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$ |