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 |
|---|---|---|---|
| $1001$ | $1060905$ | $33532$ | $1060905^{2} \, - \, $$1001$$ \, \cdot \, 33532^{2} = 1$ |
| $1002$ | $206869247$ | $6535248$ | $206869247^{2} \, - \, $$1002$$ \, \cdot \, 6535248^{2} = 1$ |
| $1003$ | $9026$ | $285$ | $9026^{2} \, - \, $$1003$$ \, \cdot \, 285^{2} = 1$ |
| $1005$ | $2950149761$ | $93059568$ | $2950149761^{2} \, - \, $$1005$$ \, \cdot \, 93059568^{2} = 1$ |
| $1006$ | $14125267563780214605455$ | $445346140255574921748$ | $14125267563780214605455^{2} \, - \, $$1006$$ \, \cdot \, 445346140255574921748^{2} = 1$ |
| $1007$ | $476$ | $15$ | $476^{2} \, - \, $$1007$$ \, \cdot \, 15^{2} = 1$ |
| $1009$ | $583201$ | $18360$ | $583201^{2} \, - \, $$1009$$ \, \cdot \, 18360^{2} = 1$ |
| $1010$ | $3395619$ | $106846$ | $3395619^{2} \, - \, $$1010$$ \, \cdot \, 106846^{2} = 1$ |
| $1011$ | $8426$ | $265$ | $8426^{2} \, - \, $$1011$$ \, \cdot \, 265^{2} = 1$ |
| $1013$ | $309159979019115849$ | $9713562669309460$ | $309159979019115849^{2} \, - \, $$1013$$ \, \cdot \, 9713562669309460^{2} = 1$ |
| $1015$ | $352871$ | $11076$ | $352871^{2} \, - \, $$1015$$ \, \cdot \, 11076^{2} = 1$ |
| $1018$ | $15155578752298003$ | $475005498176334$ | $15155578752298003^{2} \, - \, $$1018$$ \, \cdot \, 475005498176334^{2} = 1$ |
| $1019$ | $6089923321730$ | $190776436539$ | $6089923321730^{2} \, - \, $$1019$$ \, \cdot \, 190776436539^{2} = 1$ |
| $1021$ | $198723867690977573219668252231077415636351801801$ | $6219237759214762827187409503019432615976684540$ | $198723867690977573219668252231077415636351801801^{2} \, - \, $$1021$$ \, \cdot \, 6219237759214762827187409503019432615976684540^{2} = 1$ |
| $1022$ | $1023$ | $32$ | $1023^{2} \, - \, $$1022$$ \, \cdot \, 32^{2} = 1$ |
| $1023$ | $32$ | $1$ | $32^{2} \, - \, $$1023$$ \, \cdot \, 1^{2} = 1$ |
| $1027$ | $133150393$ | $4154868$ | $133150393^{2} \, - \, $$1027$$ \, \cdot \, 4154868^{2} = 1$ |
| $1030$ | $884307011291$ | $27553987434$ | $884307011291^{2} \, - \, $$1030$$ \, \cdot \, 27553987434^{2} = 1$ |
| $1031$ | $651737448664200$ | $20297537082877$ | $651737448664200^{2} \, - \, $$1031$$ \, \cdot \, 20297537082877^{2} = 1$ |
| $1033$ | $69833593956354694952807071952492833$ | $2172772383489805842331071281808456$ | $69833593956354694952807071952492833^{2} \, - \, $$1033$$ \, \cdot \, 2172772383489805842331071281808456^{2} = 1$ |
| $1034$ | $15885$ | $494$ | $15885^{2} \, - \, $$1034$$ \, \cdot \, 494^{2} = 1$ |
| $1037$ | $8710152963849$ | $270480776020$ | $8710152963849^{2} \, - \, $$1037$$ \, \cdot \, 270480776020^{2} = 1$ |
| $1038$ | $15404267$ | $478126$ | $15404267^{2} \, - \, $$1038$$ \, \cdot \, 478126^{2} = 1$ |
| $1039$ | $493194634979076339348637520$ | $15300674275156671864306921$ | $493194634979076339348637520^{2} \, - \, $$1039$$ \, \cdot \, 15300674275156671864306921^{2} = 1$ |
| $1041$ | $770918649927575$ | $23893687943492$ | $770918649927575^{2} \, - \, $$1041$$ \, \cdot \, 23893687943492^{2} = 1$ |
| $1042$ | $1302499$ | $40350$ | $1302499^{2} \, - \, $$1042$$ \, \cdot \, 40350^{2} = 1$ |
| $1043$ | $576927$ | $17864$ | $576927^{2} \, - \, $$1043$$ \, \cdot \, 17864^{2} = 1$ |
| $1045$ | $456191$ | $14112$ | $456191^{2} \, - \, $$1045$$ \, \cdot \, 14112^{2} = 1$ |
| $1046$ | $3987042510565$ | $123277842162$ | $3987042510565^{2} \, - \, $$1046$$ \, \cdot \, 123277842162^{2} = 1$ |
| $1047$ | $136807$ | $4228$ | $136807^{2} \, - \, $$1047$$ \, \cdot \, 4228^{2} = 1$ |
| $1049$ | $4720747718766511296768801$ | $145754861076386671221320$ | $4720747718766511296768801^{2} \, - \, $$1049$$ \, \cdot \, 145754861076386671221320^{2} = 1$ |
| $1051$ | $955382766460015065912973250$ | $29469722410666558657086507$ | $955382766460015065912973250^{2} \, - \, $$1051$$ \, \cdot \, 29469722410666558657086507^{2} = 1$ |
| $1054$ | $3355576256056895$ | $103358645005416$ | $3355576256056895^{2} \, - \, $$1054$$ \, \cdot \, 103358645005416^{2} = 1$ |
| $1055$ | $1689$ | $52$ | $1689^{2} \, - \, $$1055$$ \, \cdot \, 52^{2} = 1$ |
| $1057$ | $239637339568529407$ | $7370840200132992$ | $239637339568529407^{2} \, - \, $$1057$$ \, \cdot \, 7370840200132992^{2} = 1$ |
| $1059$ | $5983486610$ | $183868081$ | $5983486610^{2} \, - \, $$1059$$ \, \cdot \, 183868081^{2} = 1$ |
| $1061$ | $170800615664635332564330517881801$ | $5243626382156167474921782674260$ | $170800615664635332564330517881801^{2} \, - \, $$1061$$ \, \cdot \, 5243626382156167474921782674260^{2} = 1$ |
| $1063$ | $1745324831097224$ | $53531527412685$ | $1745324831097224^{2} \, - \, $$1063$$ \, \cdot \, 53531527412685^{2} = 1$ |
| $1065$ | $82667999$ | $2533160$ | $82667999^{2} \, - \, $$1065$$ \, \cdot \, 2533160^{2} = 1$ |
| $1066$ | $23597172197299$ | $722738781870$ | $23597172197299^{2} \, - \, $$1066$$ \, \cdot \, 722738781870^{2} = 1$ |
| $1067$ | $98$ | $3$ | $98^{2} \, - \, $$1067$$ \, \cdot \, 3^{2} = 1$ |
| $1069$ | $742925865816843150858935268959512942700219559049$ | $22722526912283010072320240710785462723519145740$ | $742925865816843150858935268959512942700219559049^{2} \, - \, $$1069$$ \, \cdot \, 22722526912283010072320240710785462723519145740^{2} = 1$ |
| $1070$ | $2948491$ | $90138$ | $2948491^{2} \, - \, $$1070$$ \, \cdot \, 90138^{2} = 1$ |
| $1073$ | $4116510849$ | $125669360$ | $4116510849^{2} \, - \, $$1073$$ \, \cdot \, 125669360^{2} = 1$ |
| $1074$ | $3489425$ | $106476$ | $3489425^{2} \, - \, $$1074$$ \, \cdot \, 106476^{2} = 1$ |
| $1077$ | $23522399$ | $716760$ | $23522399^{2} \, - \, $$1077$$ \, \cdot \, 716760^{2} = 1$ |
| $1079$ | $180576876$ | $5497325$ | $180576876^{2} \, - \, $$1079$$ \, \cdot \, 5497325^{2} = 1$ |
| $1081$ | $293215056101715119615$ | $8918122218728007648$ | $293215056101715119615^{2} \, - \, $$1081$$ \, \cdot \, 8918122218728007648^{2} = 1$ |
| $1082$ | $3185797868403$ | $96851106538$ | $3185797868403^{2} \, - \, $$1082$$ \, \cdot \, 96851106538^{2} = 1$ |
| $1085$ | $17919$ | $544$ | $17919^{2} \, - \, $$1085$$ \, \cdot \, 544^{2} = 1$ |
| $1086$ | $725$ | $22$ | $725^{2} \, - \, $$1086$$ \, \cdot \, 22^{2} = 1$ |
| $1087$ | $1088$ | $33$ | $1088^{2} \, - \, $$1087$$ \, \cdot \, 33^{2} = 1$ |
| $1090$ | $2179$ | $66$ | $2179^{2} \, - \, $$1090$$ \, \cdot \, 66^{2} = 1$ |
| $1091$ | $1090$ | $33$ | $1090^{2} \, - \, $$1091$$ \, \cdot \, 33^{2} = 1$ |
| $1093$ | $649296649$ | $19639620$ | $649296649^{2} \, - \, $$1093$$ \, \cdot \, 19639620^{2} = 1$ |
| $1094$ | $14898540581538085$ | $450438047467914$ | $14898540581538085^{2} \, - \, $$1094$$ \, \cdot \, 450438047467914^{2} = 1$ |
| $1095$ | $364$ | $11$ | $364^{2} \, - \, $$1095$$ \, \cdot \, 11^{2} = 1$ |
| $1097$ | $883619927128353$ | $26678547908792$ | $883619927128353^{2} \, - \, $$1097$$ \, \cdot \, 26678547908792^{2} = 1$ |
| $1099$ | $1593163815326$ | $48057545715$ | $1593163815326^{2} \, - \, $$1099$$ \, \cdot \, 48057545715^{2} = 1$ |
| $1101$ | $24313015$ | $732732$ | $24313015^{2} \, - \, $$1101$$ \, \cdot \, 732732^{2} = 1$ |
| $1102$ | $11382443$ | $342882$ | $11382443^{2} \, - \, $$1102$$ \, \cdot \, 342882^{2} = 1$ |
| $1103$ | $2346242745024$ | $70645611145$ | $2346242745024^{2} \, - \, $$1103$$ \, \cdot \, 70645611145^{2} = 1$ |
| $1105$ | $1623132289$ | $48828432$ | $1623132289^{2} \, - \, $$1105$$ \, \cdot \, 48828432^{2} = 1$ |
| $1106$ | $5055$ | $152$ | $5055^{2} \, - \, $$1106$$ \, \cdot \, 152^{2} = 1$ |
| $1109$ | $744702728637239515399291224201$ | $22362336179089374248695940740$ | $744702728637239515399291224201^{2} \, - \, $$1109$$ \, \cdot \, 22362336179089374248695940740^{2} = 1$ |
| $1110$ | $1999$ | $60$ | $1999^{2} \, - \, $$1110$$ \, \cdot \, 60^{2} = 1$ |
| $1111$ | $100$ | $3$ | $100^{2} \, - \, $$1111$$ \, \cdot \, 3^{2} = 1$ |
| $1113$ | $702463$ | $21056$ | $702463^{2} \, - \, $$1113$$ \, \cdot \, 21056^{2} = 1$ |
| $1114$ | $74707907636890165020962560915699$ | $2238329289963186402088628832570$ | $74707907636890165020962560915699^{2} \, - \, $$1114$$ \, \cdot \, 2238329289963186402088628832570^{2} = 1$ |
| $1115$ | $4560126$ | $136565$ | $4560126^{2} \, - \, $$1115$$ \, \cdot \, 136565^{2} = 1$ |
| $1117$ | $87897747594260774254246835664214545379849$ | $2629972211566463612149241455626172190220$ | $87897747594260774254246835664214545379849^{2} \, - \, $$1117$$ \, \cdot \, 2629972211566463612149241455626172190220^{2} = 1$ |
| $1118$ | $4213$ | $126$ | $4213^{2} \, - \, $$1118$$ \, \cdot \, 126^{2} = 1$ |
| $1119$ | $31657255$ | $946364$ | $31657255^{2} \, - \, $$1119$$ \, \cdot \, 946364^{2} = 1$ |
| $1121$ | $151985104364951$ | $4539397558620$ | $151985104364951^{2} \, - \, $$1121$$ \, \cdot \, 4539397558620^{2} = 1$ |
| $1122$ | $67$ | $2$ | $67^{2} \, - \, $$1122$$ \, \cdot \, 2^{2} = 1$ |
| $1123$ | $16506645562632482$ | $492571123214799$ | $16506645562632482^{2} \, - \, $$1123$$ \, \cdot \, 492571123214799^{2} = 1$ |
| $1126$ | $91205$ | $2718$ | $91205^{2} \, - \, $$1126$$ \, \cdot \, 2718^{2} = 1$ |
| $1129$ | $56449$ | $1680$ | $56449^{2} \, - \, $$1129$$ \, \cdot \, 1680^{2} = 1$ |
| $1130$ | $381939$ | $11362$ | $381939^{2} \, - \, $$1130$$ \, \cdot \, 11362^{2} = 1$ |
| $1131$ | $368185$ | $10948$ | $368185^{2} \, - \, $$1131$$ \, \cdot \, 10948^{2} = 1$ |
| $1133$ | $514999$ | $15300$ | $514999^{2} \, - \, $$1133$$ \, \cdot \, 15300^{2} = 1$ |
| $1135$ | $10614754956124$ | $315073619505$ | $10614754956124^{2} \, - \, $$1135$$ \, \cdot \, 315073619505^{2} = 1$ |
| $1137$ | $650468934487$ | $19290626292$ | $650468934487^{2} \, - \, $$1137$$ \, \cdot \, 19290626292^{2} = 1$ |
| $1138$ | $243198723043$ | $7209251214$ | $243198723043^{2} \, - \, $$1138$$ \, \cdot \, 7209251214^{2} = 1$ |
| $1139$ | $135$ | $4$ | $135^{2} \, - \, $$1139$$ \, \cdot \, 4^{2} = 1$ |
| $1141$ | $1036782394157223963237125215$ | $30693385322765657197397208$ | $1036782394157223963237125215^{2} \, - \, $$1141$$ \, \cdot \, 30693385322765657197397208^{2} = 1$ |
| $1142$ | $906612101$ | $26828010$ | $906612101^{2} \, - \, $$1142$$ \, \cdot \, 26828010^{2} = 1$ |
| $1145$ | $3135009$ | $92648$ | $3135009^{2} \, - \, $$1145$$ \, \cdot \, 92648^{2} = 1$ |
| $1146$ | $3447551$ | $101840$ | $3447551^{2} \, - \, $$1146$$ \, \cdot \, 101840^{2} = 1$ |
| $1147$ | $9447152318$ | $278945403$ | $9447152318^{2} \, - \, $$1147$$ \, \cdot \, 278945403^{2} = 1$ |
| $1149$ | $7207295$ | $212624$ | $7207295^{2} \, - \, $$1149$$ \, \cdot \, 212624^{2} = 1$ |
| $1151$ | $65905671840$ | $1942607807$ | $65905671840^{2} \, - \, $$1151$$ \, \cdot \, 1942607807^{2} = 1$ |
| $1153$ | $21002267655460685387089654909788673$ | $618516849717028248841100388607776$ | $21002267655460685387089654909788673^{2} \, - \, $$1153$$ \, \cdot \, 618516849717028248841100388607776^{2} = 1$ |
| $1154$ | $1155$ | $34$ | $1155^{2} \, - \, $$1154$$ \, \cdot \, 34^{2} = 1$ |
| $1155$ | $34$ | $1$ | $34^{2} \, - \, $$1155$$ \, \cdot \, 1^{2} = 1$ |
| $1157$ | $2313$ | $68$ | $2313^{2} \, - \, $$1157$$ \, \cdot \, 68^{2} = 1$ |
| $1158$ | $1157$ | $34$ | $1157^{2} \, - \, $$1158$$ \, \cdot \, 34^{2} = 1$ |
| $1159$ | $1669145551424551$ | $49028938575180$ | $1669145551424551^{2} \, - \, $$1159$$ \, \cdot \, 49028938575180^{2} = 1$ |
| $1162$ | $22616173$ | $663462$ | $22616173^{2} \, - \, $$1162$$ \, \cdot \, 663462^{2} = 1$ |
| $1163$ | $1260321002$ | $36956541$ | $1260321002^{2} \, - \, $$1163$$ \, \cdot \, 36956541^{2} = 1$ |
| $1165$ | $17522747454441842569$ | $513380346877228788$ | $17522747454441842569^{2} \, - \, $$1165$$ \, \cdot \, 513380346877228788^{2} = 1$ |
| $1166$ | $660427701$ | $19340870$ | $660427701^{2} \, - \, $$1166$$ \, \cdot \, 19340870^{2} = 1$ |
| $1167$ | $373828$ | $10943$ | $373828^{2} \, - \, $$1167$$ \, \cdot \, 10943^{2} = 1$ |
| $1169$ | $184235994983935$ | $5388491828064$ | $184235994983935^{2} \, - \, $$1169$$ \, \cdot \, 5388491828064^{2} = 1$ |
| $1171$ | $52268476130$ | $1527430263$ | $52268476130^{2} \, - \, $$1171$$ \, \cdot \, 1527430263^{2} = 1$ |
| $1173$ | $137$ | $4$ | $137^{2} \, - \, $$1173$$ \, \cdot \, 4^{2} = 1$ |
| $1174$ | $4672442879206569303591365$ | $136367209121366140674774$ | $4672442879206569303591365^{2} \, - \, $$1174$$ \, \cdot \, 136367209121366140674774^{2} = 1$ |
| $1177$ | $9482010153904475351$ | $276383546065778460$ | $9482010153904475351^{2} \, - \, $$1177$$ \, \cdot \, 276383546065778460^{2} = 1$ |
| $1178$ | $59583$ | $1736$ | $59583^{2} \, - \, $$1178$$ \, \cdot \, 1736^{2} = 1$ |
| $1181$ | $299819549856198391714823049$ | $8724388547388468773672620$ | $299819549856198391714823049^{2} \, - \, $$1181$$ \, \cdot \, 8724388547388468773672620^{2} = 1$ |
| $1182$ | $27252587$ | $792682$ | $27252587^{2} \, - \, $$1182$$ \, \cdot \, 792682^{2} = 1$ |
| $1185$ | $41418751$ | $1203200$ | $41418751^{2} \, - \, $$1185$$ \, \cdot \, 1203200^{2} = 1$ |
| $1186$ | $6320195$ | $183522$ | $6320195^{2} \, - \, $$1186$$ \, \cdot \, 183522^{2} = 1$ |
| $1187$ | $39095175626$ | $1134743775$ | $39095175626^{2} \, - \, $$1187$$ \, \cdot \, 1134743775^{2} = 1$ |
| $1189$ | $143698819617947177389973449$ | $4167372038262395220808020$ | $143698819617947177389973449^{2} \, - \, $$1189$$ \, \cdot \, 4167372038262395220808020^{2} = 1$ |
| $1190$ | $69$ | $2$ | $69^{2} \, - \, $$1190$$ \, \cdot \, 2^{2} = 1$ |
| $1191$ | $3175$ | $92$ | $3175^{2} \, - \, $$1191$$ \, \cdot \, 92^{2} = 1$ |
| $1193$ | $1462023556679567649$ | $42328623757159480$ | $1462023556679567649^{2} \, - \, $$1193$$ \, \cdot \, 42328623757159480^{2} = 1$ |
| $1194$ | $21647468749$ | $626476750$ | $21647468749^{2} \, - \, $$1194$$ \, \cdot \, 626476750^{2} = 1$ |
| $1195$ | $4650060959$ | $134516232$ | $4650060959^{2} \, - \, $$1195$$ \, \cdot \, 134516232^{2} = 1$ |
| $1198$ | $4206256963502359251599$ | $121525492983646316460$ | $4206256963502359251599^{2} \, - \, $$1198$$ \, \cdot \, 121525492983646316460^{2} = 1$ |
| $1199$ | $497777820$ | $14375599$ | $497777820^{2} \, - \, $$1199$$ \, \cdot \, 14375599^{2} = 1$ |
| $1201$ | $124015777380821763117401108566632174583648616449$ | $3578536376412875571438541467679723838177648640$ | $124015777380821763117401108566632174583648616449^{2} \, - \, $$1201$$ \, \cdot \, 3578536376412875571438541467679723838177648640^{2} = 1$ |
| $1202$ | $10817$ | $312$ | $10817^{2} \, - \, $$1202$$ \, \cdot \, 312^{2} = 1$ |
| $1203$ | $434282$ | $12521$ | $434282^{2} \, - \, $$1203$$ \, \cdot \, 12521^{2} = 1$ |
| $1205$ | $7174089$ | $206668$ | $7174089^{2} \, - \, $$1205$$ \, \cdot \, 206668^{2} = 1$ |
| $1207$ | $1159928$ | $33387$ | $1159928^{2} \, - \, $$1207$$ \, \cdot \, 33387^{2} = 1$ |
| $1209$ | $57029335$ | $1640156$ | $57029335^{2} \, - \, $$1209$$ \, \cdot \, 1640156^{2} = 1$ |
| $1211$ | $174$ | $5$ | $174^{2} \, - \, $$1211$$ \, \cdot \, 5^{2} = 1$ |
| $1213$ | $9968927282677513$ | $286231896207756$ | $9968927282677513^{2} \, - \, $$1213$$ \, \cdot \, 286231896207756^{2} = 1$ |
| $1214$ | $73150798374975$ | $2099470260104$ | $73150798374975^{2} \, - \, $$1214$$ \, \cdot \, 2099470260104^{2} = 1$ |
| $1217$ | $1526641059203073$ | $43761444552128$ | $1526641059203073^{2} \, - \, $$1217$$ \, \cdot \, 43761444552128^{2} = 1$ |
| $1218$ | $349$ | $10$ | $349^{2} \, - \, $$1218$$ \, \cdot \, 10^{2} = 1$ |
| $1219$ | $26811112454855326$ | $767914700295135$ | $26811112454855326^{2} \, - \, $$1219$$ \, \cdot \, 767914700295135^{2} = 1$ |
| $1221$ | $21385$ | $612$ | $21385^{2} \, - \, $$1221$$ \, \cdot \, 612^{2} = 1$ |
| $1222$ | $7734245409307$ | $221249524122$ | $7734245409307^{2} \, - \, $$1222$$ \, \cdot \, 221249524122^{2} = 1$ |
| $1223$ | $1224$ | $35$ | $1224^{2} \, - \, $$1223$$ \, \cdot \, 35^{2} = 1$ |
| $1226$ | $2451$ | $70$ | $2451^{2} \, - \, $$1226$$ \, \cdot \, 70^{2} = 1$ |
| $1227$ | $1226$ | $35$ | $1226^{2} \, - \, $$1227$$ \, \cdot \, 35^{2} = 1$ |
| $1229$ | $923640201$ | $26346740$ | $923640201^{2} \, - \, $$1229$$ \, \cdot \, 26346740^{2} = 1$ |
| $1230$ | $491$ | $14$ | $491^{2} \, - \, $$1230$$ \, \cdot \, 14^{2} = 1$ |
| $1231$ | $2051772574240109813487200$ | $58479034523501522751177$ | $2051772574240109813487200^{2} \, - \, $$1231$$ \, \cdot \, 58479034523501522751177^{2} = 1$ |
| $1234$ | $586327869067265$ | $16691023073856$ | $586327869067265^{2} \, - \, $$1234$$ \, \cdot \, 16691023073856^{2} = 1$ |
| $1235$ | $246$ | $7$ | $246^{2} \, - \, $$1235$$ \, \cdot \, 7^{2} = 1$ |
| $1237$ | $2347849777171254083668416002496336649$ | $66755254524262858038831090292970460$ | $2347849777171254083668416002496336649^{2} \, - \, $$1237$$ \, \cdot \, 66755254524262858038831090292970460^{2} = 1$ |
| $1238$ | $902501$ | $25650$ | $902501^{2} \, - \, $$1238$$ \, \cdot \, 25650^{2} = 1$ |
| $1239$ | $176$ | $5$ | $176^{2} \, - \, $$1239$$ \, \cdot \, 5^{2} = 1$ |
| $1241$ | $2311324401362049$ | $65610751710320$ | $2311324401362049^{2} \, - \, $$1241$$ \, \cdot \, 65610751710320^{2} = 1$ |
| $1243$ | $171874$ | $4875$ | $171874^{2} \, - \, $$1243$$ \, \cdot \, 4875^{2} = 1$ |
| $1245$ | $7534241$ | $213528$ | $7534241^{2} \, - \, $$1245$$ \, \cdot \, 213528^{2} = 1$ |
| $1246$ | $443896693148735$ | $12575431287288$ | $443896693148735^{2} \, - \, $$1246$$ \, \cdot \, 12575431287288^{2} = 1$ |
| $1247$ | $929188$ | $26313$ | $929188^{2} \, - \, $$1247$$ \, \cdot \, 26313^{2} = 1$ |
| $1249$ | $170592135737332963602258146192126623188595201$ | $4827005428364886233636226185917486870412640$ | $170592135737332963602258146192126623188595201^{2} \, - \, $$1249$$ \, \cdot \, 4827005428364886233636226185917486870412640^{2} = 1$ |
| $1253$ | $2772351$ | $78320$ | $2772351^{2} \, - \, $$1253$$ \, \cdot \, 78320^{2} = 1$ |
| $1254$ | $362405$ | $10234$ | $362405^{2} \, - \, $$1254$$ \, \cdot \, 10234^{2} = 1$ |
| $1255$ | $31134002572889$ | $878846634708$ | $31134002572889^{2} \, - \, $$1255$$ \, \cdot \, 878846634708^{2} = 1$ |
| $1257$ | $101399$ | $2860$ | $101399^{2} \, - \, $$1257$$ \, \cdot \, 2860^{2} = 1$ |
| $1258$ | $26297959123$ | $741449754$ | $26297959123^{2} \, - \, $$1258$$ \, \cdot \, 741449754^{2} = 1$ |
| $1259$ | $111409143832810$ | $3139843281069$ | $111409143832810^{2} \, - \, $$1259$$ \, \cdot \, 3139843281069^{2} = 1$ |
| $1261$ | $121645306092343879707029626249$ | $3425609167948170805090878900$ | $121645306092343879707029626249^{2} \, - \, $$1261$$ \, \cdot \, 3425609167948170805090878900^{2} = 1$ |
| $1262$ | $61855669263$ | $1741204708$ | $61855669263^{2} \, - \, $$1262$$ \, \cdot \, 1741204708^{2} = 1$ |
| $1263$ | $142297$ | $4004$ | $142297^{2} \, - \, $$1263$$ \, \cdot \, 4004^{2} = 1$ |
| $1265$ | $206999$ | $5820$ | $206999^{2} \, - \, $$1265$$ \, \cdot \, 5820^{2} = 1$ |
| $1266$ | $533240465$ | $14986708$ | $533240465^{2} \, - \, $$1266$$ \, \cdot \, 14986708^{2} = 1$ |
| $1267$ | $625514462$ | $17573127$ | $625514462^{2} \, - \, $$1267$$ \, \cdot \, 17573127^{2} = 1$ |
| $1270$ | $581837113691$ | $16326743118$ | $581837113691^{2} \, - \, $$1270$$ \, \cdot \, 16326743118^{2} = 1$ |
| $1271$ | $32799$ | $920$ | $32799^{2} \, - \, $$1271$$ \, \cdot \, 920^{2} = 1$ |
| $1273$ | $183449440868134807$ | $5141646215851476$ | $183449440868134807^{2} \, - \, $$1273$$ \, \cdot \, 5141646215851476^{2} = 1$ |
| $1277$ | $41741976277195612208649$ | $1168093368310765922740$ | $41741976277195612208649^{2} \, - \, $$1277$$ \, \cdot \, 1168093368310765922740^{2} = 1$ |
| $1279$ | $2823156987094185989161256000$ | $78940478828277833993575041$ | $2823156987094185989161256000^{2} \, - \, $$1279$$ \, \cdot \, 78940478828277833993575041^{2} = 1$ |
| $1281$ | $790329175$ | $22081748$ | $790329175^{2} \, - \, $$1281$$ \, \cdot \, 22081748^{2} = 1$ |
| $1282$ | $3410326403$ | $95247138$ | $3410326403^{2} \, - \, $$1282$$ \, \cdot \, 95247138^{2} = 1$ |
| $1283$ | $1846514088226$ | $51551261505$ | $1846514088226^{2} \, - \, $$1283$$ \, \cdot \, 51551261505^{2} = 1$ |
| $1285$ | $154066218432467100261106249$ | $4297895572464941510177100$ | $154066218432467100261106249^{2} \, - \, $$1285$$ \, \cdot \, 4297895572464941510177100^{2} = 1$ |
| $1286$ | $25363110565$ | $707264778$ | $25363110565^{2} \, - \, $$1286$$ \, \cdot \, 707264778^{2} = 1$ |
| $1289$ | $180150127796503885363999220001$ | $5017739558355166143865161400$ | $180150127796503885363999220001^{2} \, - \, $$1289$$ \, \cdot \, 5017739558355166143865161400^{2} = 1$ |
| $1290$ | $431$ | $12$ | $431^{2} \, - \, $$1290$$ \, \cdot \, 12^{2} = 1$ |
| $1291$ | $709367533957910186877445608410$ | $19742774580291798609489951267$ | $709367533957910186877445608410^{2} \, - \, $$1291$$ \, \cdot \, 19742774580291798609489951267^{2} = 1$ |
| $1293$ | $863$ | $24$ | $863^{2} \, - \, $$1293$$ \, \cdot \, 24^{2} = 1$ |
| $1294$ | $1295$ | $36$ | $1295^{2} \, - \, $$1294$$ \, \cdot \, 36^{2} = 1$ |
| $1295$ | $36$ | $1$ | $36^{2} \, - \, $$1295$$ \, \cdot \, 1^{2} = 1$ |
| $1297$ | $2593$ | $72$ | $2593^{2} \, - \, $$1297$$ \, \cdot \, 72^{2} = 1$ |
| $1298$ | $1297$ | $36$ | $1297^{2} \, - \, $$1298$$ \, \cdot \, 36^{2} = 1$ |
| $1299$ | $865$ | $24$ | $865^{2} \, - \, $$1299$$ \, \cdot \, 24^{2} = 1$ |
| $1301$ | $94454226249$ | $2618681900$ | $94454226249^{2} \, - \, $$1301$$ \, \cdot \, 2618681900^{2} = 1$ |
| $1302$ | $433$ | $12$ | $433^{2} \, - \, $$1302$$ \, \cdot \, 12^{2} = 1$ |
| $1303$ | $36556474232606087113228808$ | $1012726314518934688771461$ | $36556474232606087113228808^{2} \, - \, $$1303$$ \, \cdot \, 1012726314518934688771461^{2} = 1$ |
| $1306$ | $194390104309027154137909530451$ | $5379012634001634472555250670$ | $194390104309027154137909530451^{2} \, - \, $$1306$$ \, \cdot \, 5379012634001634472555250670^{2} = 1$ |
| $1307$ | $195748082$ | $5414517$ | $195748082^{2} \, - \, $$1307$$ \, \cdot \, 5414517^{2} = 1$ |
| $1309$ | $803170174072265$ | $22199221738044$ | $803170174072265^{2} \, - \, $$1309$$ \, \cdot \, 22199221738044^{2} = 1$ |
| $1310$ | $125100021$ | $3456382$ | $125100021^{2} \, - \, $$1310$$ \, \cdot \, 3456382^{2} = 1$ |
| $1311$ | $193820$ | $5353$ | $193820^{2} \, - \, $$1311$$ \, \cdot \, 5353^{2} = 1$ |
| $1313$ | $758913$ | $20944$ | $758913^{2} \, - \, $$1313$$ \, \cdot \, 20944^{2} = 1$ |
| $1315$ | $887511646$ | $24474351$ | $887511646^{2} \, - \, $$1315$$ \, \cdot \, 24474351^{2} = 1$ |
| $1317$ | $37542877077093751$ | $1034509930681500$ | $37542877077093751^{2} \, - \, $$1317$$ \, \cdot \, 1034509930681500^{2} = 1$ |
| $1318$ | $11393611468262768176276517$ | $313836679699540895794554$ | $11393611468262768176276517^{2} \, - \, $$1318$$ \, \cdot \, 313836679699540895794554^{2} = 1$ |
| $1319$ | $1213059240$ | $33401011$ | $1213059240^{2} \, - \, $$1319$$ \, \cdot \, 33401011^{2} = 1$ |
| $1321$ | $5714003133469398668515586785344107222143861249$ | $157213220905969449559233656682503745171415200$ | $5714003133469398668515586785344107222143861249^{2} \, - \, $$1321$$ \, \cdot \, 157213220905969449559233656682503745171415200^{2} = 1$ |
| $1322$ | $1782164403$ | $49015342$ | $1782164403^{2} \, - \, $$1322$$ \, \cdot \, 49015342^{2} = 1$ |
| $1326$ | $2549$ | $70$ | $2549^{2} \, - \, $$1326$$ \, \cdot \, 70^{2} = 1$ |
| $1327$ | $65024$ | $1785$ | $65024^{2} \, - \, $$1327$$ \, \cdot \, 1785^{2} = 1$ |
| $1329$ | $704641456388201495$ | $19328835950934116$ | $704641456388201495^{2} \, - \, $$1329$$ \, \cdot \, 19328835950934116^{2} = 1$ |
| $1330$ | $1246589$ | $34182$ | $1246589^{2} \, - \, $$1330$$ \, \cdot \, 34182^{2} = 1$ |
| $1333$ | $330126493332151$ | $9042016684140$ | $330126493332151^{2} \, - \, $$1333$$ \, \cdot \, 9042016684140^{2} = 1$ |
| $1334$ | $3155972095$ | $86408256$ | $3155972095^{2} \, - \, $$1334$$ \, \cdot \, 86408256^{2} = 1$ |
| $1335$ | $45124$ | $1235$ | $45124^{2} \, - \, $$1335$$ \, \cdot \, 1235^{2} = 1$ |
| $1337$ | $1367431647$ | $37397272$ | $1367431647^{2} \, - \, $$1337$$ \, \cdot \, 37397272^{2} = 1$ |
| $1338$ | $17308813$ | $473194$ | $17308813^{2} \, - \, $$1338$$ \, \cdot \, 473194^{2} = 1$ |
| $1339$ | $150175$ | $4104$ | $150175^{2} \, - \, $$1339$$ \, \cdot \, 4104^{2} = 1$ |
| $1342$ | $1099$ | $30$ | $1099^{2} \, - \, $$1342$$ \, \cdot \, 30^{2} = 1$ |
| $1343$ | $388128$ | $10591$ | $388128^{2} \, - \, $$1343$$ \, \cdot \, 10591^{2} = 1$ |
| $1345$ | $4841$ | $132$ | $4841^{2} \, - \, $$1345$$ \, \cdot \, 132^{2} = 1$ |
| $1346$ | $340550115$ | $9282362$ | $340550115^{2} \, - \, $$1346$$ \, \cdot \, 9282362^{2} = 1$ |
| $1347$ | $6046682$ | $164753$ | $6046682^{2} \, - \, $$1347$$ \, \cdot \, 164753^{2} = 1$ |
| $1349$ | $2039180665951$ | $55520034840$ | $2039180665951^{2} \, - \, $$1349$$ \, \cdot \, 55520034840^{2} = 1$ |
| $1351$ | $6175$ | $168$ | $6175^{2} \, - \, $$1351$$ \, \cdot \, 168^{2} = 1$ |
| $1353$ | $42982433$ | $1168536$ | $42982433^{2} \, - \, $$1353$$ \, \cdot \, 1168536^{2} = 1$ |
| $1354$ | $346105897748788220212734451$ | $9405885067178313198370290$ | $346105897748788220212734451^{2} \, - \, $$1354$$ \, \cdot \, 9405885067178313198370290^{2} = 1$ |
| $1355$ | $1823289$ | $49532$ | $1823289^{2} \, - \, $$1355$$ \, \cdot \, 49532^{2} = 1$ |
| $1357$ | $355593479414372351$ | $9653034643064640$ | $355593479414372351^{2} \, - \, $$1357$$ \, \cdot \, 9653034643064640^{2} = 1$ |
| $1358$ | $2999823$ | $81404$ | $2999823^{2} \, - \, $$1358$$ \, \cdot \, 81404^{2} = 1$ |
| $1361$ | $351475875811710155440935201$ | $9527225818589057344845080$ | $351475875811710155440935201^{2} \, - \, $$1361$$ \, \cdot \, 9527225818589057344845080^{2} = 1$ |
| $1362$ | $1370184257$ | $37127048$ | $1370184257^{2} \, - \, $$1362$$ \, \cdot \, 37127048^{2} = 1$ |
| $1363$ | $3451726$ | $93495$ | $3451726^{2} \, - \, $$1363$$ \, \cdot \, 93495^{2} = 1$ |
| $1365$ | $25271$ | $684$ | $25271^{2} \, - \, $$1365$$ \, \cdot \, 684^{2} = 1$ |
| $1366$ | $2291037052846189335142389540899525$ | $61987877112128467931286485364042$ | $2291037052846189335142389540899525^{2} \, - \, $$1366$$ \, \cdot \, 61987877112128467931286485364042^{2} = 1$ |
| $1367$ | $1368$ | $37$ | $1368^{2} \, - \, $$1367$$ \, \cdot \, 37^{2} = 1$ |
| $1370$ | $2739$ | $74$ | $2739^{2} \, - \, $$1370$$ \, \cdot \, 74^{2} = 1$ |
| $1371$ | $1370$ | $37$ | $1370^{2} \, - \, $$1371$$ \, \cdot \, 37^{2} = 1$ |
| $1373$ | $1288491849$ | $34773340$ | $1288491849^{2} \, - \, $$1373$$ \, \cdot \, 34773340^{2} = 1$ |
| $1374$ | $153544325045$ | $4142289074$ | $153544325045^{2} \, - \, $$1374$$ \, \cdot \, 4142289074^{2} = 1$ |
| $1378$ | $3663851203$ | $98699106$ | $3663851203^{2} \, - \, $$1378$$ \, \cdot \, 98699106^{2} = 1$ |
| $1379$ | $2517968895$ | $67806016$ | $2517968895^{2} \, - \, $$1379$$ \, \cdot \, 67806016^{2} = 1$ |
| $1381$ | $91889645003972654622127399341267476203024769394634584316300287049$ | $2472690352775053537868141555978544119564691977342423075952738420$ | $91889645003972654622127399341267476203024769394634584316300287049^{2} \, - \, $$1381$$ \, \cdot \, 2472690352775053537868141555978544119564691977342423075952738420^{2} = 1$ |
| $1382$ | $13003237$ | $349782$ | $13003237^{2} \, - \, $$1382$$ \, \cdot \, 349782^{2} = 1$ |
| $1383$ | $1294948$ | $34821$ | $1294948^{2} \, - \, $$1383$$ \, \cdot \, 34821^{2} = 1$ |
| $1385$ | $21670288929$ | $582290648$ | $21670288929^{2} \, - \, $$1385$$ \, \cdot \, 582290648^{2} = 1$ |
| $1387$ | $1510442$ | $40557$ | $1510442^{2} \, - \, $$1387$$ \, \cdot \, 40557^{2} = 1$ |
| $1389$ | $625975$ | $16796$ | $625975^{2} \, - \, $$1389$$ \, \cdot \, 16796^{2} = 1$ |
| $1390$ | $2298622285432981$ | $61653851607582$ | $2298622285432981^{2} \, - \, $$1390$$ \, \cdot \, 61653851607582^{2} = 1$ |
| $1391$ | $9081305$ | $243492$ | $9081305^{2} \, - \, $$1391$$ \, \cdot \, 243492^{2} = 1$ |
| $1393$ | $3583$ | $96$ | $3583^{2} \, - \, $$1393$$ \, \cdot \, 96^{2} = 1$ |
| $1394$ | $12545$ | $336$ | $12545^{2} \, - \, $$1394$$ \, \cdot \, 336^{2} = 1$ |
| $1397$ | $16033248351$ | $428966440$ | $16033248351^{2} \, - \, $$1397$$ \, \cdot \, 428966440^{2} = 1$ |
| $1398$ | $4866437$ | $130154$ | $4866437^{2} \, - \, $$1398$$ \, \cdot \, 130154^{2} = 1$ |
| $1399$ | $72267866478994045309640$ | $1932130144300442015349$ | $72267866478994045309640^{2} \, - \, $$1399$$ \, \cdot \, 1932130144300442015349^{2} = 1$ |
| $1401$ | $1653779660151229685015$ | $44183343633378497932$ | $1653779660151229685015^{2} \, - \, $$1401$$ \, \cdot \, 44183343633378497932^{2} = 1$ |
| $1402$ | $1729858406386491965718163$ | $46199422791797974269522$ | $1729858406386491965718163^{2} \, - \, $$1402$$ \, \cdot \, 46199422791797974269522^{2} = 1$ |
| $1403$ | $74726$ | $1995$ | $74726^{2} \, - \, $$1403$$ \, \cdot \, 1995^{2} = 1$ |
| $1405$ | $2249$ | $60$ | $2249^{2} \, - \, $$1405$$ \, \cdot \, 60^{2} = 1$ |
| $1406$ | $75$ | $2$ | $75^{2} \, - \, $$1406$$ \, \cdot \, 2^{2} = 1$ |
| $1407$ | $3751$ | $100$ | $3751^{2} \, - \, $$1407$$ \, \cdot \, 100^{2} = 1$ |
| $1409$ | $2515181276570874689623012210848801$ | $67006015714662899288959142526920$ | $2515181276570874689623012210848801^{2} \, - \, $$1409$$ \, \cdot \, 67006015714662899288959142526920^{2} = 1$ |
| $1410$ | $751$ | $20$ | $751^{2} \, - \, $$1410$$ \, \cdot \, 20^{2} = 1$ |
| $1411$ | $444071330$ | $11821953$ | $444071330^{2} \, - \, $$1411$$ \, \cdot \, 11821953^{2} = 1$ |
| $1414$ | $182475063042299$ | $4852648311810$ | $182475063042299^{2} \, - \, $$1414$$ \, \cdot \, 4852648311810^{2} = 1$ |
| $1415$ | $22029004$ | $585621$ | $22029004^{2} \, - \, $$1415$$ \, \cdot \, 585621^{2} = 1$ |
| $1417$ | $5380608104297224993$ | $142937583715450488$ | $5380608104297224993^{2} \, - \, $$1417$$ \, \cdot \, 142937583715450488^{2} = 1$ |
| $1418$ | $3026264403$ | $80365334$ | $3026264403^{2} \, - \, $$1418$$ \, \cdot \, 80365334^{2} = 1$ |
| $1419$ | $12770$ | $339$ | $12770^{2} \, - \, $$1419$$ \, \cdot \, 339^{2} = 1$ |
| $1423$ | $480011423186147603704208$ | $12724746017155626396759$ | $480011423186147603704208^{2} \, - \, $$1423$$ \, \cdot \, 12724746017155626396759^{2} = 1$ |
| $1426$ | $9860975$ | $261132$ | $9860975^{2} \, - \, $$1426$$ \, \cdot \, 261132^{2} = 1$ |
| $1427$ | $9373918762$ | $248147097$ | $9373918762^{2} \, - \, $$1427$$ \, \cdot \, 248147097^{2} = 1$ |
| $1429$ | $22793644685449$ | $602972713980$ | $22793644685449^{2} \, - \, $$1429$$ \, \cdot \, 602972713980^{2} = 1$ |
| $1430$ | $13311$ | $352$ | $13311^{2} \, - \, $$1430$$ \, \cdot \, 352^{2} = 1$ |
| $1433$ | $66524184290667832353$ | $1757342704595433176$ | $66524184290667832353^{2} \, - \, $$1433$$ \, \cdot \, 1757342704595433176^{2} = 1$ |
| $1434$ | $176669098751$ | $4665369200$ | $176669098751^{2} \, - \, $$1434$$ \, \cdot \, 4665369200^{2} = 1$ |
| $1435$ | $999046$ | $26373$ | $999046^{2} \, - \, $$1435$$ \, \cdot \, 26373^{2} = 1$ |
| $1437$ | $97359338210399$ | $2568320564040$ | $97359338210399^{2} \, - \, $$1437$$ \, \cdot \, 2568320564040^{2} = 1$ |
| $1438$ | $15960728127743$ | $420894506064$ | $15960728127743^{2} \, - \, $$1438$$ \, \cdot \, 420894506064^{2} = 1$ |
| $1439$ | $12857985170030364960$ | $338955373761021521$ | $12857985170030364960^{2} \, - \, $$1439$$ \, \cdot \, 338955373761021521^{2} = 1$ |
| $1441$ | $841014472843068524054999$ | $22154985959533110482700$ | $841014472843068524054999^{2} \, - \, $$1441$$ \, \cdot \, 22154985959533110482700^{2} = 1$ |
| $1442$ | $1443$ | $38$ | $1443^{2} \, - \, $$1442$$ \, \cdot \, 38^{2} = 1$ |
| $1443$ | $38$ | $1$ | $38^{2} \, - \, $$1443$$ \, \cdot \, 1^{2} = 1$ |
| $1446$ | $1445$ | $38$ | $1445^{2} \, - \, $$1446$$ \, \cdot \, 38^{2} = 1$ |
| $1447$ | $130410331757421848$ | $3428291438910093$ | $130410331757421848^{2} \, - \, $$1447$$ \, \cdot \, 3428291438910093^{2} = 1$ |
| $1451$ | $32507827844328530$ | $853403156620707$ | $32507827844328530^{2} \, - \, $$1451$$ \, \cdot \, 853403156620707^{2} = 1$ |
| $1453$ | $410437909280225285392045277163541936816200282681664800649$ | $10767494523648864494064975684283690243920830620634227020$ | $410437909280225285392045277163541936816200282681664800649^{2} \, - \, $$1453$$ \, \cdot \, 10767494523648864494064975684283690243920830620634227020^{2} = 1$ |
| $1454$ | $366707758095$ | $9616961884$ | $366707758095^{2} \, - \, $$1454$$ \, \cdot \, 9616961884^{2} = 1$ |
| $1455$ | $23764$ | $623$ | $23764^{2} \, - \, $$1455$$ \, \cdot \, 623^{2} = 1$ |
| $1457$ | $7233162836703$ | $189495310312$ | $7233162836703^{2} \, - \, $$1457$$ \, \cdot \, 189495310312^{2} = 1$ |
| $1459$ | $98143956337994034503281010$ | $2569424820981242287252281$ | $98143956337994034503281010^{2} \, - \, $$1459$$ \, \cdot \, 2569424820981242287252281^{2} = 1$ |
| $1461$ | $416529161979728987575$ | $10897335066584502228$ | $416529161979728987575^{2} \, - \, $$1461$$ \, \cdot \, 10897335066584502228^{2} = 1$ |
| $1462$ | $2753$ | $72$ | $2753^{2} \, - \, $$1462$$ \, \cdot \, 72^{2} = 1$ |
| $1463$ | $153$ | $4$ | $153^{2} \, - \, $$1463$$ \, \cdot \, 4^{2} = 1$ |
| $1465$ | $1347185567591142710089249$ | $35197239977950541355240$ | $1347185567591142710089249^{2} \, - \, $$1465$$ \, \cdot \, 35197239977950541355240^{2} = 1$ |
| $1466$ | $47033698184547699$ | $1228406604685910$ | $47033698184547699^{2} \, - \, $$1466$$ \, \cdot \, 1228406604685910^{2} = 1$ |
| $1469$ | $760265$ | $19836$ | $760265^{2} \, - \, $$1469$$ \, \cdot \, 19836^{2} = 1$ |
| $1471$ | $39010573734728288548756018366160$ | $1017128916397276238715671536737$ | $39010573734728288548756018366160^{2} \, - \, $$1471$$ \, \cdot \, 1017128916397276238715671536737^{2} = 1$ |
| $1473$ | $2658699293399$ | $69273614220$ | $2658699293399^{2} \, - \, $$1473$$ \, \cdot \, 69273614220^{2} = 1$ |
| $1474$ | $54959576050729745$ | $1431510810979476$ | $54959576050729745^{2} \, - \, $$1474$$ \, \cdot \, 1431510810979476^{2} = 1$ |
| $1477$ | $10055043780174150436351$ | $261633721214706222240$ | $10055043780174150436351^{2} \, - \, $$1477$$ \, \cdot \, 261633721214706222240^{2} = 1$ |
| $1478$ | $119717$ | $3114$ | $119717^{2} \, - \, $$1478$$ \, \cdot \, 3114^{2} = 1$ |
| $1479$ | $4404376$ | $114525$ | $4404376^{2} \, - \, $$1479$$ \, \cdot \, 114525^{2} = 1$ |
| $1481$ | $3078401222921030518510235626262049$ | $79992209653108287396849617045080$ | $3078401222921030518510235626262049^{2} \, - \, $$1481$$ \, \cdot \, 79992209653108287396849617045080^{2} = 1$ |
| $1482$ | $77$ | $2$ | $77^{2} \, - \, $$1482$$ \, \cdot \, 2^{2} = 1$ |
| $1483$ | $158695889009423019181226$ | $4120928705704463238045$ | $158695889009423019181226^{2} \, - \, $$1483$$ \, \cdot \, 4120928705704463238045^{2} = 1$ |
| $1486$ | $18974735$ | $492228$ | $18974735^{2} \, - \, $$1486$$ \, \cdot \, 492228^{2} = 1$ |
| $1487$ | $7924224$ | $205495$ | $7924224^{2} \, - \, $$1487$$ \, \cdot \, 205495^{2} = 1$ |
| $1489$ | $19794264626972449$ | $512970066248280$ | $19794264626972449^{2} \, - \, $$1489$$ \, \cdot \, 512970066248280^{2} = 1$ |
| $1490$ | $74499$ | $1930$ | $74499^{2} \, - \, $$1490$$ \, \cdot \, 1930^{2} = 1$ |
| $1491$ | $68230$ | $1767$ | $68230^{2} \, - \, $$1491$$ \, \cdot \, 1767^{2} = 1$ |
| $1493$ | $85729041586288866249$ | $2218697350071605900$ | $85729041586288866249^{2} \, - \, $$1493$$ \, \cdot \, 2218697350071605900^{2} = 1$ |
| $1495$ | $116$ | $3$ | $116^{2} \, - \, $$1495$$ \, \cdot \, 3^{2} = 1$ |
| $1497$ | $22516718751127$ | $581961430932$ | $22516718751127^{2} \, - \, $$1497$$ \, \cdot \, 581961430932^{2} = 1$ |
| $1498$ | $321700659967$ | $8311818384$ | $321700659967^{2} \, - \, $$1498$$ \, \cdot \, 8311818384^{2} = 1$ |
| $1499$ | $3002576946562695360610$ | $77552058394306780299$ | $3002576946562695360610^{2} \, - \, $$1499$$ \, \cdot \, 77552058394306780299^{2} = 1$ |
| $1501$ | $13534735238019723614555987551$ | $349348930906018990606250760$ | $13534735238019723614555987551^{2} \, - \, $$1501$$ \, \cdot \, 349348930906018990606250760^{2} = 1$ |
| $1502$ | $5966017599$ | $153939320$ | $5966017599^{2} \, - \, $$1502$$ \, \cdot \, 153939320^{2} = 1$ |
| $1505$ | $11968361$ | $308508$ | $11968361^{2} \, - \, $$1505$$ \, \cdot \, 308508^{2} = 1$ |
| $1506$ | $31880816705$ | $821517752$ | $31880816705^{2} \, - \, $$1506$$ \, \cdot \, 821517752^{2} = 1$ |
| $1507$ | $4893778$ | $126063$ | $4893778^{2} \, - \, $$1507$$ \, \cdot \, 126063^{2} = 1$ |
| $1509$ | $64393055$ | $1657656$ | $64393055^{2} \, - \, $$1509$$ \, \cdot \, 1657656^{2} = 1$ |
| $1510$ | $84053391679$ | $2163051048$ | $84053391679^{2} \, - \, $$1510$$ \, \cdot \, 2163051048^{2} = 1$ |
| $1511$ | $38459732591163960$ | $989404834498003$ | $38459732591163960^{2} \, - \, $$1511$$ \, \cdot \, 989404834498003^{2} = 1$ |
| $1513$ | $22280499233$ | $572803224$ | $22280499233^{2} \, - \, $$1513$$ \, \cdot \, 572803224^{2} = 1$ |
| $1514$ | $5151268521999699$ | $132388801787270$ | $5151268521999699^{2} \, - \, $$1514$$ \, \cdot \, 132388801787270^{2} = 1$ |
| $1515$ | $506$ | $13$ | $506^{2} \, - \, $$1515$$ \, \cdot \, 13^{2} = 1$ |
| $1517$ | $29601$ | $760$ | $29601^{2} \, - \, $$1517$$ \, \cdot \, 760^{2} = 1$ |
| $1518$ | $1013$ | $26$ | $1013^{2} \, - \, $$1518$$ \, \cdot \, 26^{2} = 1$ |
| $1522$ | $3043$ | $78$ | $3043^{2} \, - \, $$1522$$ \, \cdot \, 78^{2} = 1$ |
| $1523$ | $1522$ | $39$ | $1522^{2} \, - \, $$1523$$ \, \cdot \, 39^{2} = 1$ |
| $1526$ | $102135615$ | $2614568$ | $102135615^{2} \, - \, $$1526$$ \, \cdot \, 2614568^{2} = 1$ |
| $1527$ | $508$ | $13$ | $508^{2} \, - \, $$1527$$ \, \cdot \, 13^{2} = 1$ |
| $1529$ | $72285400494999$ | $1848616601300$ | $72285400494999^{2} \, - \, $$1529$$ \, \cdot \, 1848616601300^{2} = 1$ |
| $1531$ | $1157070504812569705163513222450$ | $29571423275371204812741659877$ | $1157070504812569705163513222450^{2} \, - \, $$1531$$ \, \cdot \, 29571423275371204812741659877^{2} = 1$ |
| $1533$ | $65935351$ | $1684020$ | $65935351^{2} \, - \, $$1533$$ \, \cdot \, 1684020^{2} = 1$ |
| $1534$ | $235$ | $6$ | $235^{2} \, - \, $$1534$$ \, \cdot \, 6^{2} = 1$ |
| $1535$ | $1378124$ | $35175$ | $1378124^{2} \, - \, $$1535$$ \, \cdot \, 35175^{2} = 1$ |
| $1537$ | $75080329577$ | $1915090212$ | $75080329577^{2} \, - \, $$1537$$ \, \cdot \, 1915090212^{2} = 1$ |
| $1538$ | $813603$ | $20746$ | $813603^{2} \, - \, $$1538$$ \, \cdot \, 20746^{2} = 1$ |
| $1541$ | $832350906580405815$ | $21203381993734892$ | $832350906580405815^{2} \, - \, $$1541$$ \, \cdot \, 21203381993734892^{2} = 1$ |
| $1542$ | $2592101$ | $66010$ | $2592101^{2} \, - \, $$1542$$ \, \cdot \, 66010^{2} = 1$ |
| $1543$ | $6643215129085261568619128$ | $169120149360850062054141$ | $6643215129085261568619128^{2} \, - \, $$1543$$ \, \cdot \, 169120149360850062054141^{2} = 1$ |
| $1545$ | $123481961$ | $3141516$ | $123481961^{2} \, - \, $$1545$$ \, \cdot \, 3141516^{2} = 1$ |
| $1546$ | $3802792051$ | $96715890$ | $3802792051^{2} \, - \, $$1546$$ \, \cdot \, 96715890^{2} = 1$ |
| $1547$ | $118$ | $3$ | $118^{2} \, - \, $$1547$$ \, \cdot \, 3^{2} = 1$ |
| $1549$ | $48106848972197087743588687481413975084698632248110750633952591202305801$ | $1222309542826747495934242683346380508818076263178681966098672827963220$ | $48106848972197087743588687481413975084698632248110750633952591202305801^{2} \, - \, $$1549$$ \, \cdot \, 1222309542826747495934242683346380508818076263178681966098672827963220^{2} = 1$ |
| $1551$ | $1850201$ | $46980$ | $1850201^{2} \, - \, $$1551$$ \, \cdot \, 46980^{2} = 1$ |
| $1553$ | $16865536001301633$ | $427971077468464$ | $16865536001301633^{2} \, - \, $$1553$$ \, \cdot \, 427971077468464^{2} = 1$ |
| $1554$ | $160285$ | $4066$ | $160285^{2} \, - \, $$1554$$ \, \cdot \, 4066^{2} = 1$ |
| $1555$ | $5117847907209209$ | $129784305853476$ | $5117847907209209^{2} \, - \, $$1555$$ \, \cdot \, 129784305853476^{2} = 1$ |
| $1558$ | $17873016101$ | $452808030$ | $17873016101^{2} \, - \, $$1558$$ \, \cdot \, 452808030^{2} = 1$ |
| $1559$ | $2122635541940760$ | $53759147640581$ | $2122635541940760^{2} \, - \, $$1559$$ \, \cdot \, 53759147640581^{2} = 1$ |
| $1561$ | $171407516109350655091252735$ | $4338388198177894781607072$ | $171407516109350655091252735^{2} \, - \, $$1561$$ \, \cdot \, 4338388198177894781607072^{2} = 1$ |
| $1562$ | $1813197$ | $45878$ | $1813197^{2} \, - \, $$1562$$ \, \cdot \, 45878^{2} = 1$ |
| $1563$ | $24054459026$ | $608437685$ | $24054459026^{2} \, - \, $$1563$$ \, \cdot \, 608437685^{2} = 1$ |
| $1565$ | $467897169491706249$ | $11827507906169900$ | $467897169491706249^{2} \, - \, $$1565$$ \, \cdot \, 11827507906169900^{2} = 1$ |
| $1567$ | $2634128$ | $66543$ | $2634128^{2} \, - \, $$1567$$ \, \cdot \, 66543^{2} = 1$ |
| $1569$ | $3674077401859095458455$ | $92754893170353950236$ | $3674077401859095458455^{2} \, - \, $$1569$$ \, \cdot \, 92754893170353950236^{2} = 1$ |
| $1570$ | $287696384061859$ | $7260801722778$ | $287696384061859^{2} \, - \, $$1570$$ \, \cdot \, 7260801722778^{2} = 1$ |
| $1571$ | $1430064397610$ | $36080080863$ | $1430064397610^{2} \, - \, $$1571$$ \, \cdot \, 36080080863^{2} = 1$ |
| $1574$ | $3097184950960165$ | $78066512141574$ | $3097184950960165^{2} \, - \, $$1574$$ \, \cdot \, 78066512141574^{2} = 1$ |
| $1577$ | $112326799954263$ | $2828573966428$ | $112326799954263^{2} \, - \, $$1577$$ \, \cdot \, 2828573966428^{2} = 1$ |
| $1578$ | $442367$ | $11136$ | $442367^{2} \, - \, $$1578$$ \, \cdot \, 11136^{2} = 1$ |
| $1579$ | $852876982639022059460736831316490$ | $21463242324201893177981952219891$ | $852876982639022059460736831316490^{2} \, - \, $$1579$$ \, \cdot \, 21463242324201893177981952219891^{2} = 1$ |
| $1581$ | $291090185$ | $7320852$ | $291090185^{2} \, - \, $$1581$$ \, \cdot \, 7320852^{2} = 1$ |
| $1582$ | $8593649$ | $216060$ | $8593649^{2} \, - \, $$1582$$ \, \cdot \, 216060^{2} = 1$ |
| $1583$ | $94312707829728$ | $2370444310151$ | $94312707829728^{2} \, - \, $$1583$$ \, \cdot \, 2370444310151^{2} = 1$ |
| $1585$ | $318341744070762403104769$ | $7996113646631818744896$ | $318341744070762403104769^{2} \, - \, $$1585$$ \, \cdot \, 7996113646631818744896^{2} = 1$ |
| $1586$ | $335042499$ | $8412950$ | $335042499^{2} \, - \, $$1586$$ \, \cdot \, 8412950^{2} = 1$ |
| $1589$ | $126866457849998708855$ | $3182620572954663804$ | $126866457849998708855^{2} \, - \, $$1589$$ \, \cdot \, 3182620572954663804^{2} = 1$ |
| $1590$ | $319$ | $8$ | $319^{2} \, - \, $$1590$$ \, \cdot \, 8^{2} = 1$ |
| $1591$ | $11540919718817324$ | $289337903407635$ | $11540919718817324^{2} \, - \, $$1591$$ \, \cdot \, 289337903407635^{2} = 1$ |
| $1594$ | $1096489048689708486929226451$ | $27463769151288592914799710$ | $1096489048689708486929226451^{2} \, - \, $$1594$$ \, \cdot \, 27463769151288592914799710^{2} = 1$ |
| $1595$ | $639$ | $16$ | $639^{2} \, - \, $$1595$$ \, \cdot \, 16^{2} = 1$ |
| $1597$ | $519711527755463096224266385375638449943026746249$ | $13004986088790772250309504643908671520836229100$ | $519711527755463096224266385375638449943026746249^{2} \, - \, $$1597$$ \, \cdot \, 13004986088790772250309504643908671520836229100^{2} = 1$ |
| $1598$ | $1599$ | $40$ | $1599^{2} \, - \, $$1598$$ \, \cdot \, 40^{2} = 1$ |
| $1599$ | $40$ | $1$ | $40^{2} \, - \, $$1599$$ \, \cdot \, 1^{2} = 1$ |
| $1601$ | $3201$ | $80$ | $3201^{2} \, - \, $$1601$$ \, \cdot \, 80^{2} = 1$ |
| $1603$ | $72515603726$ | $1811192895$ | $72515603726^{2} \, - \, $$1603$$ \, \cdot \, 1811192895^{2} = 1$ |
| $1605$ | $641$ | $16$ | $641^{2} \, - \, $$1605$$ \, \cdot \, 16^{2} = 1$ |
| $1606$ | $24538370918885$ | $612312261798$ | $24538370918885^{2} \, - \, $$1606$$ \, \cdot \, 612312261798^{2} = 1$ |
| $1607$ | $137050219854024$ | $3418785065885$ | $137050219854024^{2} \, - \, $$1607$$ \, \cdot \, 3418785065885^{2} = 1$ |
| $1609$ | $106239618545424991765243316655636841919665809723452449$ | $2648551857407766364935405630459204820419664252354920$ | $106239618545424991765243316655636841919665809723452449^{2} \, - \, $$1609$$ \, \cdot \, 2648551857407766364935405630459204820419664252354920^{2} = 1$ |
| $1610$ | $321$ | $8$ | $321^{2} \, - \, $$1610$$ \, \cdot \, 8^{2} = 1$ |
| $1613$ | $4416393$ | $109964$ | $4416393^{2} \, - \, $$1613$$ \, \cdot \, 109964^{2} = 1$ |
| $1614$ | $291698879051$ | $7260775270$ | $291698879051^{2} \, - \, $$1614$$ \, \cdot \, 7260775270^{2} = 1$ |
| $1615$ | $3284569$ | $81732$ | $3284569^{2} \, - \, $$1615$$ \, \cdot \, 81732^{2} = 1$ |
| $1618$ | $2313310158883$ | $57510164046$ | $2313310158883^{2} \, - \, $$1618$$ \, \cdot \, 57510164046^{2} = 1$ |
| $1619$ | $78053433117061872410$ | $1939851949127419161$ | $78053433117061872410^{2} \, - \, $$1619$$ \, \cdot \, 1939851949127419161^{2} = 1$ |
| $1621$ | $6298101812493732343034974500091457815529942308667051412857352310169665125001$ | $156429324369979112128445583345098338627552043874824108399177922442751050500$ | $6298101812493732343034974500091457815529942308667051412857352310169665125001^{2} \, - \, $$1621$$ \, \cdot \, 156429324369979112128445583345098338627552043874824108399177922442751050500^{2} = 1$ |
| $1622$ | $2831176412101$ | $70297763190$ | $2831176412101^{2} \, - \, $$1622$$ \, \cdot \, 70297763190^{2} = 1$ |
| $1623$ | $53017$ | $1316$ | $53017^{2} \, - \, $$1623$$ \, \cdot \, 1316^{2} = 1$ |
| $1626$ | $266647183921549$ | $6612668183130$ | $266647183921549^{2} \, - \, $$1626$$ \, \cdot \, 6612668183130^{2} = 1$ |
| $1627$ | $14642$ | $363$ | $14642^{2} \, - \, $$1627$$ \, \cdot \, 363^{2} = 1$ |
| $1630$ | $15078465611$ | $373476558$ | $15078465611^{2} \, - \, $$1630$$ \, \cdot \, 373476558^{2} = 1$ |
| $1631$ | $39376$ | $975$ | $39376^{2} \, - \, $$1631$$ \, \cdot \, 975^{2} = 1$ |
| $1633$ | $329993200416163472690687$ | $8166047445137789303136$ | $329993200416163472690687^{2} \, - \, $$1633$$ \, \cdot \, 8166047445137789303136^{2} = 1$ |
| $1634$ | $24720785$ | $611556$ | $24720785^{2} \, - \, $$1634$$ \, \cdot \, 611556^{2} = 1$ |
| $1635$ | $115321$ | $2852$ | $115321^{2} \, - \, $$1635$$ \, \cdot \, 2852^{2} = 1$ |
| $1637$ | $14502382675358453346249$ | $358438805194633965100$ | $14502382675358453346249^{2} \, - \, $$1637$$ \, \cdot \, 358438805194633965100^{2} = 1$ |
| $1639$ | $1401940$ | $34629$ | $1401940^{2} \, - \, $$1639$$ \, \cdot \, 34629^{2} = 1$ |
| $1641$ | $4375$ | $108$ | $4375^{2} \, - \, $$1641$$ \, \cdot \, 108^{2} = 1$ |
| $1642$ | $2849294043676512198199390483$ | $70315439208370501553286858$ | $2849294043676512198199390483^{2} \, - \, $$1642$$ \, \cdot \, 70315439208370501553286858^{2} = 1$ |
| $1643$ | $8958$ | $221$ | $8958^{2} \, - \, $$1643$$ \, \cdot \, 221^{2} = 1$ |
| $1645$ | $9460519131041$ | $233255566728$ | $9460519131041^{2} \, - \, $$1645$$ \, \cdot \, 233255566728^{2} = 1$ |
| $1646$ | $80655$ | $1988$ | $80655^{2} \, - \, $$1646$$ \, \cdot \, 1988^{2} = 1$ |
| $1649$ | $23694502880412801$ | $583495181032880$ | $23694502880412801^{2} \, - \, $$1649$$ \, \cdot \, 583495181032880^{2} = 1$ |
| $1651$ | $56161343343007135$ | $1382177919146568$ | $56161343343007135^{2} \, - \, $$1651$$ \, \cdot \, 1382177919146568^{2} = 1$ |
| $1653$ | $1440734849$ | $35436240$ | $1440734849^{2} \, - \, $$1653$$ \, \cdot \, 35436240^{2} = 1$ |
| $1654$ | $14885$ | $366$ | $14885^{2} \, - \, $$1654$$ \, \cdot \, 366^{2} = 1$ |
| $1655$ | $320409$ | $7876$ | $320409^{2} \, - \, $$1655$$ \, \cdot \, 7876^{2} = 1$ |
| $1657$ | $230089311110767526480728245224891806849$ | $5652429959428489976269630864789895280$ | $230089311110767526480728245224891806849^{2} \, - \, $$1657$$ \, \cdot \, 5652429959428489976269630864789895280^{2} = 1$ |
| $1658$ | $3817806963$ | $93760886$ | $3817806963^{2} \, - \, $$1658$$ \, \cdot \, 93760886^{2} = 1$ |
| $1659$ | $747655$ | $18356$ | $747655^{2} \, - \, $$1659$$ \, \cdot \, 18356^{2} = 1$ |
| $1661$ | $12416252642220275199$ | $304653186299769440$ | $12416252642220275199^{2} \, - \, $$1661$$ \, \cdot \, 304653186299769440^{2} = 1$ |
| $1662$ | $64353749$ | $1578550$ | $64353749^{2} \, - \, $$1662$$ \, \cdot \, 1578550^{2} = 1$ |
| $1663$ | $172548834009765974150624$ | $4231222898258884355775$ | $172548834009765974150624^{2} \, - \, $$1663$$ \, \cdot \, 4231222898258884355775^{2} = 1$ |
| $1667$ | $272140632242$ | $6665390367$ | $272140632242^{2} \, - \, $$1667$$ \, \cdot \, 6665390367^{2} = 1$ |
| $1669$ | $2340275266476287900450581841147662370297772626212288201$ | $57284717328038737412405689988022934138392598249664340$ | $2340275266476287900450581841147662370297772626212288201^{2} \, - \, $$1669$$ \, \cdot \, 57284717328038737412405689988022934138392598249664340^{2} = 1$ |
| $1670$ | $100045691$ | $2448162$ | $100045691^{2} \, - \, $$1670$$ \, \cdot \, 2448162^{2} = 1$ |
| $1671$ | $9558676$ | $233835$ | $9558676^{2} \, - \, $$1671$$ \, \cdot \, 233835^{2} = 1$ |
| $1673$ | $3178424641407$ | $77707680976$ | $3178424641407^{2} \, - \, $$1673$$ \, \cdot \, 77707680976^{2} = 1$ |
| $1677$ | $34399$ | $840$ | $34399^{2} \, - \, $$1677$$ \, \cdot \, 840^{2} = 1$ |
| $1678$ | $9777409878270240143$ | $238686492939208596$ | $9777409878270240143^{2} \, - \, $$1678$$ \, \cdot \, 238686492939208596^{2} = 1$ |
| $1679$ | $1680$ | $41$ | $1680^{2} \, - \, $$1679$$ \, \cdot \, 41^{2} = 1$ |
| $1685$ | $2383536969$ | $58066004$ | $2383536969^{2} \, - \, $$1685$$ \, \cdot \, 58066004^{2} = 1$ |
| $1686$ | $35350768325$ | $860934422$ | $35350768325^{2} \, - \, $$1686$$ \, \cdot \, 860934422^{2} = 1$ |
| $1687$ | $34655415003224$ | $843749566395$ | $34655415003224^{2} \, - \, $$1687$$ \, \cdot \, 843749566395^{2} = 1$ |
| $1689$ | $32165559846732699944855$ | $782665679312412462996$ | $32165559846732699944855^{2} \, - \, $$1689$$ \, \cdot \, 782665679312412462996^{2} = 1$ |
| $1691$ | $33501079090$ | $814679883$ | $33501079090^{2} \, - \, $$1691$$ \, \cdot \, 814679883^{2} = 1$ |
| $1693$ | $3347246173698861715400298156892411849$ | $81350302974597900525875082210468540$ | $3347246173698861715400298156892411849^{2} \, - \, $$1693$$ \, \cdot \, 81350302974597900525875082210468540^{2} = 1$ |
| $1695$ | $249616$ | $6063$ | $249616^{2} \, - \, $$1695$$ \, \cdot \, 6063^{2} = 1$ |
| $1697$ | $276165737906448719649$ | $6703920821893618840$ | $276165737906448719649^{2} \, - \, $$1697$$ \, \cdot \, 6703920821893618840^{2} = 1$ |
| $1698$ | $4947715601$ | $120070380$ | $4947715601^{2} \, - \, $$1698$$ \, \cdot \, 120070380^{2} = 1$ |
| $1699$ | $2743345037851573163040031857578450$ | $66555468361862588059573967039601$ | $2743345037851573163040031857578450^{2} \, - \, $$1699$$ \, \cdot \, 66555468361862588059573967039601^{2} = 1$ |
| $1702$ | $231069000116251$ | $5600952727350$ | $231069000116251^{2} \, - \, $$1702$$ \, \cdot \, 5600952727350^{2} = 1$ |
| $1703$ | $1937753$ | $46956$ | $1937753^{2} \, - \, $$1703$$ \, \cdot \, 46956^{2} = 1$ |
| $1705$ | $991$ | $24$ | $991^{2} \, - \, $$1705$$ \, \cdot \, 24^{2} = 1$ |
| $1706$ | $464962384640822451$ | $11257146203165230$ | $464962384640822451^{2} \, - \, $$1706$$ \, \cdot \, 11257146203165230^{2} = 1$ |
| $1707$ | $616226$ | $14915$ | $616226^{2} \, - \, $$1707$$ \, \cdot \, 14915^{2} = 1$ |
| $1709$ | $12275567551745514715418401801688716704201$ | $296941261474754418895689188431662360740$ | $12275567551745514715418401801688716704201^{2} \, - \, $$1709$$ \, \cdot \, 296941261474754418895689188431662360740^{2} = 1$ |
| $1711$ | $12257063847449$ | $296320326540$ | $12257063847449^{2} \, - \, $$1711$$ \, \cdot \, 296320326540^{2} = 1$ |
| $1713$ | $38597180060887$ | $932560238356$ | $38597180060887^{2} \, - \, $$1713$$ \, \cdot \, 932560238356^{2} = 1$ |
| $1714$ | $85699$ | $2070$ | $85699^{2} \, - \, $$1714$$ \, \cdot \, 2070^{2} = 1$ |
| $1717$ | $51713$ | $1248$ | $51713^{2} \, - \, $$1717$$ \, \cdot \, 1248^{2} = 1$ |
| $1718$ | $137592901$ | $3319590$ | $137592901^{2} \, - \, $$1718$$ \, \cdot \, 3319590^{2} = 1$ |
| $1721$ | $20146877307386204293940577255201$ | $485643193698452138520439803320$ | $20146877307386204293940577255201^{2} \, - \, $$1721$$ \, \cdot \, 485643193698452138520439803320^{2} = 1$ |
| $1722$ | $83$ | $2$ | $83^{2} \, - \, $$1722$$ \, \cdot \, 2^{2} = 1$ |
| $1723$ | $527541088010971890626$ | $12709066495146742875$ | $527541088010971890626^{2} \, - \, $$1723$$ \, \cdot \, 12709066495146742875^{2} = 1$ |
| $1726$ | $2689844967637183200753607543760431273535$ | $64745092245111302274843632152698614232$ | $2689844967637183200753607543760431273535^{2} \, - \, $$1726$$ \, \cdot \, 64745092245111302274843632152698614232^{2} = 1$ |
| $1727$ | $25433$ | $612$ | $25433^{2} \, - \, $$1727$$ \, \cdot \, 612^{2} = 1$ |
| $1729$ | $44611924489705$ | $1072885712316$ | $44611924489705^{2} \, - \, $$1729$$ \, \cdot \, 1072885712316^{2} = 1$ |
| $1730$ | $10632611139$ | $255632978$ | $10632611139^{2} \, - \, $$1730$$ \, \cdot \, 255632978^{2} = 1$ |
| $1731$ | $1666375$ | $40052$ | $1666375^{2} \, - \, $$1731$$ \, \cdot \, 40052^{2} = 1$ |
| $1733$ | $13121910625238042893028027475849$ | $315208408380294046461405392740$ | $13121910625238042893028027475849^{2} \, - \, $$1733$$ \, \cdot \, 315208408380294046461405392740^{2} = 1$ |
| $1735$ | $3124$ | $75$ | $3124^{2} \, - \, $$1735$$ \, \cdot \, 75^{2} = 1$ |
| $1738$ | $2801715696553663$ | $67204627338744$ | $2801715696553663^{2} \, - \, $$1738$$ \, \cdot \, 67204627338744^{2} = 1$ |
| $1739$ | $34520185$ | $827796$ | $34520185^{2} \, - \, $$1739$$ \, \cdot \, 827796^{2} = 1$ |
| $1741$ | $200732766003831003193006297682960023218244607119128428033893005001$ | $4810817514964694733460371899299888507813254563349737403155528100$ | $200732766003831003193006297682960023218244607119128428033893005001^{2} \, - \, $$1741$$ \, \cdot \, 4810817514964694733460371899299888507813254563349737403155528100^{2} = 1$ |
| $1742$ | $96747$ | $2318$ | $96747^{2} \, - \, $$1742$$ \, \cdot \, 2318^{2} = 1$ |
| $1743$ | $167$ | $4$ | $167^{2} \, - \, $$1743$$ \, \cdot \, 4^{2} = 1$ |
| $1745$ | $32837409$ | $786088$ | $32837409^{2} \, - \, $$1745$$ \, \cdot \, 786088^{2} = 1$ |
| $1747$ | $722692635222980474388116882$ | $17290485040281059863874103$ | $722692635222980474388116882^{2} \, - \, $$1747$$ \, \cdot \, 17290485040281059863874103^{2} = 1$ |
| $1749$ | $31356358199$ | $749774580$ | $31356358199^{2} \, - \, $$1749$$ \, \cdot \, 749774580^{2} = 1$ |
| $1751$ | $34815$ | $832$ | $34815^{2} \, - \, $$1751$$ \, \cdot \, 832^{2} = 1$ |
| $1753$ | $1619748562245139313693000103452757473032993$ | $38686250985878460680927299688094405197496$ | $1619748562245139313693000103452757473032993^{2} \, - \, $$1753$$ \, \cdot \, 38686250985878460680927299688094405197496^{2} = 1$ |
| $1754$ | $85240173975114903632499$ | $2035305156619813089050$ | $85240173975114903632499^{2} \, - \, $$1754$$ \, \cdot \, 2035305156619813089050^{2} = 1$ |
| $1757$ | $503$ | $12$ | $503^{2} \, - \, $$1757$$ \, \cdot \, 12^{2} = 1$ |
| $1758$ | $587$ | $14$ | $587^{2} \, - \, $$1758$$ \, \cdot \, 14^{2} = 1$ |
| $1759$ | $171219104308739629828563069290064892640$ | $4082435210582013346732801540734333681$ | $171219104308739629828563069290064892640^{2} \, - \, $$1759$$ \, \cdot \, 4082435210582013346732801540734333681^{2} = 1$ |
| $1761$ | $1175$ | $28$ | $1175^{2} \, - \, $$1761$$ \, \cdot \, 28^{2} = 1$ |
| $1762$ | $1763$ | $42$ | $1763^{2} \, - \, $$1762$$ \, \cdot \, 42^{2} = 1$ |
| $1763$ | $42$ | $1$ | $42^{2} \, - \, $$1763$$ \, \cdot \, 1^{2} = 1$ |
| $1765$ | $3529$ | $84$ | $3529^{2} \, - \, $$1765$$ \, \cdot \, 84^{2} = 1$ |
| $1766$ | $1765$ | $42$ | $1765^{2} \, - \, $$1766$$ \, \cdot \, 42^{2} = 1$ |
| $1767$ | $1177$ | $28$ | $1177^{2} \, - \, $$1767$$ \, \cdot \, 28^{2} = 1$ |
| $1769$ | $30905719492118049$ | $734809803891160$ | $30905719492118049^{2} \, - \, $$1769$$ \, \cdot \, 734809803891160^{2} = 1$ |
| $1770$ | $589$ | $14$ | $589^{2} \, - \, $$1770$$ \, \cdot \, 14^{2} = 1$ |
| $1771$ | $505$ | $12$ | $505^{2} \, - \, $$1771$$ \, \cdot \, 12^{2} = 1$ |
| $1774$ | $125288009537733004908595972131215$ | $2974628275728557930834554244724$ | $125288009537733004908595972131215^{2} \, - \, $$1774$$ \, \cdot \, 2974628275728557930834554244724^{2} = 1$ |
| $1777$ | $114654350050825314539681710339770969616513$ | $2719861708389141746619218981337647759472$ | $114654350050825314539681710339770969616513^{2} \, - \, $$1777$$ \, \cdot \, 2719861708389141746619218981337647759472^{2} = 1$ |
| $1778$ | $253$ | $6$ | $253^{2} \, - \, $$1778$$ \, \cdot \, 6^{2} = 1$ |
| $1779$ | $84624555410$ | $2006357991$ | $84624555410^{2} \, - \, $$1779$$ \, \cdot \, 2006357991^{2} = 1$ |
| $1781$ | $44128916375049$ | $1045661946020$ | $44128916375049^{2} \, - \, $$1781$$ \, \cdot \, 1045661946020^{2} = 1$ |
| $1783$ | $300574618222444417557224$ | $7118305658345640812235$ | $300574618222444417557224^{2} \, - \, $$1783$$ \, \cdot \, 7118305658345640812235^{2} = 1$ |
| $1785$ | $169$ | $4$ | $169^{2} \, - \, $$1785$$ \, \cdot \, 4^{2} = 1$ |
| $1786$ | $78064935471648262925$ | $1847205775499723178$ | $78064935471648262925^{2} \, - \, $$1786$$ \, \cdot \, 1847205775499723178^{2} = 1$ |
| $1787$ | $216226$ | $5115$ | $216226^{2} \, - \, $$1787$$ \, \cdot \, 5115^{2} = 1$ |
| $1789$ | $13673687937600285436522338047798889300505982960692087644059539022368201$ | $323281233024712565221770716009156212819348235266978239649677477568260$ | $13673687937600285436522338047798889300505982960692087644059539022368201^{2} \, - \, $$1789$$ \, \cdot \, 323281233024712565221770716009156212819348235266978239649677477568260^{2} = 1$ |
| $1790$ | $60501$ | $1430$ | $60501^{2} \, - \, $$1790$$ \, \cdot \, 1430^{2} = 1$ |
| $1793$ | $262535353551703$ | $6200085091284$ | $262535353551703^{2} \, - \, $$1793$$ \, \cdot \, 6200085091284^{2} = 1$ |
| $1794$ | $12582335$ | $297064$ | $12582335^{2} \, - \, $$1794$$ \, \cdot \, 297064^{2} = 1$ |
| $1795$ | $2389684563359$ | $56403798408$ | $2389684563359^{2} \, - \, $$1795$$ \, \cdot \, 56403798408^{2} = 1$ |
| $1797$ | $15908371013339999$ | $375276761753400$ | $15908371013339999^{2} \, - \, $$1797$$ \, \cdot \, 375276761753400^{2} = 1$ |
| $1798$ | $2089768622363$ | $49283706246$ | $2089768622363^{2} \, - \, $$1798$$ \, \cdot \, 49283706246^{2} = 1$ |
| $1799$ | $3024120$ | $71299$ | $3024120^{2} \, - \, $$1799$$ \, \cdot \, 71299^{2} = 1$ |
| $1801$ | $806667238174283887339603999510156079461856181188670036342049$ | $19008049861749803182382268306718420151334269606450750222280$ | $806667238174283887339603999510156079461856181188670036342049^{2} \, - \, $$1801$$ \, \cdot \, 19008049861749803182382268306718420151334269606450750222280^{2} = 1$ |
| $1802$ | $849$ | $20$ | $849^{2} \, - \, $$1802$$ \, \cdot \, 20^{2} = 1$ |
| $1803$ | $203137$ | $4784$ | $203137^{2} \, - \, $$1803$$ \, \cdot \, 4784^{2} = 1$ |
| $1806$ | $85$ | $2$ | $85^{2} \, - \, $$1806$$ \, \cdot \, 2^{2} = 1$ |
| $1807$ | $146471428766233$ | $3445671269172$ | $146471428766233^{2} \, - \, $$1807$$ \, \cdot \, 3445671269172^{2} = 1$ |
| $1810$ | $104491504202900419$ | $2456075391002874$ | $104491504202900419^{2} \, - \, $$1810$$ \, \cdot \, 2456075391002874^{2} = 1$ |
| $1811$ | $146690$ | $3447$ | $146690^{2} \, - \, $$1811$$ \, \cdot \, 3447^{2} = 1$ |
| $1814$ | $789064983271716805$ | $18526531941823254$ | $789064983271716805^{2} \, - \, $$1814$$ \, \cdot \, 18526531941823254^{2} = 1$ |
| $1817$ | $23937367869663$ | $561563575352$ | $23937367869663^{2} \, - \, $$1817$$ \, \cdot \, 561563575352^{2} = 1$ |
| $1819$ | $44077149500774570$ | $1033468279123611$ | $44077149500774570^{2} \, - \, $$1819$$ \, \cdot \, 1033468279123611^{2} = 1$ |
| $1821$ | $27895878625724240557523549815$ | $653709914682473849947668012$ | $27895878625724240557523549815^{2} \, - \, $$1821$$ \, \cdot \, 653709914682473849947668012^{2} = 1$ |
| $1822$ | $371368817235398339023103$ | $8700240303998557258992$ | $371368817235398339023103^{2} \, - \, $$1822$$ \, \cdot \, 8700240303998557258992^{2} = 1$ |
| $1823$ | $396777789408$ | $9292958959$ | $396777789408^{2} \, - \, $$1823$$ \, \cdot \, 9292958959^{2} = 1$ |
| $1826$ | $3069505$ | $71832$ | $3069505^{2} \, - \, $$1826$$ \, \cdot \, 71832^{2} = 1$ |
| $1829$ | $270242224363704372219999$ | $6318970882787739474200$ | $270242224363704372219999^{2} \, - \, $$1829$$ \, \cdot \, 6318970882787739474200^{2} = 1$ |
| $1830$ | $59291$ | $1386$ | $59291^{2} \, - \, $$1830$$ \, \cdot \, 1386^{2} = 1$ |
| $1831$ | $1918032733134113893633567757731959058040$ | $44824127254720935022058326058303814477$ | $1918032733134113893633567757731959058040^{2} \, - \, $$1831$$ \, \cdot \, 44824127254720935022058326058303814477^{2} = 1$ |
| $1833$ | $4253783$ | $99356$ | $4253783^{2} \, - \, $$1833$$ \, \cdot \, 99356^{2} = 1$ |
| $1834$ | $218268829391589325$ | $5096735001878706$ | $218268829391589325^{2} \, - \, $$1834$$ \, \cdot \, 5096735001878706^{2} = 1$ |
| $1835$ | $1097124846$ | $25611677$ | $1097124846^{2} \, - \, $$1835$$ \, \cdot \, 25611677^{2} = 1$ |
| $1837$ | $11896195389280834861151$ | $277557847295851334520$ | $11896195389280834861151^{2} \, - \, $$1837$$ \, \cdot \, 277557847295851334520^{2} = 1$ |
| $1838$ | $24564830389263$ | $572982049244$ | $24564830389263^{2} \, - \, $$1838$$ \, \cdot \, 572982049244^{2} = 1$ |
| $1839$ | $26133415$ | $609404$ | $26133415^{2} \, - \, $$1839$$ \, \cdot \, 609404^{2} = 1$ |
| $1841$ | $221708542820333535$ | $5167203114643592$ | $221708542820333535^{2} \, - \, $$1841$$ \, \cdot \, 5167203114643592^{2} = 1$ |
| $1842$ | $5057485457$ | $117839212$ | $5057485457^{2} \, - \, $$1842$$ \, \cdot \, 117839212^{2} = 1$ |
| $1843$ | $49871434404842$ | $1161687167529$ | $49871434404842^{2} \, - \, $$1843$$ \, \cdot \, 1161687167529^{2} = 1$ |
| $1846$ | $6289018486180795$ | $146375038721562$ | $6289018486180795^{2} \, - \, $$1846$$ \, \cdot \, 146375038721562^{2} = 1$ |
| $1847$ | $1848$ | $43$ | $1848^{2} \, - \, $$1847$$ \, \cdot \, 43^{2} = 1$ |
| $1851$ | $1850$ | $43$ | $1850^{2} \, - \, $$1851$$ \, \cdot \, 43^{2} = 1$ |
| $1853$ | $3170946249$ | $73663300$ | $3170946249^{2} \, - \, $$1853$$ \, \cdot \, 73663300^{2} = 1$ |
| $1855$ | $7373836$ | $171207$ | $7373836^{2} \, - \, $$1855$$ \, \cdot \, 171207^{2} = 1$ |
| $1857$ | $2384332526604623767$ | $55330025645916772$ | $2384332526604623767^{2} \, - \, $$1857$$ \, \cdot \, 55330025645916772^{2} = 1$ |
| $1858$ | $763416899$ | $17710830$ | $763416899^{2} \, - \, $$1858$$ \, \cdot \, 17710830^{2} = 1$ |
| $1861$ | $7077752008438005001$ | $164067346843752900$ | $7077752008438005001^{2} \, - \, $$1861$$ \, \cdot \, 164067346843752900^{2} = 1$ |
| $1865$ | $118187440929$ | $2736729736$ | $118187440929^{2} \, - \, $$1865$$ \, \cdot \, 2736729736^{2} = 1$ |
| $1866$ | $15551$ | $360$ | $15551^{2} \, - \, $$1866$$ \, \cdot \, 360^{2} = 1$ |
| $1867$ | $87726791690293922$ | $2030299407245043$ | $87726791690293922^{2} \, - \, $$1867$$ \, \cdot \, 2030299407245043^{2} = 1$ |
| $1869$ | $8510103765449$ | $196847636580$ | $8510103765449^{2} \, - \, $$1869$$ \, \cdot \, 196847636580^{2} = 1$ |
| $1870$ | $19682191$ | $455148$ | $19682191^{2} \, - \, $$1870$$ \, \cdot \, 455148^{2} = 1$ |
| $1871$ | $14960670347259644125807440$ | $345871008137584484948087$ | $14960670347259644125807440^{2} \, - \, $$1871$$ \, \cdot \, 345871008137584484948087^{2} = 1$ |
| $1873$ | $66646007780116951182547242065928991437872293825926433$ | $1539945144498948869710411296974494665952998698040984$ | $66646007780116951182547242065928991437872293825926433^{2} \, - \, $$1873$$ \, \cdot \, 1539945144498948869710411296974494665952998698040984^{2} = 1$ |
| $1874$ | $21455425$ | $495624$ | $21455425^{2} \, - \, $$1874$$ \, \cdot \, 495624^{2} = 1$ |
| $1877$ | $8483443124159168649$ | $195812321451440260$ | $8483443124159168649^{2} \, - \, $$1877$$ \, \cdot \, 195812321451440260^{2} = 1$ |
| $1878$ | $16901$ | $390$ | $16901^{2} \, - \, $$1878$$ \, \cdot \, 390^{2} = 1$ |
| $1879$ | $94345422639044420558808634792532120$ | $2176493849722945361406489700835109$ | $94345422639044420558808634792532120^{2} \, - \, $$1879$$ \, \cdot \, 2176493849722945361406489700835109^{2} = 1$ |
| $1882$ | $29814643$ | $687258$ | $29814643^{2} \, - \, $$1882$$ \, \cdot \, 687258^{2} = 1$ |
| $1883$ | $6726$ | $155$ | $6726^{2} \, - \, $$1883$$ \, \cdot \, 155^{2} = 1$ |
| $1885$ | $521$ | $12$ | $521^{2} \, - \, $$1885$$ \, \cdot \, 12^{2} = 1$ |
| $1886$ | $92415$ | $2128$ | $92415^{2} \, - \, $$1886$$ \, \cdot \, 2128^{2} = 1$ |
| $1887$ | $8992$ | $207$ | $8992^{2} \, - \, $$1887$$ \, \cdot \, 207^{2} = 1$ |
| $1889$ | $36981073720080844052144960978049$ | $850870638559564006506264967760$ | $36981073720080844052144960978049^{2} \, - \, $$1889$$ \, \cdot \, 850870638559564006506264967760^{2} = 1$ |
| $1891$ | $819136267782775550$ | $18836941567957233$ | $819136267782775550^{2} \, - \, $$1891$$ \, \cdot \, 18836941567957233^{2} = 1$ |
| $1893$ | $5047$ | $116$ | $5047^{2} \, - \, $$1893$$ \, \cdot \, 116^{2} = 1$ |
| $1894$ | $226309103832669021290704832069984034245$ | $5200104096794640672678934313809609086$ | $226309103832669021290704832069984034245^{2} \, - \, $$1894$$ \, \cdot \, 5200104096794640672678934313809609086^{2} = 1$ |
| $1895$ | $54849639$ | $1259996$ | $54849639^{2} \, - \, $$1895$$ \, \cdot \, 1259996^{2} = 1$ |
| $1897$ | $43903$ | $1008$ | $43903^{2} \, - \, $$1897$$ \, \cdot \, 1008^{2} = 1$ |
| $1898$ | $10662963$ | $244754$ | $10662963^{2} \, - \, $$1898$$ \, \cdot \, 244754^{2} = 1$ |
| $1901$ | $95049$ | $2180$ | $95049^{2} \, - \, $$1901$$ \, \cdot \, 2180^{2} = 1$ |
| $1902$ | $2846027$ | $65258$ | $2846027^{2} \, - \, $$1902$$ \, \cdot \, 65258^{2} = 1$ |
| $1903$ | $875034172$ | $20058831$ | $875034172^{2} \, - \, $$1903$$ \, \cdot \, 20058831^{2} = 1$ |
| $1905$ | $10709910761$ | $245379548$ | $10709910761^{2} \, - \, $$1905$$ \, \cdot \, 245379548^{2} = 1$ |
| $1906$ | $229206573179802193699$ | $5250076359252217890$ | $229206573179802193699^{2} \, - \, $$1906$$ \, \cdot \, 5250076359252217890^{2} = 1$ |
| $1907$ | $17162$ | $393$ | $17162^{2} \, - \, $$1907$$ \, \cdot \, 393^{2} = 1$ |
| $1909$ | $2380667255$ | $54487356$ | $2380667255^{2} \, - \, $$1909$$ \, \cdot \, 54487356^{2} = 1$ |
| $1910$ | $278479$ | $6372$ | $278479^{2} \, - \, $$1910$$ \, \cdot \, 6372^{2} = 1$ |
| $1913$ | $45099388699237198022388513$ | $1031129401013034423392056$ | $45099388699237198022388513^{2} \, - \, $$1913$$ \, \cdot \, 1031129401013034423392056^{2} = 1$ |
| $1914$ | $175$ | $4$ | $175^{2} \, - \, $$1914$$ \, \cdot \, 4^{2} = 1$ |
| $1915$ | $1027150205228001406$ | $23471971442429307$ | $1027150205228001406^{2} \, - \, $$1915$$ \, \cdot \, 23471971442429307^{2} = 1$ |
| $1918$ | $416753$ | $9516$ | $416753^{2} \, - \, $$1918$$ \, \cdot \, 9516^{2} = 1$ |
| $1919$ | $77244401049$ | $1763313460$ | $77244401049^{2} \, - \, $$1919$$ \, \cdot \, 1763313460^{2} = 1$ |
| $1921$ | $10192726099458738978050281249$ | $232555530178603601325441000$ | $10192726099458738978050281249^{2} \, - \, $$1921$$ \, \cdot \, 232555530178603601325441000^{2} = 1$ |
| $1923$ | $4367227226$ | $99590095$ | $4367227226^{2} \, - \, $$1923$$ \, \cdot \, 99590095^{2} = 1$ |
| $1927$ | $46636702417448$ | $1062397346883$ | $46636702417448^{2} \, - \, $$1927$$ \, \cdot \, 1062397346883^{2} = 1$ |
| $1929$ | $126794455$ | $2886916$ | $126794455^{2} \, - \, $$1929$$ \, \cdot \, 2886916^{2} = 1$ |
| $1930$ | $128648082263059$ | $2928361322694$ | $128648082263059^{2} \, - \, $$1930$$ \, \cdot \, 2928361322694^{2} = 1$ |
| $1931$ | $53405823410$ | $1215339123$ | $53405823410^{2} \, - \, $$1931$$ \, \cdot \, 1215339123^{2} = 1$ |
| $1933$ | $143801925919973973006746044614830462252244345987283849$ | $3270760735371267636227864743687616171541802967004660$ | $143801925919973973006746044614830462252244345987283849^{2} \, - \, $$1933$$ \, \cdot \, 3270760735371267636227864743687616171541802967004660^{2} = 1$ |
| $1934$ | $1935$ | $44$ | $1935^{2} \, - \, $$1934$$ \, \cdot \, 44^{2} = 1$ |
| $1937$ | $3873$ | $88$ | $3873^{2} \, - \, $$1937$$ \, \cdot \, 88^{2} = 1$ |
| $1938$ | $1937$ | $44$ | $1937^{2} \, - \, $$1938$$ \, \cdot \, 44^{2} = 1$ |
| $1939$ | $6672165474011915935$ | $151522771012903896$ | $6672165474011915935^{2} \, - \, $$1939$$ \, \cdot \, 151522771012903896^{2} = 1$ |
| $1941$ | $582709607499783953373016131935$ | $13226331726483194685799879992$ | $582709607499783953373016131935^{2} \, - \, $$1941$$ \, \cdot \, 13226331726483194685799879992^{2} = 1$ |
| $1942$ | $6984160935186866597$ | $158485533243485118$ | $6984160935186866597^{2} \, - \, $$1942$$ \, \cdot \, 158485533243485118^{2} = 1$ |
| $1943$ | $83751$ | $1900$ | $83751^{2} \, - \, $$1943$$ \, \cdot \, 1900^{2} = 1$ |
| $1945$ | $2632285113641$ | $59686089372$ | $2632285113641^{2} \, - \, $$1945$$ \, \cdot \, 59686089372^{2} = 1$ |
| $1946$ | $121257485$ | $2748762$ | $121257485^{2} \, - \, $$1946$$ \, \cdot \, 2748762^{2} = 1$ |
| $1947$ | $353$ | $8$ | $353^{2} \, - \, $$1947$$ \, \cdot \, 8^{2} = 1$ |
| $1949$ | $13850471049$ | $313731860$ | $13850471049^{2} \, - \, $$1949$$ \, \cdot \, 313731860^{2} = 1$ |
| $1951$ | $226742438218831488120936558859828640$ | $5133389024333877559662473405561007$ | $226742438218831488120936558859828640^{2} \, - \, $$1951$$ \, \cdot \, 5133389024333877559662473405561007^{2} = 1$ |
| $1954$ | $4691555$ | $106134$ | $4691555^{2} \, - \, $$1954$$ \, \cdot \, 106134^{2} = 1$ |
| $1955$ | $2874$ | $65$ | $2874^{2} \, - \, $$1955$$ \, \cdot \, 65^{2} = 1$ |
| $1957$ | $400881151$ | $9061920$ | $400881151^{2} \, - \, $$1957$$ \, \cdot \, 9061920^{2} = 1$ |
| $1958$ | $177$ | $4$ | $177^{2} \, - \, $$1958$$ \, \cdot \, 4^{2} = 1$ |
| $1959$ | $9719730001876$ | $219602349925$ | $9719730001876^{2} \, - \, $$1959$$ \, \cdot \, 219602349925^{2} = 1$ |
| $1961$ | $5431118185$ | $122645172$ | $5431118185^{2} \, - \, $$1961$$ \, \cdot \, 122645172^{2} = 1$ |
| $1963$ | $24445564472798$ | $551746923459$ | $24445564472798^{2} \, - \, $$1963$$ \, \cdot \, 551746923459^{2} = 1$ |
| $1965$ | $1176119$ | $26532$ | $1176119^{2} \, - \, $$1965$$ \, \cdot \, 26532^{2} = 1$ |
| $1966$ | $9850975268107008669640939861775$ | $222171052269092942126897458308$ | $9850975268107008669640939861775^{2} \, - \, $$1966$$ \, \cdot \, 222171052269092942126897458308^{2} = 1$ |
| $1967$ | $2528$ | $57$ | $2528^{2} \, - \, $$1967$$ \, \cdot \, 57^{2} = 1$ |
| $1969$ | $46885009158085926066844328473751$ | $1056601315610203746069441327300$ | $46885009158085926066844328473751^{2} \, - \, $$1969$$ \, \cdot \, 1056601315610203746069441327300^{2} = 1$ |
| $1970$ | $665859$ | $15002$ | $665859^{2} \, - \, $$1970$$ \, \cdot \, 15002^{2} = 1$ |
| $1973$ | $15673705353$ | $352864636$ | $15673705353^{2} \, - \, $$1973$$ \, \cdot \, 352864636^{2} = 1$ |
| $1974$ | $1376255$ | $30976$ | $1376255^{2} \, - \, $$1974$$ \, \cdot \, 30976^{2} = 1$ |
| $1977$ | $230201397518423$ | $5177315380292$ | $230201397518423^{2} \, - \, $$1977$$ \, \cdot \, 5177315380292^{2} = 1$ |
| $1978$ | $60973994702573$ | $1370981217774$ | $60973994702573^{2} \, - \, $$1978$$ \, \cdot \, 1370981217774^{2} = 1$ |
| $1979$ | $196956439969690$ | $4427384992341$ | $196956439969690^{2} \, - \, $$1979$$ \, \cdot \, 4427384992341^{2} = 1$ |
| $1981$ | $478731918732725530377313576551512366455$ | $10755983977504786513343290157817764652$ | $478731918732725530377313576551512366455^{2} \, - \, $$1981$$ \, \cdot \, 10755983977504786513343290157817764652^{2} = 1$ |
| $1982$ | $438784358463$ | $9855968632$ | $438784358463^{2} \, - \, $$1982$$ \, \cdot \, 9855968632^{2} = 1$ |
| $1983$ | $354724327$ | $7965804$ | $354724327^{2} \, - \, $$1983$$ \, \cdot \, 7965804^{2} = 1$ |
| $1985$ | $7277897861828346369$ | $163352468178638816$ | $7277897861828346369^{2} \, - \, $$1985$$ \, \cdot \, 163352468178638816^{2} = 1$ |
| $1986$ | $13209364625$ | $296409628$ | $13209364625^{2} \, - \, $$1986$$ \, \cdot \, 296409628^{2} = 1$ |
| $1987$ | $2163842$ | $48543$ | $2163842^{2} \, - \, $$1987$$ \, \cdot \, 48543^{2} = 1$ |
| $1990$ | $35314095433681999$ | $791628731408580$ | $35314095433681999^{2} \, - \, $$1990$$ \, \cdot \, 791628731408580^{2} = 1$ |
| $1991$ | $95638951$ | $2143380$ | $95638951^{2} \, - \, $$1991$$ \, \cdot \, 2143380^{2} = 1$ |
| $1993$ | $95533468778868471170054252659885376539035649$ | $2139941483287135231593131558297490898854720$ | $95533468778868471170054252659885376539035649^{2} \, - \, $$1993$$ \, \cdot \, 2139941483287135231593131558297490898854720^{2} = 1$ |
| $1994$ | $14178877526856051$ | $317525986680530$ | $14178877526856051^{2} \, - \, $$1994$$ \, \cdot \, 317525986680530^{2} = 1$ |
| $1995$ | $134$ | $3$ | $134^{2} \, - \, $$1995$$ \, \cdot \, 3^{2} = 1$ |
| $1997$ | $295547530063295123979849$ | $6613605743817751666820$ | $295547530063295123979849^{2} \, - \, $$1997$$ \, \cdot \, 6613605743817751666820^{2} = 1$ |
| $1999$ | $4027701399389138208695911951306886478800$ | $90084665203202024260494303744425250249$ | $4027701399389138208695911951306886478800^{2} \, - \, $$1999$$ \, \cdot \, 90084665203202024260494303744425250249^{2} = 1$ |