294433^{2} \, - \, $$5113$$ \, \cdot \, 2975071812756733642853877905331137448306534866699285049551336393266851086376^{2} = 1$
$5114$ $2277332480777010799080051$ $31845353821737837840970$ $2277332480777010799080051^{2} \, - \, $$5114$$ \, \cdot \, 31845353821737837840970^{2} = 1$
$5115$ $3719$ $52$ $3719^{2} \, - \, $$5115$$ \, \cdot \, 52^{2} = 1$
$5117$ $617686399$ $8634960$ $617686399^{2} \, - \, $$5117$$ \, \cdot \, 8634960^{2} = 1$
$5118$ $106493278384978658933$ $1488579576694155154$ $106493278384978658933^{2} \, - \, $$5118$$ \, \cdot \, 1488579576694155154^{2} = 1$
$5119$ $415347262217633599232598201881168952868475859796895599689107591096040789200$ $5805221397505373833151811930251467257569851568099381397910630158336152961$ $415347262217633599232598201881168952868475859796895599689107591096040789200^{2} \, - \, $$5119$$ \, \cdot \, 5805221397505373833151811930251467257569851568099381397910630158336152961^{2} = 1$
$5122$ $2436998275396099$ $34051436258430$ $2436998275396099^{2} \, - \, $$5122$$ \, \cdot \, 34051436258430^{2} = 1$
$5123$ $2551582$ $35649$ $2551582^{2} \, - \, $$5123$$ \, \cdot \, 35649^{2} = 1$
$5126$ $1502529847005126565$ $20986199974649418$ $1502529847005126565^{2} \, - \, $$5126$$ \, \cdot \, 20986199974649418^{2} = 1$
$5127$ $764835648724$ $10681603755$ $764835648724^{2} \, - \, $$5127$$ \, \cdot \, 10681603755^{2} = 1$
$5129$ $16582631468320027306289375$ $231545902268859045185784$ $16582631468320027306289375^{2} \, - \, $$5129$$ \, \cdot \, 231545902268859045185784^{2} = 1$
$5131$ $256076101574$ $3574934115$ $256076101574^{2} \, - \, $$5131$$ \, \cdot \, 3574934115^{2} = 1$
$5133$ $34103$ $476$ $34103^{2} \, - \, $$5133$$ \, \cdot \, 476^{2} = 1$
$5134$ $43821803460545$ $611592730344$ $43821803460545^{2} \, - \, $$5134$$ \, \cdot \, 611592730344^{2} = 1$
$5135$ $9244$ $129$ $9244^{2} \, - \, $$5135$$ \, \cdot \, 129^{2} = 1$
$5137$ $2839529371606495836951232258927703$ $39617911950120720942615939154572$ $2839529371606495836951232258927703^{2} \, - \, $$5137$$ \, \cdot \, 39617911950120720942615939154572^{2} = 1$
$5138$ $458751$ $6400$ $458751^{2} \, - \, $$5138$$ \, \cdot \, 6400^{2} = 1$
$5141$ $11017211429385$ $153655419292$ $11017211429385^{2} \, - \, $$5141$$ \, \cdot \, 153655419292^{2} = 1$
$5142$ $59777768839745477$ $833630633174378$ $59777768839745477^{2} \, - \, $$5142$$ \, \cdot \, 833630633174378^{2} = 1$
$5143$ $3599399820583$ $50190535404$ $3599399820583^{2} \, - \, $$5143$$ \, \cdot \, 50190535404^{2} = 1$
$5146$ $5900885732651586303987717649669549$ $82258789436314903253370665291730$ $5900885732651586303987717649669549^{2} \, - \, $$5146$$ \, \cdot \, 82258789436314903253370665291730^{2} = 1$
$5147$ $902631173379035417132292802$ $12581523819763677714689493$ $902631173379035417132292802^{2} \, - \, $$5147$$ \, \cdot \, 12581523819763677714689493^{2} = 1$
$5149$ $4605983308186086989308261693896604874186856077477681452568257672675658551$ $64189044930448169148207289874159047882295753781953697592126773902566020$ $4605983308186086989308261693896604874186856077477681452568257672675658551^{2} \, - \, $$5149$$ \, \cdot \, 64189044930448169148207289874159047882295753781953697592126773902566020^{2} = 1$
$5151$ $1139570980$ $15877993$ $1139570980^{2} \, - \, $$5151$$ \, \cdot \, 15877993^{2} = 1$
$5153$ $142625980473021950322730832502698261764918950383639073$ $1986865971250732300394127666016328795943901518594824$ $142625980473021950322730832502698261764918950383639073^{2} \, - \, $$5153$$ \, \cdot \, 1986865971250732300394127666016328795943901518594824^{2} = 1$
$5154$ $122946469179389460545$ $1712552341576294216$ $122946469179389460545^{2} \, - \, $$5154$$ \, \cdot \, 1712552341576294216^{2} = 1$
$5155$ $5603349209359682740409$ $78042891987194355276$ $5603349209359682740409^{2} \, - \, $$5155$$ \, \cdot \, 78042891987194355276^{2} = 1$
$5158$ $2560970713110388546491618966610348517$ $35658571658545623784130850811035894$ $2560970713110388546491618966610348517^{2} \, - \, $$5158$$ \, \cdot \, 35658571658545623784130850811035894^{2} = 1$
$5159$ $779745$ $10856$ $779745^{2} \, - \, $$5159$$ \, \cdot \, 10856^{2} = 1$
$5161$ $5321752032855853380512721531189757221714766413759004801$ $74077736756528035981034883356885714993421260421808560$ $5321752032855853380512721531189757221714766413759004801^{2} \, - \, $$5161$$ \, \cdot \, 74077736756528035981034883356885714993421260421808560^{2} = 1$
$5162$ $74590899$ $1038190$ $74590899^{2} \, - \, $$5162$$ \, \cdot \, 1038190^{2} = 1$
$5163$ $810466267082$ $11279345011$ $810466267082^{2} \, - \, $$5163$$ \, \cdot \, 11279345011^{2} = 1$
$5165$ $1526989391588237794569$ $21247158466233968788$ $1526989391588237794569^{2} \, - \, $$5165$$ \, \cdot \, 21247158466233968788^{2} = 1$
$5167$ $4906404025889969135442117211754180048$ $68256509766200193631655372364432903$ $4906404025889969135442117211754180048^{2} \, - \, $$5167$$ \, \cdot \, 68256509766200193631655372364432903^{2} = 1$
$5169$ $395764212679075858964248421054935$ $5504694913756459318822537963564$ $395764212679075858964248421054935^{2} \, - \, $$5169$$ \, \cdot \, 5504694913756459318822537963564^{2} = 1$
$5170$ $979648700318749$ $13624641858450$ $979648700318749^{2} \, - \, $$5170$$ \, \cdot \, 13624641858450^{2} = 1$
$5171$ $1573812626231986237789852031090$ $21885967819771821164929308537$ $1573812626231986237789852031090^{2} \, - \, $$5171$$ \, \cdot \, 21885967819771821164929308537^{2} = 1$
$5173$ $300122999870033778856393837590759585313158751$ $4172804514488935578758979331205592540773400$ $300122999870033778856393837590759585313158751^{2} \, - \, $$5173$$ \, \cdot \, 4172804514488935578758979331205592540773400^{2} = 1$
$5174$ $1942760186817969999$ $27008843143323700$ $1942760186817969999^{2} \, - \, $$5174$$ \, \cdot \, 27008843143323700^{2} = 1$
$5177$ $11328787639860825777718751$ $157450612146847256079000$ $11328787639860825777718751^{2} \, - \, $$5177$$ \, \cdot \, 157450612146847256079000^{2} = 1$
$5178$ $1727$ $24$ $1727^{2} \, - \, $$5178$$ \, \cdot \, 24^{2} = 1$
$5179$ $8024476552777067930775462038789750348745091724190412130$ $111504849763452950249246090018358673039757955145589541$ $8024476552777067930775462038789750348745091724190412130^{2} \, - \, $$5179$$ \, \cdot \, 111504849763452950249246090018358673039757955145589541^{2} = 1$
$5181$ $3455$ $48$ $3455^{2} \, - \, $$5181$$ \, \cdot \, 48^{2} = 1$
$5182$ $5183$ $72$ $5183^{2} \, - \, $$5182$$ \, \cdot \, 72^{2} = 1$
$5183$ $72$ $1$ $72^{2} \, - \, $$5183$$ \, \cdot \, 1^{2} = 1$
$5185$ $10369$ $144$ $10369^{2} \, - \, $$5185$$ \, \cdot \, 144^{2} = 1$
$5186$ $5185$ $72$ $5185^{2} \, - \, $$5186$$ \, \cdot \, 72^{2} = 1$
$5187$ $3457$ $48$ $3457^{2} \, - \, $$5187$$ \, \cdot \, 48^{2} = 1$
$5189$ $35372805334174341167659987836596971525553616745266311049$ $491052208605454302543738589300944835119030975571939940$ $35372805334174341167659987836596971525553616745266311049^{2} \, - \, $$5189$$ \, \cdot \, 491052208605454302543738589300944835119030975571939940^{2} = 1$
$5190$ $1729$ $24$ $1729^{2} \, - \, $$5190$$ \, \cdot \, 24^{2} = 1$
$5191$ $110594345541816487236968608120621799$ $1534996567020063324809597638753020$ $110594345541816487236968608120621799^{2} \, - \, $$5191$$ \, \cdot \, 1534996567020063324809597638753020^{2} = 1$
$5195$ $10736772818559$ $148963884208$ $10736772818559^{2} \, - \, $$5195$$ \, \cdot \, 148963884208^{2} = 1$
$5197$ $10464734044755643374881353$ $145161630290165563098492$ $10464734044755643374881353^{2} \, - \, $$5197$$ \, \cdot \, 145161630290165563098492^{2} = 1$
$5198$ $392261710863$ $5440737596$ $392261710863^{2} \, - \, $$5198$$ \, \cdot \, 5440737596^{2} = 1$
$5199$ $495388394320324$ $6870461641505$ $495388394320324^{2} \, - \, $$5199$$ \, \cdot \, 6870461641505^{2} = 1$
$5201$ $1709533232800506301208536466924415$ $23704681305491420878092229667632$ $1709533232800506301208536466924415^{2} \, - \, $$5201$$ \, \cdot \, 23704681305491420878092229667632^{2} = 1$
$5205$ $66352814172161$ $919705915968$ $66352814172161^{2} \, - \, $$5205$$ \, \cdot \, 919705915968^{2} = 1$
$5206$ $58323505380785$ $808335284148$ $58323505380785^{2} \, - \, $$5206$$ \, \cdot \, 808335284148^{2} = 1$
$5207$ $158751$ $2200$ $158751^{2} \, - \, $$5207$$ \, \cdot \, 2200^{2} = 1$
$5209$ $2955610046581729929607660611707817279163611335775025080970135113601811951719514725940456860894130046473211424801$ $40951513331334705594468902633951674893319364513532578841999988935024470577074531707398081308337724158309918120$ $2955610046581729929607660611707817279163611335775025080970135113601811951719514725940456860894130046473211424801^{2} \, - \, $$5209$$ \, \cdot \, 40951513331334705594468902633951674893319364513532578841999988935024470577074531707398081308337724158309918120^{2} = 1$
$5210$ $38772819$ $537166$ $38772819^{2} \, - \, $$5210$$ \, \cdot \, 537166^{2} = 1$
$5213$ $1106708410808649$ $15328136106020$ $1106708410808649^{2} \, - \, $$5213$$ \, \cdot \, 15328136106020^{2} = 1$
$5214$ $446906635$ $6189154$ $446906635^{2} \, - \, $$5214$$ \, \cdot \, 6189154^{2} = 1$
$5215$ $12338182352231$ $170853558348$ $12338182352231^{2} \, - \, $$5215$$ \, \cdot \, 170853558348^{2} = 1$
$5217$ $571165151$ $7907720$ $571165151^{2} \, - \, $$5217$$ \, \cdot \, 7907720^{2} = 1$
$5218$ $500384990221165763$ $6927112430921826$ $500384990221165763^{2} \, - \, $$5218$$ \, \cdot \, 6927112430921826^{2} = 1$
$5219$ $9825$ $136$ $9825^{2} \, - \, $$5219$$ \, \cdot \, 136^{2} = 1$
$5221$ $49202768066425270007620875286269549469786483895$ $680946025776470511660809587339602101437915188$ $49202768066425270007620875286269549469786483895^{2} \, - \, $$5221$$ \, \cdot \, 680946025776470511660809587339602101437915188^{2} = 1$
$5222$ $599718351$ $8299060$ $599718351^{2} \, - \, $$5222$$ \, \cdot \, 8299060^{2} = 1$
$5223$ $62324256158907288487$ $862376852694791596$ $62324256158907288487^{2} \, - \, $$5223$$ \, \cdot \, 862376852694791596^{2} = 1$
$5226$ $4272683860301$ $59103888910$ $4272683860301^{2} \, - \, $$5226$$ \, \cdot \, 59103888910^{2} = 1$
$5227$ $9683010307384024769296301997855230328026$ $133931935213815637500312521806479089805$ $9683010307384024769296301997855230328026^{2} \, - \, $$5227$$ \, \cdot \, 133931935213815637500312521806479089805^{2} = 1$
$5230$ $9616924921964234429410388494091$ $132979709887696141961579032806$ $9616924921964234429410388494091^{2} \, - \, $$5230$$ \, \cdot \, 132979709887696141961579032806^{2} = 1$
$5231$ $49511532302240969215247520$ $684563922149752195224473$ $49511532302240969215247520^{2} \, - \, $$5231$$ \, \cdot \, 684563922149752195224473^{2} = 1$
$5233$ $8619100126891591924861508698854919033560420857526103443771442288371354571254913$ $119147945614993258159578754187281207492675694814946344181919042556965521026864$ $8619100126891591924861508698854919033560420857526103443771442288371354571254913^{2} \, - \, $$5233$$ \, \cdot \, 119147945614993258159578754187281207492675694814946344181919042556965521026864^{2} = 1$
$5234$ $186935227316451$ $2583891607090$ $186935227316451^{2} \, - \, $$5234$$ \, \cdot \, 2583891607090^{2} = 1$
$5235$ $201721$ $2788$ $201721^{2} \, - \, $$5235$$ \, \cdot \, 2788^{2} = 1$
$5237$ $1143115500222153$ $15796061891828$ $1143115500222153^{2} \, - \, $$5237$$ \, \cdot \, 15796061891828^{2} = 1$
$5241$ $5045335$ $69692$ $5045335^{2} \, - \, $$5241$$ \, \cdot \, 69692^{2} = 1$
$5242$ $159420428301293245552154879198899$ $2201889209985356877411634888710$ $159420428301293245552154879198899^{2} \, - \, $$5242$$ \, \cdot \, 2201889209985356877411634888710^{2} = 1$
$5245$ $11280620809$ $155761548$ $11280620809^{2} \, - \, $$5245$$ \, \cdot \, 155761548^{2} = 1$
$5246$ $1811164299$ $25005970$ $1811164299^{2} \, - \, $$5246$$ \, \cdot \, 25005970^{2} = 1$
$5249$ $1449$ $20$ $1449^{2} \, - \, $$5249$$ \, \cdot \, 20^{2} = 1$
$5251$ $415505666444226883908730439569120303010$ $5733976935455543959932119220342209793$ $415505666444226883908730439569120303010^{2} \, - \, $$5251$$ \, \cdot \, 5733976935455543959932119220342209793^{2} = 1$
$5253$ $25700004644599$ $354592463940$ $25700004644599^{2} \, - \, $$5253$$ \, \cdot \, 354592463940^{2} = 1$
$5254$ $197660437630361103927723538751$ $2726934574643540639107434600$ $197660437630361103927723538751^{2} \, - \, $$5254$$ \, \cdot \, 2726934574643540639107434600^{2} = 1$
$5255$ $8409$ $116$ $8409^{2} \, - \, $$5255$$ \, \cdot \, 116^{2} = 1$
$5257$ $5202834433488422124710158710909699967$ $71758114263000605546372872699578672$ $5202834433488422124710158710909699967^{2} \, - \, $$5257$$ \, \cdot \, 71758114263000605546372872699578672^{2} = 1$
$5258$ $12820935599$ $176811060$ $12820935599^{2} \, - \, $$5258$$ \, \cdot \, 176811060^{2} = 1$
$5259$ $22818217250$ $314651731$ $22818217250^{2} \, - \, $$5259$$ \, \cdot \, 314651731^{2} = 1$
$5261$ $551784201$ $7607380$ $551784201^{2} \, - \, $$5261$$ \, \cdot \, 7607380^{2} = 1$
$5262$ $432334414555349$ $5959974280670$ $432334414555349^{2} \, - \, $$5262$$ \, \cdot \, 5959974280670^{2} = 1$
$5263$ $67033$ $924$ $67033^{2} \, - \, $$5263$$ \, \cdot \, 924^{2} = 1$
$5266$ $54222538051$ $747204390$ $54222538051^{2} \, - \, $$5266$$ \, \cdot \, 747204390^{2} = 1$
$5267$ $110612726$ $1524135$ $110612726^{2} \, - \, $$5267$$ \, \cdot \, 1524135^{2} = 1$
$5269$ $859041497951$ $11834503560$ $859041497951^{2} \, - \, $$5269$$ \, \cdot \, 11834503560^{2} = 1$
$5270$ $424389$ $5846$ $424389^{2} \, - \, $$5270$$ \, \cdot \, 5846^{2} = 1$
$5271$ $43924$ $605$ $43924^{2} \, - \, $$5271$$ \, \cdot \, 605^{2} = 1$
$5273$ $1782273$ $24544$ $1782273^{2} \, - \, $$5273$$ \, \cdot \, 24544^{2} = 1$
$5277$ $689527$ $9492$ $689527^{2} \, - \, $$5277$$ \, \cdot \, 9492^{2} = 1$
$5278$ $24464846251$ $336750150$ $24464846251^{2} \, - \, $$5278$$ \, \cdot \, 336750150^{2} = 1$
$5279$ $110497689076870567711671358898512285785120$ $1520818421263497481477711067615571301841$ $110497689076870567711671358898512285785120^{2} \, - \, $$5279$$ \, \cdot \, 1520818421263497481477711067615571301841^{2} = 1$
$5281$ $7630352286649386867521564485831201$ $104999324637259163134994893238520$ $7630352286649386867521564485831201^{2} \, - \, $$5281$$ \, \cdot \, 104999324637259163134994893238520^{2} = 1$
$5282$ $19695315601$ $270996540$ $19695315601^{2} \, - \, $$5282$$ \, \cdot \, 270996540^{2} = 1$
$5285$ $8307279893431$ $114271084044$ $8307279893431^{2} \, - \, $$5285$$ \, \cdot \, 114271084044^{2} = 1$
$5286$ $418465136481618658085$ $5755667565799353222$ $418465136481618658085^{2} \, - \, $$5286$$ \, \cdot \, 5755667565799353222^{2} = 1$
$5287$ $2402971170290321650191224$ $33047902841336393406195$ $2402971170290321650191224^{2} \, - \, $$5287$$ \, \cdot \, 33047902841336393406195^{2} = 1$
$5289$ $22188748434568636220695$ $305102680270337373204$ $22188748434568636220695^{2} \, - \, $$5289$$ \, \cdot \, 305102680270337373204^{2} = 1$
$5291$ $65154374$ $895725$ $65154374^{2} \, - \, $$5291$$ \, \cdot \, 895725^{2} = 1$
$5293$ $17415776865457731932913030404087363362399$ $239382228019373872451980690151646142920$ $17415776865457731932913030404087363362399^{2} \, - \, $$5293$$ \, \cdot \, 239382228019373872451980690151646142920^{2} = 1$
$5294$ $5364361680452448431387003510773070705295$ $73726918600939874004977993139604382036$ $5364361680452448431387003510773070705295^{2} \, - \, $$5294$$ \, \cdot \, 73726918600939874004977993139604382036^{2} = 1$
$5295$ $57330376$ $787865$ $57330376^{2} \, - \, $$5295$$ \, \cdot \, 787865^{2} = 1$
$5297$ $17808513$ $244688$ $17808513^{2} \, - \, $$5297$$ \, \cdot \, 244688^{2} = 1$
$5298$ $160672705601$ $2207425880$ $160672705601^{2} \, - \, $$5298$$ \, \cdot \, 2207425880^{2} = 1$
$5299$ $87471812996966102707195705$ $1201631123062198611294924$ $87471812996966102707195705^{2} \, - \, $$5299$$ \, \cdot \, 1201631123062198611294924^{2} = 1$
$5302$ $3865157$ $53082$ $3865157^{2} \, - \, $$5302$$ \, \cdot \, 53082^{2} = 1$
$5303$ $11103469128$ $152474731$ $11103469128^{2} \, - \, $$5303$$ \, \cdot \, 152474731^{2} = 1$
$5305$ $418041734689$ $5739538152$ $418041734689^{2} \, - \, $$5305$$ \, \cdot \, 5739538152^{2} = 1$
$5306$ $3161245692459916335$ $43398490874629748$ $3161245692459916335^{2} \, - \, $$5306$$ \, \cdot \, 43398490874629748^{2} = 1$
$5307$ $295508462$ $4056443$ $295508462^{2} \, - \, $$5307$$ \, \cdot \, 4056443^{2} = 1$
$5309$ $101053895049$ $1386904940$ $101053895049^{2} \, - \, $$5309$$ \, \cdot \, 1386904940^{2} = 1$
$5311$ $2489970049255953825777440$ $34166931146854815833697$ $2489970049255953825777440^{2} \, - \, $$5311$$ \, \cdot \, 34166931146854815833697^{2} = 1$
$5313$ $12156649$ $166780$ $12156649^{2} \, - \, $$5313$$ \, \cdot \, 166780^{2} = 1$
$5314$ $2654014353867326465$ $36407636991964896$ $2654014353867326465^{2} \, - \, $$5314$$ \, \cdot \, 36407636991964896^{2} = 1$
$5315$ $18105153126$ $248342225$ $18105153126^{2} \, - \, $$5315$$ \, \cdot \, 248342225^{2} = 1$
$5317$ $114699624807122003388143912914615438911560989515640747849$ $1572999799004664503820318654592114917447142074984700020$ $114699624807122003388143912914615438911560989515640747849^{2} \, - \, $$5317$$ \, \cdot \, 1572999799004664503820318654592114917447142074984700020^{2} = 1$
$5318$ $296243537777108101$ $4062325500049470$ $296243537777108101^{2} \, - \, $$5318$$ \, \cdot \, 4062325500049470^{2} = 1$
$5321$ $25463151695219936247242919873014049$ $349072412803599500387349112587080$ $25463151695219936247242919873014049^{2} \, - \, $$5321$$ \, \cdot \, 349072412803599500387349112587080^{2} = 1$
$5322$ $1668788373390527$ $22875143661032$ $1668788373390527^{2} \, - \, $$5322$$ \, \cdot \, 22875143661032^{2} = 1$
$5323$ $27051595898643169137889082$ $370778598174271836164349$ $27051595898643169137889082^{2} \, - \, $$5323$$ \, \cdot \, 370778598174271836164349^{2} = 1$
$5326$ $107228825486500840457129073738513668455784679714723215$ $1469301655708070109517793433835016740169781978950868$ $107228825486500840457129073738513668455784679714723215^{2} \, - \, $$5326$$ \, \cdot \, 1469301655708070109517793433835016740169781978950868^{2} = 1$
$5327$ $5328$ $73$ $5328^{2} \, - \, $$5327$$ \, \cdot \, 73^{2} = 1$
$5330$ $10659$ $146$ $10659^{2} \, - \, $$5330$$ \, \cdot \, 146^{2} = 1$
$5331$ $5330$ $73$ $5330^{2} \, - \, $$5331$$ \, \cdot \, 73^{2} = 1$
$5333$ $75752331849$ $1037313940$ $75752331849^{2} \, - \, $$5333$$ \, \cdot \, 1037313940^{2} = 1$
$5334$ $1275553201$ $17465140$ $1275553201^{2} \, - \, $$5334$$ \, \cdot \, 17465140^{2} = 1$
$5335$ $851138997479$ $11652880092$ $851138997479^{2} \, - \, $$5335$$ \, \cdot \, 11652880092^{2} = 1$
$5338$ $747607001651$ $10232554710$ $747607001651^{2} \, - \, $$5338$$ \, \cdot \, 10232554710^{2} = 1$
$5339$ $192758138555036210$ $2638048424572971$ $192758138555036210^{2} \, - \, $$5339$$ \, \cdot \, 2638048424572971^{2} = 1$
$5342$ $15375518538527295160959999$ $210367104531043754976800$ $15375518538527295160959999^{2} \, - \, $$5342$$ \, \cdot \, 210367104531043754976800^{2} = 1$
$5343$ $3820792$ $52271$ $3820792^{2} \, - \, $$5343$$ \, \cdot \, 52271^{2} = 1$
$5345$ $2402666289001$ $32863937820$ $2402666289001^{2} \, - \, $$5345$$ \, \cdot \, 32863937820^{2} = 1$
$5347$ $160142033921501859640374437941992150626$ $2190030927742561728221933414586389775$ $160142033921501859640374437941992150626^{2} \, - \, $$5347$$ \, \cdot \, 2190030927742561728221933414586389775^{2} = 1$
$5349$ $12258596652569884920703642271994274751167755895$ $167611748516823846508189641747131204813647524$ $12258596652569884920703642271994274751167755895^{2} \, - \, $$5349$$ \, \cdot \, 167611748516823846508189641747131204813647524^{2} = 1$
$5351$ $549498245443328775391560$ $7511883337827100738643$ $549498245443328775391560^{2} \, - \, $$5351$$ \, \cdot \, 7511883337827100738643^{2} = 1$
$5353$ $219212041249$ $2996165400$ $219212041249^{2} \, - \, $$5353$$ \, \cdot \, 2996165400^{2} = 1$
$5354$ $347702750967232237299$ $4751918060929191010$ $347702750967232237299^{2} \, - \, $$5354$$ \, \cdot \, 4751918060929191010^{2} = 1$
$5357$ $1480320820139316299465399$ $20225302421553460046340$ $1480320820139316299465399^{2} \, - \, $$5357$$ \, \cdot \, 20225302421553460046340^{2} = 1$
$5358$ $44651$ $610$ $44651^{2} \, - \, $$5358$$ \, \cdot \, 610^{2} = 1$
$5359$ $446107537641447935$ $6093933109170144$ $446107537641447935^{2} \, - \, $$5359$$ \, \cdot \, 6093933109170144^{2} = 1$
$5361$ $85826409812559761115141920536935575$ $1172190081858944379718522581181372$ $85826409812559761115141920536935575^{2} \, - \, $$5361$$ \, \cdot \, 1172190081858944379718522581181372^{2} = 1$
$5362$ $16471820413$ $224945958$ $16471820413^{2} \, - \, $$5362$$ \, \cdot \, 224945958^{2} = 1$
$5363$ $333364633599$ $4552140160$ $333364633599^{2} \, - \, $$5363$$ \, \cdot \, 4552140160^{2} = 1$
$5365$ $5823166502783880994249$ $79501321000641358260$ $5823166502783880994249^{2} \, - \, $$5365$$ \, \cdot \, 79501321000641358260^{2} = 1$
$5366$ $40778074175477742050768429156401628645$ $556674563622199817061857451649005858$ $40778074175477742050768429156401628645^{2} \, - \, $$5366$$ \, \cdot \, 556674563622199817061857451649005858^{2} = 1$
$5367$ $5807365927$ $79270828$ $5807365927^{2} \, - \, $$5367$$ \, \cdot \, 79270828^{2} = 1$
$5369$ $99945$ $1364$ $99945^{2} \, - \, $$5369$$ \, \cdot \, 1364^{2} = 1$
$5370$ $6967984909$ $95086762$ $6967984909^{2} \, - \, $$5370$$ \, \cdot \, 95086762^{2} = 1$
$5371$ $402165415912907690$ $5487532996435413$ $402165415912907690^{2} \, - \, $$5371$$ \, \cdot \, 5487532996435413^{2} = 1$
$5374$ $7718455635425517995385384679124062066183699891775$ $105288655805437814478994643768356769564119052376$ $7718455635425517995385384679124062066183699891775^{2} \, - \, $$5374$$ \, \cdot \, 105288655805437814478994643768356769564119052376^{2} = 1$
$5377$ $393013872379509752572144160198157984147941143$ $5359667671190875748846958838278816033025668$ $393013872379509752572144160198157984147941143^{2} \, - \, $$5377$$ \, \cdot \, 5359667671190875748846958838278816033025668^{2} = 1$
$5378$ $48401$ $660$ $48401^{2} \, - \, $$5378$$ \, \cdot \, 660^{2} = 1$
$5379$ $8801$ $120$ $8801^{2} \, - \, $$5379$$ \, \cdot \, 120^{2} = 1$
$5381$ $610455035990757105993083534637062692873610712718231493990711049$ $8321894098331594855045953267932781924022411692894530936316220$ $610455035990757105993083534637062692873610712718231493990711049^{2} \, - \, $$5381$$ \, \cdot \, 8321894098331594855045953267932781924022411692894530936316220^{2} = 1$
$5383$ $57108248$ $778371$ $57108248^{2} \, - \, $$5383$$ \, \cdot \, 778371^{2} = 1$
$5385$ $3399181088296331999$ $46321375592426440$ $3399181088296331999^{2} \, - \, $$5385$$ \, \cdot \, 46321375592426440^{2} = 1$
$5386$ $64353506091435516767157911988119185038857072726369299$ $876877725956887318567248645385744909538949050903430$ $64353506091435516767157911988119185038857072726369299^{2} \, - \, $$5386$$ \, \cdot \, 876877725956887318567248645385744909538949050903430^{2} = 1$
$5387$ $28579981514710202$ $389393283069213$ $28579981514710202^{2} \, - \, $$5387$$ \, \cdot \, 389393283069213^{2} = 1$
$5389$ $122870506958653470766976111645993256105826249$ $1673761439880715598154891768222736693926300$ $122870506958653470766976111645993256105826249^{2} \, - \, $$5389$$ \, \cdot \, 1673761439880715598154891768222736693926300^{2} = 1$
$5393$ $460381681953508864755188247605027318913$ $6269065754965265207464307751104331824$ $460381681953508864755188247605027318913^{2} \, - \, $$5393$$ \, \cdot \, 6269065754965265207464307751104331824^{2} = 1$
$5394$ $26720759464445$ $363825660586$ $26720759464445^{2} \, - \, $$5394$$ \, \cdot \, 363825660586^{2} = 1$
$5395$ $401291561386$ $5463416409$ $401291561386^{2} \, - \, $$5395$$ \, \cdot \, 5463416409^{2} = 1$
$5397$ $2057$ $28$ $2057^{2} \, - \, $$5397$$ \, \cdot \, 28^{2} = 1$
$5398$ $1666799908594013681331018290146762414550552379646277$ $22686475362507486704600538734311458284786690876406$ $1666799908594013681331018290146762414550552379646277^{2} \, - \, $$5398$$ \, \cdot \, 22686475362507486704600538734311458284786690876406^{2} = 1$
$5399$ $498093452812553502542481345012076015320$ $6778821051076189850936016022869626501$ $498093452812553502542481345012076015320^{2} \, - \, $$5399$$ \, \cdot \, 6778821051076189850936016022869626501^{2} = 1$
$5401$ $5061418407623774587880288022711478836004653309746762262551$ $68870803776749568870423476693520129563719312799716378740$ $5061418407623774587880288022711478836004653309746762262551^{2} \, - \, $$5401$$ \, \cdot \, 68870803776749568870423476693520129563719312799716378740^{2} = 1$
$5402$ $147$ $2$ $147^{2} \, - \, $$5402$$ \, \cdot \, 2^{2} = 1$
$5403$ $14407$ $196$ $14407^{2} \, - \, $$5403$$ \, \cdot \, 196^{2} = 1$
$5405$ $244695715161907841$ $3328346368717776$ $244695715161907841^{2} \, - \, $$5405$$ \, \cdot \, 3328346368717776^{2} = 1$
$5406$ $260535166475$ $3543466498$ $260535166475^{2} \, - \, $$5406$$ \, \cdot \, 3543466498^{2} = 1$
$5407$ $189567313470304428303163377923920138078928$ $2578013994562177676493904138583524429713$ $189567313470304428303163377923920138078928^{2} \, - \, $$5407$$ \, \cdot \, 2578013994562177676493904138583524429713^{2} = 1$
$5410$ $35513907305435445040579$ $482836201067012577342$ $35513907305435445040579^{2} \, - \, $$5410$$ \, \cdot \, 482836201067012577342^{2} = 1$
$5411$ $79068647673126$ $1074893765825$ $79068647673126^{2} \, - \, $$5411$$ \, \cdot \, 1074893765825^{2} = 1$
$5413$ $493953742477024478845545393916164930188537749893400483396748618022781861502737404892852549227403536649$ $6713782484269586058736380374598146531322215604815859517670005898531003884585500680535289896273353220$ $493953742477024478845545393916164930188537749893400483396748618022781861502737404892852549227403536649^{2} \, - \, $$5413$$ \, \cdot \, 6713782484269586058736380374598146531322215604815859517670005898531003884585500680535289896273353220^{2} = 1$
$5414$ $1300260519287857762881650245$ $17671411914246880975620546$ $1300260519287857762881650245^{2} \, - \, $$5414$$ \, \cdot \, 17671411914246880975620546^{2} = 1$
$5417$ $270849$ $3680$ $270849^{2} \, - \, $$5417$$ \, \cdot \, 3680^{2} = 1$
$5419$ $293166554294671821203642171041113953036476721092454192662056794450$ $3982491404261617651744533620178812737331331438243173859520432611$ $293166554294671821203642171041113953036476721092454192662056794450^{2} \, - \, $$5419$$ \, \cdot \, 3982491404261617651744533620178812737331331438243173859520432611^{2} = 1$
$5421$ $26472791305$ $359550612$ $26472791305^{2} \, - \, $$5421$$ \, \cdot \, 359550612^{2} = 1$
$5422$ $262417624453398572147098264229220624203085866240031503$ $3563799340112346333606505690397456062841164002608508$ $262417624453398572147098264229220624203085866240031503^{2} \, - \, $$5422$$ \, \cdot \, 3563799340112346333606505690397456062841164002608508^{2} = 1$
$5423$ $2872$ $39$ $2872^{2} \, - \, $$5423$$ \, \cdot \, 39^{2} = 1$
$5426$ $43987289706954051$ $597155324302090$ $43987289706954051^{2} \, - \, $$5426$$ \, \cdot \, 597155324302090^{2} = 1$
$5429$ $4331588211939544679395674829449$ $58787804644458496693345486780$ $4331588211939544679395674829449^{2} \, - \, $$5429$$ \, \cdot \, 58787804644458496693345486780^{2} = 1$
$5430$ $8082011$ $109678$ $8082011^{2} \, - \, $$5430$$ \, \cdot \, 109678^{2} = 1$
$5431$ $3928205988642312440$ $53303331301361877$ $3928205988642312440^{2} \, - \, $$5431$$ \, \cdot \, 53303331301361877^{2} = 1$
$5433$ $58737107405005688400562244183$ $796879588320717743162345156$ $58737107405005688400562244183^{2} \, - \, $$5433$$ \, \cdot \, 796879588320717743162345156^{2} = 1$
$5434$ $160161299$ $2172690$ $160161299^{2} \, - \, $$5434$$ \, \cdot \, 2172690^{2} = 1$
$5435$ $3260612333406$ $44228213029$ $3260612333406^{2} \, - \, $$5435$$ \, \cdot \, 44228213029^{2} = 1$
$5437$ $18676649026412865848996021477340354922606918269890490567323319315159657600649$ $253290727313321290003781965730512025690555506122578300346354433494387517740$ $18676649026412865848996021477340354922606918269890490567323319315159657600649^{2} \, - \, $$5437$$ \, \cdot \, 253290727313321290003781965730512025690555506122578300346354433494387517740^{2} = 1$
$5438$ $71583879032211462399$ $970723686438854480$ $71583879032211462399^{2} \, - \, $$5438$$ \, \cdot \, 970723686438854480^{2} = 1$
$5441$ $284745469559747968078188219425546290661578969382646428537388807201$ $3860268029343541866722122834316751217505591343854067005646571720$ $284745469559747968078188219425546290661578969382646428537388807201^{2} \, - \, $$5441$$ \, \cdot \, 3860268029343541866722122834316751217505591343854067005646571720^{2} = 1$
$5442$ $69488897$ $941968$ $69488897^{2} \, - \, $$5442$$ \, \cdot \, 941968^{2} = 1$
$5443$ $6900195566373164706268747456995061742420585335915377378026$ $93528126002382423916493259114280483979177373717381292815$ $6900195566373164706268747456995061742420585335915377378026^{2} \, - \, $$5443$$ \, \cdot \, 93528126002382423916493259114280483979177373717381292815^{2} = 1$
$5446$ $442152013722987258428228327003455$ $5991461718288870697361139219288$ $442152013722987258428228327003455^{2} \, - \, $$5446$$ \, \cdot \, 5991461718288870697361139219288^{2} = 1$
$5447$ $20919833$ $283452$ $20919833^{2} \, - \, $$5447$$ \, \cdot \, 283452^{2} = 1$
$5449$ $146876921924309756629068956913478412272082585046338625494549164978406089936786570508474754587763061249$ $1989734629757051064873432484722152111513993133821301570343955510957355778918769429474356973929178400$ $146876921924309756629068956913478412272082585046338625494549164978406089936786570508474754587763061249^{2} \, - \, $$5449$$ \, \cdot \, 1989734629757051064873432484722152111513993133821301570343955510957355778918769429474356973929178400^{2} = 1$
$5451$ $397454926$ $5383315$ $397454926^{2} \, - \, $$5451$$ \, \cdot \, 5383315^{2} = 1$
$5453$ $18346824649$ $248452380$ $18346824649^{2} \, - \, $$5453$$ \, \cdot \, 248452380^{2} = 1$
$5455$ $13147016342922717891134489$ $178004026113890825446092$ $13147016342922717891134489^{2} \, - \, $$5455$$ \, \cdot \, 178004026113890825446092^{2} = 1$
$5457$ $2752405736965840001$ $37259367438993200$ $2752405736965840001^{2} \, - \, $$5457$$ \, \cdot \, 37259367438993200^{2} = 1$
$5458$ $68024565927402499$ $920765447181450$ $68024565927402499^{2} \, - \, $$5458$$ \, \cdot \, 920765447181450^{2} = 1$
$5459$ $366399808627665174$ $4959052328127865$ $366399808627665174^{2} \, - \, $$5459$$ \, \cdot \, 4959052328127865^{2} = 1$
$5461$ $11314511633642281304483575$ $153108649235038359143772$ $11314511633642281304483575^{2} \, - \, $$5461$$ \, \cdot \, 153108649235038359143772^{2} = 1$
$5462$ $1635014618278597$ $22123090301622$ $1635014618278597^{2} \, - \, $$5462$$ \, \cdot \, 22123090301622^{2} = 1$
$5465$ $35503515408527835479169$ $480259842439995385072$ $35503515408527835479169^{2} \, - \, $$5465$$ \, \cdot \, 480259842439995385072^{2} = 1$
$5466$ $88307499691199$ $1194435698440$ $88307499691199^{2} \, - \, $$5466$$ \, \cdot \, 1194435698440^{2} = 1$
$5467$ $108041977$ $1461228$ $108041977^{2} \, - \, $$5467$$ \, \cdot \, 1461228^{2} = 1$
$5469$ $361570338548937949932260268671848553784848213855$ $4889211608001211029263168805768392236892705064$ $361570338548937949932260268671848553784848213855^{2} \, - \, $$5469$$ \, \cdot \, 4889211608001211029263168805768392236892705064^{2} = 1$
$5470$ $512421435130816737172780811$ $6928410724711492293373026$ $512421435130816737172780811^{2} \, - \, $$5470$$ \, \cdot \, 6928410724711492293373026^{2} = 1$
$5471$ $675469514917880302197217492800$ $9132136533800778230791204913$ $675469514917880302197217492800^{2} \, - \, $$5471$$ \, \cdot \, 9132136533800778230791204913^{2} = 1$
$5473$ $56795772156936811541450800830905473$ $767720759407904972986389438554544$ $56795772156936811541450800830905473^{2} \, - \, $$5473$$ \, \cdot \, 767720759407904972986389438554544^{2} = 1$
$5474$ $5475$ $74$ $5475^{2} \, - \, $$5474$$ \, \cdot \, 74^{2} = 1$
$5477$ $10953$ $148$ $10953^{2} \, - \, $$5477$$ \, \cdot \, 148^{2} = 1$
$5478$ $5477$ $74$ $5477^{2} \, - \, $$5478$$ \, \cdot \, 74^{2} = 1$
$5479$ $526390466154859695340073420796013093718583953751080$ $7111436961396052976293895693534485050149827683309$ $526390466154859695340073420796013093718583953751080^{2} \, - \, $$5479$$ \, \cdot \, 7111436961396052976293895693534485050149827683309^{2} = 1$
$5482$ $54565573541904851124952590816898588856632086924120733363$ $736968981089015539488787004491307718345525444636823182$ $54565573541904851124952590816898588856632086924120733363^{2} \, - \, $$5482$$ \, \cdot \, 736968981089015539488787004491307718345525444636823182^{2} = 1$
$5483$ $345715993072535445388517906042$ $4668854586408706567119821619$ $345715993072535445388517906042^{2} \, - \, $$5483$$ \, \cdot \, 4668854586408706567119821619^{2} = 1$
$5485$ $21356863758940540884558590031679261669212252628906249$ $288369391645354940661915284147977490096607687307500$ $21356863758940540884558590031679261669212252628906249^{2} \, - \, $$5485$$ \, \cdot \, 288369391645354940661915284147977490096607687307500^{2} = 1$
$5486$ $1148957473301$ $15512294910$ $1148957473301^{2} \, - \, $$5486$$ \, \cdot \, 15512294910^{2} = 1$
$5487$ $56013124$ $756175$ $56013124^{2} \, - \, $$5487$$ \, \cdot \, 756175^{2} = 1$
$5489$ $4262830746154989860072895476523859799$ $57537564417239717993980743455357940$ $4262830746154989860072895476523859799^{2} \, - \, $$5489$$ \, \cdot \, 57537564417239717993980743455357940^{2} = 1$
$5493$ $158129779317946053751$ $2133579674150888700$ $158129779317946053751^{2} \, - \, $$5493$$ \, \cdot \, 2133579674150888700^{2} = 1$
$5494$ $11114999011187489620806245$ $149956432830085452487614$ $11114999011187489620806245^{2} \, - \, $$5494$$ \, \cdot \, 149956432830085452487614^{2} = 1$
$5495$ $1193984$ $16107$ $1193984^{2} \, - \, $$5495$$ \, \cdot \, 16107^{2} = 1$
$5497$ $43874274571487$ $591762009288$ $43874274571487^{2} \, - \, $$5497$$ \, \cdot \, 591762009288^{2} = 1$
$5498$ $7358555487201267603$ $99240787368147986$ $7358555487201267603^{2} \, - \, $$5498$$ \, \cdot \, 99240787368147986^{2} = 1$
$5501$ $25456243413969885641996822599285254471711338767622226249$ $343220715705478730488045133686919627206101238938403100$ $25456243413969885641996822599285254471711338767622226249^{2} \, - \, $$5501$$ \, \cdot \, 343220715705478730488045133686919627206101238938403100^{2} = 1$
$5502$ $2553713$ $34428$ $2553713^{2} \, - \, $$5502$$ \, \cdot \, 34428^{2} = 1$
$5503$ $7898745122746008128$ $106477622115097281$ $7898745122746008128^{2} \, - \, $$5503$$ \, \cdot \, 106477622115097281^{2} = 1$
$5505$ $308318331801641$ $4155475114676$ $308318331801641^{2} \, - \, $$5505$$ \, \cdot \, 4155475114676^{2} = 1$
$5506$ $970832733015866614735524216976835$ $13083571353272288491441330447698$ $970832733015866614735524216976835^{2} \, - \, $$5506$$ \, \cdot \, 13083571353272288491441330447698^{2} = 1$
$5507$ $156577045955626$ $2109942193425$ $156577045955626^{2} \, - \, $$5507$$ \, \cdot \, 2109942193425^{2} = 1$
$5509$ $4989836350885127415131900685323019803896336298371989663486602571526135$ $67227957420709426330845170846122865414974231090264675972389106248444$ $4989836350885127415131900685323019803896336298371989663486602571526135^{2} \, - \, $$5509$$ \, \cdot \, 67227957420709426330845170846122865414974231090264675972389106248444^{2} = 1$
$5510$ $4514779$ $60822$ $4514779^{2} \, - \, $$5510$$ \, \cdot \, 60822^{2} = 1$
$5511$ $5345$ $72$ $5345^{2} \, - \, $$5511$$ \, \cdot \, 72^{2} = 1$
$5513$ $297$ $4$ $297^{2} \, - \, $$5513$$ \, \cdot \, 4^{2} = 1$
$5514$ $551881765335938701$ $7432119156717710$ $551881765335938701^{2} \, - \, $$5514$$ \, \cdot \, 7432119156717710^{2} = 1$
$5515$ $7138991707669819223389893646$ $96131145879005295705064461$ $7138991707669819223389893646^{2} \, - \, $$5515$$ \, \cdot \, 96131145879005295705064461^{2} = 1$
$5518$ $13352668676847503$ $179753445975084$ $13352668676847503^{2} \, - \, $$5518$$ \, \cdot \, 179753445975084^{2} = 1$
$5519$ $19168673555322323674320$ $258025046108651774039$ $19168673555322323674320^{2} \, - \, $$5519$$ \, \cdot \, 258025046108651774039^{2} = 1$
$5521$ $197106601249$ $2652725400$ $197106601249^{2} \, - \, $$5521$$ \, \cdot \, 2652725400^{2} = 1$
$5522$ $193098817$ $2598552$ $193098817^{2} \, - \, $$5522$$ \, \cdot \, 2598552^{2} = 1$
$5523$ $73042726$ $982855$ $73042726^{2} \, - \, $$5523$$ \, \cdot \, 982855^{2} = 1$
$5527$ $22978618568$ $309085893$ $22978618568^{2} \, - \, $$5527$$ \, \cdot \, 309085893^{2} = 1$
$5529$ $722455$ $9716$ $722455^{2} \, - \, $$5529$$ \, \cdot \, 9716^{2} = 1$
$5530$ $3007651501$ $40445010$ $3007651501^{2} \, - \, $$5530$$ \, \cdot \, 40445010^{2} = 1$
$5531$ $764352339279432668588280497050$ $10277601389447120690342930373$ $764352339279432668588280497050^{2} \, - \, $$5531$$ \, \cdot \, 10277601389447120690342930373^{2} = 1$
$5533$ $88866918774855528393689688932017978751$ $1194702540781627328319405331695601200$ $88866918774855528393689688932017978751^{2} \, - \, $$5533$$ \, \cdot \, 1194702540781627328319405331695601200^{2} = 1$
$5534$ $407361929629808437236193376314520250781489215$ $5475967498248345568025942097141979293955256$ $407361929629808437236193376314520250781489215^{2} \, - \, $$5534$$ \, \cdot \, 5475967498248345568025942097141979293955256^{2} = 1$
$5538$ $16447036399$ $221009620$ $16447036399^{2} \, - \, $$5538$$ \, \cdot \, 221009620^{2} = 1$
$5539$ $29497307606246673262373582084950$ $396338895331527620542933937121$ $29497307606246673262373582084950^{2} \, - \, $$5539$$ \, \cdot \, 396338895331527620542933937121^{2} = 1$
$5541$ $1047045429593130823844821713036081014460741215$ $14066027117319311599131650869777116671053608$ $1047045429593130823844821713036081014460741215^{2} \, - \, $$5541$$ \, \cdot \, 14066027117319311599131650869777116671053608^{2} = 1$
$5542$ $448901$ $6030$ $448901^{2} \, - \, $$5542$$ \, \cdot \, 6030^{2} = 1$
$5543$ $70778568$ $950669$ $70778568^{2} \, - \, $$5543$$ \, \cdot \, 950669^{2} = 1$
$5545$ $396889406880931909249528609$ $5329895968585307711446008$ $396889406880931909249528609^{2} \, - \, $$5545$$ \, \cdot \, 5329895968585307711446008^{2} = 1$
$5546$ $2254040532575374015$ $30267168096267912$ $2254040532575374015^{2} \, - \, $$5546$$ \, \cdot \, 30267168096267912^{2} = 1$
$5549$ $11623179889902499436090271799$ $156033408976128628802555940$ $11623179889902499436090271799^{2} \, - \, $$5549$$ \, \cdot \, 156033408976128628802555940^{2} = 1$
$5551$ $787687896027824$ $10572277606215$ $787687896027824^{2} \, - \, $$5551$$ \, \cdot \, 10572277606215^{2} = 1$
$5554$ $112706021325771145124027299$ $1512321690807332368728990$ $112706021325771145124027299^{2} \, - \, $$5554$$ \, \cdot \, 1512321690807332368728990^{2} = 1$
$5555$ $559952889$ $7512932$ $559952889^{2} \, - \, $$5555$$ \, \cdot \, 7512932^{2} = 1$
$5557$ $1185766432033020071113$ $15906658353587128332$ $1185766432033020071113^{2} \, - \, $$5557$$ \, \cdot \, 15906658353587128332^{2} = 1$
$5558$ $20546789787$ $275603486$ $20546789787^{2} \, - \, $$5558$$ \, \cdot \, 275603486^{2} = 1$
$5559$ $11447952629824$ $153542810805$ $11447952629824^{2} \, - \, $$5559$$ \, \cdot \, 153542810805^{2} = 1$
$5561$ $4898828430789436921417317015$ $65692498846210708344935572$ $4898828430789436921417317015^{2} \, - \, $$5561$$ \, \cdot \, 65692498846210708344935572^{2} = 1$
$5563$ $754872955044816821026956620607612026$ $10120904715095345377391125223067285$ $754872955044816821026956620607612026^{2} \, - \, $$5563$$ \, \cdot \, 10120904715095345377391125223067285^{2} = 1$
$5565$ $25946999$ $347820$ $25946999^{2} \, - \, $$5565$$ \, \cdot \, 347820^{2} = 1$
$5567$ $28409765278882852$ $380765012136903$ $28409765278882852^{2} \, - \, $$5567$$ \, \cdot \, 380765012136903^{2} = 1$
$5569$ $6591450059025300914681684787847954962166454932674339475814229535996671608908999013096275084506638965295046149704068661249$ $88326771601508772626954394922319732333777270219153376084857500682988235868271326284606365830345258349968597387565446400$ $6591450059025300914681684787847954962166454932674339475814229535996671608908999013096275084506638965295046149704068661249^{2} \, - \, $$5569$$ \, \cdot \, 88326771601508772626954394922319732333777270219153376084857500682988235868271326284606365830345258349968597387565446400^{2} = 1$
$5570$ $381266499$ $5108590$ $381266499^{2} \, - \, $$5570$$ \, \cdot \, 5108590^{2} = 1$
$5573$ $64005850798566813989052910637354574168032649$ $857383562892715400841700666667125344859420$ $64005850798566813989052910637354574168032649^{2} \, - \, $$5573$$ \, \cdot \, 857383562892715400841700666667125344859420^{2} = 1$
$5574$ $2754026315353648092732839525$ $36887957049056409012398726$ $2754026315353648092732839525^{2} \, - \, $$5574$$ \, \cdot \, 36887957049056409012398726^{2} = 1$
$5578$ $31053863226675763$ $415792241096034$ $31053863226675763^{2} \, - \, $$5578$$ \, \cdot \, 415792241096034^{2} = 1$
$5579$ $1081708326$ $14482115$ $1081708326^{2} \, - \, $$5579$$ \, \cdot \, 14482115^{2} = 1$
$5581$ $5065413492004297293786670834239563360976354660700338075717614515045512437839424930580187005697127012583859257537495240624926470730836038037349449$ $67804558355933920050242671860286438602274953692771367876998863773967491275186751261118885324286697102666257050366348009171394559725797845518340$ $5065413492004297293786670834239563360976354660700338075717614515045512437839424930580187005697127012583859257537495240624926470730836038037349449^{2} \, - \, $$5581$$ \, \cdot \, 67804558355933920050242671860286438602274953692771367876998863773967491275186751261118885324286697102666257050366348009171394559725797845518340^{2} = 1$
$5582$ $38117478359520399$ $510186833315660$ $38117478359520399^{2} \, - \, $$5582$$ \, \cdot \, 510186833315660^{2} = 1$
$5583$ $418046122087$ $5594874964$ $418046122087^{2} \, - \, $$5583$$ \, \cdot \, 5594874964^{2} = 1$
$5585$ $1321690118165415969$ $17685528978947576$ $1321690118165415969^{2} \, - \, $$5585$$ \, \cdot \, 17685528978947576^{2} = 1$
$5587$ $54772775622820113770143$ $732783047746695609048$ $54772775622820113770143^{2} \, - \, $$5587$$ \, \cdot \, 732783047746695609048^{2} = 1$
$5590$ $119627795866879$ $1600022894736$ $119627795866879^{2} \, - \, $$5590$$ \, \cdot \, 1600022894736^{2} = 1$
$5591$ $1462601730507656363456667923376287880$ $19560562375460575141396896757986917$ $1462601730507656363456667923376287880^{2} \, - \, $$5591$$ \, \cdot \, 19560562375460575141396896757986917^{2} = 1$
$5593$ $104568128399441961620351$ $1398224556634080817680$ $104568128399441961620351^{2} \, - \, $$5593$$ \, \cdot \, 1398224556634080817680^{2} = 1$
$5594$ $81188962650736441520411656864543622451$ $1085514831032543692228324559931782890$ $81188962650736441520411656864543622451^{2} \, - \, $$5594$$ \, \cdot \, 1085514831032543692228324559931782890^{2} = 1$
$5595$ $374$ $5$ $374^{2} \, - \, $$5595$$ \, \cdot \, 5^{2} = 1$
$5597$ $197546274939444177471020115849$ $2640530518485808924245633580$ $197546274939444177471020115849^{2} \, - \, $$5597$$ \, \cdot \, 2640530518485808924245633580^{2} = 1$
$5599$ $701927142046697261522845799$ $9380733588665595338840460$ $701927142046697261522845799^{2} \, - \, $$5599$$ \, \cdot \, 9380733588665595338840460^{2} = 1$
$5601$ $644577202576478160873524448296264359874455$ $8612756221687191126731578287138097331932$ $644577202576478160873524448296264359874455^{2} \, - \, $$5601$$ \, \cdot \, 8612756221687191126731578287138097331932^{2} = 1$
$5602$ $2300420036626538137964739332963$ $30735167862569332666660803978$ $2300420036626538137964739332963^{2} \, - \, $$5602$$ \, \cdot \, 30735167862569332666660803978^{2} = 1$
$5603$ $5079545758$ $67860111$ $5079545758^{2} \, - \, $$5603$$ \, \cdot \, 67860111^{2} = 1$
$5605$ $708122249$ $9458460$ $708122249^{2} \, - \, $$5605$$ \, \cdot \, 9458460^{2} = 1$
$5606$ $514212384500286507175521925$ $6867773844817977840753198$ $514212384500286507175521925^{2} \, - \, $$5606$$ \, \cdot \, 6867773844817977840753198^{2} = 1$
$5609$ $34503139949041374916991355337951$ $460697546870097867015462165240$ $34503139949041374916991355337951^{2} \, - \, $$5609$$ \, \cdot \, 460697546870097867015462165240^{2} = 1$
$5610$ $749$ $10$ $749^{2} \, - \, $$5610$$ \, \cdot \, 10^{2} = 1$
$5611$ $11954870$ $159597$ $11954870^{2} \, - \, $$5611$$ \, \cdot \, 159597^{2} = 1$
$5613$ $3285359999$ $43851600$ $3285359999^{2} \, - \, $$5613$$ \, \cdot \, 43851600^{2} = 1$
$5614$ $217220095$ $2899104$ $217220095^{2} \, - \, $$5614$$ \, \cdot \, 2899104^{2} = 1$
$5615$ $1124$ $15$ $1124^{2} \, - \, $$5615$$ \, \cdot \, 15^{2} = 1$
$5617$ $4850228433448821988483711048628353$ $64715748908441007457852006831632$ $4850228433448821988483711048628353^{2} \, - \, $$5617$$ \, \cdot \, 64715748908441007457852006831632^{2} = 1$
$5619$ $1874$ $25$ $1874^{2} \, - \, $$5619$$ \, \cdot \, 25^{2} = 1$
$5621$ $210825$ $2812$ $210825^{2} \, - \, $$5621$$ \, \cdot \, 2812^{2} = 1$
$5622$ $3749$ $50$ $3749^{2} \, - \, $$5622$$ \, \cdot \, 50^{2} = 1$
$5623$ $5624$ $75$ $5624^{2} \, - \, $$5623$$ \, \cdot \, 75^{2} = 1$
$5626$ $11251$ $150$ $11251^{2} \, - \, $$5626$$ \, \cdot \, 150^{2} = 1$
$5627$ $5626$ $75$ $5626^{2} \, - \, $$5627$$ \, \cdot \, 75^{2} = 1$
$5629$ $89084205001$ $1187367300$ $89084205001^{2} \, - \, $$5629$$ \, \cdot \, 1187367300^{2} = 1$
$5630$ $2251$ $30$ $2251^{2} \, - \, $$5630$$ \, \cdot \, 30^{2} = 1$
$5631$ $1876$ $25$ $1876^{2} \, - \, $$5631$$ \, \cdot \, 25^{2} = 1$
$5633$ $940061094023762906903$ $12525244244591697276$ $940061094023762906903^{2} \, - \, $$5633$$ \, \cdot \, 12525244244591697276^{2} = 1$
$5637$ $3306453751$ $44039100$ $3306453751^{2} \, - \, $$5637$$ \, \cdot \, 44039100^{2} = 1$
$5638$ $49223519313936764507566558757$ $655556496081549780865645014$ $49223519313936764507566558757^{2} \, - \, $$5638$$ \, \cdot \, 655556496081549780865645014^{2} = 1$
$5639$ $21126568207172338316507842379026440$ $281337684552075384874727639717629$ $21126568207172338316507842379026440^{2} \, - \, $$5639$$ \, \cdot \, 281337684552075384874727639717629^{2} = 1$
$5641$ $256071032508491564035808258361846374219897955819175593680292288418846341476337680973997365145068466452379650049$ $3409434902626818837242169487276340229613334436977593588814848205156633222696119142368599318083144327829910080$ $256071032508491564035808258361846374219897955819175593680292288418846341476337680973997365145068466452379650049^{2} \, - \, $$5641$$ \, \cdot \, 3409434902626818837242169487276340229613334436977593588814848205156633222696119142368599318083144327829910080^{2} = 1$
$5642$ $35153$ $468$ $35153^{2} \, - \, $$5642$$ \, \cdot \, 468^{2} = 1$
$5645$ $715716001$ $9525960$ $715716001^{2} \, - \, $$5645$$ \, \cdot \, 9525960^{2} = 1$
$5646$ $22373020609416245490130429451$ $297751656150874747007283030$ $22373020609416245490130429451^{2} \, - \, $$5646$$ \, \cdot \, 297751656150874747007283030^{2} = 1$
$5647$ $160803931955739588085058387867222869328$ $2139871871414633316872320858392338967$ $160803931955739588085058387867222869328^{2} \, - \, $$5647$$ \, \cdot \, 2139871871414633316872320858392338967^{2} = 1$
$5649$ $2075890416744691049$ $27619679623124860$ $2075890416744691049^{2} \, - \, $$5649$$ \, \cdot \, 27619679623124860^{2} = 1$
$5651$ $204417754596201341555547940190163050$ $2719292719119900483034738653261657$ $204417754596201341555547940190163050^{2} \, - \, $$5651$$ \, \cdot \, 2719292719119900483034738653261657^{2} = 1$
$5653$ $170928970443811810639507332651317431111841167246888553338748434105066743434094048649$ $2273401718872542882573119947750534219558158531276926064926593655344234579889516220$ $170928970443811810639507332651317431111841167246888553338748434105066743434094048649^{2} \, - \, $$5653$$ \, \cdot \, 2273401718872542882573119947750534219558158531276926064926593655344234579889516220^{2} = 1$
$5654$ $61890225$ $823084$ $61890225^{2} \, - \, $$5654$$ \, \cdot \, 823084^{2} = 1$
$5655$ $376$ $5$ $376^{2} \, - \, $$5655$$ \, \cdot \, 5^{2} = 1$
$5657$ $3654037058517870044858129817538998280693001781249$ $48582499871858942111310973378223495257925408000$ $3654037058517870044858129817538998280693001781249^{2} \, - \, $$5657$$ \, \cdot \, 48582499871858942111310973378223495257925408000^{2} = 1$
$5658$ $1284836351$ $17081120$ $1284836351^{2} \, - \, $$5658$$ \, \cdot \, 17081120^{2} = 1$
$5659$ $195430123069935441719200549858692559056731268384069980207576996852450$ $2597895385741870018792296296718301901243349977367115813264986476181$ $195430123069935441719200549858692559056731268384069980207576996852450^{2} \, - \, $$5659$$ \, \cdot \, 2597895385741870018792296296718301901243349977367115813264986476181^{2} = 1$
$5662$ $860886329123265877$ $11440918154046138$ $860886329123265877^{2} \, - \, $$5662$$ \, \cdot \, 11440918154046138^{2} = 1$
$5663$ $25887$ $344$ $25887^{2} \, - \, $$5663$$ \, \cdot \, 344^{2} = 1$
$5665$ $807310860286717221492516119$ $10726075206922178472415548$ $807310860286717221492516119^{2} \, - \, $$5665$$ \, \cdot \, 10726075206922178472415548^{2} = 1$
$5666$ $685585$ $9108$ $685585^{2} \, - \, $$5666$$ \, \cdot \, 9108^{2} = 1$
$5667$ $67988742998673122$ $903151079855343$ $67988742998673122^{2} \, - \, $$5667$$ \, \cdot \, 903151079855343^{2} = 1$
$5669$ $2518790841304704513801$ $33453293205459345020$ $2518790841304704513801^{2} \, - \, $$5669$$ \, \cdot \, 33453293205459345020^{2} = 1$
$5671$ $481182877118361002618079248556436505$ $6389698126662041413583685136719612$ $481182877118361002618079248556436505^{2} \, - \, $$5671$$ \, \cdot \, 6389698126662041413583685136719612^{2} = 1$
$5673$ $4727212567$ $62762284$ $4727212567^{2} \, - \, $$5673$$ \, \cdot \, 62762284^{2} = 1$
$5674$ $177573059751417958277405072473751577247568753822573443794322614572046559699$ $2357395294559555937246567186099984205922292102743933811486840903245267130$ $177573059751417958277405072473751577247568753822573443794322614572046559699^{2} \, - \, $$5674$$ \, \cdot \, 2357395294559555937246567186099984205922292102743933811486840903245267130^{2} = 1$
$5677$ $51597970550449399$ $684814856120340$ $51597970550449399^{2} \, - \, $$5677$$ \, \cdot \, 684814856120340^{2} = 1$
$5678$ $1994681678223$ $26471338676$ $1994681678223^{2} \, - \, $$5678$$ \, \cdot \, 26471338676^{2} = 1$
$5681$ $338135454619438815$ $4486196742950248$ $338135454619438815^{2} \, - \, $$5681$$ \, \cdot \, 4486196742950248^{2} = 1$
$5682$ $2242895719008401$ $29754898100820$ $2242895719008401^{2} \, - \, $$5682$$ \, \cdot \, 29754898100820^{2} = 1$
$5683$ $748843226$ $9933495$ $748843226^{2} \, - \, $$5683$$ \, \cdot \, 9933495^{2} = 1$
$5685$ $26790751$ $355320$ $26790751^{2} \, - \, $$5685$$ \, \cdot \, 355320^{2} = 1$
$5686$ $38251748787556287323779751159527145749979202495448871383344290885$ $507280148454712641877985455172589398970302664344919981098520678$ $38251748787556287323779751159527145749979202495448871383344290885^{2} \, - \, $$5686$$ \, \cdot \, 507280148454712641877985455172589398970302664344919981098520678^{2} = 1$
$5689$ $14879288641081320011055872611581526214219043947143140334097501836910596932479036726231180032801$ $197271434105693561224527569685086302714472511420263843261183827810538592770124759271179710520$ $14879288641081320011055872611581526214219043947143140334097501836910596932479036726231180032801^{2} \, - \, $$5689$$ \, \cdot \, 197271434105693561224527569685086302714472511420263843261183827810538592770124759271179710520^{2} = 1$
$5690$ $7466419$ $98982$ $7466419^{2} \, - \, $$5690$$ \, \cdot \, 98982^{2} = 1$
$5691$ $5159790237895$ $68397110308$ $5159790237895^{2} \, - \, $$5691$$ \, \cdot \, 68397110308^{2} = 1$
$5693$ $3345538421856839216559840885036847838421097687267146249$ $44339973579191485128272220167298717052667772248586700$ $3345538421856839216559840885036847838421097687267146249^{2} \, - \, $$5693$$ \, \cdot \, 44339973579191485128272220167298717052667772248586700^{2} = 1$
$5694$ $93567605$ $1239986$ $93567605^{2} \, - \, $$5694$$ \, \cdot \, 1239986^{2} = 1$
$5695$ $16587385605764$ $219801714951$ $16587385605764^{2} \, - \, $$5695$$ \, \cdot \, 219801714951^{2} = 1$
$5698$ $32908418047$ $435959136$ $32908418047^{2} \, - \, $$5698$$ \, \cdot \, 435959136^{2} = 1$
$5699$ $4024890951$ $53315660$ $4024890951^{2} \, - \, $$5699$$ \, \cdot \, 53315660^{2} = 1$
$5701$ $1481287734425705080512883160251509339178216517359835647187416773925858633593802752958169422107897811437114965449$ $19618414505623097412989622442435119026952679925678026108794672189750424980140305368264583264599203877633042540$ $1481287734425705080512883160251509339178216517359835647187416773925858633593802752958169422107897811437114965449^{2} \, - \, $$5701$$ \, \cdot \, 19618414505623097412989622442435119026952679925678026108794672189750424980140305368264583264599203877633042540^{2} = 1$
$5702$ $6219018521448517$ $82358465022162$ $6219018521448517^{2} \, - \, $$5702$$ \, \cdot \, 82358465022162^{2} = 1$
$5703$ $1323616434868$ $17527116171$ $1323616434868^{2} \, - \, $$5703$$ \, \cdot \, 17527116171^{2} = 1$
$5705$ $122575897961$ $1622845812$ $122575897961^{2} \, - \, $$5705$$ \, \cdot \, 1622845812^{2} = 1$
$5707$ $14737203034248550206764694943$ $195079273949592889600684008$ $14737203034248550206764694943^{2} \, - \, $$5707$$ \, \cdot \, 195079273949592889600684008^{2} = 1$
$5709$ $37224065$ $492656$ $37224065^{2} \, - \, $$5709$$ \, \cdot \, 492656^{2} = 1$
$5710$ $22433452240108333297900501$ $296878028522621371041090$ $22433452240108333297900501^{2} \, - \, $$5710$$ \, \cdot \, 296878028522621371041090^{2} = 1$
$5711$ $279840$ $3703$ $279840^{2} \, - \, $$5711$$ \, \cdot \, 3703^{2} = 1$
$5713$ $421406065153$ $5575305504$ $421406065153^{2} \, - \, $$5713$$ \, \cdot \, 5575305504^{2} = 1$
$5714$ $69639534179450738065$ $921267476260855596$ $69639534179450738065^{2} \, - \, $$5714$$ \, \cdot \, 921267476260855596^{2} = 1$
$5717$ $550953192665721953133634066413639027849$ $7286695274483873350224999684852153980$ $550953192665721953133634066413639027849^{2} \, - \, $$5717$$ \, \cdot \, 7286695274483873350224999684852153980^{2} = 1$
$5718$ $3469916837$ $45887774$ $3469916837^{2} \, - \, $$5718$$ \, \cdot \, 45887774^{2} = 1$
$5719$ $491670203565799$ $6501504110940$ $491670203565799^{2} \, - \, $$5719$$ \, \cdot \, 6501504110940^{2} = 1$
$5721$ $765970890541860703892530668593949512915366872535$ $10126894635498323972731359300890046302195515612$ $765970890541860703892530668593949512915366872535^{2} \, - \, $$5721$$ \, \cdot \, 10126894635498323972731359300890046302195515612^{2} = 1$
$5722$ $480934099$ $6357870$ $480934099^{2} \, - \, $$5722$$ \, \cdot \, 6357870^{2} = 1$
$5723$ $62782787226482$ $829905646101$ $62782787226482^{2} \, - \, $$5723$$ \, \cdot \, 829905646101^{2} = 1$
$5726$ $390955069695$ $5166556432$ $390955069695^{2} \, - \, $$5726$$ \, \cdot \, 5166556432^{2} = 1$
$5727$ $159527$ $2108$ $159527^{2} \, - \, $$5727$$ \, \cdot \, 2108^{2} = 1$
$5729$ $23529464494882441134609022887201$ $310865575574298210389816774440$ $23529464494882441134609022887201^{2} \, - \, $$5729$$ \, \cdot \, 310865575574298210389816774440^{2} = 1$
$5730$ $61003019759$ $805886764$ $61003019759^{2} \, - \, $$5730$$ \, \cdot \, 805886764^{2} = 1$
$5731$ $7480700897570$ $98815958223$ $7480700897570^{2} \, - \, $$5731$$ \, \cdot \, 98815958223^{2} = 1$
$5734$ $79055$ $1044$ $79055^{2} \, - \, $$5734$$ \, \cdot \, 1044^{2} = 1$
$5735$ $294835204$ $3893253$ $294835204^{2} \, - \, $$5735$$ \, \cdot \, 3893253^{2} = 1$
$5737$ $35092423460565952694655603849321514171537567763877451904369526622109216666679065790680377633$ $463309213092801206768217705514937070025303244828331701451681317671182872731699200331231032$ $35092423460565952694655603849321514171537567763877451904369526622109216666679065790680377633^{2} \, - \, $$5737$$ \, \cdot \, 463309213092801206768217705514937070025303244828331701451681317671182872731699200331231032^{2} = 1$
$5738$ $303$ $4$ $303^{2} \, - \, $$5738$$ \, \cdot \, 4^{2} = 1$
$5739$ $11021684979229370$ $145488907107021$ $11021684979229370^{2} \, - \, $$5739$$ \, \cdot \, 145488907107021^{2} = 1$
$5741$ $456656951429088201$ $6026932112858020$ $456656951429088201^{2} \, - \, $$5741$$ \, \cdot \, 6026932112858020^{2} = 1$
$5743$ $3038048$ $40089$ $3038048^{2} \, - \, $$5743$$ \, \cdot \, 40089^{2} = 1$
$5745$ $1649535579525625001$ $21762895212448500$ $1649535579525625001^{2} \, - \, $$5745$$ \, \cdot \, 21762895212448500^{2} = 1$
$5747$ $1364589984927$ $18000376168$ $1364589984927^{2} \, - \, $$5747$$ \, \cdot \, 18000376168^{2} = 1$
$5749$ $9137372323047191894844293999858304110615765449$ $120510577395587655729372173579953491688392780$ $9137372323047191894844293999858304110615765449^{2} \, - \, $$5749$$ \, \cdot \, 120510577395587655729372173579953491688392780^{2} = 1$
$5753$ $651274163020887$ $8586509651516$ $651274163020887^{2} \, - \, $$5753$$ \, \cdot \, 8586509651516^{2} = 1$
$5754$ $377384804845$ $4975073266$ $377384804845^{2} \, - \, $$5754$$ \, \cdot \, 4975073266^{2} = 1$
$5755$ $17944354472420694271748971756409$ $236540317667346814847104510284$ $17944354472420694271748971756409^{2} \, - \, $$5755$$ \, \cdot \, 236540317667346814847104510284^{2} = 1$
$5757$ $607$ $8$ $607^{2} \, - \, $$5757$$ \, \cdot \, 8^{2} = 1$
$5758$ $2766918216738522289531457134404305485773356344858493889599$ $36463679650828863702772452462629632869309832458956216760$ $2766918216738522289531457134404305485773356344858493889599^{2} \, - \, $$5758$$ \, \cdot \, 36463679650828863702772452462629632869309832458956216760^{2} = 1$
$5759$ $1268498820185$ $16715390556$ $1268498820185^{2} \, - \, $$5759$$ \, \cdot \, 16715390556^{2} = 1$
$5761$ $506348650417819859435055383766700228224755903480512735$ $6671150205035149812824177514677683463591876027887128$ $506348650417819859435055383766700228224755903480512735^{2} \, - \, $$5761$$ \, \cdot \, 6671150205035149812824177514677683463591876027887128^{2} = 1$
$5762$ $19282888332865601$ $254030263845240$ $19282888332865601^{2} \, - \, $$5762$$ \, \cdot \, 254030263845240^{2} = 1$
$5763$ $964040402$ $12699041$ $964040402^{2} \, - \, $$5763$$ \, \cdot \, 12699041^{2} = 1$
$5765$ $71767090937193145739770599369$ $945204295761683511563246188$ $71767090937193145739770599369^{2} \, - \, $$5765$$ \, \cdot \, 945204295761683511563246188^{2} = 1$
$5767$ $475022024$ $6255165$ $475022024^{2} \, - \, $$5767$$ \, \cdot \, 6255165^{2} = 1$
$5770$ $48139927009003714864339$ $633749341189338992886$ $48139927009003714864339^{2} \, - \, $$5770$$ \, \cdot \, 633749341189338992886^{2} = 1$
$5771$ $1581627558293049$ $20819902260220$ $1581627558293049^{2} \, - \, $$5771$$ \, \cdot \, 20819902260220^{2} = 1$
$5773$ $185052532515107981271281419353134581131420599$ $2435534322563691164933583261871050977505660$ $185052532515107981271281419353134581131420599^{2} \, - \, $$5773$$ \, \cdot \, 2435534322563691164933583261871050977505660^{2} = 1$
$5774$ $5775$ $76$ $5775^{2} \, - \, $$5774$$ \, \cdot \, 76^{2} = 1$
$5777$ $11553$ $152$ $11553^{2} \, - \, $$5777$$ \, \cdot \, 152^{2} = 1$
$5779$ $32686810212972846670152583936035629834003712638959385436754962530748121970$ $429977959309672521574537253502198065047380195265588887738192354145131159$ $32686810212972846670152583936035629834003712638959385436754962530748121970^{2} \, - \, $$5779$$ \, \cdot \, 429977959309672521574537253502198065047380195265588887738192354145131159^{2} = 1$
$5781$ $130889423718650033801$ $1721484318351190140$ $130889423718650033801^{2} \, - \, $$5781$$ \, \cdot \, 1721484318351190140^{2} = 1$
$5783$ $886546434888300951768$ $11658022563622140859$ $886546434888300951768^{2} \, - \, $$5783$$ \, \cdot \, 11658022563622140859^{2} = 1$
$5785$ $742567651729192500769$ $9763023723228869736$ $742567651729192500769^{2} \, - \, $$5785$$ \, \cdot \, 9763023723228869736^{2} = 1$
$5786$ $14980009200673442815$ $196934980985130528$ $14980009200673442815^{2} \, - \, $$5786$$ \, \cdot \, 196934980985130528^{2} = 1$
$5789$ $959703304575$ $12613488496$ $959703304575^{2} \, - \, $$5789$$ \, \cdot \, 12613488496^{2} = 1$
$5790$ $110243531$ $1448818$ $110243531^{2} \, - \, $$5790$$ \, \cdot \, 1448818^{2} = 1$
$5791$ $164712540605892090032719255385353868587893947985251104502348837470884320$ $2164461591038104003871176229289439229234124007836061975893684615444783$ $164712540605892090032719255385353868587893947985251104502348837470884320^{2} \, - \, $$5791$$ \, \cdot \, 2164461591038104003871176229289439229234124007836061975893684615444783^{2} = 1$
$5793$ $2594435836093483319364438226583$ $34087187556816576687886727196$ $2594435836093483319364438226583^{2} \, - \, $$5793$$ \, \cdot \, 34087187556816576687886727196^{2} = 1$
$5794$ $2254845823988390581939235$ $29622902335205309839686$ $2254845823988390581939235^{2} \, - \, $$5794$$ \, \cdot \, 29622902335205309839686^{2} = 1$
$5795$ $609$ $8$ $609^{2} \, - \, $$5795$$ \, \cdot \, 8^{2} = 1$
$5797$ $316285001$ $4154100$ $316285001^{2} \, - \, $$5797$$ \, \cdot \, 4154100^{2} = 1$
$5798$ $43707$ $574$ $43707^{2} \, - \, $$5798$$ \, \cdot \, 574^{2} = 1$
$5799$ $28592935$ $375476$ $28592935^{2} \, - \, $$5799$$ \, \cdot \, 375476^{2} = 1$
$5801$ $4228586500945624568183322632907088510634203526507875147389275090049$ $55519275009678737433448663500101178915792662337054289287112929680$ $4228586500945624568183322632907088510634203526507875147389275090049^{2} \, - \, $$5801$$ \, \cdot \, 55519275009678737433448663500101178915792662337054289287112929680^{2} = 1$
$5802$ $77758670448264973$ $1020845371395458$ $77758670448264973^{2} \, - \, $$5802$$ \, \cdot \, 1020845371395458^{2} = 1$
$5803$ $2375200835342$ $31179852189$ $2375200835342^{2} \, - \, $$5803$$ \, \cdot \, 31179852189^{2} = 1$
$5806$ $4292481128598838572683156053918329156045627318753761212629123215$ $56333907815072125104501215925326299040764703439001047590943252$ $4292481128598838572683156053918329156045627318753761212629123215^{2} \, - \, $$5806$$ \, \cdot \, 56333907815072125104501215925326299040764703439001047590943252^{2} = 1$
$5807$ $9895849118599658448$ $129860524308724423$ $9895849118599658448^{2} \, - \, $$5807$$ \, \cdot \, 129860524308724423^{2} = 1$
$5809$ $4390978674025$ $57611693244$ $4390978674025^{2} \, - \, $$5809$$ \, \cdot \, 57611693244^{2} = 1$
$5810$ $67229$ $882$ $67229^{2} \, - \, $$5810$$ \, \cdot \, 882^{2} = 1$
$5811$ $2912598288926$ $38208074535$ $2912598288926^{2} \, - \, $$5811$$ \, \cdot \, 38208074535^{2} = 1$
$5813$ $12043073739849$ $157956384340$ $12043073739849^{2} \, - \, $$5813$$ \, \cdot \, 157956384340^{2} = 1$
$5815$ $215384925932979198203404$ $2824492628835272209581$ $215384925932979198203404^{2} \, - \, $$5815$$ \, \cdot \, 2824492628835272209581^{2} = 1$
$5817$ $2621527$ $34372$ $2621527^{2} \, - \, $$5817$$ \, \cdot \, 34372^{2} = 1$
$5818$ $658098901166745133353266531635090201438402099$ $8627884193177947948425567362851235363147910$ $658098901166745133353266531635090201438402099^{2} \, - \, $$5818$$ \, \cdot \, 8627884193177947948425567362851235363147910^{2} = 1$
$5821$ $56799706723995716328440677320393368347477599049$ $744470157781699145583571485375403468566792420$ $56799706723995716328440677320393368347477599049^{2} \, - \, $$5821$$ \, \cdot \, 744470157781699145583571485375403468566792420^{2} = 1$
$5822$ $39629661183$ $519378848$ $39629661183^{2} \, - \, $$5822$$ \, \cdot \, 519378848^{2} = 1$
$5826$ $164939439038607425$ $2160922905781768$ $164939439038607425^{2} \, - \, $$5826$$ \, \cdot \, 2160922905781768^{2} = 1$
$5827$ $52442$ $687$ $52442^{2} \, - \, $$5827$$ \, \cdot \, 687^{2} = 1$
$5829$ $2081395897366015$ $27261997053984$ $2081395897366015^{2} \, - \, $$5829$$ \, \cdot \, 27261997053984^{2} = 1$
$5830$ $1238441206661$ $16219636482$ $1238441206661^{2} \, - \, $$5830$$ \, \cdot \, 16219636482^{2} = 1$
$5833$ $4396242363823953646972316686927767886707280110715351$ $57561968667156868892890438421088408473760928753980$ $4396242363823953646972316686927767886707280110715351^{2} \, - \, $$5833$$ \, \cdot \, 57561968667156868892890438421088408473760928753980^{2} = 1$
$5834$ $97674966461376512890545876012051$ $1278792434838659559536146076570$ $97674966461376512890545876012051^{2} \, - \, $$5834$$ \, \cdot \, 1278792434838659559536146076570^{2} = 1$
$5835$ $60929865506$ $797645261$ $60929865506^{2} \, - \, $$5835$$ \, \cdot \, 797645261^{2} = 1$
$5837$ $291849$ $3820$ $291849^{2} \, - \, $$5837$$ \, \cdot \, 3820^{2} = 1$
$5838$ $2903153$ $37996$ $2903153^{2} \, - \, $$5838$$ \, \cdot \, 37996^{2} = 1$
$5839$ $59827757308149251468481464667240976415726470142937644483178536176183939520$ $782949021426621332678790825293417016017957507879898074795634142123226679$ $59827757308149251468481464667240976415726470142937644483178536176183939520^{2} \, - \, $$5839$$ \, \cdot \, 782949021426621332678790825293417016017957507879898074795634142123226679^{2} = 1$
$5842$ $18543904898653$ $242616545682$ $18543904898653^{2} \, - \, $$5842$$ \, \cdot \, 242616545682^{2} = 1$
$5843$ $9923438722202$ $129820790439$ $9923438722202^{2} \, - \, $$5843$$ \, \cdot \, 129820790439^{2} = 1$
$5845$ $250000001$ $3270000$ $250000001^{2} \, - \, $$5845$$ \, \cdot \, 3270000^{2} = 1$
$5846$ $34977996270073249699995$ $457473057347251317938$ $34977996270073249699995^{2} \, - \, $$5846$$ \, \cdot \, 457473057347251317938^{2} = 1$
$5847$ $7607407718109028$ $99487872988733$ $7607407718109028^{2} \, - \, $$5847$$ \, \cdot \, 99487872988733^{2} = 1$
$5849$ $7057615658848294081286011447323345667723369232384951015046032672327475201$ $92282041444668569195552929638574080608893213598156200186355571009407360$ $7057615658848294081286011447323345667723369232384951015046032672327475201^{2} \, - \, $$5849$$ \, \cdot \, 92282041444668569195552929638574080608893213598156200186355571009407360^{2} = 1$
$5851$ $35122598051748062363124916203649634574966434947250$ $459167968946163979531069296870032412348383089707$ $35122598051748062363124916203649634574966434947250^{2} \, - \, $$5851$$ \, \cdot \, 459167968946163979531069296870032412348383089707^{2} = 1$
$5853$ $15607$ $204$ $15607^{2} \, - \, $$5853$$ \, \cdot \, 204^{2} = 1$
$5854$ $254071599305400141691262744524653450603400543533759725760623513354495$ $3320700918577210486897585997971225393110153582129862289646072828816$ $254071599305400141691262744524653450603400543533759725760623513354495^{2} \, - \, $$5854$$ \, \cdot \, 3320700918577210486897585997971225393110153582129862289646072828816^{2} = 1$
$5855$ $5684886489$ $74294788$ $5684886489^{2} \, - \, $$5855$$ \, \cdot \, 74294788^{2} = 1$
$5857$ $20963430436435770966977319256166707769839378070767611830226417099749012671152673$ $273920628621208350844173687782247745343415575150312368550749506898397339071752$ $20963430436435770966977319256166707769839378070767611830226417099749012671152673^{2} \, - \, $$5857$$ \, \cdot \, 273920628621208350844173687782247745343415575150312368550749506898397339071752^{2} = 1$
$5858$ $350648163$ $4581386$ $350648163^{2} \, - \, $$5858$$ \, \cdot \, 4581386^{2} = 1$
$5861$ $7510155158697341663046169962289414346118612556376816232385088653684617753125001$ $98098654078655577487680858845958765758355611178249237808095245375068216902500$ $7510155158697341663046169962289414346118612556376816232385088653684617753125001^{2} \, - \, $$5861$$ \, \cdot \, 98098654078655577487680858845958765758355611178249237808095245375068216902500^{2} = 1$
$5862$ $24228167717$ $316444582$ $24228167717^{2} \, - \, $$5862$$ \, \cdot \, 316444582^{2} = 1$
$5863$ $15242347600624$ $199063627725$ $15242347600624^{2} \, - \, $$5863$$ \, \cdot \, 199063627725^{2} = 1$
$5865$ $919$ $12$ $919^{2} \, - \, $$5865$$ \, \cdot \, 12^{2} = 1$
$5866$ $644723878784098345336844330558345965$ $8417879919025378243495224091341942$ $644723878784098345336844330558345965^{2} \, - \, $$5866$$ \, \cdot \, 8417879919025378243495224091341942^{2} = 1$
$5867$ $1475694124786841677072126090920226$ $19265855743613660998732862713635$ $1475694124786841677072126090920226^{2} \, - \, $$5867$$ \, \cdot \, 19265855743613660998732862713635^{2} = 1$
$5869$ $69297368586759137043131090913016384246251705760871583755374273959471520376646909938800412789628570114645001$ $904554396467043258626520360111593149788640014460315273373466046365783524669575696999057944873909949517100$ $69297368586759137043131090913016384246251705760871583755374273959471520376646909938800412789628570114645001^{2} \, - \, $$5869$$ \, \cdot \, 904554396467043258626520360111593149788640014460315273373466046365783524669575696999057944873909949517100^{2} = 1$
$5870$ $428108491$ $5587722$ $428108491^{2} \, - \, $$5870$$ \, \cdot \, 5587722^{2} = 1$
$5871$ $37590055$ $490588$ $37590055^{2} \, - \, $$5871$$ \, \cdot \, 490588^{2} = 1$
$5873$ $15672898310111459508223$ $204512244633890674944$ $15672898310111459508223^{2} \, - \, $$5873$$ \, \cdot \, 204512244633890674944^{2} = 1$
$5874$ $283973883665$ $3705198076$ $283973883665^{2} \, - \, $$5874$$ \, \cdot \, 3705198076^{2} = 1$
$5878$ $52901$ $690$ $52901^{2} \, - \, $$5878$$ \, \cdot \, 690^{2} = 1$
$5879$ $2289723519545040625033994118840$ $29862854278354478819246777291$ $2289723519545040625033994118840^{2} \, - \, $$5879$$ \, \cdot \, 29862854278354478819246777291^{2} = 1$
$5881$ $37983699728577972199585551296133946316050181143833341032821451027913744662271268201841451248969775610618059596396892449$ $495303816472548954339554626697321933666673024812122610379060576902275770232663994800728746900557038450947439887627640$ $37983699728577972199585551296133946316050181143833341032821451027913744662271268201841451248969775610618059596396892449^{2} \, - \, $$5881$$ \, \cdot \, 495303816472548954339554626697321933666673024812122610379060576902275770232663994800728746900557038450947439887627640^{2} = 1$
$5882$ $25248190899$ $329206010$ $25248190899^{2} \, - \, $$5882$$ \, \cdot \, 329206010^{2} = 1$
$5883$ $5968543$ $77816$ $5968543^{2} \, - \, $$5883$$ \, \cdot \, 77816^{2} = 1$
$5885$ $77426271$ $1009288$ $77426271^{2} \, - \, $$5885$$ \, \cdot \, 1009288^{2} = 1$
$5889$ $83281995672397791717655$ $1085251379087845585404$ $83281995672397791717655^{2} \, - \, $$5889$$ \, \cdot \, 1085251379087845585404^{2} = 1$
$5890$ $55342593472879$ $721110567324$ $55342593472879^{2} \, - \, $$5890$$ \, \cdot \, 721110567324^{2} = 1$
$5891$ $1677180732545256130$ $21851706225146367$ $1677180732545256130^{2} \, - \, $$5891$$ \, \cdot \, 21851706225146367^{2} = 1$
$5893$ $16230242303$ $211425216$ $16230242303^{2} \, - \, $$5893$$ \, \cdot \, 211425216^{2} = 1$
$5894$ $2527595367731945295$ $32923233718091164$ $2527595367731945295^{2} \, - \, $$5894$$ \, \cdot \, 32923233718091164^{2} = 1$
$5897$ $1752207005912952585715329769379569159701633$ $22817594012114523579947391785040247059952$ $1752207005912952585715329769379569159701633^{2} \, - \, $$5897$$ \, \cdot \, 22817594012114523579947391785040247059952^{2} = 1$
$5898$ $49151$ $640$ $49151^{2} \, - \, $$5898$$ \, \cdot \, 640^{2} = 1$
$5899$ $559448711864094094776783751355810$ $7284019170639899117873551470099$ $559448711864094094776783751355810^{2} \, - \, $$5899$$ \, \cdot \, 7284019170639899117873551470099^{2} = 1$
$5901$ $301674295$ $3927132$ $301674295^{2} \, - \, $$5901$$ \, \cdot \, 3927132^{2} = 1$
$5902$ $5587449695182416907$ $72730073011069782$ $5587449695182416907^{2} \, - \, $$5902$$ \, \cdot \, 72730073011069782^{2} = 1$
$5903$ $29757024$ $387305$ $29757024^{2} \, - \, $$5903$$ \, \cdot \, 387305^{2} = 1$
$5905$ $3833627566711433704257603689$ $49888445106708679571256132$ $3833627566711433704257603689^{2} \, - \, $$5905$$ \, \cdot \, 49888445106708679571256132^{2} = 1$
$5906$ $28459091301699$ $370317561190$ $28459091301699^{2} \, - \, $$5906$$ \, \cdot \, 370317561190^{2} = 1$
$5907$ $538$ $7$ $538^{2} \, - \, $$5907$$ \, \cdot \, 7^{2} = 1$
$5909$ $19217954300230987927202691912951$ $250005844401398830298017031260$ $19217954300230987927202691912951^{2} \, - \, $$5909$$ \, \cdot \, 250005844401398830298017031260^{2} = 1$
$5910$ $50431$ $656$ $50431^{2} \, - \, $$5910$$ \, \cdot \, 656^{2} = 1$
$5911$ $631506892428575$ $8213866032072$ $631506892428575^{2} \, - \, $$5911$$ \, \cdot \, 8213866032072^{2} = 1$
$5914$ $191235256108323694730033035607231793715484032225276075567699$ $2486722372943433791780736855413288059086268672237982950830$ $191235256108323694730033035607231793715484032225276075567699^{2} \, - \, $$5914$$ \, \cdot \, 2486722372943433791780736855413288059086268672237982950830^{2} = 1$
$5917$ $16882849$ $219480$ $16882849^{2} \, - \, $$5917$$ \, \cdot \, 219480^{2} = 1$
$5918$ $1077$ $14$ $1077^{2} \, - \, $$5918$$ \, \cdot \, 14^{2} = 1$
$5919$ $78420826759000679813778076$ $1019312257132721352819735$ $78420826759000679813778076^{2} \, - \, $$5919$$ \, \cdot \, 1019312257132721352819735^{2} = 1$
$5921$ $178786945366653522445151199$ $2323476443952078130623160$ $178786945366653522445151199^{2} \, - \, $$5921$$ \, \cdot \, 2323476443952078130623160^{2} = 1$
$5923$ $75510369752148198950156106803612551902635123560442$ $981150728310408406277018626638102523865766035841$ $75510369752148198950156106803612551902635123560442^{2} \, - \, $$5923$$ \, \cdot \, 981150728310408406277018626638102523865766035841^{2} = 1$
$5926$ $97153691535689599360673089053797085432018257041858871624354885$ $1262055586297400777640574467838071702819202475908074437998782$ $97153691535689599360673089053797085432018257041858871624354885^{2} \, - \, $$5926$$ \, \cdot \, 1262055586297400777640574467838071702819202475908074437998782^{2} = 1$
$5927$ $5928$ $77$ $5928^{2} \, - \, $$5927$$ \, \cdot \, 77^{2} = 1$
$5930$ $11859$ $154$ $11859^{2} \, - \, $$5930$$ \, \cdot \, 154^{2} = 1$
$5933$ $104316675849$ $1354305260$ $104316675849^{2} \, - \, $$5933$$ \, \cdot \, 1354305260^{2} = 1$
$5934$ $1803985451$ $23418510$ $1803985451^{2} \, - \, $$5934$$ \, \cdot \, 23418510^{2} = 1$
$5935$ $9675652449180429783244$ $125594290941066499281$ $9675652449180429783244^{2} \, - \, $$5935$$ \, \cdot \, 125594290941066499281^{2} = 1$
$5937$ $96564233206691515053053596959353303$ $1253235740226938879556853563683372$ $96564233206691515053053596959353303^{2} \, - \, $$5937$$ \, \cdot \, 1253235740226938879556853563683372^{2} = 1$
$5938$ $502835777$ $6525384$ $502835777^{2} \, - \, $$5938$$ \, \cdot \, 6525384^{2} = 1$
$5939$ $413596533041712474130$ $5366859512896808121$ $413596533041712474130^{2} \, - \, $$5939$$ \, \cdot \, 5366859512896808121^{2} = 1$
$5941$ $23066222221168171723182248605653233701161418865988177766407049$ $299258638355268720741090209317909289426923563891898019565180$ $23066222221168171723182248605653233701161418865988177766407049^{2} \, - \, $$5941$$ \, \cdot \, 299258638355268720741090209317909289426923563891898019565180^{2} = 1$
$5942$ $4268352020055877$ $55372471168422$ $4268352020055877^{2} \, - \, $$5942$$ \, \cdot \, 55372471168422^{2} = 1$
$5943$ $848$ $11$ $848^{2} \, - \, $$5943$$ \, \cdot \, 11^{2} = 1$
$5945$ $79636841$ $1032852$ $79636841^{2} \, - \, $$5945$$ \, \cdot \, 1032852^{2} = 1$
$5946$ $899834693404321549$ $11669447139628170$ $899834693404321549^{2} \, - \, $$5946$$ \, \cdot \, 11669447139628170^{2} = 1$
$5947$ $90458$ $1173$ $90458^{2} \, - \, $$5947$$ \, \cdot \, 1173^{2} = 1$
$5951$ $540$ $7$ $540^{2} \, - \, $$5951$$ \, \cdot \, 7^{2} = 1$
$5953$ $9605188343787624251574674125949606298540999982620997489946941825772661793$ $124490996667390864107762944732900000010551704214896536312965957891287096$ $9605188343787624251574674125949606298540999982620997489946941825772661793^{2} \, - \, $$5953$$ \, \cdot \, 124490996667390864107762944732900000010551704214896536312965957891287096^{2} = 1$
$5954$ $16302051$ $211270$ $16302051^{2} \, - \, $$5954$$ \, \cdot \, 211270^{2} = 1$
$5955$ $2734934$ $35441$ $2734934^{2} \, - \, $$5955$$ \, \cdot \, 35441^{2} = 1$
$5957$ $305978751$ $3964400$ $305978751^{2} \, - \, $$5957$$ \, \cdot \, 3964400^{2} = 1$
$5959$ $250643514449569287778681076884180$ $3246906471361522268367010251381$ $250643514449569287778681076884180^{2} \, - \, $$5959$$ \, \cdot \, 3246906471361522268367010251381^{2} = 1$
$5961$ $387129716115702796576741834465481395050775$ $5014145685308900994915804572444495785772$ $387129716115702796576741834465481395050775^{2} \, - \, $$5961$$ \, \cdot \, 5014145685308900994915804572444495785772^{2} = 1$
$5962$ $2065809785599$ $26754346320$ $2065809785599^{2} \, - \, $$5962$$ \, \cdot \, 26754346320^{2} = 1$
$5963$ $619617$ $8024$ $619617^{2} \, - \, $$5963$$ \, \cdot \, 8024^{2} = 1$
$5965$ $305293630944934137153624893066623331509876129302374939068018249$ $3952869894342540267960518527367334294543400084610714510508420$ $305293630944934137153624893066623331509876129302374939068018249^{2} \, - \, $$5965$$ \, \cdot \, 3952869894342540267960518527367334294543400084610714510508420^{2} = 1$
$5966$ $79512523966833996417301$ $1029423113020708072590$ $79512523966833996417301^{2} \, - \, $$5966$$ \, \cdot \, 1029423113020708072590^{2} = 1$
$5969$ $30653636844585970354476255$ $396763048560377993793064$ $30653636844585970354476255^{2} \, - \, $$5969$$ \, \cdot \, 396763048560377993793064^{2} = 1$
$5970$ $108864541$ $1408962$ $108864541^{2} \, - \, $$5970$$ \, \cdot \, 1408962^{2} = 1$
$5971$ $6082005494951453837271352097299854374$ $78708796634579887067128063013132775$ $6082005494951453837271352097299854374^{2} \, - \, $$5971$$ \, \cdot \, 78708796634579887067128063013132775^{2} = 1$
$5973$ $79169399$ $1024380$ $79169399^{2} \, - \, $$5973$$ \, \cdot \, 1024380^{2} = 1$
$5974$ $1855$ $24$ $1855^{2} \, - \, $$5974$$ \, \cdot \, 24^{2} = 1$
$5977$ $153959668241051417768311400136332041353751$ $1991431345262378848232718459456452469900$ $153959668241051417768311400136332041353751^{2} \, - \, $$5977$$ \, \cdot \, 1991431345262378848232718459456452469900^{2} = 1$
$5979$ $25594727815$ $331006284$ $25594727815^{2} \, - \, $$5979$$ \, \cdot \, 331006284^{2} = 1$
$5981$ $49447301519108083059916338822438528867812995412232201$ $639375064223372562372604253622125798134124657047180$ $49447301519108083059916338822438528867812995412232201^{2} \, - \, $$5981$$ \, \cdot \, 639375064223372562372604253622125798134124657047180^{2} = 1$
$5982$ $11302092369692752373$ $146128742839877598$ $11302092369692752373^{2} \, - \, $$5982$$ \, \cdot \, 146128742839877598^{2} = 1$
$5983$ $241982875232$ $3128420559$ $241982875232^{2} \, - \, $$5983$$ \, \cdot \, 3128420559^{2} = 1$
$5986$ $193420945$ $2499972$ $193420945^{2} \, - \, $$5986$$ \, \cdot \, 2499972^{2} = 1$
$5987$ $110720120475093335668258282$ $1430941636335141255267777$ $110720120475093335668258282^{2} \, - \, $$5987$$ \, \cdot \, 1430941636335141255267777^{2} = 1$
$5989$ $3925840666625$ $50728907904$ $3925840666625^{2} \, - \, $$5989$$ \, \cdot \, 50728907904^{2} = 1$
$5990$ $3171105521999$ $40972954620$ $3171105521999^{2} \, - \, $$5990$$ \, \cdot \, 40972954620^{2} = 1$
$5991$ $49924$ $645$ $49924^{2} \, - \, $$5991$$ \, \cdot \, 645^{2} = 1$
$5993$ $12118038848536987262860847649$ $156534547297678804782043480$ $12118038848536987262860847649^{2} \, - \, $$5993$$ \, \cdot \, 156534547297678804782043480^{2} = 1$
$5995$ $139278239$ $1798824$ $139278239^{2} \, - \, $$5995$$ \, \cdot \, 1798824^{2} = 1$
$5997$ $71788087$ $927012$ $71788087^{2} \, - \, $$5997$$ \, \cdot \, 927012^{2} = 1$
$5998$ $1122466782724635217312200551106960143$ $14493399621812846519206257311433924$ $1122466782724635217312200551106960143^{2} \, - \, $$5998$$ \, \cdot \, 14493399621812846519206257311433924^{2} = 1$
$5999$ $1833493394514720$ $23672270712551$ $1833493394514720^{2} \, - \, $$5999$$ \, \cdot \, 23672270712551^{2} = 1$