Fundamental Solutions to Pell's Equation for $n = 1 \mathinner{\ldotp\ldotp} 1000$


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
$2$ $3$ $2$ $3^{2} \, - \, $$2$$ \, \cdot \, 2^{2} = 1$
$3$ $2$ $1$ $2^{2} \, - \, $$3$$ \, \cdot \, 1^{2} = 1$
$5$ $9$ $4$ $9^{2} \, - \, $$5$$ \, \cdot \, 4^{2} = 1$
$6$ $5$ $2$ $5^{2} \, - \, $$6$$ \, \cdot \, 2^{2} = 1$
$7$ $8$ $3$ $8^{2} \, - \, $$7$$ \, \cdot \, 3^{2} = 1$
$10$ $19$ $6$ $19^{2} \, - \, $$10$$ \, \cdot \, 6^{2} = 1$
$11$ $10$ $3$ $10^{2} \, - \, $$11$$ \, \cdot \, 3^{2} = 1$
$13$ $649$ $180$ $649^{2} \, - \, $$13$$ \, \cdot \, 180^{2} = 1$
$14$ $15$ $4$ $15^{2} \, - \, $$14$$ \, \cdot \, 4^{2} = 1$
$15$ $4$ $1$ $4^{2} \, - \, $$15$$ \, \cdot \, 1^{2} = 1$
$17$ $33$ $8$ $33^{2} \, - \, $$17$$ \, \cdot \, 8^{2} = 1$
$19$ $170$ $39$ $170^{2} \, - \, $$19$$ \, \cdot \, 39^{2} = 1$
$21$ $55$ $12$ $55^{2} \, - \, $$21$$ \, \cdot \, 12^{2} = 1$
$22$ $197$ $42$ $197^{2} \, - \, $$22$$ \, \cdot \, 42^{2} = 1$
$23$ $24$ $5$ $24^{2} \, - \, $$23$$ \, \cdot \, 5^{2} = 1$
$26$ $51$ $10$ $51^{2} \, - \, $$26$$ \, \cdot \, 10^{2} = 1$
$29$ $9801$ $1820$ $9801^{2} \, - \, $$29$$ \, \cdot \, 1820^{2} = 1$
$30$ $11$ $2$ $11^{2} \, - \, $$30$$ \, \cdot \, 2^{2} = 1$
$31$ $1520$ $273$ $1520^{2} \, - \, $$31$$ \, \cdot \, 273^{2} = 1$
$33$ $23$ $4$ $23^{2} \, - \, $$33$$ \, \cdot \, 4^{2} = 1$
$34$ $35$ $6$ $35^{2} \, - \, $$34$$ \, \cdot \, 6^{2} = 1$
$35$ $6$ $1$ $6^{2} \, - \, $$35$$ \, \cdot \, 1^{2} = 1$
$37$ $73$ $12$ $73^{2} \, - \, $$37$$ \, \cdot \, 12^{2} = 1$
$38$ $37$ $6$ $37^{2} \, - \, $$38$$ \, \cdot \, 6^{2} = 1$
$39$ $25$ $4$ $25^{2} \, - \, $$39$$ \, \cdot \, 4^{2} = 1$
$41$ $2049$ $320$ $2049^{2} \, - \, $$41$$ \, \cdot \, 320^{2} = 1$
$42$ $13$ $2$ $13^{2} \, - \, $$42$$ \, \cdot \, 2^{2} = 1$
$43$ $3482$ $531$ $3482^{2} \, - \, $$43$$ \, \cdot \, 531^{2} = 1$
$46$ $24335$ $3588$ $24335^{2} \, - \, $$46$$ \, \cdot \, 3588^{2} = 1$
$47$ $48$ $7$ $48^{2} \, - \, $$47$$ \, \cdot \, 7^{2} = 1$
$51$ $50$ $7$ $50^{2} \, - \, $$51$$ \, \cdot \, 7^{2} = 1$
$53$ $66249$ $9100$ $66249^{2} \, - \, $$53$$ \, \cdot \, 9100^{2} = 1$
$55$ $89$ $12$ $89^{2} \, - \, $$55$$ \, \cdot \, 12^{2} = 1$
$57$ $151$ $20$ $151^{2} \, - \, $$57$$ \, \cdot \, 20^{2} = 1$
$58$ $19603$ $2574$ $19603^{2} \, - \, $$58$$ \, \cdot \, 2574^{2} = 1$
$59$ $530$ $69$ $530^{2} \, - \, $$59$$ \, \cdot \, 69^{2} = 1$
$61$ $1766319049$ $226153980$ $1766319049^{2} \, - \, $$61$$ \, \cdot \, 226153980^{2} = 1$
$62$ $63$ $8$ $63^{2} \, - \, $$62$$ \, \cdot \, 8^{2} = 1$
$65$ $129$ $16$ $129^{2} \, - \, $$65$$ \, \cdot \, 16^{2} = 1$
$66$ $65$ $8$ $65^{2} \, - \, $$66$$ \, \cdot \, 8^{2} = 1$
$67$ $48842$ $5967$ $48842^{2} \, - \, $$67$$ \, \cdot \, 5967^{2} = 1$
$69$ $7775$ $936$ $7775^{2} \, - \, $$69$$ \, \cdot \, 936^{2} = 1$
$70$ $251$ $30$ $251^{2} \, - \, $$70$$ \, \cdot \, 30^{2} = 1$
$71$ $3480$ $413$ $3480^{2} \, - \, $$71$$ \, \cdot \, 413^{2} = 1$
$73$ $2281249$ $267000$ $2281249^{2} \, - \, $$73$$ \, \cdot \, 267000^{2} = 1$
$74$ $3699$ $430$ $3699^{2} \, - \, $$74$$ \, \cdot \, 430^{2} = 1$
$77$ $351$ $40$ $351^{2} \, - \, $$77$$ \, \cdot \, 40^{2} = 1$
$78$ $53$ $6$ $53^{2} \, - \, $$78$$ \, \cdot \, 6^{2} = 1$
$79$ $80$ $9$ $80^{2} \, - \, $$79$$ \, \cdot \, 9^{2} = 1$
$82$ $163$ $18$ $163^{2} \, - \, $$82$$ \, \cdot \, 18^{2} = 1$
$83$ $82$ $9$ $82^{2} \, - \, $$83$$ \, \cdot \, 9^{2} = 1$
$85$ $285769$ $30996$ $285769^{2} \, - \, $$85$$ \, \cdot \, 30996^{2} = 1$
$86$ $10405$ $1122$ $10405^{2} \, - \, $$86$$ \, \cdot \, 1122^{2} = 1$
$87$ $28$ $3$ $28^{2} \, - \, $$87$$ \, \cdot \, 3^{2} = 1$
$89$ $500001$ $53000$ $500001^{2} \, - \, $$89$$ \, \cdot \, 53000^{2} = 1$
$91$ $1574$ $165$ $1574^{2} \, - \, $$91$$ \, \cdot \, 165^{2} = 1$
$93$ $12151$ $1260$ $12151^{2} \, - \, $$93$$ \, \cdot \, 1260^{2} = 1$
$94$ $2143295$ $221064$ $2143295^{2} \, - \, $$94$$ \, \cdot \, 221064^{2} = 1$
$95$ $39$ $4$ $39^{2} \, - \, $$95$$ \, \cdot \, 4^{2} = 1$
$97$ $62809633$ $6377352$ $62809633^{2} \, - \, $$97$$ \, \cdot \, 6377352^{2} = 1$
$101$ $201$ $20$ $201^{2} \, - \, $$101$$ \, \cdot \, 20^{2} = 1$
$102$ $101$ $10$ $101^{2} \, - \, $$102$$ \, \cdot \, 10^{2} = 1$
$103$ $227528$ $22419$ $227528^{2} \, - \, $$103$$ \, \cdot \, 22419^{2} = 1$
$105$ $41$ $4$ $41^{2} \, - \, $$105$$ \, \cdot \, 4^{2} = 1$
$106$ $32080051$ $3115890$ $32080051^{2} \, - \, $$106$$ \, \cdot \, 3115890^{2} = 1$
$107$ $962$ $93$ $962^{2} \, - \, $$107$$ \, \cdot \, 93^{2} = 1$
$109$ $158070671986249$ $15140424455100$ $158070671986249^{2} \, - \, $$109$$ \, \cdot \, 15140424455100^{2} = 1$
$110$ $21$ $2$ $21^{2} \, - \, $$110$$ \, \cdot \, 2^{2} = 1$
$111$ $295$ $28$ $295^{2} \, - \, $$111$$ \, \cdot \, 28^{2} = 1$
$113$ $1204353$ $113296$ $1204353^{2} \, - \, $$113$$ \, \cdot \, 113296^{2} = 1$
$114$ $1025$ $96$ $1025^{2} \, - \, $$114$$ \, \cdot \, 96^{2} = 1$
$115$ $1126$ $105$ $1126^{2} \, - \, $$115$$ \, \cdot \, 105^{2} = 1$
$118$ $306917$ $28254$ $306917^{2} \, - \, $$118$$ \, \cdot \, 28254^{2} = 1$
$119$ $120$ $11$ $120^{2} \, - \, $$119$$ \, \cdot \, 11^{2} = 1$
$122$ $243$ $22$ $243^{2} \, - \, $$122$$ \, \cdot \, 22^{2} = 1$
$123$ $122$ $11$ $122^{2} \, - \, $$123$$ \, \cdot \, 11^{2} = 1$
$127$ $4730624$ $419775$ $4730624^{2} \, - \, $$127$$ \, \cdot \, 419775^{2} = 1$
$129$ $16855$ $1484$ $16855^{2} \, - \, $$129$$ \, \cdot \, 1484^{2} = 1$
$130$ $6499$ $570$ $6499^{2} \, - \, $$130$$ \, \cdot \, 570^{2} = 1$
$131$ $10610$ $927$ $10610^{2} \, - \, $$131$$ \, \cdot \, 927^{2} = 1$
$133$ $2588599$ $224460$ $2588599^{2} \, - \, $$133$$ \, \cdot \, 224460^{2} = 1$
$134$ $145925$ $12606$ $145925^{2} \, - \, $$134$$ \, \cdot \, 12606^{2} = 1$
$137$ $6083073$ $519712$ $6083073^{2} \, - \, $$137$$ \, \cdot \, 519712^{2} = 1$
$138$ $47$ $4$ $47^{2} \, - \, $$138$$ \, \cdot \, 4^{2} = 1$
$139$ $77563250$ $6578829$ $77563250^{2} \, - \, $$139$$ \, \cdot \, 6578829^{2} = 1$
$141$ $95$ $8$ $95^{2} \, - \, $$141$$ \, \cdot \, 8^{2} = 1$
$142$ $143$ $12$ $143^{2} \, - \, $$142$$ \, \cdot \, 12^{2} = 1$
$143$ $12$ $1$ $12^{2} \, - \, $$143$$ \, \cdot \, 1^{2} = 1$
$145$ $289$ $24$ $289^{2} \, - \, $$145$$ \, \cdot \, 24^{2} = 1$
$146$ $145$ $12$ $145^{2} \, - \, $$146$$ \, \cdot \, 12^{2} = 1$
$149$ $25801741449$ $2113761020$ $25801741449^{2} \, - \, $$149$$ \, \cdot \, 2113761020^{2} = 1$
$151$ $1728148040$ $140634693$ $1728148040^{2} \, - \, $$151$$ \, \cdot \, 140634693^{2} = 1$
$154$ $21295$ $1716$ $21295^{2} \, - \, $$154$$ \, \cdot \, 1716^{2} = 1$
$155$ $249$ $20$ $249^{2} \, - \, $$155$$ \, \cdot \, 20^{2} = 1$
$157$ $46698728731849$ $3726964292220$ $46698728731849^{2} \, - \, $$157$$ \, \cdot \, 3726964292220^{2} = 1$
$158$ $7743$ $616$ $7743^{2} \, - \, $$158$$ \, \cdot \, 616^{2} = 1$
$159$ $1324$ $105$ $1324^{2} \, - \, $$159$$ \, \cdot \, 105^{2} = 1$
$161$ $11775$ $928$ $11775^{2} \, - \, $$161$$ \, \cdot \, 928^{2} = 1$
$163$ $64080026$ $5019135$ $64080026^{2} \, - \, $$163$$ \, \cdot \, 5019135^{2} = 1$
$165$ $1079$ $84$ $1079^{2} \, - \, $$165$$ \, \cdot \, 84^{2} = 1$
$166$ $1700902565$ $132015642$ $1700902565^{2} \, - \, $$166$$ \, \cdot \, 132015642^{2} = 1$
$167$ $168$ $13$ $168^{2} \, - \, $$167$$ \, \cdot \, 13^{2} = 1$
$170$ $339$ $26$ $339^{2} \, - \, $$170$$ \, \cdot \, 26^{2} = 1$
$173$ $2499849$ $190060$ $2499849^{2} \, - \, $$173$$ \, \cdot \, 190060^{2} = 1$
$174$ $1451$ $110$ $1451^{2} \, - \, $$174$$ \, \cdot \, 110^{2} = 1$
$177$ $62423$ $4692$ $62423^{2} \, - \, $$177$$ \, \cdot \, 4692^{2} = 1$
$178$ $1601$ $120$ $1601^{2} \, - \, $$178$$ \, \cdot \, 120^{2} = 1$
$179$ $4190210$ $313191$ $4190210^{2} \, - \, $$179$$ \, \cdot \, 313191^{2} = 1$
$181$ $2469645423824185801$ $183567298683461940$ $2469645423824185801^{2} \, - \, $$181$$ \, \cdot \, 183567298683461940^{2} = 1$
$182$ $27$ $2$ $27^{2} \, - \, $$182$$ \, \cdot \, 2^{2} = 1$
$183$ $487$ $36$ $487^{2} \, - \, $$183$$ \, \cdot \, 36^{2} = 1$
$185$ $9249$ $680$ $9249^{2} \, - \, $$185$$ \, \cdot \, 680^{2} = 1$
$186$ $7501$ $550$ $7501^{2} \, - \, $$186$$ \, \cdot \, 550^{2} = 1$
$187$ $1682$ $123$ $1682^{2} \, - \, $$187$$ \, \cdot \, 123^{2} = 1$
$190$ $52021$ $3774$ $52021^{2} \, - \, $$190$$ \, \cdot \, 3774^{2} = 1$
$191$ $8994000$ $650783$ $8994000^{2} \, - \, $$191$$ \, \cdot \, 650783^{2} = 1$
$193$ $6224323426849$ $448036604040$ $6224323426849^{2} \, - \, $$193$$ \, \cdot \, 448036604040^{2} = 1$
$194$ $195$ $14$ $195^{2} \, - \, $$194$$ \, \cdot \, 14^{2} = 1$
$195$ $14$ $1$ $14^{2} \, - \, $$195$$ \, \cdot \, 1^{2} = 1$
$197$ $393$ $28$ $393^{2} \, - \, $$197$$ \, \cdot \, 28^{2} = 1$
$199$ $16266196520$ $1153080099$ $16266196520^{2} \, - \, $$199$$ \, \cdot \, 1153080099^{2} = 1$
$201$ $515095$ $36332$ $515095^{2} \, - \, $$201$$ \, \cdot \, 36332^{2} = 1$
$202$ $19731763$ $1388322$ $19731763^{2} \, - \, $$202$$ \, \cdot \, 1388322^{2} = 1$
$203$ $57$ $4$ $57^{2} \, - \, $$203$$ \, \cdot \, 4^{2} = 1$
$205$ $39689$ $2772$ $39689^{2} \, - \, $$205$$ \, \cdot \, 2772^{2} = 1$
$206$ $59535$ $4148$ $59535^{2} \, - \, $$206$$ \, \cdot \, 4148^{2} = 1$
$209$ $46551$ $3220$ $46551^{2} \, - \, $$209$$ \, \cdot \, 3220^{2} = 1$
$210$ $29$ $2$ $29^{2} \, - \, $$210$$ \, \cdot \, 2^{2} = 1$
$211$ $278354373650$ $19162705353$ $278354373650^{2} \, - \, $$211$$ \, \cdot \, 19162705353^{2} = 1$
$213$ $194399$ $13320$ $194399^{2} \, - \, $$213$$ \, \cdot \, 13320^{2} = 1$
$214$ $695359189925$ $47533775646$ $695359189925^{2} \, - \, $$214$$ \, \cdot \, 47533775646^{2} = 1$
$215$ $44$ $3$ $44^{2} \, - \, $$215$$ \, \cdot \, 3^{2} = 1$
$217$ $3844063$ $260952$ $3844063^{2} \, - \, $$217$$ \, \cdot \, 260952^{2} = 1$
$218$ $126003$ $8534$ $126003^{2} \, - \, $$218$$ \, \cdot \, 8534^{2} = 1$
$219$ $74$ $5$ $74^{2} \, - \, $$219$$ \, \cdot \, 5^{2} = 1$
$221$ $1665$ $112$ $1665^{2} \, - \, $$221$$ \, \cdot \, 112^{2} = 1$
$222$ $149$ $10$ $149^{2} \, - \, $$222$$ \, \cdot \, 10^{2} = 1$
$223$ $224$ $15$ $224^{2} \, - \, $$223$$ \, \cdot \, 15^{2} = 1$
$226$ $451$ $30$ $451^{2} \, - \, $$226$$ \, \cdot \, 30^{2} = 1$
$227$ $226$ $15$ $226^{2} \, - \, $$227$$ \, \cdot \, 15^{2} = 1$
$229$ $5848201$ $386460$ $5848201^{2} \, - \, $$229$$ \, \cdot \, 386460^{2} = 1$
$230$ $91$ $6$ $91^{2} \, - \, $$230$$ \, \cdot \, 6^{2} = 1$
$231$ $76$ $5$ $76^{2} \, - \, $$231$$ \, \cdot \, 5^{2} = 1$
$233$ $1072400673$ $70255304$ $1072400673^{2} \, - \, $$233$$ \, \cdot \, 70255304^{2} = 1$
$235$ $46$ $3$ $46^{2} \, - \, $$235$$ \, \cdot \, 3^{2} = 1$
$237$ $228151$ $14820$ $228151^{2} \, - \, $$237$$ \, \cdot \, 14820^{2} = 1$
$238$ $11663$ $756$ $11663^{2} \, - \, $$238$$ \, \cdot \, 756^{2} = 1$
$239$ $6195120$ $400729$ $6195120^{2} \, - \, $$239$$ \, \cdot \, 400729^{2} = 1$
$241$ $10085143557001249$ $649641205044600$ $10085143557001249^{2} \, - \, $$241$$ \, \cdot \, 649641205044600^{2} = 1$
$246$ $88805$ $5662$ $88805^{2} \, - \, $$246$$ \, \cdot \, 5662^{2} = 1$
$247$ $85292$ $5427$ $85292^{2} \, - \, $$247$$ \, \cdot \, 5427^{2} = 1$
$249$ $8553815$ $542076$ $8553815^{2} \, - \, $$249$$ \, \cdot \, 542076^{2} = 1$
$251$ $3674890$ $231957$ $3674890^{2} \, - \, $$251$$ \, \cdot \, 231957^{2} = 1$
$253$ $3222617399$ $202604220$ $3222617399^{2} \, - \, $$253$$ \, \cdot \, 202604220^{2} = 1$
$254$ $255$ $16$ $255^{2} \, - \, $$254$$ \, \cdot \, 16^{2} = 1$
$255$ $16$ $1$ $16^{2} \, - \, $$255$$ \, \cdot \, 1^{2} = 1$
$257$ $513$ $32$ $513^{2} \, - \, $$257$$ \, \cdot \, 32^{2} = 1$
$258$ $257$ $16$ $257^{2} \, - \, $$258$$ \, \cdot \, 16^{2} = 1$
$259$ $847225$ $52644$ $847225^{2} \, - \, $$259$$ \, \cdot \, 52644^{2} = 1$
$262$ $104980517$ $6485718$ $104980517^{2} \, - \, $$262$$ \, \cdot \, 6485718^{2} = 1$
$263$ $139128$ $8579$ $139128^{2} \, - \, $$263$$ \, \cdot \, 8579^{2} = 1$
$265$ $73738369$ $4529712$ $73738369^{2} \, - \, $$265$$ \, \cdot \, 4529712^{2} = 1$
$266$ $685$ $42$ $685^{2} \, - \, $$266$$ \, \cdot \, 42^{2} = 1$
$267$ $2402$ $147$ $2402^{2} \, - \, $$267$$ \, \cdot \, 147^{2} = 1$
$269$ $13449$ $820$ $13449^{2} \, - \, $$269$$ \, \cdot \, 820^{2} = 1$
$271$ $115974983600$ $7044978537$ $115974983600^{2} \, - \, $$271$$ \, \cdot \, 7044978537^{2} = 1$
$273$ $727$ $44$ $727^{2} \, - \, $$273$$ \, \cdot \, 44^{2} = 1$
$274$ $3959299$ $239190$ $3959299^{2} \, - \, $$274$$ \, \cdot \, 239190^{2} = 1$
$277$ $159150073798980475849$ $9562401173878027020$ $159150073798980475849^{2} \, - \, $$277$$ \, \cdot \, 9562401173878027020^{2} = 1$
$278$ $2501$ $150$ $2501^{2} \, - \, $$278$$ \, \cdot \, 150^{2} = 1$
$281$ $2262200630049$ $134951575480$ $2262200630049^{2} \, - \, $$281$$ \, \cdot \, 134951575480^{2} = 1$
$282$ $2351$ $140$ $2351^{2} \, - \, $$282$$ \, \cdot \, 140^{2} = 1$
$283$ $138274082$ $8219541$ $138274082^{2} \, - \, $$283$$ \, \cdot \, 8219541^{2} = 1$
$285$ $2431$ $144$ $2431^{2} \, - \, $$285$$ \, \cdot \, 144^{2} = 1$
$286$ $561835$ $33222$ $561835^{2} \, - \, $$286$$ \, \cdot \, 33222^{2} = 1$
$287$ $288$ $17$ $288^{2} \, - \, $$287$$ \, \cdot \, 17^{2} = 1$
$290$ $579$ $34$ $579^{2} \, - \, $$290$$ \, \cdot \, 34^{2} = 1$
$291$ $290$ $17$ $290^{2} \, - \, $$291$$ \, \cdot \, 17^{2} = 1$
$293$ $12320649$ $719780$ $12320649^{2} \, - \, $$293$$ \, \cdot \, 719780^{2} = 1$
$295$ $2024999$ $117900$ $2024999^{2} \, - \, $$295$$ \, \cdot \, 117900^{2} = 1$
$298$ $335473872499$ $19433479650$ $335473872499^{2} \, - \, $$298$$ \, \cdot \, 19433479650^{2} = 1$
$299$ $415$ $24$ $415^{2} \, - \, $$299$$ \, \cdot \, 24^{2} = 1$
$301$ $5883392537695$ $339113108232$ $5883392537695^{2} \, - \, $$301$$ \, \cdot \, 339113108232^{2} = 1$
$302$ $4276623$ $246092$ $4276623^{2} \, - \, $$302$$ \, \cdot \, 246092^{2} = 1$
$303$ $2524$ $145$ $2524^{2} \, - \, $$303$$ \, \cdot \, 145^{2} = 1$
$305$ $489$ $28$ $489^{2} \, - \, $$305$$ \, \cdot \, 28^{2} = 1$
$307$ $88529282$ $5052633$ $88529282^{2} \, - \, $$307$$ \, \cdot \, 5052633^{2} = 1$
$309$ $64202725495$ $3652365444$ $64202725495^{2} \, - \, $$309$$ \, \cdot \, 3652365444^{2} = 1$
$310$ $848719$ $48204$ $848719^{2} \, - \, $$310$$ \, \cdot \, 48204^{2} = 1$
$311$ $16883880$ $957397$ $16883880^{2} \, - \, $$311$$ \, \cdot \, 957397^{2} = 1$
$313$ $32188120829134849$ $1819380158564160$ $32188120829134849^{2} \, - \, $$313$$ \, \cdot \, 1819380158564160^{2} = 1$
$314$ $392499$ $22150$ $392499^{2} \, - \, $$314$$ \, \cdot \, 22150^{2} = 1$
$317$ $248678907849$ $13967198980$ $248678907849^{2} \, - \, $$317$$ \, \cdot \, 13967198980^{2} = 1$
$318$ $107$ $6$ $107^{2} \, - \, $$318$$ \, \cdot \, 6^{2} = 1$
$319$ $12901780$ $722361$ $12901780^{2} \, - \, $$319$$ \, \cdot \, 722361^{2} = 1$
$321$ $215$ $12$ $215^{2} \, - \, $$321$$ \, \cdot \, 12^{2} = 1$
$322$ $323$ $18$ $323^{2} \, - \, $$322$$ \, \cdot \, 18^{2} = 1$
$323$ $18$ $1$ $18^{2} \, - \, $$323$$ \, \cdot \, 1^{2} = 1$
$326$ $325$ $18$ $325^{2} \, - \, $$326$$ \, \cdot \, 18^{2} = 1$
$327$ $217$ $12$ $217^{2} \, - \, $$327$$ \, \cdot \, 12^{2} = 1$
$329$ $2376415$ $131016$ $2376415^{2} \, - \, $$329$$ \, \cdot \, 131016^{2} = 1$
$330$ $109$ $6$ $109^{2} \, - \, $$330$$ \, \cdot \, 6^{2} = 1$
$331$ $2785589801443970$ $153109862634573$ $2785589801443970^{2} \, - \, $$331$$ \, \cdot \, 153109862634573^{2} = 1$
$334$ $63804373719695$ $3491219999244$ $63804373719695^{2} \, - \, $$334$$ \, \cdot \, 3491219999244^{2} = 1$
$335$ $604$ $33$ $604^{2} \, - \, $$335$$ \, \cdot \, 33^{2} = 1$
$337$ $2063810353129713793$ $112422913565764752$ $2063810353129713793^{2} \, - \, $$337$$ \, \cdot \, 112422913565764752^{2} = 1$
$339$ $97970$ $5321$ $97970^{2} \, - \, $$339$$ \, \cdot \, 5321^{2} = 1$
$341$ $10626551$ $575460$ $10626551^{2} \, - \, $$341$$ \, \cdot \, 575460^{2} = 1$
$345$ $6761$ $364$ $6761^{2} \, - \, $$345$$ \, \cdot \, 364^{2} = 1$
$346$ $17299$ $930$ $17299^{2} \, - \, $$346$$ \, \cdot \, 930^{2} = 1$
$347$ $641602$ $34443$ $641602^{2} \, - \, $$347$$ \, \cdot \, 34443^{2} = 1$
$349$ $169648201$ $9081060$ $169648201^{2} \, - \, $$349$$ \, \cdot \, 9081060^{2} = 1$
$353$ $10157115393$ $540608704$ $10157115393^{2} \, - \, $$353$$ \, \cdot \, 540608704^{2} = 1$
$354$ $258065$ $13716$ $258065^{2} \, - \, $$354$$ \, \cdot \, 13716^{2} = 1$
$355$ $954809$ $50676$ $954809^{2} \, - \, $$355$$ \, \cdot \, 50676^{2} = 1$
$357$ $3401$ $180$ $3401^{2} \, - \, $$357$$ \, \cdot \, 180^{2} = 1$
$358$ $176579805797$ $9332532726$ $176579805797^{2} \, - \, $$358$$ \, \cdot \, 9332532726^{2} = 1$
$359$ $360$ $19$ $360^{2} \, - \, $$359$$ \, \cdot \, 19^{2} = 1$
$362$ $723$ $38$ $723^{2} \, - \, $$362$$ \, \cdot \, 38^{2} = 1$
$365$ $23915529$ $1251796$ $23915529^{2} \, - \, $$365$$ \, \cdot \, 1251796^{2} = 1$
$366$ $907925$ $47458$ $907925^{2} \, - \, $$366$$ \, \cdot \, 47458^{2} = 1$
$367$ $19019995568$ $992835687$ $19019995568^{2} \, - \, $$367$$ \, \cdot \, 992835687^{2} = 1$
$370$ $213859$ $11118$ $213859^{2} \, - \, $$370$$ \, \cdot \, 11118^{2} = 1$
$371$ $1695$ $88$ $1695^{2} \, - \, $$371$$ \, \cdot \, 88^{2} = 1$
$373$ $52387849$ $2712540$ $52387849^{2} \, - \, $$373$$ \, \cdot \, 2712540^{2} = 1$
$374$ $3365$ $174$ $3365^{2} \, - \, $$374$$ \, \cdot \, 174^{2} = 1$
$377$ $233$ $12$ $233^{2} \, - \, $$377$$ \, \cdot \, 12^{2} = 1$
$379$ $12941197220540690$ $664744650125541$ $12941197220540690^{2} \, - \, $$379$$ \, \cdot \, 664744650125541^{2} = 1$
$381$ $1015$ $52$ $1015^{2} \, - \, $$381$$ \, \cdot \, 52^{2} = 1$
$382$ $164998439999$ $8442054600$ $164998439999^{2} \, - \, $$382$$ \, \cdot \, 8442054600^{2} = 1$
$383$ $18768$ $959$ $18768^{2} \, - \, $$383$$ \, \cdot \, 959^{2} = 1$
$385$ $95831$ $4884$ $95831^{2} \, - \, $$385$$ \, \cdot \, 4884^{2} = 1$
$386$ $111555$ $5678$ $111555^{2} \, - \, $$386$$ \, \cdot \, 5678^{2} = 1$
$389$ $3287049$ $166660$ $3287049^{2} \, - \, $$389$$ \, \cdot \, 166660^{2} = 1$
$390$ $79$ $4$ $79^{2} \, - \, $$390$$ \, \cdot \, 4^{2} = 1$
$391$ $7338680$ $371133$ $7338680^{2} \, - \, $$391$$ \, \cdot \, 371133^{2} = 1$
$393$ $46437143$ $2342444$ $46437143^{2} \, - \, $$393$$ \, \cdot \, 2342444^{2} = 1$
$394$ $312086396361222451$ $15722685507826110$ $312086396361222451^{2} \, - \, $$394$$ \, \cdot \, 15722685507826110^{2} = 1$
$395$ $159$ $8$ $159^{2} \, - \, $$395$$ \, \cdot \, 8^{2} = 1$
$397$ $838721786045180184649$ $42094239791738433660$ $838721786045180184649^{2} \, - \, $$397$$ \, \cdot \, 42094239791738433660^{2} = 1$
$398$ $399$ $20$ $399^{2} \, - \, $$398$$ \, \cdot \, 20^{2} = 1$
$399$ $20$ $1$ $20^{2} \, - \, $$399$$ \, \cdot \, 1^{2} = 1$
$401$ $801$ $40$ $801^{2} \, - \, $$401$$ \, \cdot \, 40^{2} = 1$
$402$ $401$ $20$ $401^{2} \, - \, $$402$$ \, \cdot \, 20^{2} = 1$
$403$ $669878$ $33369$ $669878^{2} \, - \, $$403$$ \, \cdot \, 33369^{2} = 1$
$406$ $59468095$ $2951352$ $59468095^{2} \, - \, $$406$$ \, \cdot \, 2951352^{2} = 1$
$407$ $2663$ $132$ $2663^{2} \, - \, $$407$$ \, \cdot \, 132^{2} = 1$
$409$ $25052977273092427986049$ $1238789998647218582160$ $25052977273092427986049^{2} \, - \, $$409$$ \, \cdot \, 1238789998647218582160^{2} = 1$
$410$ $81$ $4$ $81^{2} \, - \, $$410$$ \, \cdot \, 4^{2} = 1$
$411$ $49730$ $2453$ $49730^{2} \, - \, $$411$$ \, \cdot \, 2453^{2} = 1$
$413$ $113399$ $5580$ $113399^{2} \, - \, $$413$$ \, \cdot \, 5580^{2} = 1$
$415$ $18412804$ $903849$ $18412804^{2} \, - \, $$415$$ \, \cdot \, 903849^{2} = 1$
$417$ $85322647$ $4178268$ $85322647^{2} \, - \, $$417$$ \, \cdot \, 4178268^{2} = 1$
$418$ $33857$ $1656$ $33857^{2} \, - \, $$418$$ \, \cdot \, 1656^{2} = 1$
$419$ $270174970$ $13198911$ $270174970^{2} \, - \, $$419$$ \, \cdot \, 13198911^{2} = 1$
$421$ $3879474045914926879468217167061449$ $189073995951839020880499780706260$ $3879474045914926879468217167061449^{2} \, - \, $$421$$ \, \cdot \, 189073995951839020880499780706260^{2} = 1$
$422$ $7022501$ $341850$ $7022501^{2} \, - \, $$422$$ \, \cdot \, 341850^{2} = 1$
$426$ $88751$ $4300$ $88751^{2} \, - \, $$426$$ \, \cdot \, 4300^{2} = 1$
$427$ $62$ $3$ $62^{2} \, - \, $$427$$ \, \cdot \, 3^{2} = 1$
$429$ $1524095$ $73584$ $1524095^{2} \, - \, $$429$$ \, \cdot \, 73584^{2} = 1$
$430$ $2862251$ $138030$ $2862251^{2} \, - \, $$430$$ \, \cdot \, 138030^{2} = 1$
$431$ $151560720$ $7300423$ $151560720^{2} \, - \, $$431$$ \, \cdot \, 7300423^{2} = 1$
$433$ $104564907854286695713$ $5025068784834899736$ $104564907854286695713^{2} \, - \, $$433$$ \, \cdot \, 5025068784834899736^{2} = 1$
$434$ $125$ $6$ $125^{2} \, - \, $$434$$ \, \cdot \, 6^{2} = 1$
$435$ $146$ $7$ $146^{2} \, - \, $$435$$ \, \cdot \, 7^{2} = 1$
$437$ $4599$ $220$ $4599^{2} \, - \, $$437$$ \, \cdot \, 220^{2} = 1$
$438$ $293$ $14$ $293^{2} \, - \, $$438$$ \, \cdot \, 14^{2} = 1$
$439$ $440$ $21$ $440^{2} \, - \, $$439$$ \, \cdot \, 21^{2} = 1$
$442$ $883$ $42$ $883^{2} \, - \, $$442$$ \, \cdot \, 42^{2} = 1$
$443$ $442$ $21$ $442^{2} \, - \, $$443$$ \, \cdot \, 21^{2} = 1$
$445$ $43468489$ $2060604$ $43468489^{2} \, - \, $$445$$ \, \cdot \, 2060604^{2} = 1$
$446$ $110166015$ $5216512$ $110166015^{2} \, - \, $$446$$ \, \cdot \, 5216512^{2} = 1$
$447$ $148$ $7$ $148^{2} \, - \, $$447$$ \, \cdot \, 7^{2} = 1$
$449$ $71798771299708449$ $3388393513402120$ $71798771299708449^{2} \, - \, $$449$$ \, \cdot \, 3388393513402120^{2} = 1$
$451$ $46471490$ $2188257$ $46471490^{2} \, - \, $$451$$ \, \cdot \, 2188257^{2} = 1$
$453$ $1653751$ $77700$ $1653751^{2} \, - \, $$453$$ \, \cdot \, 77700^{2} = 1$
$454$ $16916040084175685$ $793909098494766$ $16916040084175685^{2} \, - \, $$454$$ \, \cdot \, 793909098494766^{2} = 1$
$455$ $64$ $3$ $64^{2} \, - \, $$455$$ \, \cdot \, 3^{2} = 1$
$457$ $6983244756398928218113$ $326662411570389853632$ $6983244756398928218113^{2} \, - \, $$457$$ \, \cdot \, 326662411570389853632^{2} = 1$
$458$ $22899$ $1070$ $22899^{2} \, - \, $$458$$ \, \cdot \, 1070^{2} = 1$
$461$ $1182351890184201$ $55067617520620$ $1182351890184201^{2} \, - \, $$461$$ \, \cdot \, 55067617520620^{2} = 1$
$462$ $43$ $2$ $43^{2} \, - \, $$462$$ \, \cdot \, 2^{2} = 1$
$463$ $247512720456368$ $11502891625161$ $247512720456368^{2} \, - \, $$463$$ \, \cdot \, 11502891625161^{2} = 1$
$465$ $15871$ $736$ $15871^{2} \, - \, $$465$$ \, \cdot \, 736^{2} = 1$
$466$ $938319425$ $43466808$ $938319425^{2} \, - \, $$466$$ \, \cdot \, 43466808^{2} = 1$
$467$ $1625626$ $75225$ $1625626^{2} \, - \, $$467$$ \, \cdot \, 75225^{2} = 1$
$469$ $137215$ $6336$ $137215^{2} \, - \, $$469$$ \, \cdot \, 6336^{2} = 1$
$470$ $1691$ $78$ $1691^{2} \, - \, $$470$$ \, \cdot \, 78^{2} = 1$
$471$ $7838695$ $361188$ $7838695^{2} \, - \, $$471$$ \, \cdot \, 361188^{2} = 1$
$473$ $87$ $4$ $87^{2} \, - \, $$473$$ \, \cdot \, 4^{2} = 1$
$474$ $193549$ $8890$ $193549^{2} \, - \, $$474$$ \, \cdot \, 8890^{2} = 1$
$478$ $1617319577991743$ $73974475657896$ $1617319577991743^{2} \, - \, $$478$$ \, \cdot \, 73974475657896^{2} = 1$
$479$ $2989440$ $136591$ $2989440^{2} \, - \, $$479$$ \, \cdot \, 136591^{2} = 1$
$481$ $1859131879201$ $84769117080$ $1859131879201^{2} \, - \, $$481$$ \, \cdot \, 84769117080^{2} = 1$
$482$ $483$ $22$ $483^{2} \, - \, $$482$$ \, \cdot \, 22^{2} = 1$
$483$ $22$ $1$ $22^{2} \, - \, $$483$$ \, \cdot \, 1^{2} = 1$
$485$ $969$ $44$ $969^{2} \, - \, $$485$$ \, \cdot \, 44^{2} = 1$
$487$ $51906073840568$ $2352088722477$ $51906073840568^{2} \, - \, $$487$$ \, \cdot \, 2352088722477^{2} = 1$
$489$ $7592629975$ $343350596$ $7592629975^{2} \, - \, $$489$$ \, \cdot \, 343350596^{2} = 1$
$491$ $93628044170$ $4225374483$ $93628044170^{2} \, - \, $$491$$ \, \cdot \, 4225374483^{2} = 1$
$493$ $935662752649$ $42140131020$ $935662752649^{2} \, - \, $$493$$ \, \cdot \, 42140131020^{2} = 1$
$494$ $73035$ $3286$ $73035^{2} \, - \, $$494$$ \, \cdot \, 3286^{2} = 1$
$497$ $1201887$ $53912$ $1201887^{2} \, - \, $$497$$ \, \cdot \, 53912^{2} = 1$
$498$ $179777$ $8056$ $179777^{2} \, - \, $$498$$ \, \cdot \, 8056^{2} = 1$
$499$ $4490$ $201$ $4490^{2} \, - \, $$499$$ \, \cdot \, 201^{2} = 1$
$501$ $11242731902975$ $502288218432$ $11242731902975^{2} \, - \, $$501$$ \, \cdot \, 502288218432^{2} = 1$
$502$ $3832352837$ $171046278$ $3832352837^{2} \, - \, $$502$$ \, \cdot \, 171046278^{2} = 1$
$503$ $24648$ $1099$ $24648^{2} \, - \, $$503$$ \, \cdot \, 1099^{2} = 1$
$505$ $809$ $36$ $809^{2} \, - \, $$505$$ \, \cdot \, 36^{2} = 1$
$506$ $45$ $2$ $45^{2} \, - \, $$506$$ \, \cdot \, 2^{2} = 1$
$509$ $313201220822405001$ $13882400040814700$ $313201220822405001^{2} \, - \, $$509$$ \, \cdot \, 13882400040814700^{2} = 1$
$510$ $271$ $12$ $271^{2} \, - \, $$510$$ \, \cdot \, 12^{2} = 1$
$511$ $4188548960$ $185290497$ $4188548960^{2} \, - \, $$511$$ \, \cdot \, 185290497^{2} = 1$
$514$ $4625$ $204$ $4625^{2} \, - \, $$514$$ \, \cdot \, 204^{2} = 1$
$515$ $17406$ $767$ $17406^{2} \, - \, $$515$$ \, \cdot \, 767^{2} = 1$
$517$ $590968985399$ $25990786260$ $590968985399^{2} \, - \, $$517$$ \, \cdot \, 25990786260^{2} = 1$
$518$ $2367$ $104$ $2367^{2} \, - \, $$518$$ \, \cdot \, 104^{2} = 1$
$519$ $14851876$ $651925$ $14851876^{2} \, - \, $$519$$ \, \cdot \, 651925^{2} = 1$
$521$ $32961431500035201$ $1444066532654320$ $32961431500035201^{2} \, - \, $$521$$ \, \cdot \, 1444066532654320^{2} = 1$
$523$ $81810300626$ $3577314675$ $81810300626^{2} \, - \, $$523$$ \, \cdot \, 3577314675^{2} = 1$
$526$ $84056091546952933775$ $3665019757324295532$ $84056091546952933775^{2} \, - \, $$526$$ \, \cdot \, 3665019757324295532^{2} = 1$
$527$ $528$ $23$ $528^{2} \, - \, $$527$$ \, \cdot \, 23^{2} = 1$
$530$ $1059$ $46$ $1059^{2} \, - \, $$530$$ \, \cdot \, 46^{2} = 1$
$533$ $74859849$ $3242540$ $74859849^{2} \, - \, $$533$$ \, \cdot \, 3242540^{2} = 1$
$534$ $3678725$ $159194$ $3678725^{2} \, - \, $$534$$ \, \cdot \, 159194^{2} = 1$
$535$ $1618804$ $69987$ $1618804^{2} \, - \, $$535$$ \, \cdot \, 69987^{2} = 1$
$537$ $192349463$ $8300492$ $192349463^{2} \, - \, $$537$$ \, \cdot \, 8300492^{2} = 1$
$538$ $9536081203$ $411129654$ $9536081203^{2} \, - \, $$538$$ \, \cdot \, 411129654^{2} = 1$
$541$ $3707453360023867028800645599667005001$ $159395869721270110077187138775196900$ $3707453360023867028800645599667005001^{2} \, - \, $$541$$ \, \cdot \, 159395869721270110077187138775196900^{2} = 1$
$542$ $4293183$ $184408$ $4293183^{2} \, - \, $$542$$ \, \cdot \, 184408^{2} = 1$
$543$ $669337$ $28724$ $669337^{2} \, - \, $$543$$ \, \cdot \, 28724^{2} = 1$
$545$ $1961$ $84$ $1961^{2} \, - \, $$545$$ \, \cdot \, 84^{2} = 1$
$546$ $701$ $30$ $701^{2} \, - \, $$546$$ \, \cdot \, 30^{2} = 1$
$547$ $160177601264642$ $6848699678673$ $160177601264642^{2} \, - \, $$547$$ \, \cdot \, 6848699678673^{2} = 1$
$551$ $8380$ $357$ $8380^{2} \, - \, $$551$$ \, \cdot \, 357^{2} = 1$
$553$ $624635837407$ $26562217704$ $624635837407^{2} \, - \, $$553$$ \, \cdot \, 26562217704^{2} = 1$
$554$ $60756099699$ $2581279330$ $60756099699^{2} \, - \, $$554$$ \, \cdot \, 2581279330^{2} = 1$
$555$ $1814$ $77$ $1814^{2} \, - \, $$555$$ \, \cdot \, 77^{2} = 1$
$557$ $27849$ $1180$ $27849^{2} \, - \, $$557$$ \, \cdot \, 1180^{2} = 1$
$559$ $506568295$ $21425556$ $506568295^{2} \, - \, $$559$$ \, \cdot \, 21425556^{2} = 1$
$561$ $522785$ $22072$ $522785^{2} \, - \, $$561$$ \, \cdot \, 22072^{2} = 1$
$562$ $220938497$ $9319728$ $220938497^{2} \, - \, $$562$$ \, \cdot \, 9319728^{2} = 1$
$563$ $68122$ $2871$ $68122^{2} \, - \, $$563$$ \, \cdot \, 2871^{2} = 1$
$565$ $435259412378569$ $18311501103948$ $435259412378569^{2} \, - \, $$565$$ \, \cdot \, 18311501103948^{2} = 1$
$566$ $95609285$ $4018758$ $95609285^{2} \, - \, $$566$$ \, \cdot \, 4018758^{2} = 1$
$569$ $16760473211643448449$ $702635588524014320$ $16760473211643448449^{2} \, - \, $$569$$ \, \cdot \, 702635588524014320^{2} = 1$
$570$ $191$ $8$ $191^{2} \, - \, $$570$$ \, \cdot \, 8^{2} = 1$
$571$ $181124355061630786130$ $7579818350628982587$ $181124355061630786130^{2} \, - \, $$571$$ \, \cdot \, 7579818350628982587^{2} = 1$
$573$ $383$ $16$ $383^{2} \, - \, $$573$$ \, \cdot \, 16^{2} = 1$
$574$ $575$ $24$ $575^{2} \, - \, $$574$$ \, \cdot \, 24^{2} = 1$
$577$ $1153$ $48$ $1153^{2} \, - \, $$577$$ \, \cdot \, 48^{2} = 1$
$579$ $385$ $16$ $385^{2} \, - \, $$579$$ \, \cdot \, 16^{2} = 1$
$581$ $152071153975$ $6308974548$ $152071153975^{2} \, - \, $$581$$ \, \cdot \, 6308974548^{2} = 1$
$582$ $193$ $8$ $193^{2} \, - \, $$582$$ \, \cdot \, 8^{2} = 1$
$583$ $8429543$ $349116$ $8429543^{2} \, - \, $$583$$ \, \cdot \, 349116^{2} = 1$
$586$ $33867877212256207699$ $1399069112058008310$ $33867877212256207699^{2} \, - \, $$586$$ \, \cdot \, 1399069112058008310^{2} = 1$
$587$ $1907162$ $78717$ $1907162^{2} \, - \, $$587$$ \, \cdot \, 78717^{2} = 1$
$589$ $41423166067036218751$ $1706811823063746000$ $41423166067036218751^{2} \, - \, $$589$$ \, \cdot \, 1706811823063746000^{2} = 1$
$590$ $5781$ $238$ $5781^{2} \, - \, $$590$$ \, \cdot \, 238^{2} = 1$
$591$ $165676$ $6815$ $165676^{2} \, - \, $$591$$ \, \cdot \, 6815^{2} = 1$
$593$ $721517598849$ $29629176560$ $721517598849^{2} \, - \, $$593$$ \, \cdot \, 29629176560^{2} = 1$
$595$ $18514$ $759$ $18514^{2} \, - \, $$595$$ \, \cdot \, 759^{2} = 1$
$597$ $463287093751$ $18961078500$ $463287093751^{2} \, - \, $$597$$ \, \cdot \, 18961078500^{2} = 1$
$598$ $1574351$ $64380$ $1574351^{2} \, - \, $$598$$ \, \cdot \, 64380^{2} = 1$
$599$ $24686379794520$ $1008658133851$ $24686379794520^{2} \, - \, $$599$$ \, \cdot \, 1008658133851^{2} = 1$
$601$ $38902815462492318420311478049$ $1586878942101888360258625080$ $38902815462492318420311478049^{2} \, - \, $$601$$ \, \cdot \, 1586878942101888360258625080^{2} = 1$
$602$ $687$ $28$ $687^{2} \, - \, $$602$$ \, \cdot \, 28^{2} = 1$
$606$ $42187499$ $1713750$ $42187499^{2} \, - \, $$606$$ \, \cdot \, 1713750^{2} = 1$
$607$ $164076033968$ $6659640783$ $164076033968^{2} \, - \, $$607$$ \, \cdot \, 6659640783^{2} = 1$
$609$ $605695$ $24544$ $605695^{2} \, - \, $$609$$ \, \cdot \, 24544^{2} = 1$
$610$ $10323982819$ $418005846$ $10323982819^{2} \, - \, $$610$$ \, \cdot \, 418005846^{2} = 1$
$611$ $236926$ $9585$ $236926^{2} \, - \, $$611$$ \, \cdot \, 9585^{2} = 1$
$613$ $464018873584078278910994299849$ $18741545784831997880308784340$ $464018873584078278910994299849^{2} \, - \, $$613$$ \, \cdot \, 18741545784831997880308784340^{2} = 1$
$614$ $348291186245$ $14055888354$ $348291186245^{2} \, - \, $$614$$ \, \cdot \, 14055888354^{2} = 1$
$615$ $124$ $5$ $124^{2} \, - \, $$615$$ \, \cdot \, 5^{2} = 1$
$617$ $3363593612801313$ $135413180018248$ $3363593612801313^{2} \, - \, $$617$$ \, \cdot \, 135413180018248^{2} = 1$
$618$ $10093$ $406$ $10093^{2} \, - \, $$618$$ \, \cdot \, 406^{2} = 1$
$619$ $517213510553282930$ $20788566180548739$ $517213510553282930^{2} \, - \, $$619$$ \, \cdot \, 20788566180548739^{2} = 1$
$622$ $13804370063$ $553504812$ $13804370063^{2} \, - \, $$622$$ \, \cdot \, 553504812^{2} = 1$
$623$ $624$ $25$ $624^{2} \, - \, $$623$$ \, \cdot \, 25^{2} = 1$
$626$ $1251$ $50$ $1251^{2} \, - \, $$626$$ \, \cdot \, 50^{2} = 1$
$627$ $626$ $25$ $626^{2} \, - \, $$627$$ \, \cdot \, 25^{2} = 1$
$629$ $123245001$ $4914100$ $123245001^{2} \, - \, $$629$$ \, \cdot \, 4914100^{2} = 1$
$631$ $48961575312998650035560$ $1949129537575151036427$ $48961575312998650035560^{2} \, - \, $$631$$ \, \cdot \, 1949129537575151036427^{2} = 1$
$633$ $440772247$ $17519124$ $440772247^{2} \, - \, $$633$$ \, \cdot \, 17519124^{2} = 1$
$634$ $8711856945587257031251$ $345992039259400361250$ $8711856945587257031251^{2} \, - \, $$634$$ \, \cdot \, 345992039259400361250^{2} = 1$
$635$ $126$ $5$ $126^{2} \, - \, $$635$$ \, \cdot \, 5^{2} = 1$
$638$ $42283$ $1674$ $42283^{2} \, - \, $$638$$ \, \cdot \, 1674^{2} = 1$
$641$ $2609429220845977814049$ $103066257550962737720$ $2609429220845977814049^{2} \, - \, $$641$$ \, \cdot \, 103066257550962737720^{2} = 1$
$642$ $5777$ $228$ $5777^{2} \, - \, $$642$$ \, \cdot \, 228^{2} = 1$
$643$ $1988960193026$ $78436933185$ $1988960193026^{2} \, - \, $$643$$ \, \cdot \, 78436933185^{2} = 1$
$645$ $1024001$ $40320$ $1024001^{2} \, - \, $$645$$ \, \cdot \, 40320^{2} = 1$
$646$ $305$ $12$ $305^{2} \, - \, $$646$$ \, \cdot \, 12^{2} = 1$
$647$ $120187368$ $4725053$ $120187368^{2} \, - \, $$647$$ \, \cdot \, 4725053^{2} = 1$
$649$ $1123593226162199$ $44104892095380$ $1123593226162199^{2} \, - \, $$649$$ \, \cdot \, 44104892095380^{2} = 1$
$651$ $1735$ $68$ $1735^{2} \, - \, $$651$$ \, \cdot \, 68^{2} = 1$
$653$ $10499986568677299849$ $410896226494013260$ $10499986568677299849^{2} \, - \, $$653$$ \, \cdot \, 410896226494013260^{2} = 1$
$654$ $8915765$ $348634$ $8915765^{2} \, - \, $$654$$ \, \cdot \, 348634^{2} = 1$
$655$ $737709209$ $28824684$ $737709209^{2} \, - \, $$655$$ \, \cdot \, 28824684^{2} = 1$
$658$ $1693$ $66$ $1693^{2} \, - \, $$658$$ \, \cdot \, 66^{2} = 1$
$659$ $5930$ $231$ $5930^{2} \, - \, $$659$$ \, \cdot \, 231^{2} = 1$
$661$ $16421658242965910275055840472270471049$ $638728478116949861246791167518480580$ $16421658242965910275055840472270471049^{2} \, - \, $$661$$ \, \cdot \, 638728478116949861246791167518480580^{2} = 1$
$662$ $1718102501$ $66775950$ $1718102501^{2} \, - \, $$662$$ \, \cdot \, 66775950^{2} = 1$
$663$ $103$ $4$ $103^{2} \, - \, $$663$$ \, \cdot \, 4^{2} = 1$
$665$ $13719$ $532$ $13719^{2} \, - \, $$665$$ \, \cdot \, 532^{2} = 1$
$667$ $107119097$ $4147668$ $107119097^{2} \, - \, $$667$$ \, \cdot \, 4147668^{2} = 1$
$669$ $14226117859054135$ $550013492618436$ $14226117859054135^{2} \, - \, $$669$$ \, \cdot \, 550013492618436^{2} = 1$
$670$ $5791211$ $223734$ $5791211^{2} \, - \, $$670$$ \, \cdot \, 223734^{2} = 1$
$671$ $58620$ $2263$ $58620^{2} \, - \, $$671$$ \, \cdot \, 2263^{2} = 1$
$673$ $4765506835465395993032041249$ $183696788896587421699032600$ $4765506835465395993032041249^{2} \, - \, $$673$$ \, \cdot \, 183696788896587421699032600^{2} = 1$
$674$ $675$ $26$ $675^{2} \, - \, $$674$$ \, \cdot \, 26^{2} = 1$
$677$ $1353$ $52$ $1353^{2} \, - \, $$677$$ \, \cdot \, 52^{2} = 1$
$678$ $677$ $26$ $677^{2} \, - \, $$678$$ \, \cdot \, 26^{2} = 1$
$679$ $17792625320$ $682818291$ $17792625320^{2} \, - \, $$679$$ \, \cdot \, 682818291^{2} = 1$
$681$ $10743166003415$ $411679015748$ $10743166003415^{2} \, - \, $$681$$ \, \cdot \, 411679015748^{2} = 1$
$682$ $1197901$ $45870$ $1197901^{2} \, - \, $$682$$ \, \cdot \, 45870^{2} = 1$
$683$ $170067682$ $6507459$ $170067682^{2} \, - \, $$683$$ \, \cdot \, 6507459^{2} = 1$
$685$ $95592800063517769$ $3652413145693884$ $95592800063517769^{2} \, - \, $$685$$ \, \cdot \, 3652413145693884^{2} = 1$
$687$ $165337$ $6308$ $165337^{2} \, - \, $$687$$ \, \cdot \, 6308^{2} = 1$
$689$ $105$ $4$ $105^{2} \, - \, $$689$$ \, \cdot \, 4^{2} = 1$
$690$ $1471$ $56$ $1471^{2} \, - \, $$690$$ \, \cdot \, 56^{2} = 1$
$691$ $31138100617500578690$ $1184549173291009383$ $31138100617500578690^{2} \, - \, $$691$$ \, \cdot \, 1184549173291009383^{2} = 1$
$694$ $38782105445014642382885$ $1472148590903997672114$ $38782105445014642382885^{2} \, - \, $$694$$ \, \cdot \, 1472148590903997672114^{2} = 1$
$695$ $33639$ $1276$ $33639^{2} \, - \, $$695$$ \, \cdot \, 1276^{2} = 1$
$697$ $34849$ $1320$ $34849^{2} \, - \, $$697$$ \, \cdot \, 1320^{2} = 1$
$698$ $51999603$ $1968214$ $51999603^{2} \, - \, $$698$$ \, \cdot \, 1968214^{2} = 1$
$699$ $2271050$ $85899$ $2271050^{2} \, - \, $$699$$ \, \cdot \, 85899^{2} = 1$
$701$ $277631049$ $10485980$ $277631049^{2} \, - \, $$701$$ \, \cdot \, 10485980^{2} = 1$
$703$ $1159172$ $43719$ $1159172^{2} \, - \, $$703$$ \, \cdot \, 43719^{2} = 1$
$705$ $237161$ $8932$ $237161^{2} \, - \, $$705$$ \, \cdot \, 8932^{2} = 1$
$706$ $34595$ $1302$ $34595^{2} \, - \, $$706$$ \, \cdot \, 1302^{2} = 1$
$707$ $2526$ $95$ $2526^{2} \, - \, $$707$$ \, \cdot \, 95^{2} = 1$
$709$ $665782673992201$ $25003993164540$ $665782673992201^{2} \, - \, $$709$$ \, \cdot \, 25003993164540^{2} = 1$
$710$ $1279$ $48$ $1279^{2} \, - \, $$710$$ \, \cdot \, 48^{2} = 1$
$713$ $5286367$ $197976$ $5286367^{2} \, - \, $$713$$ \, \cdot \, 197976^{2} = 1$
$714$ $4115$ $154$ $4115^{2} \, - \, $$714$$ \, \cdot \, 154^{2} = 1$
$715$ $75646$ $2829$ $75646^{2} \, - \, $$715$$ \, \cdot \, 2829^{2} = 1$
$717$ $6998399$ $261360$ $6998399^{2} \, - \, $$717$$ \, \cdot \, 261360^{2} = 1$
$718$ $8933399183036079503$ $333391496474140716$ $8933399183036079503^{2} \, - \, $$718$$ \, \cdot \, 333391496474140716^{2} = 1$
$719$ $403480310400$ $15047276489$ $403480310400^{2} \, - \, $$719$$ \, \cdot \, 15047276489^{2} = 1$
$721$ $18632176943292415$ $693898530122112$ $18632176943292415^{2} \, - \, $$721$$ \, \cdot \, 693898530122112^{2} = 1$
$723$ $242$ $9$ $242^{2} \, - \, $$723$$ \, \cdot \, 9^{2} = 1$
$727$ $728$ $27$ $728^{2} \, - \, $$727$$ \, \cdot \, 27^{2} = 1$
$730$ $1459$ $54$ $1459^{2} \, - \, $$730$$ \, \cdot \, 54^{2} = 1$
$731$ $730$ $27$ $730^{2} \, - \, $$731$$ \, \cdot \, 27^{2} = 1$
$733$ $195307849$ $7213860$ $195307849^{2} \, - \, $$733$$ \, \cdot \, 7213860^{2} = 1$
$734$ $10394175$ $383656$ $10394175^{2} \, - \, $$734$$ \, \cdot \, 383656^{2} = 1$
$737$ $252975383$ $9318468$ $252975383^{2} \, - \, $$737$$ \, \cdot \, 9318468^{2} = 1$
$739$ $98015661073616742153890$ $3605564376516452758671$ $98015661073616742153890^{2} \, - \, $$739$$ \, \cdot \, 3605564376516452758671^{2} = 1$
$741$ $7352695$ $270108$ $7352695^{2} \, - \, $$741$$ \, \cdot \, 270108^{2} = 1$
$742$ $263091151$ $9658380$ $263091151^{2} \, - \, $$742$$ \, \cdot \, 9658380^{2} = 1$
$743$ $714024$ $26195$ $714024^{2} \, - \, $$743$$ \, \cdot \, 26195^{2} = 1$
$745$ $12769001$ $467820$ $12769001^{2} \, - \, $$745$$ \, \cdot \, 467820^{2} = 1$
$746$ $61268974069299$ $2243216519470$ $61268974069299^{2} \, - \, $$746$$ \, \cdot \, 2243216519470^{2} = 1$
$749$ $1084616384895$ $39631020176$ $1084616384895^{2} \, - \, $$749$$ \, \cdot \, 39631020176^{2} = 1$
$751$ $7293318466794882424418960$ $266136970677206024456793$ $7293318466794882424418960^{2} \, - \, $$751$$ \, \cdot \, 266136970677206024456793^{2} = 1$
$753$ $308526027863$ $11243313484$ $308526027863^{2} \, - \, $$753$$ \, \cdot \, 11243313484^{2} = 1$
$754$ $836977699$ $30480930$ $836977699^{2} \, - \, $$754$$ \, \cdot \, 30480930^{2} = 1$
$755$ $1209$ $44$ $1209^{2} \, - \, $$755$$ \, \cdot \, 44^{2} = 1$
$757$ $3750107388553$ $136299971388$ $3750107388553^{2} \, - \, $$757$$ \, \cdot \, 136299971388^{2} = 1$
$758$ $413959717$ $15035694$ $413959717^{2} \, - \, $$758$$ \, \cdot \, 15035694^{2} = 1$
$759$ $551$ $20$ $551^{2} \, - \, $$759$$ \, \cdot \, 20^{2} = 1$
$761$ $1280001$ $46400$ $1280001^{2} \, - \, $$761$$ \, \cdot \, 46400^{2} = 1$
$762$ $6349$ $230$ $6349^{2} \, - \, $$762$$ \, \cdot \, 230^{2} = 1$
$763$ $719724601$ $26055780$ $719724601^{2} \, - \, $$763$$ \, \cdot \, 26055780^{2} = 1$
$766$ $145933611945744638015$ $5272795728865625208$ $145933611945744638015^{2} \, - \, $$766$$ \, \cdot \, 5272795728865625208^{2} = 1$
$767$ $31212$ $1127$ $31212^{2} \, - \, $$767$$ \, \cdot \, 1127^{2} = 1$
$769$ $535781868388881310859702308423201$ $19320788325040337217824455505160$ $535781868388881310859702308423201^{2} \, - \, $$769$$ \, \cdot \, 19320788325040337217824455505160^{2} = 1$
$770$ $111$ $4$ $111^{2} \, - \, $$770$$ \, \cdot \, 4^{2} = 1$
$771$ $2989136930$ $107651137$ $2989136930^{2} \, - \, $$771$$ \, \cdot \, 107651137^{2} = 1$
$773$ $3607394696649$ $129748968980$ $3607394696649^{2} \, - \, $$773$$ \, \cdot \, 129748968980^{2} = 1$
$777$ $223$ $8$ $223^{2} \, - \, $$777$$ \, \cdot \, 8^{2} = 1$
$778$ $5964562960504723$ $213839942395674$ $5964562960504723^{2} \, - \, $$778$$ \, \cdot \, 213839942395674^{2} = 1$
$779$ $11785490$ $422259$ $11785490^{2} \, - \, $$779$$ \, \cdot \, 422259^{2} = 1$
$781$ $67606199$ $2419140$ $67606199^{2} \, - \, $$781$$ \, \cdot \, 2419140^{2} = 1$
$782$ $783$ $28$ $783^{2} \, - \, $$782$$ \, \cdot \, 28^{2} = 1$
$785$ $1569$ $56$ $1569^{2} \, - \, $$785$$ \, \cdot \, 56^{2} = 1$
$786$ $785$ $28$ $785^{2} \, - \, $$786$$ \, \cdot \, 28^{2} = 1$
$787$ $34625394242$ $1234262007$ $34625394242^{2} \, - \, $$787$$ \, \cdot \, 1234262007^{2} = 1$
$789$ $16116667272575$ $573768548496$ $16116667272575^{2} \, - \, $$789$$ \, \cdot \, 573768548496^{2} = 1$
$790$ $6616066879$ $235389096$ $6616066879^{2} \, - \, $$790$$ \, \cdot \, 235389096^{2} = 1$
$791$ $225$ $8$ $225^{2} \, - \, $$791$$ \, \cdot \, 8^{2} = 1$
$793$ $4393$ $156$ $4393^{2} \, - \, $$793$$ \, \cdot \, 156^{2} = 1$
$794$ $1828310451$ $64884310$ $1828310451^{2} \, - \, $$794$$ \, \cdot \, 64884310^{2} = 1$
$795$ $6626$ $235$ $6626^{2} \, - \, $$795$$ \, \cdot \, 235^{2} = 1$
$797$ $1221759532448649$ $43276943002540$ $1221759532448649^{2} \, - \, $$797$$ \, \cdot \, 43276943002540^{2} = 1$
$798$ $113$ $4$ $113^{2} \, - \, $$798$$ \, \cdot \, 4^{2} = 1$
$799$ $424$ $15$ $424^{2} \, - \, $$799$$ \, \cdot \, 15^{2} = 1$
$802$ $295496099$ $10434330$ $295496099^{2} \, - \, $$802$$ \, \cdot \, 10434330^{2} = 1$
$803$ $7226$ $255$ $7226^{2} \, - \, $$803$$ \, \cdot \, 255^{2} = 1$
$805$ $1514868641$ $53392104$ $1514868641^{2} \, - \, $$805$$ \, \cdot \, 53392104^{2} = 1$
$806$ $6166395$ $217202$ $6166395^{2} \, - \, $$806$$ \, \cdot \, 217202^{2} = 1$
$807$ $51841948$ $1824923$ $51841948^{2} \, - \, $$807$$ \, \cdot \, 1824923^{2} = 1$
$809$ $376455160998025676163201$ $13235458622462202510640$ $376455160998025676163201^{2} \, - \, $$809$$ \, \cdot \, 13235458622462202510640^{2} = 1$
$811$ $1382072163578616410$ $48531117622921197$ $1382072163578616410^{2} \, - \, $$811$$ \, \cdot \, 48531117622921197^{2} = 1$
$813$ $2167$ $76$ $2167^{2} \, - \, $$813$$ \, \cdot \, 76^{2} = 1$
$814$ $4206992174549$ $147454999410$ $4206992174549^{2} \, - \, $$814$$ \, \cdot \, 147454999410^{2} = 1$
$815$ $156644$ $5487$ $156644^{2} \, - \, $$815$$ \, \cdot \, 5487^{2} = 1$
$817$ $343$ $12$ $343^{2} \, - \, $$817$$ \, \cdot \, 12^{2} = 1$
$818$ $40899$ $1430$ $40899^{2} \, - \, $$818$$ \, \cdot \, 1430^{2} = 1$
$821$ $9000987377460935993101449$ $314136625452886403879740$ $9000987377460935993101449^{2} \, - \, $$821$$ \, \cdot \, 314136625452886403879740^{2} = 1$
$822$ $7397$ $258$ $7397^{2} \, - \, $$822$$ \, \cdot \, 258^{2} = 1$
$823$ $235170474903644006168$ $8197527430497636651$ $235170474903644006168^{2} \, - \, $$823$$ \, \cdot \, 8197527430497636651^{2} = 1$
$826$ $222239304685$ $7732694382$ $222239304685^{2} \, - \, $$826$$ \, \cdot \, 7732694382^{2} = 1$
$827$ $900602$ $31317$ $900602^{2} \, - \, $$827$$ \, \cdot \, 31317^{2} = 1$
$829$ $479835713751049$ $16665383182260$ $479835713751049^{2} \, - \, $$829$$ \, \cdot \, 16665383182260^{2} = 1$
$830$ $146411$ $5082$ $146411^{2} \, - \, $$830$$ \, \cdot \, 5082^{2} = 1$
$831$ $9799705$ $339948$ $9799705^{2} \, - \, $$831$$ \, \cdot \, 339948^{2} = 1$
$834$ $6552578705$ $226897244$ $6552578705^{2} \, - \, $$834$$ \, \cdot \, 226897244^{2} = 1$
$835$ $34336355806$ $1188258591$ $34336355806^{2} \, - \, $$835$$ \, \cdot \, 1188258591^{2} = 1$
$838$ $42112785797$ $1454762046$ $42112785797^{2} \, - \, $$838$$ \, \cdot \, 1454762046^{2} = 1$
$839$ $840$ $29$ $840^{2} \, - \, $$839$$ \, \cdot \, 29^{2} = 1$
$842$ $1683$ $58$ $1683^{2} \, - \, $$842$$ \, \cdot \, 58^{2} = 1$
$843$ $842$ $29$ $842^{2} \, - \, $$843$$ \, \cdot \, 29^{2} = 1$
$849$ $1501654712948695$ $51536656330476$ $1501654712948695^{2} \, - \, $$849$$ \, \cdot \, 51536656330476^{2} = 1$
$851$ $8418574$ $288585$ $8418574^{2} \, - \, $$851$$ \, \cdot \, 288585^{2} = 1$
$853$ $215454135724113414336120649$ $7377009103065498851032020$ $215454135724113414336120649^{2} \, - \, $$853$$ \, \cdot \, 7377009103065498851032020^{2} = 1$
$854$ $1294299$ $44290$ $1294299^{2} \, - \, $$854$$ \, \cdot \, 44290^{2} = 1$
$857$ $131822292741249$ $4502963741200$ $131822292741249^{2} \, - \, $$857$$ \, \cdot \, 4502963741200^{2} = 1$
$858$ $703$ $24$ $703^{2} \, - \, $$858$$ \, \cdot \, 24^{2} = 1$
$859$ $2058844771979643060124010$ $70246877103894937291269$ $2058844771979643060124010^{2} \, - \, $$859$$ \, \cdot \, 70246877103894937291269^{2} = 1$
$861$ $541601801$ $18457740$ $541601801^{2} \, - \, $$861$$ \, \cdot \, 18457740^{2} = 1$
$862$ $358022566147312125503$ $12194296994921665128$ $358022566147312125503^{2} \, - \, $$862$$ \, \cdot \, 12194296994921665128^{2} = 1$
$863$ $18524026608$ $630565199$ $18524026608^{2} \, - \, $$863$$ \, \cdot \, 630565199^{2} = 1$
$865$ $242688628535063329$ $8251660923733224$ $242688628535063329^{2} \, - \, $$865$$ \, \cdot \, 8251660923733224^{2} = 1$
$866$ $42435$ $1442$ $42435^{2} \, - \, $$866$$ \, \cdot \, 1442^{2} = 1$
$869$ $60192738698751$ $2041898807200$ $60192738698751^{2} \, - \, $$869$$ \, \cdot \, 2041898807200^{2} = 1$
$870$ $59$ $2$ $59^{2} \, - \, $$870$$ \, \cdot \, 2^{2} = 1$
$871$ $19442812076$ $658794555$ $19442812076^{2} \, - \, $$871$$ \, \cdot \, 658794555^{2} = 1$
$874$ $3725$ $126$ $3725^{2} \, - \, $$874$$ \, \cdot \, 126^{2} = 1$
$877$ $116476476553$ $3933131148$ $116476476553^{2} \, - \, $$877$$ \, \cdot \, 3933131148^{2} = 1$
$878$ $9314703$ $314356$ $9314703^{2} \, - \, $$878$$ \, \cdot \, 314356^{2} = 1$
$879$ $107245324$ $3617295$ $107245324^{2} \, - \, $$879$$ \, \cdot \, 3617295^{2} = 1$
$881$ $22606256615916825861249$ $761624136944072910800$ $22606256615916825861249^{2} \, - \, $$881$$ \, \cdot \, 761624136944072910800^{2} = 1$
$883$ $34878475759617272473442$ $1173754162936357802169$ $34878475759617272473442^{2} \, - \, $$883$$ \, \cdot \, 1173754162936357802169^{2} = 1$
$885$ $119$ $4$ $119^{2} \, - \, $$885$$ \, \cdot \, 4^{2} = 1$
$886$ $7743524593057655851637765$ $260148796464024194850378$ $7743524593057655851637765^{2} \, - \, $$886$$ \, \cdot \, 260148796464024194850378^{2} = 1$
$887$ $469224$ $15755$ $469224^{2} \, - \, $$887$$ \, \cdot \, 15755^{2} = 1$
$889$ $13231974717803657215$ $443786188413453504$ $13231974717803657215^{2} \, - \, $$889$$ \, \cdot \, 443786188413453504^{2} = 1$
$890$ $179$ $6$ $179^{2} \, - \, $$890$$ \, \cdot \, 6^{2} = 1$
$893$ $6091434999$ $203842100$ $6091434999^{2} \, - \, $$893$$ \, \cdot \, 203842100^{2} = 1$
$894$ $299$ $10$ $299^{2} \, - \, $$894$$ \, \cdot \, 10^{2} = 1$
$895$ $359$ $12$ $359^{2} \, - \, $$895$$ \, \cdot \, 12^{2} = 1$
$897$ $599$ $20$ $599^{2} \, - \, $$897$$ \, \cdot \, 20^{2} = 1$
$898$ $899$ $30$ $899^{2} \, - \, $$898$$ \, \cdot \, 30^{2} = 1$
$899$ $30$ $1$ $30^{2} \, - \, $$899$$ \, \cdot \, 1^{2} = 1$
$901$ $1801$ $60$ $1801^{2} \, - \, $$901$$ \, \cdot \, 60^{2} = 1$
$902$ $901$ $30$ $901^{2} \, - \, $$902$$ \, \cdot \, 30^{2} = 1$
$903$ $601$ $20$ $601^{2} \, - \, $$903$$ \, \cdot \, 20^{2} = 1$
$905$ $361$ $12$ $361^{2} \, - \, $$905$$ \, \cdot \, 12^{2} = 1$
$906$ $301$ $10$ $301^{2} \, - \, $$906$$ \, \cdot \, 10^{2} = 1$
$907$ $123823410343073497682$ $4111488857741309517$ $123823410343073497682^{2} \, - \, $$907$$ \, \cdot \, 4111488857741309517^{2} = 1$
$910$ $181$ $6$ $181^{2} \, - \, $$910$$ \, \cdot \, 6^{2} = 1$
$911$ $371832584927520$ $12319363142953$ $371832584927520^{2} \, - \, $$911$$ \, \cdot \, 12319363142953^{2} = 1$
$913$ $515734243080407$ $17068312251564$ $515734243080407^{2} \, - \, $$913$$ \, \cdot \, 17068312251564^{2} = 1$
$914$ $62563299$ $2069410$ $62563299^{2} \, - \, $$914$$ \, \cdot \, 2069410^{2} = 1$
$915$ $121$ $4$ $121^{2} \, - \, $$915$$ \, \cdot \, 4^{2} = 1$
$917$ $823604599$ $27197820$ $823604599^{2} \, - \, $$917$$ \, \cdot \, 27197820^{2} = 1$
$919$ $4481603010937119451551263720$ $147834442396536759781499589$ $4481603010937119451551263720^{2} \, - \, $$919$$ \, \cdot \, 147834442396536759781499589^{2} = 1$
$921$ $2522057712835735$ $83104627139412$ $2522057712835735^{2} \, - \, $$921$$ \, \cdot \, 83104627139412^{2} = 1$
$922$ $351605368773852499$ $11579506138834350$ $351605368773852499^{2} \, - \, $$922$$ \, \cdot \, 11579506138834350^{2} = 1$
$923$ $638$ $21$ $638^{2} \, - \, $$923$$ \, \cdot \, 21^{2} = 1$
$926$ $304560297142335$ $10008472361032$ $304560297142335^{2} \, - \, $$926$$ \, \cdot \, 10008472361032^{2} = 1$
$929$ $13224937103288377430049$ $433896111669844912840$ $13224937103288377430049^{2} \, - \, $$929$$ \, \cdot \, 433896111669844912840^{2} = 1$
$930$ $61$ $2$ $61^{2} \, - \, $$930$$ \, \cdot \, 2^{2} = 1$
$933$ $75263$ $2464$ $75263^{2} \, - \, $$933$$ \, \cdot \, 2464^{2} = 1$
$934$ $3034565$ $99294$ $3034565^{2} \, - \, $$934$$ \, \cdot \, 99294^{2} = 1$
$935$ $1376$ $45$ $1376^{2} \, - \, $$935$$ \, \cdot \, 45^{2} = 1$
$937$ $480644425002415999597113107233$ $15701968936415353889062192632$ $480644425002415999597113107233^{2} \, - \, $$937$$ \, \cdot \, 15701968936415353889062192632^{2} = 1$
$938$ $17151$ $560$ $17151^{2} \, - \, $$938$$ \, \cdot \, 560^{2} = 1$
$939$ $122695$ $4004$ $122695^{2} \, - \, $$939$$ \, \cdot \, 4004^{2} = 1$
$941$ $1068924905989944201$ $34845956052079180$ $1068924905989944201^{2} \, - \, $$941$$ \, \cdot \, 34845956052079180^{2} = 1$
$942$ $106133$ $3458$ $106133^{2} \, - \, $$942$$ \, \cdot \, 3458^{2} = 1$
$943$ $737$ $24$ $737^{2} \, - \, $$943$$ \, \cdot \, 24^{2} = 1$
$946$ $45225786400145$ $1470417148788$ $45225786400145^{2} \, - \, $$946$$ \, \cdot \, 1470417148788^{2} = 1$
$947$ $13509645362$ $439004487$ $13509645362^{2} \, - \, $$947$$ \, \cdot \, 439004487^{2} = 1$
$949$ $609622436806639069525576201$ $19789181711517243032971740$ $609622436806639069525576201^{2} \, - \, $$949$$ \, \cdot \, 19789181711517243032971740^{2} = 1$
$951$ $224208076$ $7270445$ $224208076^{2} \, - \, $$951$$ \, \cdot \, 7270445^{2} = 1$
$953$ $15090531843660371073$ $488830275367615376$ $15090531843660371073^{2} \, - \, $$953$$ \, \cdot \, 488830275367615376^{2} = 1$
$955$ $2095256249$ $67800900$ $2095256249^{2} \, - \, $$955$$ \, \cdot \, 67800900^{2} = 1$
$957$ $14849$ $480$ $14849^{2} \, - \, $$957$$ \, \cdot \, 480^{2} = 1$
$958$ $16762522330425599$ $541572514048560$ $16762522330425599^{2} \, - \, $$958$$ \, \cdot \, 541572514048560^{2} = 1$
$959$ $960$ $31$ $960^{2} \, - \, $$959$$ \, \cdot \, 31^{2} = 1$
$962$ $1923$ $62$ $1923^{2} \, - \, $$962$$ \, \cdot \, 62^{2} = 1$
$965$ $446526729$ $14374204$ $446526729^{2} \, - \, $$965$$ \, \cdot \, 14374204^{2} = 1$
$966$ $57499$ $1850$ $57499^{2} \, - \, $$966$$ \, \cdot \, 1850^{2} = 1$
$967$ $4649532557817485528$ $149518887194649693$ $4649532557817485528^{2} \, - \, $$967$$ \, \cdot \, 149518887194649693^{2} = 1$
$969$ $13588951$ $436540$ $13588951^{2} \, - \, $$969$$ \, \cdot \, 436540^{2} = 1$
$970$ $215395035859$ $6915917802$ $215395035859^{2} \, - \, $$970$$ \, \cdot \, 6915917802^{2} = 1$
$971$ $12479806786330$ $400496058813$ $12479806786330^{2} \, - \, $$971$$ \, \cdot \, 400496058813^{2} = 1$
$973$ $903223$ $28956$ $903223^{2} \, - \, $$973$$ \, \cdot \, 28956^{2} = 1$
$974$ $488825745235215$ $15662987185124$ $488825745235215^{2} \, - \, $$974$$ \, \cdot \, 15662987185124^{2} = 1$
$977$ $108832847723078562849$ $3481871275306470280$ $108832847723078562849^{2} \, - \, $$977$$ \, \cdot \, 3481871275306470280^{2} = 1$
$978$ $118337$ $3784$ $118337^{2} \, - \, $$978$$ \, \cdot \, 3784^{2} = 1$
$979$ $360449$ $11520$ $360449^{2} \, - \, $$979$$ \, \cdot \, 11520^{2} = 1$
$982$ $8837$ $282$ $8837^{2} \, - \, $$982$$ \, \cdot \, 282^{2} = 1$
$983$ $284088$ $9061$ $284088^{2} \, - \, $$983$$ \, \cdot \, 9061^{2} = 1$
$985$ $332929$ $10608$ $332929^{2} \, - \, $$985$$ \, \cdot \, 10608^{2} = 1$
$986$ $49299$ $1570$ $49299^{2} \, - \, $$986$$ \, \cdot \, 1570^{2} = 1$
$987$ $377$ $12$ $377^{2} \, - \, $$987$$ \, \cdot \, 12^{2} = 1$
$989$ $550271588560695$ $17497618534396$ $550271588560695^{2} \, - \, $$989$$ \, \cdot \, 17497618534396^{2} = 1$
$991$ $379516400906811930638014896080$ $12055735790331359447442538767$ $379516400906811930638014896080^{2} \, - \, $$991$$ \, \cdot \, 12055735790331359447442538767^{2} = 1$
$993$ $2647$ $84$ $2647^{2} \, - \, $$993$$ \, \cdot \, 84^{2} = 1$
$994$ $1135$ $36$ $1135^{2} \, - \, $$994$$ \, \cdot \, 36^{2} = 1$
$995$ $8835999$ $280120$ $8835999^{2} \, - \, $$995$$ \, \cdot \, 280120^{2} = 1$
$997$ $14418057673$ $456624468$ $14418057673^{2} \, - \, $$997$$ \, \cdot \, 456624468^{2} = 1$
$998$ $984076901$ $31150410$ $984076901^{2} \, - \, $$998$$ \, \cdot \, 31150410^{2} = 1$