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 |
|---|---|---|---|
| $2001$ | $19742928095$ | $441354968$ | $19742928095^{2} \, - \, $$2001$$ \, \cdot \, 441354968^{2} = 1$ |
| $2002$ | $11325887$ | $253128$ | $11325887^{2} \, - \, $$2002$$ \, \cdot \, 253128^{2} = 1$ |
| $2003$ | $4344427204728362$ | $97071569134791$ | $4344427204728362^{2} \, - \, $$2003$$ \, \cdot \, 97071569134791^{2} = 1$ |
| $2005$ | $32724809$ | $730836$ | $32724809^{2} \, - \, $$2005$$ \, \cdot \, 730836^{2} = 1$ |
| $2006$ | $638145$ | $14248$ | $638145^{2} \, - \, $$2006$$ \, \cdot \, 14248^{2} = 1$ |
| $2010$ | $269$ | $6$ | $269^{2} \, - \, $$2010$$ \, \cdot \, 6^{2} = 1$ |
| $2011$ | $22903355954053525066202335319378237605968890$ | $510732021116138713675018566232201605320997$ | $22903355954053525066202335319378237605968890^{2} \, - \, $$2011$$ \, \cdot \, 510732021116138713675018566232201605320997^{2} = 1$ |
| $2013$ | $152409599$ | $3396960$ | $152409599^{2} \, - \, $$2013$$ \, \cdot \, 3396960^{2} = 1$ |
| $2014$ | $32379412473170124875$ | $721504810595091954$ | $32379412473170124875^{2} \, - \, $$2014$$ \, \cdot \, 721504810595091954^{2} = 1$ |
| $2015$ | $404$ | $9$ | $404^{2} \, - \, $$2015$$ \, \cdot \, 9^{2} = 1$ |
| $2017$ | $22691017898615873418283839489716246568157231499338273$ | $505243842362839347335084683756885179819279000763128$ | $22691017898615873418283839489716246568157231499338273^{2} \, - \, $$2017$$ \, \cdot \, 505243842362839347335084683756885179819279000763128^{2} = 1$ |
| $2018$ | $56280003$ | $1252834$ | $56280003^{2} \, - \, $$2018$$ \, \cdot \, 1252834^{2} = 1$ |
| $2019$ | $674$ | $15$ | $674^{2} \, - \, $$2019$$ \, \cdot \, 15^{2} = 1$ |
| $2021$ | $45495$ | $1012$ | $45495^{2} \, - \, $$2021$$ \, \cdot \, 1012^{2} = 1$ |
| $2022$ | $1349$ | $30$ | $1349^{2} \, - \, $$2022$$ \, \cdot \, 30^{2} = 1$ |
| $2026$ | $4051$ | $90$ | $4051^{2} \, - \, $$2026$$ \, \cdot \, 90^{2} = 1$ |
| $2027$ | $2026$ | $45$ | $2026^{2} \, - \, $$2027$$ \, \cdot \, 45^{2} = 1$ |
| $2029$ | $4164193801$ | $92446380$ | $4164193801^{2} \, - \, $$2029$$ \, \cdot \, 92446380^{2} = 1$ |
| $2030$ | $811$ | $18$ | $811^{2} \, - \, $$2030$$ \, \cdot \, 18^{2} = 1$ |
| $2031$ | $676$ | $15$ | $676^{2} \, - \, $$2031$$ \, \cdot \, 15^{2} = 1$ |
| $2033$ | $61795078487$ | $1370519436$ | $61795078487^{2} \, - \, $$2033$$ \, \cdot \, 1370519436^{2} = 1$ |
| $2035$ | $406$ | $9$ | $406^{2} \, - \, $$2035$$ \, \cdot \, 9^{2} = 1$ |
| $2037$ | $155143351$ | $3437460$ | $155143351^{2} \, - \, $$2037$$ \, \cdot \, 3437460^{2} = 1$ |
| $2038$ | $16073715125005882674057412962488837$ | $356052612909782828757661492925706$ | $16073715125005882674057412962488837^{2} \, - \, $$2038$$ \, \cdot \, 356052612909782828757661492925706^{2} = 1$ |
| $2039$ | $179221048487196942112440$ | $3968993620357130831179$ | $179221048487196942112440^{2} \, - \, $$2039$$ \, \cdot \, 3968993620357130831179^{2} = 1$ |
| $2041$ | $15380575814145385$ | $340448239257108$ | $15380575814145385^{2} \, - \, $$2041$$ \, \cdot \, 340448239257108^{2} = 1$ |
| $2042$ | $10775075410899$ | $238447322110$ | $10775075410899^{2} \, - \, $$2042$$ \, \cdot \, 238447322110^{2} = 1$ |
| $2045$ | $33708961$ | $745416$ | $33708961^{2} \, - \, $$2045$$ \, \cdot \, 745416^{2} = 1$ |
| $2046$ | $1668545$ | $36888$ | $1668545^{2} \, - \, $$2046$$ \, \cdot \, 36888^{2} = 1$ |
| $2047$ | $5566204448$ | $123026943$ | $5566204448^{2} \, - \, $$2047$$ \, \cdot \, 123026943^{2} = 1$ |
| $2049$ | $28661728361680464688535$ | $633186135065525829476$ | $28661728361680464688535^{2} \, - \, $$2049$$ \, \cdot \, 633186135065525829476^{2} = 1$ |
| $2051$ | $20521767174$ | $453139505$ | $20521767174^{2} \, - \, $$2051$$ \, \cdot \, 453139505^{2} = 1$ |
| $2053$ | $250607337495961345281030961012407293763134459221296801448080649$ | $5530944591957664391168044355584108756032547977899443803262020$ | $250607337495961345281030961012407293763134459221296801448080649^{2} \, - \, $$2053$$ \, \cdot \, 5530944591957664391168044355584108756032547977899443803262020^{2} = 1$ |
| $2054$ | $1877199$ | $41420$ | $1877199^{2} \, - \, $$2054$$ \, \cdot \, 41420^{2} = 1$ |
| $2055$ | $136$ | $3$ | $136^{2} \, - \, $$2055$$ \, \cdot \, 3^{2} = 1$ |
| $2059$ | $76292657571747809951$ | $1681336224678949560$ | $76292657571747809951^{2} \, - \, $$2059$$ \, \cdot \, 1681336224678949560^{2} = 1$ |
| $2062$ | $567034525839383717427728783$ | $12487203022606223107580268$ | $567034525839383717427728783^{2} \, - \, $$2062$$ \, \cdot \, 12487203022606223107580268^{2} = 1$ |
| $2063$ | $173135049024$ | $3811846295$ | $173135049024^{2} \, - \, $$2063$$ \, \cdot \, 3811846295^{2} = 1$ |
| $2065$ | $14475574716119$ | $318548663508$ | $14475574716119^{2} \, - \, $$2065$$ \, \cdot \, 318548663508^{2} = 1$ |
| $2066$ | $1930854760705$ | $42479994192$ | $1930854760705^{2} \, - \, $$2066$$ \, \cdot \, 42479994192^{2} = 1$ |
| $2067$ | $1273$ | $28$ | $1273^{2} \, - \, $$2067$$ \, \cdot \, 28^{2} = 1$ |
| $2069$ | $86255443617801$ | $1896296606180$ | $86255443617801^{2} \, - \, $$2069$$ \, \cdot \, 1896296606180^{2} = 1$ |
| $2071$ | $3367541100844631060$ | $73998489635355363$ | $3367541100844631060^{2} \, - \, $$2071$$ \, \cdot \, 73998489635355363^{2} = 1$ |
| $2073$ | $39676910452570843351$ | $871441415914250980$ | $39676910452570843351^{2} \, - \, $$2073$$ \, \cdot \, 871441415914250980^{2} = 1$ |
| $2074$ | $3109416451351132051$ | $68277013431540030$ | $3109416451351132051^{2} \, - \, $$2074$$ \, \cdot \, 68277013431540030^{2} = 1$ |
| $2077$ | $109506943$ | $2402832$ | $109506943^{2} \, - \, $$2077$$ \, \cdot \, 2402832^{2} = 1$ |
| $2078$ | $13206606399$ | $289713320$ | $13206606399^{2} \, - \, $$2078$$ \, \cdot \, 289713320^{2} = 1$ |
| $2081$ | $32967201$ | $722680$ | $32967201^{2} \, - \, $$2081$$ \, \cdot \, 722680^{2} = 1$ |
| $2082$ | $1529122817$ | $33512128$ | $1529122817^{2} \, - \, $$2082$$ \, \cdot \, 33512128^{2} = 1$ |
| $2083$ | $62445567158446396645849585981125626$ | $1368223292197435389350164213197825$ | $62445567158446396645849585981125626^{2} \, - \, $$2083$$ \, \cdot \, 1368223292197435389350164213197825^{2} = 1$ |
| $2085$ | $1285471$ | $28152$ | $1285471^{2} \, - \, $$2085$$ \, \cdot \, 28152^{2} = 1$ |
| $2086$ | $4669990321339855$ | $102248943296628$ | $4669990321339855^{2} \, - \, $$2086$$ \, \cdot \, 102248943296628^{2} = 1$ |
| $2087$ | $120084010141224$ | $2628596697805$ | $120084010141224^{2} \, - \, $$2087$$ \, \cdot \, 2628596697805^{2} = 1$ |
| $2089$ | $32293761348506119201$ | $706560592424994840$ | $32293761348506119201^{2} \, - \, $$2089$$ \, \cdot \, 706560592424994840^{2} = 1$ |
| $2090$ | $20481$ | $448$ | $20481^{2} \, - \, $$2090$$ \, \cdot \, 448^{2} = 1$ |
| $2091$ | $253010$ | $5533$ | $253010^{2} \, - \, $$2091$$ \, \cdot \, 5533^{2} = 1$ |
| $2093$ | $183$ | $4$ | $183^{2} \, - \, $$2093$$ \, \cdot \, 4^{2} = 1$ |
| $2094$ | $20080832545197365$ | $438827035407914$ | $20080832545197365^{2} \, - \, $$2094$$ \, \cdot \, 438827035407914^{2} = 1$ |
| $2095$ | $56227508629697854439$ | $1228448140439118324$ | $56227508629697854439^{2} \, - \, $$2095$$ \, \cdot \, 1228448140439118324^{2} = 1$ |
| $2098$ | $5456897$ | $119136$ | $5456897^{2} \, - \, $$2098$$ \, \cdot \, 119136^{2} = 1$ |
| $2099$ | $1530170$ | $33399$ | $1530170^{2} \, - \, $$2099$$ \, \cdot \, 33399^{2} = 1$ |
| $2101$ | $13751$ | $300$ | $13751^{2} \, - \, $$2101$$ \, \cdot \, 300^{2} = 1$ |
| $2102$ | $41966540404457957$ | $915349213910082$ | $41966540404457957^{2} \, - \, $$2102$$ \, \cdot \, 915349213910082^{2} = 1$ |
| $2103$ | $34348$ | $749$ | $34348^{2} \, - \, $$2103$$ \, \cdot \, 749^{2} = 1$ |
| $2105$ | $16978089$ | $370052$ | $16978089^{2} \, - \, $$2105$$ \, \cdot \, 370052^{2} = 1$ |
| $2109$ | $838444191076855$ | $18257271349044$ | $838444191076855^{2} \, - \, $$2109$$ \, \cdot \, 18257271349044^{2} = 1$ |
| $2110$ | $71406802077926581$ | $1554527310090786$ | $71406802077926581^{2} \, - \, $$2110$$ \, \cdot \, 1554527310090786^{2} = 1$ |
| $2111$ | $769864187548064400$ | $16755986469105247$ | $769864187548064400^{2} \, - \, $$2111$$ \, \cdot \, 16755986469105247^{2} = 1$ |
| $2113$ | $1945570883737706036137311990847801980996814849$ | $42325033421885323238322401350399374136580160$ | $1945570883737706036137311990847801980996814849^{2} \, - \, $$2113$$ \, \cdot \, 42325033421885323238322401350399374136580160^{2} = 1$ |
| $2114$ | $2115$ | $46$ | $2115^{2} \, - \, $$2114$$ \, \cdot \, 46^{2} = 1$ |
| $2117$ | $4233$ | $92$ | $4233^{2} \, - \, $$2117$$ \, \cdot \, 92^{2} = 1$ |
| $2118$ | $2117$ | $46$ | $2117^{2} \, - \, $$2118$$ \, \cdot \, 46^{2} = 1$ |
| $2119$ | $185977771273124$ | $4040132054325$ | $185977771273124^{2} \, - \, $$2119$$ \, \cdot \, 4040132054325^{2} = 1$ |
| $2121$ | $947004461801$ | $20562773460$ | $947004461801^{2} \, - \, $$2121$$ \, \cdot \, 20562773460^{2} = 1$ |
| $2122$ | $81248699281531826148007812499$ | $1763777212168887748250943750$ | $81248699281531826148007812499^{2} \, - \, $$2122$$ \, \cdot \, 1763777212168887748250943750^{2} = 1$ |
| $2123$ | $62078642$ | $1347309$ | $62078642^{2} \, - \, $$2123$$ \, \cdot \, 1347309^{2} = 1$ |
| $2126$ | $2846915971617054735$ | $61743752276468668$ | $2846915971617054735^{2} \, - \, $$2126$$ \, \cdot \, 61743752276468668^{2} = 1$ |
| $2127$ | $6365401$ | $138020$ | $6365401^{2} \, - \, $$2127$$ \, \cdot \, 138020^{2} = 1$ |
| $2129$ | $962886001563834652798926337561605830200449$ | $20868298597038898618149766995762189842480$ | $962886001563834652798926337561605830200449^{2} \, - \, $$2129$$ \, \cdot \, 20868298597038898618149766995762189842480^{2} = 1$ |
| $2130$ | $23999$ | $520$ | $23999^{2} \, - \, $$2130$$ \, \cdot \, 520^{2} = 1$ |
| $2131$ | $452144894661429530942871827090$ | $9794582001683535518729480823$ | $452144894661429530942871827090^{2} \, - \, $$2131$$ \, \cdot \, 9794582001683535518729480823^{2} = 1$ |
| $2134$ | $9701$ | $210$ | $9701^{2} \, - \, $$2134$$ \, \cdot \, 210^{2} = 1$ |
| $2135$ | $7624$ | $165$ | $7624^{2} \, - \, $$2135$$ \, \cdot \, 165^{2} = 1$ |
| $2137$ | $2657071873810183629927660276844678125066814921353118849$ | $57477919679025668074133797385020454311793670837713520$ | $2657071873810183629927660276844678125066814921353118849^{2} \, - \, $$2137$$ \, \cdot \, 57477919679025668074133797385020454311793670837713520^{2} = 1$ |
| $2138$ | $893038323$ | $19313734$ | $893038323^{2} \, - \, $$2138$$ \, \cdot \, 19313734^{2} = 1$ |
| $2139$ | $185$ | $4$ | $185^{2} \, - \, $$2139$$ \, \cdot \, 4^{2} = 1$ |
| $2141$ | $382148768097565465940572604562541449$ | $8258936562456706424027181945079340$ | $382148768097565465940572604562541449^{2} \, - \, $$2141$$ \, \cdot \, 8258936562456706424027181945079340^{2} = 1$ |
| $2143$ | $20237054048$ | $437155761$ | $20237054048^{2} \, - \, $$2143$$ \, \cdot \, 437155761^{2} = 1$ |
| $2145$ | $28159$ | $608$ | $28159^{2} \, - \, $$2145$$ \, \cdot \, 608^{2} = 1$ |
| $2146$ | $88398458648553126433699$ | $1908226109045577235590$ | $88398458648553126433699^{2} \, - \, $$2146$$ \, \cdot \, 1908226109045577235590^{2} = 1$ |
| $2147$ | $19322$ | $417$ | $19322^{2} \, - \, $$2147$$ \, \cdot \, 417^{2} = 1$ |
| $2149$ | $737004830625573318331838783974317934135$ | $15898352671473750671298540899829872724$ | $737004830625573318331838783974317934135^{2} \, - \, $$2149$$ \, \cdot \, 15898352671473750671298540899829872724^{2} = 1$ |
| $2153$ | $107649$ | $2320$ | $107649^{2} \, - \, $$2153$$ \, \cdot \, 2320^{2} = 1$ |
| $2154$ | $818767969199$ | $17641600980$ | $818767969199^{2} \, - \, $$2154$$ \, \cdot \, 17641600980^{2} = 1$ |
| $2155$ | $225634595102009$ | $4860512347644$ | $225634595102009^{2} \, - \, $$2155$$ \, \cdot \, 4860512347644^{2} = 1$ |
| $2157$ | $82139999$ | $1768600$ | $82139999^{2} \, - \, $$2157$$ \, \cdot \, 1768600^{2} = 1$ |
| $2158$ | $218981472870187$ | $4713913970514$ | $218981472870187^{2} \, - \, $$2158$$ \, \cdot \, 4713913970514^{2} = 1$ |
| $2159$ | $28576$ | $615$ | $28576^{2} \, - \, $$2159$$ \, \cdot \, 615^{2} = 1$ |
| $2161$ | $10596799446628733252272832676133784715292720112612262977708598049$ | $227954059961791143233987331823126742246798584250769902674816680$ | $10596799446628733252272832676133784715292720112612262977708598049^{2} \, - \, $$2161$$ \, \cdot \, 227954059961791143233987331823126742246798584250769902674816680^{2} = 1$ |
| $2162$ | $93$ | $2$ | $93^{2} \, - \, $$2162$$ \, \cdot \, 2^{2} = 1$ |
| $2163$ | $5767$ | $124$ | $5767^{2} \, - \, $$2163$$ \, \cdot \, 124^{2} = 1$ |
| $2165$ | $122470945304304969$ | $2632110512057068$ | $122470945304304969^{2} \, - \, $$2165$$ \, \cdot \, 2632110512057068^{2} = 1$ |
| $2167$ | $44495093096796772$ | $955834416754893$ | $44495093096796772^{2} \, - \, $$2167$$ \, \cdot \, 955834416754893^{2} = 1$ |
| $2170$ | $559$ | $12$ | $559^{2} \, - \, $$2170$$ \, \cdot \, 12^{2} = 1$ |
| $2171$ | $10467498023126$ | $224653389675$ | $10467498023126^{2} \, - \, $$2171$$ \, \cdot \, 224653389675^{2} = 1$ |
| $2173$ | $734473$ | $15756$ | $734473^{2} \, - \, $$2173$$ \, \cdot \, 15756^{2} = 1$ |
| $2174$ | $6720269075233323408756735$ | $144130831594640199270976$ | $6720269075233323408756735^{2} \, - \, $$2174$$ \, \cdot \, 144130831594640199270976^{2} = 1$ |
| $2177$ | $5599$ | $120$ | $5599^{2} \, - \, $$2177$$ \, \cdot \, 120^{2} = 1$ |
| $2179$ | $240603723898420099641751383966815800602410$ | $5154347913276724527274139160292653303441$ | $240603723898420099641751383966815800602410^{2} \, - \, $$2179$$ \, \cdot \, 5154347913276724527274139160292653303441^{2} = 1$ |
| $2181$ | $6513116394236867715918693317815$ | $139463643378251489774926196748$ | $6513116394236867715918693317815^{2} \, - \, $$2181$$ \, \cdot \, 139463643378251489774926196748^{2} = 1$ |
| $2182$ | $21115315970951941617317$ | $452033073379115994678$ | $21115315970951941617317^{2} \, - \, $$2182$$ \, \cdot \, 452033073379115994678^{2} = 1$ |
| $2183$ | $1107372$ | $23701$ | $1107372^{2} \, - \, $$2183$$ \, \cdot \, 23701^{2} = 1$ |
| $2185$ | $2501491975869079$ | $53514736760052$ | $2501491975869079^{2} \, - \, $$2185$$ \, \cdot \, 53514736760052^{2} = 1$ |
| $2186$ | $244092688119258902451$ | $5220711462650613470$ | $244092688119258902451^{2} \, - \, $$2186$$ \, \cdot \, 5220711462650613470^{2} = 1$ |
| $2189$ | $701284897131794999$ | $14988963610793700$ | $701284897131794999^{2} \, - \, $$2189$$ \, \cdot \, 14988963610793700^{2} = 1$ |
| $2190$ | $18251$ | $390$ | $18251^{2} \, - \, $$2190$$ \, \cdot \, 390^{2} = 1$ |
| $2191$ | $2812922316995718320$ | $60094752360539433$ | $2812922316995718320^{2} \, - \, $$2191$$ \, \cdot \, 60094752360539433^{2} = 1$ |
| $2193$ | $29439864343$ | $628660956$ | $29439864343^{2} \, - \, $$2193$$ \, \cdot \, 628660956^{2} = 1$ |
| $2194$ | $360608130778278261905$ | $7698696570811675764$ | $360608130778278261905^{2} \, - \, $$2194$$ \, \cdot \, 7698696570811675764^{2} = 1$ |
| $2195$ | $28764159$ | $613952$ | $28764159^{2} \, - \, $$2195$$ \, \cdot \, 613952^{2} = 1$ |
| $2198$ | $42292347$ | $902086$ | $42292347^{2} \, - \, $$2198$$ \, \cdot \, 902086^{2} = 1$ |
| $2199$ | $678352095385$ | $14465803324$ | $678352095385^{2} \, - \, $$2199$$ \, \cdot \, 14465803324^{2} = 1$ |
| $2201$ | $23072561163011325951$ | $491796897487589120$ | $23072561163011325951^{2} \, - \, $$2201$$ \, \cdot \, 491796897487589120^{2} = 1$ |
| $2202$ | $593219533$ | $12641738$ | $593219533^{2} \, - \, $$2202$$ \, \cdot \, 12641738^{2} = 1$ |
| $2203$ | $8826151854096025892882$ | $188046020279289948171$ | $8826151854096025892882^{2} \, - \, $$2203$$ \, \cdot \, 188046020279289948171^{2} = 1$ |
| $2206$ | $879046987036219577199102482497977431003135$ | $18715840511342009929147489921762333395648$ | $879046987036219577199102482497977431003135^{2} \, - \, $$2206$$ \, \cdot \, 18715840511342009929147489921762333395648^{2} = 1$ |
| $2207$ | $2208$ | $47$ | $2208^{2} \, - \, $$2207$$ \, \cdot \, 47^{2} = 1$ |
| $2210$ | $4419$ | $94$ | $4419^{2} \, - \, $$2210$$ \, \cdot \, 94^{2} = 1$ |
| $2211$ | $2210$ | $47$ | $2210^{2} \, - \, $$2211$$ \, \cdot \, 47^{2} = 1$ |
| $2213$ | $5404256649$ | $114880220$ | $5404256649^{2} \, - \, $$2213$$ \, \cdot \, 114880220^{2} = 1$ |
| $2215$ | $30409059868444$ | $646124379867$ | $30409059868444^{2} \, - \, $$2215$$ \, \cdot \, 646124379867^{2} = 1$ |
| $2217$ | $33101760540247$ | $703020915868$ | $33101760540247^{2} \, - \, $$2217$$ \, \cdot \, 703020915868^{2} = 1$ |
| $2218$ | $188104237664228083$ | $3994089649883646$ | $188104237664228083^{2} \, - \, $$2218$$ \, \cdot \, 3994089649883646^{2} = 1$ |
| $2219$ | $2405842335$ | $51072664$ | $2405842335^{2} \, - \, $$2219$$ \, \cdot \, 51072664^{2} = 1$ |
| $2221$ | $63063885597291636324495049$ | $1338155077873850588494620$ | $63063885597291636324495049^{2} \, - \, $$2221$$ \, \cdot \, 1338155077873850588494620^{2} = 1$ |
| $2222$ | $9899$ | $210$ | $9899^{2} \, - \, $$2222$$ \, \cdot \, 210^{2} = 1$ |
| $2226$ | $48799645$ | $1034318$ | $48799645^{2} \, - \, $$2226$$ \, \cdot \, 1034318^{2} = 1$ |
| $2227$ | $255171482138190122$ | $5407194947981673$ | $255171482138190122^{2} \, - \, $$2227$$ \, \cdot \, 5407194947981673^{2} = 1$ |
| $2229$ | $6746130544160303087615$ | $142889299355407689216$ | $6746130544160303087615^{2} \, - \, $$2229$$ \, \cdot \, 142889299355407689216^{2} = 1$ |
| $2230$ | $72251$ | $1530$ | $72251^{2} \, - \, $$2230$$ \, \cdot \, 1530^{2} = 1$ |
| $2231$ | $147355320$ | $3119723$ | $147355320^{2} \, - \, $$2231$$ \, \cdot \, 3119723^{2} = 1$ |
| $2233$ | $10207$ | $216$ | $10207^{2} \, - \, $$2233$$ \, \cdot \, 216^{2} = 1$ |
| $2234$ | $5962484828624480578892499$ | $126149549118783899016350$ | $5962484828624480578892499^{2} \, - \, $$2234$$ \, \cdot \, 126149549118783899016350^{2} = 1$ |
| $2235$ | $626546$ | $13253$ | $626546^{2} \, - \, $$2235$$ \, \cdot \, 13253^{2} = 1$ |
| $2237$ | $1976004569358981995803614798641072649$ | $41778702912417782604576378017491660$ | $1976004569358981995803614798641072649^{2} \, - \, $$2237$$ \, \cdot \, 41778702912417782604576378017491660^{2} = 1$ |
| $2238$ | $252149$ | $5330$ | $252149^{2} \, - \, $$2238$$ \, \cdot \, 5330^{2} = 1$ |
| $2239$ | $125056611057426103817571970427014880$ | $2642893170294320623381279806789729$ | $125056611057426103817571970427014880^{2} \, - \, $$2239$$ \, \cdot \, 2642893170294320623381279806789729^{2} = 1$ |
| $2242$ | $8130355506858257$ | $171708475260588$ | $8130355506858257^{2} \, - \, $$2242$$ \, \cdot \, 171708475260588^{2} = 1$ |
| $2243$ | $4216034762$ | $89020401$ | $4216034762^{2} \, - \, $$2243$$ \, \cdot \, 89020401^{2} = 1$ |
| $2245$ | $3881607656256161$ | $81922550194296$ | $3881607656256161^{2} \, - \, $$2245$$ \, \cdot \, 81922550194296^{2} = 1$ |
| $2246$ | $105964274723956380485$ | $2235911419162860462$ | $105964274723956380485^{2} \, - \, $$2246$$ \, \cdot \, 2235911419162860462^{2} = 1$ |
| $2247$ | $18724$ | $395$ | $18724^{2} \, - \, $$2247$$ \, \cdot \, 395^{2} = 1$ |
| $2249$ | $77728359201$ | $1639021960$ | $77728359201^{2} \, - \, $$2249$$ \, \cdot \, 1639021960^{2} = 1$ |
| $2251$ | $182330$ | $3843$ | $182330^{2} \, - \, $$2251$$ \, \cdot \, 3843^{2} = 1$ |
| $2253$ | $32049873888048012151$ | $675220670884419660$ | $32049873888048012151^{2} \, - \, $$2253$$ \, \cdot \, 675220670884419660^{2} = 1$ |
| $2255$ | $3609$ | $76$ | $3609^{2} \, - \, $$2255$$ \, \cdot \, 76^{2} = 1$ |
| $2257$ | $4940078897198882821249$ | $103984379707270328400$ | $4940078897198882821249^{2} \, - \, $$2257$$ \, \cdot \, 103984379707270328400^{2} = 1$ |
| $2258$ | $2426397123$ | $51062246$ | $2426397123^{2} \, - \, $$2258$$ \, \cdot \, 51062246^{2} = 1$ |
| $2261$ | $951$ | $20$ | $951^{2} \, - \, $$2261$$ \, \cdot \, 20^{2} = 1$ |
| $2262$ | $97499$ | $2050$ | $97499^{2} \, - \, $$2262$$ \, \cdot \, 2050^{2} = 1$ |
| $2263$ | $110888$ | $2331$ | $110888^{2} \, - \, $$2263$$ \, \cdot \, 2331^{2} = 1$ |
| $2265$ | $486976309471$ | $10232310984$ | $486976309471^{2} \, - \, $$2265$$ \, \cdot \, 10232310984^{2} = 1$ |
| $2266$ | $2764743626523751885$ | $58079773336224042$ | $2764743626523751885^{2} \, - \, $$2266$$ \, \cdot \, 58079773336224042^{2} = 1$ |
| $2267$ | $11121951531682$ | $233590533237$ | $11121951531682^{2} \, - \, $$2267$$ \, \cdot \, 233590533237^{2} = 1$ |
| $2269$ | $30021853822377566529035247049$ | $630260744425631939359631940$ | $30021853822377566529035247049^{2} \, - \, $$2269$$ \, \cdot \, 630260744425631939359631940^{2} = 1$ |
| $2270$ | $24618466891$ | $516711438$ | $24618466891^{2} \, - \, $$2270$$ \, \cdot \, 516711438^{2} = 1$ |
| $2271$ | $2737623170905$ | $57446701988$ | $2737623170905^{2} \, - \, $$2271$$ \, \cdot \, 57446701988^{2} = 1$ |
| $2273$ | $765910128188622849$ | $16064902521711040$ | $765910128188622849^{2} \, - \, $$2273$$ \, \cdot \, 16064902521711040^{2} = 1$ |
| $2274$ | $22036808705$ | $462118624$ | $22036808705^{2} \, - \, $$2274$$ \, \cdot \, 462118624^{2} = 1$ |
| $2278$ | $14945957$ | $313146$ | $14945957^{2} \, - \, $$2278$$ \, \cdot \, 313146^{2} = 1$ |
| $2279$ | $181556905575$ | $3803125084$ | $181556905575^{2} \, - \, $$2279$$ \, \cdot \, 3803125084^{2} = 1$ |
| $2281$ | $2981649830743654269669907724743299862819650512057127554474550049$ | $62430094928777423119382521794712492545154361356761603591711480$ | $2981649830743654269669907724743299862819650512057127554474550049^{2} \, - \, $$2281$$ \, \cdot \, 62430094928777423119382521794712492545154361356761603591711480^{2} = 1$ |
| $2282$ | $3570351$ | $74740$ | $3570351^{2} \, - \, $$2282$$ \, \cdot \, 74740^{2} = 1$ |
| $2283$ | $79834226$ | $1670845$ | $79834226^{2} \, - \, $$2283$$ \, \cdot \, 1670845^{2} = 1$ |
| $2285$ | $93197234874249$ | $1949664683980$ | $93197234874249^{2} \, - \, $$2285$$ \, \cdot \, 1949664683980^{2} = 1$ |
| $2287$ | $3408802706371217226890624$ | $71280179337004908750375$ | $3408802706371217226890624^{2} \, - \, $$2287$$ \, \cdot \, 71280179337004908750375^{2} = 1$ |
| $2289$ | $2883049$ | $60260$ | $2883049^{2} \, - \, $$2289$$ \, \cdot \, 60260^{2} = 1$ |
| $2290$ | $3609620264130499$ | $75429942195210$ | $3609620264130499^{2} \, - \, $$2290$$ \, \cdot \, 75429942195210^{2} = 1$ |
| $2291$ | $82926027861510$ | $1732520247017$ | $82926027861510^{2} \, - \, $$2291$$ \, \cdot \, 1732520247017^{2} = 1$ |
| $2293$ | $3996915809449797781026127104343692038269891422048887887519392649$ | $83468569984407449450628148057917020621955697123575980095681020$ | $3996915809449797781026127104343692038269891422048887887519392649^{2} \, - \, $$2293$$ \, \cdot \, 83468569984407449450628148057917020621955697123575980095681020^{2} = 1$ |
| $2294$ | $3294555$ | $68786$ | $3294555^{2} \, - \, $$2294$$ \, \cdot \, 68786^{2} = 1$ |
| $2297$ | $387430169379776126085928364346126849$ | $8083751207539140825274724655487520$ | $387430169379776126085928364346126849^{2} \, - \, $$2297$$ \, \cdot \, 8083751207539140825274724655487520^{2} = 1$ |
| $2298$ | $767$ | $16$ | $767^{2} \, - \, $$2298$$ \, \cdot \, 16^{2} = 1$ |
| $2301$ | $1535$ | $32$ | $1535^{2} \, - \, $$2301$$ \, \cdot \, 32^{2} = 1$ |
| $2302$ | $2303$ | $48$ | $2303^{2} \, - \, $$2302$$ \, \cdot \, 48^{2} = 1$ |
| $2305$ | $4609$ | $96$ | $4609^{2} \, - \, $$2305$$ \, \cdot \, 96^{2} = 1$ |
| $2306$ | $2305$ | $48$ | $2305^{2} \, - \, $$2306$$ \, \cdot \, 48^{2} = 1$ |
| $2307$ | $1537$ | $32$ | $1537^{2} \, - \, $$2307$$ \, \cdot \, 32^{2} = 1$ |
| $2309$ | $14554556667841571687399049$ | $302891450437481103365540$ | $14554556667841571687399049^{2} \, - \, $$2309$$ \, \cdot \, 302891450437481103365540^{2} = 1$ |
| $2310$ | $769$ | $16$ | $769^{2} \, - \, $$2310$$ \, \cdot \, 16^{2} = 1$ |
| $2311$ | $400892050972310899724010277137604913515533179720$ | $8339259190601108963913338322963746423187510147$ | $400892050972310899724010277137604913515533179720^{2} \, - \, $$2311$$ \, \cdot \, 8339259190601108963913338322963746423187510147^{2} = 1$ |
| $2314$ | $283149908724275862475699$ | $5886196398574838457570$ | $283149908724275862475699^{2} \, - \, $$2314$$ \, \cdot \, 5886196398574838457570^{2} = 1$ |
| $2315$ | $131533206$ | $2733757$ | $131533206^{2} \, - \, $$2315$$ \, \cdot \, 2733757^{2} = 1$ |
| $2317$ | $837558013263245527053151$ | $17400105486629221264920$ | $837558013263245527053151^{2} \, - \, $$2317$$ \, \cdot \, 17400105486629221264920^{2} = 1$ |
| $2318$ | $2588597$ | $53766$ | $2588597^{2} \, - \, $$2318$$ \, \cdot \, 53766^{2} = 1$ |
| $2319$ | $11248310441088076$ | $233580680620735$ | $11248310441088076^{2} \, - \, $$2319$$ \, \cdot \, 233580680620735^{2} = 1$ |
| $2321$ | $418350700413556946199$ | $8683662388409533340$ | $418350700413556946199^{2} \, - \, $$2321$$ \, \cdot \, 8683662388409533340^{2} = 1$ |
| $2323$ | $32130633887$ | $666645096$ | $32130633887^{2} \, - \, $$2323$$ \, \cdot \, 666645096^{2} = 1$ |
| $2326$ | $1011704154316301042971871388557808298433676201125$ | $20977255994808703605657308111046802217613857982$ | $1011704154316301042971871388557808298433676201125^{2} \, - \, $$2326$$ \, \cdot \, 20977255994808703605657308111046802217613857982^{2} = 1$ |
| $2327$ | $9050599$ | $187620$ | $9050599^{2} \, - \, $$2327$$ \, \cdot \, 187620^{2} = 1$ |
| $2329$ | $1070304336185345$ | $22178008247616$ | $1070304336185345^{2} \, - \, $$2329$$ \, \cdot \, 22178008247616^{2} = 1$ |
| $2330$ | $87463539$ | $1811962$ | $87463539^{2} \, - \, $$2330$$ \, \cdot \, 1811962^{2} = 1$ |
| $2333$ | $952186285721586679031291493824649$ | $19713537015717627287428087472020$ | $952186285721586679031291493824649^{2} \, - \, $$2333$$ \, \cdot \, 19713537015717627287428087472020^{2} = 1$ |
| $2334$ | $1074126251$ | $22233350$ | $1074126251^{2} \, - \, $$2334$$ \, \cdot \, 22233350^{2} = 1$ |
| $2335$ | $4204$ | $87$ | $4204^{2} \, - \, $$2335$$ \, \cdot \, 87^{2} = 1$ |
| $2337$ | $672604673$ | $13913312$ | $672604673^{2} \, - \, $$2337$$ \, \cdot \, 13913312^{2} = 1$ |
| $2338$ | $675683$ | $13974$ | $675683^{2} \, - \, $$2338$$ \, \cdot \, 13974^{2} = 1$ |
| $2339$ | $6959111461257844826290$ | $143892673428943412721$ | $6959111461257844826290^{2} \, - \, $$2339$$ \, \cdot \, 143892673428943412721^{2} = 1$ |
| $2341$ | $149596963188697267858901449$ | $3091876017376235762088660$ | $149596963188697267858901449^{2} \, - \, $$2341$$ \, \cdot \, 3091876017376235762088660^{2} = 1$ |
| $2342$ | $251103639062501$ | $5188711946250$ | $251103639062501^{2} \, - \, $$2342$$ \, \cdot \, 5188711946250^{2} = 1$ |
| $2343$ | $10649$ | $220$ | $10649^{2} \, - \, $$2343$$ \, \cdot \, 220^{2} = 1$ |
| $2345$ | $15129001$ | $312420$ | $15129001^{2} \, - \, $$2345$$ \, \cdot \, 312420^{2} = 1$ |
| $2346$ | $46622195$ | $962562$ | $46622195^{2} \, - \, $$2346$$ \, \cdot \, 962562^{2} = 1$ |
| $2347$ | $323870477352338993274741120507602$ | $6685206343255953671339194057443$ | $323870477352338993274741120507602^{2} \, - \, $$2347$$ \, \cdot \, 6685206343255953671339194057443^{2} = 1$ |
| $2351$ | $5381836320$ | $110995193$ | $5381836320^{2} \, - \, $$2351$$ \, \cdot \, 110995193^{2} = 1$ |
| $2353$ | $28426024561897$ | $586010183844$ | $28426024561897^{2} \, - \, $$2353$$ \, \cdot \, 586010183844^{2} = 1$ |
| $2354$ | $26851797424385$ | $553439475216$ | $26851797424385^{2} \, - \, $$2354$$ \, \cdot \, 553439475216^{2} = 1$ |
| $2355$ | $45374$ | $935$ | $45374^{2} \, - \, $$2355$$ \, \cdot \, 935^{2} = 1$ |
| $2357$ | $1279572873$ | $26356348$ | $1279572873^{2} \, - \, $$2357$$ \, \cdot \, 26356348^{2} = 1$ |
| $2359$ | $8127739376$ | $167342325$ | $8127739376^{2} \, - \, $$2359$$ \, \cdot \, 167342325^{2} = 1$ |
| $2361$ | $272492068098280169294544535$ | $5607972450814722925722772$ | $272492068098280169294544535^{2} \, - \, $$2361$$ \, \cdot \, 5607972450814722925722772^{2} = 1$ |
| $2362$ | $118099$ | $2430$ | $118099^{2} \, - \, $$2362$$ \, \cdot \, 2430^{2} = 1$ |
| $2363$ | $1070271226$ | $22017195$ | $1070271226^{2} \, - \, $$2363$$ \, \cdot \, 22017195^{2} = 1$ |
| $2365$ | $155231$ | $3192$ | $155231^{2} \, - \, $$2365$$ \, \cdot \, 3192^{2} = 1$ |
| $2369$ | $4796828434236403935$ | $98553409885410536$ | $4796828434236403935^{2} \, - \, $$2369$$ \, \cdot \, 98553409885410536^{2} = 1$ |
| $2370$ | $4406461$ | $90514$ | $4406461^{2} \, - \, $$2370$$ \, \cdot \, 90514^{2} = 1$ |
| $2371$ | $191040489782439912520686852440210$ | $3923373423465515100422422137087$ | $191040489782439912520686852440210^{2} \, - \, $$2371$$ \, \cdot \, 3923373423465515100422422137087^{2} = 1$ |
| $2373$ | $19825399$ | $406980$ | $19825399^{2} \, - \, $$2373$$ \, \cdot \, 406980^{2} = 1$ |
| $2374$ | $47541174557527728086227215574494403891385765$ | $975729756992818394465954368763068733505174$ | $47541174557527728086227215574494403891385765^{2} \, - \, $$2374$$ \, \cdot \, 975729756992818394465954368763068733505174^{2} = 1$ |
| $2377$ | $1451575565312415549196945328336473408820113982859200717953$ | $29773168695558654784315702895565504921917594965036600848$ | $1451575565312415549196945328336473408820113982859200717953^{2} \, - \, $$2377$$ \, \cdot \, 29773168695558654784315702895565504921917594965036600848^{2} = 1$ |
| $2378$ | $1374483$ | $28186$ | $1374483^{2} \, - \, $$2378$$ \, \cdot \, 28186^{2} = 1$ |
| $2379$ | $1951$ | $40$ | $1951^{2} \, - \, $$2379$$ \, \cdot \, 40^{2} = 1$ |
| $2381$ | $11395736301042986619081135380398394825126509997077449$ | $233540762241346572206168462525797675029565237626140$ | $11395736301042986619081135380398394825126509997077449^{2} \, - \, $$2381$$ \, \cdot \, 233540762241346572206168462525797675029565237626140^{2} = 1$ |
| $2382$ | $1135209064373$ | $23259746202$ | $1135209064373^{2} \, - \, $$2382$$ \, \cdot \, 23259746202^{2} = 1$ |
| $2383$ | $19515644377863617024$ | $399779825830543095$ | $19515644377863617024^{2} \, - \, $$2383$$ \, \cdot \, 399779825830543095^{2} = 1$ |
| $2386$ | $341500494791825$ | $6991270689972$ | $341500494791825^{2} \, - \, $$2386$$ \, \cdot \, 6991270689972^{2} = 1$ |
| $2387$ | $342$ | $7$ | $342^{2} \, - \, $$2387$$ \, \cdot \, 7^{2} = 1$ |
| $2389$ | $306337641617643341027085710770455942914371640417170871093925283234950306862032993601801$ | $6267470373068851592534232163240483565084111376077086357718810651845698044589579398820$ | $306337641617643341027085710770455942914371640417170871093925283234950306862032993601801^{2} \, - \, $$2389$$ \, \cdot \, 6267470373068851592534232163240483565084111376077086357718810651845698044589579398820^{2} = 1$ |
| $2390$ | $38719$ | $792$ | $38719^{2} \, - \, $$2390$$ \, \cdot \, 792^{2} = 1$ |
| $2391$ | $148084286735433124$ | $3028441506476925$ | $148084286735433124^{2} \, - \, $$2391$$ \, \cdot \, 3028441506476925^{2} = 1$ |
| $2393$ | $295257206251603065899553$ | $6035721005670799402216$ | $295257206251603065899553^{2} \, - \, $$2393$$ \, \cdot \, 6035721005670799402216^{2} = 1$ |
| $2395$ | $103771570282402499999$ | $2120438249781879000$ | $103771570282402499999^{2} \, - \, $$2395$$ \, \cdot \, 2120438249781879000^{2} = 1$ |
| $2397$ | $58751$ | $1200$ | $58751^{2} \, - \, $$2397$$ \, \cdot \, 1200^{2} = 1$ |
| $2398$ | $47758341060857899$ | $975269501660730$ | $47758341060857899^{2} \, - \, $$2398$$ \, \cdot \, 975269501660730^{2} = 1$ |
| $2399$ | $2400$ | $49$ | $2400^{2} \, - \, $$2399$$ \, \cdot \, 49^{2} = 1$ |
| $2402$ | $4803$ | $98$ | $4803^{2} \, - \, $$2402$$ \, \cdot \, 98^{2} = 1$ |
| $2405$ | $6937948809$ | $141472996$ | $6937948809^{2} \, - \, $$2405$$ \, \cdot \, 141472996^{2} = 1$ |
| $2406$ | $1238586474725$ | $25250996502$ | $1238586474725^{2} \, - \, $$2406$$ \, \cdot \, 25250996502^{2} = 1$ |
| $2407$ | $8008988057$ | $163244892$ | $8008988057^{2} \, - \, $$2407$$ \, \cdot \, 163244892^{2} = 1$ |
| $2409$ | $54540119886935$ | $1111213958756$ | $54540119886935^{2} \, - \, $$2409$$ \, \cdot \, 1111213958756^{2} = 1$ |
| $2410$ | $58321$ | $1188$ | $58321^{2} \, - \, $$2410$$ \, \cdot \, 1188^{2} = 1$ |
| $2411$ | $28919582002250$ | $588970315053$ | $28919582002250^{2} \, - \, $$2411$$ \, \cdot \, 588970315053^{2} = 1$ |
| $2413$ | $5955988434047976099520351$ | $121248167838150333490920$ | $5955988434047976099520351^{2} \, - \, $$2413$$ \, \cdot \, 121248167838150333490920^{2} = 1$ |
| $2414$ | $100086180495$ | $2037067796$ | $100086180495^{2} \, - \, $$2414$$ \, \cdot \, 2037067796^{2} = 1$ |
| $2415$ | $344$ | $7$ | $344^{2} \, - \, $$2415$$ \, \cdot \, 7^{2} = 1$ |
| $2417$ | $15099342054911294840646401195553$ | $307128202758641061628344663368$ | $15099342054911294840646401195553^{2} \, - \, $$2417$$ \, \cdot \, 307128202758641061628344663368^{2} = 1$ |
| $2418$ | $65597$ | $1334$ | $65597^{2} \, - \, $$2418$$ \, \cdot \, 1334^{2} = 1$ |
| $2419$ | $2951$ | $60$ | $2951^{2} \, - \, $$2419$$ \, \cdot \, 60^{2} = 1$ |
| $2422$ | $182777975301851$ | $3713956329390$ | $182777975301851^{2} \, - \, $$2422$$ \, \cdot \, 3713956329390^{2} = 1$ |
| $2423$ | $1317502788468009048$ | $26765467659400331$ | $1317502788468009048^{2} \, - \, $$2423$$ \, \cdot \, 26765467659400331^{2} = 1$ |
| $2426$ | $148314191694360051$ | $3011184116724010$ | $148314191694360051^{2} \, - \, $$2426$$ \, \cdot \, 3011184116724010^{2} = 1$ |
| $2427$ | $160300922$ | $3253877$ | $160300922^{2} \, - \, $$2427$$ \, \cdot \, 3253877^{2} = 1$ |
| $2429$ | $20531295$ | $416584$ | $20531295^{2} \, - \, $$2429$$ \, \cdot \, 416584^{2} = 1$ |
| $2431$ | $189161350676$ | $3836541735$ | $189161350676^{2} \, - \, $$2431$$ \, \cdot \, 3836541735^{2} = 1$ |
| $2433$ | $63670563626691168727$ | $1290825808144164404$ | $63670563626691168727^{2} \, - \, $$2433$$ \, \cdot \, 1290825808144164404^{2} = 1$ |
| $2434$ | $21905$ | $444$ | $21905^{2} \, - \, $$2434$$ \, \cdot \, 444^{2} = 1$ |
| $2435$ | $186599406$ | $3781471$ | $186599406^{2} \, - \, $$2435$$ \, \cdot \, 3781471^{2} = 1$ |
| $2437$ | $32472696755920330690080711263965017645143994091448496649$ | $657795036819592171651043118041465257939716709324785540$ | $32472696755920330690080711263965017645143994091448496649^{2} \, - \, $$2437$$ \, \cdot \, 657795036819592171651043118041465257939716709324785540^{2} = 1$ |
| $2438$ | $1259387$ | $25506$ | $1259387^{2} \, - \, $$2438$$ \, \cdot \, 25506^{2} = 1$ |
| $2441$ | $510786067005253200696624792919527201$ | $10338443354694960248057023374262280$ | $510786067005253200696624792919527201^{2} \, - \, $$2441$$ \, \cdot \, 10338443354694960248057023374262280^{2} = 1$ |
| $2442$ | $593$ | $12$ | $593^{2} \, - \, $$2442$$ \, \cdot \, 12^{2} = 1$ |
| $2443$ | $8874529095917582$ | $179549245356531$ | $8874529095917582^{2} \, - \, $$2443$$ \, \cdot \, 179549245356531^{2} = 1$ |
| $2445$ | $31066036531361$ | $628270136424$ | $31066036531361^{2} \, - \, $$2445$$ \, \cdot \, 628270136424^{2} = 1$ |
| $2446$ | $110455597406417912886468927634728366095$ | $2233363954603885561757402472995929212$ | $110455597406417912886468927634728366095^{2} \, - \, $$2446$$ \, \cdot \, 2233363954603885561757402472995929212^{2} = 1$ |
| $2447$ | $2485305658337359728$ | $50241526235425367$ | $2485305658337359728^{2} \, - \, $$2447$$ \, \cdot \, 50241526235425367^{2} = 1$ |
| $2449$ | $17658084059996578885631665215199$ | $356819998742524885088313459480$ | $17658084059996578885631665215199^{2} \, - \, $$2449$$ \, \cdot \, 356819998742524885088313459480^{2} = 1$ |
| $2451$ | $6535$ | $132$ | $6535^{2} \, - \, $$2451$$ \, \cdot \, 132^{2} = 1$ |
| $2453$ | $1783$ | $36$ | $1783^{2} \, - \, $$2453$$ \, \cdot \, 36^{2} = 1$ |
| $2454$ | $216954049$ | $4379560$ | $216954049^{2} \, - \, $$2454$$ \, \cdot \, 4379560^{2} = 1$ |
| $2455$ | $172714792409$ | $3485810604$ | $172714792409^{2} \, - \, $$2455$$ \, \cdot \, 3485810604^{2} = 1$ |
| $2458$ | $6378289825268544160528375752313946899$ | $128651042603104621545258765571780830$ | $6378289825268544160528375752313946899^{2} \, - \, $$2458$$ \, \cdot \, 128651042603104621545258765571780830^{2} = 1$ |
| $2459$ | $710650$ | $14331$ | $710650^{2} \, - \, $$2459$$ \, \cdot \, 14331^{2} = 1$ |
| $2461$ | $264369004501815612568989869316815353659994295$ | $5329110540731505354807156843228037721873628$ | $264369004501815612568989869316815353659994295^{2} \, - \, $$2461$$ \, \cdot \, 5329110540731505354807156843228037721873628^{2} = 1$ |
| $2462$ | $831452185599$ | $16756883680$ | $831452185599^{2} \, - \, $$2462$$ \, \cdot \, 16756883680^{2} = 1$ |
| $2463$ | $1005724$ | $20265$ | $1005724^{2} \, - \, $$2463$$ \, \cdot \, 20265^{2} = 1$ |
| $2465$ | $2340374529$ | $47138624$ | $2340374529^{2} \, - \, $$2465$$ \, \cdot \, 47138624^{2} = 1$ |
| $2467$ | $22202$ | $447$ | $22202^{2} \, - \, $$2467$$ \, \cdot \, 447^{2} = 1$ |
| $2469$ | $555055794150367172751943560055$ | $11170589578665568769925617436$ | $555055794150367172751943560055^{2} \, - \, $$2469$$ \, \cdot \, 11170589578665568769925617436^{2} = 1$ |
| $2470$ | $2426111$ | $48816$ | $2426111^{2} \, - \, $$2470$$ \, \cdot \, 48816^{2} = 1$ |
| $2471$ | $1840324200$ | $37021837$ | $1840324200^{2} \, - \, $$2471$$ \, \cdot \, 37021837^{2} = 1$ |
| $2473$ | $1077653091075215311210462410031602054173398008770985049341807649$ | $21670399651809219935798042140828082155281425528674136093968920$ | $1077653091075215311210462410031602054173398008770985049341807649^{2} \, - \, $$2473$$ \, \cdot \, 21670399651809219935798042140828082155281425528674136093968920^{2} = 1$ |
| $2474$ | $2728833266730348338451$ | $54862696984913690410$ | $2728833266730348338451^{2} \, - \, $$2474$$ \, \cdot \, 54862696984913690410^{2} = 1$ |
| $2477$ | $36677684731688649$ | $736951504575260$ | $36677684731688649^{2} \, - \, $$2477$$ \, \cdot \, 736951504575260^{2} = 1$ |
| $2478$ | $28673$ | $576$ | $28673^{2} \, - \, $$2478$$ \, \cdot \, 576^{2} = 1$ |
| $2479$ | $5182487094109449252757735$ | $104087832710449946047284$ | $5182487094109449252757735^{2} \, - \, $$2479$$ \, \cdot \, 104087832710449946047284^{2} = 1$ |
| $2481$ | $41029787211213179861015$ | $823731895479202148452$ | $41029787211213179861015^{2} \, - \, $$2481$$ \, \cdot \, 823731895479202148452^{2} = 1$ |
| $2482$ | $18471043$ | $370758$ | $18471043^{2} \, - \, $$2482$$ \, \cdot \, 370758^{2} = 1$ |
| $2483$ | $13753$ | $276$ | $13753^{2} \, - \, $$2483$$ \, \cdot \, 276^{2} = 1$ |
| $2485$ | $231097361791031$ | $4635875787444$ | $231097361791031^{2} \, - \, $$2485$$ \, \cdot \, 4635875787444^{2} = 1$ |
| $2486$ | $5174949$ | $103790$ | $5174949^{2} \, - \, $$2486$$ \, \cdot \, 103790^{2} = 1$ |
| $2487$ | $18982087189657$ | $380632678652$ | $18982087189657^{2} \, - \, $$2487$$ \, \cdot \, 380632678652^{2} = 1$ |
| $2489$ | $10463370680512283795799$ | $209729326793842041340$ | $10463370680512283795799^{2} \, - \, $$2489$$ \, \cdot \, 209729326793842041340^{2} = 1$ |
| $2490$ | $499$ | $10$ | $499^{2} \, - \, $$2490$$ \, \cdot \, 10^{2} = 1$ |
| $2491$ | $715795212645713465$ | $14341742665249692$ | $715795212645713465^{2} \, - \, $$2491$$ \, \cdot \, 14341742665249692^{2} = 1$ |
| $2494$ | $103140178995886814699$ | $2065283408799435930$ | $103140178995886814699^{2} \, - \, $$2494$$ \, \cdot \, 2065283408799435930^{2} = 1$ |
| $2495$ | $999$ | $20$ | $999^{2} \, - \, $$2495$$ \, \cdot \, 20^{2} = 1$ |
| $2497$ | $19409802197604122787127127$ | $388429171414163648209068$ | $19409802197604122787127127^{2} \, - \, $$2497$$ \, \cdot \, 388429171414163648209068^{2} = 1$ |
| $2498$ | $2499$ | $50$ | $2499^{2} \, - \, $$2498$$ \, \cdot \, 50^{2} = 1$ |
| $2501$ | $5001$ | $100$ | $5001^{2} \, - \, $$2501$$ \, \cdot \, 100^{2} = 1$ |
| $2503$ | $3279885894672961057409975624$ | $65558394650105194201786275$ | $3279885894672961057409975624^{2} \, - \, $$2503$$ \, \cdot \, 65558394650105194201786275^{2} = 1$ |
| $2505$ | $1001$ | $20$ | $1001^{2} \, - \, $$2505$$ \, \cdot \, 20^{2} = 1$ |
| $2506$ | $10240765556688399071935$ | $204569974278531444552$ | $10240765556688399071935^{2} \, - \, $$2506$$ \, \cdot \, 204569974278531444552^{2} = 1$ |
| $2507$ | $6436342$ | $128547$ | $6436342^{2} \, - \, $$2507$$ \, \cdot \, 128547^{2} = 1$ |
| $2509$ | $740669850038599793795048200429418021449$ | $14786804663978839612904675626912810620$ | $740669850038599793795048200429418021449^{2} \, - \, $$2509$$ \, \cdot \, 14786804663978839612904675626912810620^{2} = 1$ |
| $2510$ | $501$ | $10$ | $501^{2} \, - \, $$2510$$ \, \cdot \, 10^{2} = 1$ |
| $2513$ | $9325431659989887$ | $186025593792944$ | $9325431659989887^{2} \, - \, $$2513$$ \, \cdot \, 186025593792944^{2} = 1$ |
| $2514$ | $200665583259905$ | $4002121369904$ | $200665583259905^{2} \, - \, $$2514$$ \, \cdot \, 4002121369904^{2} = 1$ |
| $2515$ | $7372738379676726046$ | $147014384028893271$ | $7372738379676726046^{2} \, - \, $$2515$$ \, \cdot \, 147014384028893271^{2} = 1$ |
| $2517$ | $932070047201139239618399$ | $18578341601833772538360$ | $932070047201139239618399^{2} \, - \, $$2517$$ \, \cdot \, 18578341601833772538360^{2} = 1$ |
| $2518$ | $640845364594942651248197$ | $12771014100719348472534$ | $640845364594942651248197^{2} \, - \, $$2518$$ \, \cdot \, 12771014100719348472534^{2} = 1$ |
| $2519$ | $158961220199$ | $3167211780$ | $158961220199^{2} \, - \, $$2519$$ \, \cdot \, 3167211780^{2} = 1$ |
| $2521$ | $157068221854053769919189294173186467900785347825382086892929936363934648449$ | $3128253249349285193244598566786224647518981898187177141738774303490223440$ | $157068221854053769919189294173186467900785347825382086892929936363934648449^{2} \, - \, $$2521$$ \, \cdot \, 3128253249349285193244598566786224647518981898187177141738774303490223440^{2} = 1$ |
| $2522$ | $8478963$ | $168838$ | $8478963^{2} \, - \, $$2522$$ \, \cdot \, 168838^{2} = 1$ |
| $2526$ | $7937097845$ | $157922882$ | $7937097845^{2} \, - \, $$2526$$ \, \cdot \, 157922882^{2} = 1$ |
| $2530$ | $1259389$ | $25038$ | $1259389^{2} \, - \, $$2530$$ \, \cdot \, 25038^{2} = 1$ |
| $2531$ | $353380102604290544775622660810$ | $7024186271463934303726126527$ | $353380102604290544775622660810^{2} \, - \, $$2531$$ \, \cdot \, 7024186271463934303726126527^{2} = 1$ |
| $2533$ | $1721249$ | $34200$ | $1721249^{2} \, - \, $$2533$$ \, \cdot \, 34200^{2} = 1$ |
| $2534$ | $10645372091451$ | $211474273090$ | $10645372091451^{2} \, - \, $$2534$$ \, \cdot \, 211474273090^{2} = 1$ |
| $2537$ | $8274617367$ | $164281132$ | $8274617367^{2} \, - \, $$2537$$ \, \cdot \, 164281132^{2} = 1$ |
| $2539$ | $13679657651580757481054438974219434008210$ | $271483774332931982425065477999227053821$ | $13679657651580757481054438974219434008210^{2} \, - \, $$2539$$ \, \cdot \, 271483774332931982425065477999227053821^{2} = 1$ |
| $2542$ | $175827599$ | $3487380$ | $175827599^{2} \, - \, $$2542$$ \, \cdot \, 3487380^{2} = 1$ |
| $2543$ | $124608$ | $2471$ | $124608^{2} \, - \, $$2543$$ \, \cdot \, 2471^{2} = 1$ |
| $2545$ | $219689611075957249$ | $4354774053705120$ | $219689611075957249^{2} \, - \, $$2545$$ \, \cdot \, 4354774053705120^{2} = 1$ |
| $2546$ | $164618455825$ | $3262491012$ | $164618455825^{2} \, - \, $$2546$$ \, \cdot \, 3262491012^{2} = 1$ |
| $2549$ | $100487356912123526021379257608724874758757013449$ | $1990336491260784725970391979608934335228370380$ | $100487356912123526021379257608724874758757013449^{2} \, - \, $$2549$$ \, \cdot \, 1990336491260784725970391979608934335228370380^{2} = 1$ |
| $2551$ | $1276131425326586384638683766298398265960$ | $25266214232002197381390770632974296907$ | $1276131425326586384638683766298398265960^{2} \, - \, $$2551$$ \, \cdot \, 25266214232002197381390770632974296907^{2} = 1$ |
| $2553$ | $207305303$ | $4102844$ | $207305303^{2} \, - \, $$2553$$ \, \cdot \, 4102844^{2} = 1$ |
| $2554$ | $48613985299$ | $961946190$ | $48613985299^{2} \, - \, $$2554$$ \, \cdot \, 961946190^{2} = 1$ |
| $2555$ | $5914$ | $117$ | $5914^{2} \, - \, $$2555$$ \, \cdot \, 117^{2} = 1$ |
| $2557$ | $3776076546774119988466249$ | $74675033397151470164700$ | $3776076546774119988466249^{2} \, - \, $$2557$$ \, \cdot \, 74675033397151470164700^{2} = 1$ |
| $2558$ | $1626624753663$ | $32161560064$ | $1626624753663^{2} \, - \, $$2558$$ \, \cdot \, 32161560064^{2} = 1$ |
| $2559$ | $275238491898535$ | $5440941126044$ | $275238491898535^{2} \, - \, $$2559$$ \, \cdot \, 5440941126044^{2} = 1$ |
| $2561$ | $8138172863569276449$ | $160813358214231560$ | $8138172863569276449^{2} \, - \, $$2561$$ \, \cdot \, 160813358214231560^{2} = 1$ |
| $2562$ | $61853$ | $1222$ | $61853^{2} \, - \, $$2562$$ \, \cdot \, 1222^{2} = 1$ |
| $2563$ | $6952239575168282$ | $137325258895089$ | $6952239575168282^{2} \, - \, $$2563$$ \, \cdot \, 137325258895089^{2} = 1$ |
| $2566$ | $17095194007594852257233485090423256140475176902725$ | $337478187371281328807970191795800558480788740658$ | $17095194007594852257233485090423256140475176902725^{2} \, - \, $$2566$$ \, \cdot \, 337478187371281328807970191795800558480788740658^{2} = 1$ |
| $2567$ | $152$ | $3$ | $152^{2} \, - \, $$2567$$ \, \cdot \, 3^{2} = 1$ |
| $2569$ | $80863008468539279210897090120039935$ | $1595393590276490824270791169608864$ | $80863008468539279210897090120039935^{2} \, - \, $$2569$$ \, \cdot \, 1595393590276490824270791169608864^{2} = 1$ |
| $2570$ | $371935539$ | $7336706$ | $371935539^{2} \, - \, $$2570$$ \, \cdot \, 7336706^{2} = 1$ |
| $2571$ | $31751566691434250$ | $626201524918013$ | $31751566691434250^{2} \, - \, $$2571$$ \, \cdot \, 626201524918013^{2} = 1$ |
| $2573$ | $20087$ | $396$ | $20087^{2} \, - \, $$2573$$ \, \cdot \, 396^{2} = 1$ |
| $2577$ | $97592255456747989283287$ | $1922463689544097867028$ | $97592255456747989283287^{2} \, - \, $$2577$$ \, \cdot \, 1922463689544097867028^{2} = 1$ |
| $2578$ | $1006453089134478737$ | $19822210359028716$ | $1006453089134478737^{2} \, - \, $$2578$$ \, \cdot \, 19822210359028716^{2} = 1$ |
| $2579$ | $16663748663188450$ | $328130828837559$ | $16663748663188450^{2} \, - \, $$2579$$ \, \cdot \, 328130828837559^{2} = 1$ |
| $2581$ | $51578296201$ | $1015249980$ | $51578296201^{2} \, - \, $$2581$$ \, \cdot \, 1015249980^{2} = 1$ |
| $2582$ | $7790964912901$ | $153325055130$ | $7790964912901^{2} \, - \, $$2582$$ \, \cdot \, 153325055130^{2} = 1$ |
| $2585$ | $4224361879$ | $83086572$ | $4224361879^{2} \, - \, $$2585$$ \, \cdot \, 83086572^{2} = 1$ |
| $2586$ | $265591230250799$ | $5222752797620$ | $265591230250799^{2} \, - \, $$2586$$ \, \cdot \, 5222752797620^{2} = 1$ |
| $2587$ | $130389118749343$ | $2563557929352$ | $130389118749343^{2} \, - \, $$2587$$ \, \cdot \, 2563557929352^{2} = 1$ |
| $2589$ | $323606015$ | $6359904$ | $323606015^{2} \, - \, $$2589$$ \, \cdot \, 6359904^{2} = 1$ |
| $2590$ | $2016433621$ | $39621786$ | $2016433621^{2} \, - \, $$2590$$ \, \cdot \, 39621786^{2} = 1$ |
| $2591$ | $1483136729556832472768880$ | $29137177775792668701167$ | $1483136729556832472768880^{2} \, - \, $$2591$$ \, \cdot \, 29137177775792668701167^{2} = 1$ |
| $2593$ | $104886450018170090238459447698867524467390367873$ | $2059767152867444695286432167375150231311029136$ | $104886450018170090238459447698867524467390367873^{2} \, - \, $$2593$$ \, \cdot \, 2059767152867444695286432167375150231311029136^{2} = 1$ |
| $2594$ | $621520949955$ | $12203117314$ | $621520949955^{2} \, - \, $$2594$$ \, \cdot \, 12203117314^{2} = 1$ |
| $2595$ | $866$ | $17$ | $866^{2} \, - \, $$2595$$ \, \cdot \, 17^{2} = 1$ |
| $2598$ | $1733$ | $34$ | $1733^{2} \, - \, $$2598$$ \, \cdot \, 34^{2} = 1$ |
| $2599$ | $2600$ | $51$ | $2600^{2} \, - \, $$2599$$ \, \cdot \, 51^{2} = 1$ |
| $2602$ | $5203$ | $102$ | $5203^{2} \, - \, $$2602$$ \, \cdot \, 102^{2} = 1$ |
| $2603$ | $2602$ | $51$ | $2602^{2} \, - \, $$2603$$ \, \cdot \, 51^{2} = 1$ |
| $2605$ | $8818451209$ | $172778004$ | $8818451209^{2} \, - \, $$2605$$ \, \cdot \, 172778004^{2} = 1$ |
| $2606$ | $72164166056115909135$ | $1413625567753931548$ | $72164166056115909135^{2} \, - \, $$2606$$ \, \cdot \, 1413625567753931548^{2} = 1$ |
| $2607$ | $868$ | $17$ | $868^{2} \, - \, $$2607$$ \, \cdot \, 17^{2} = 1$ |
| $2609$ | $165123328140388366928440935764846601249$ | $3232744592314835160469386382296609800$ | $165123328140388366928440935764846601249^{2} \, - \, $$2609$$ \, \cdot \, 3232744592314835160469386382296609800^{2} = 1$ |
| $2611$ | $895512396180640781215$ | $17525409158892481272$ | $895512396180640781215^{2} \, - \, $$2611$$ \, \cdot \, 17525409158892481272^{2} = 1$ |
| $2613$ | $328116151$ | $6418860$ | $328116151^{2} \, - \, $$2613$$ \, \cdot \, 6418860^{2} = 1$ |
| $2614$ | $2158873130582231281710486108218385536645$ | $42225454172666498656910154291739252854$ | $2158873130582231281710486108218385536645^{2} \, - \, $$2614$$ \, \cdot \, 42225454172666498656910154291739252854^{2} = 1$ |
| $2615$ | $53890444$ | $1053843$ | $53890444^{2} \, - \, $$2615$$ \, \cdot \, 1053843^{2} = 1$ |
| $2617$ | $135702025008454675751825974288345094606312291928193$ | $2652677581917786152000108824071986708381703812688$ | $135702025008454675751825974288345094606312291928193^{2} \, - \, $$2617$$ \, \cdot \, 2652677581917786152000108824071986708381703812688^{2} = 1$ |
| $2618$ | $307$ | $6$ | $307^{2} \, - \, $$2618$$ \, \cdot \, 6^{2} = 1$ |
| $2621$ | $24028704201$ | $469350020$ | $24028704201^{2} \, - \, $$2621$$ \, \cdot \, 469350020^{2} = 1$ |
| $2622$ | $4657547$ | $90958$ | $4657547^{2} \, - \, $$2622$$ \, \cdot \, 90958^{2} = 1$ |
| $2623$ | $4435785541709468$ | $86610669502599$ | $4435785541709468^{2} \, - \, $$2623$$ \, \cdot \, 86610669502599^{2} = 1$ |
| $2626$ | $1457695752897421729260451$ | $28445890082936464843530$ | $1457695752897421729260451^{2} \, - \, $$2626$$ \, \cdot \, 28445890082936464843530^{2} = 1$ |
| $2627$ | $7251274873$ | $141476508$ | $7251274873^{2} \, - \, $$2627$$ \, \cdot \, 141476508^{2} = 1$ |
| $2629$ | $121850850019426775310037321280008691512780083551$ | $2376475109998645181573715271897050811002748680$ | $121850850019426775310037321280008691512780083551^{2} \, - \, $$2629$$ \, \cdot \, 2376475109998645181573715271897050811002748680^{2} = 1$ |
| $2630$ | $71663291$ | $1397394$ | $71663291^{2} \, - \, $$2630$$ \, \cdot \, 1397394^{2} = 1$ |
| $2631$ | $150986572135$ | $2943593948$ | $150986572135^{2} \, - \, $$2631$$ \, \cdot \, 2943593948^{2} = 1$ |
| $2633$ | $119623847411912777238348616287074433$ | $2331268721314498277378493043381456$ | $119623847411912777238348616287074433^{2} \, - \, $$2633$$ \, \cdot \, 2331268721314498277378493043381456^{2} = 1$ |
| $2634$ | $548871829261148749$ | $10694563314774850$ | $548871829261148749^{2} \, - \, $$2634$$ \, \cdot \, 10694563314774850^{2} = 1$ |
| $2635$ | $154$ | $3$ | $154^{2} \, - \, $$2635$$ \, \cdot \, 3^{2} = 1$ |
| $2638$ | $10206656783$ | $198722076$ | $10206656783^{2} \, - \, $$2638$$ \, \cdot \, 198722076^{2} = 1$ |
| $2639$ | $222951$ | $4340$ | $222951^{2} \, - \, $$2639$$ \, \cdot \, 4340^{2} = 1$ |
| $2641$ | $690059611606733132555506398399379286551$ | $13427724087327877975122000454896887460$ | $690059611606733132555506398399379286551^{2} \, - \, $$2641$$ \, \cdot \, 13427724087327877975122000454896887460^{2} = 1$ |
| $2642$ | $132099$ | $2570$ | $132099^{2} \, - \, $$2642$$ \, \cdot \, 2570^{2} = 1$ |
| $2643$ | $11128569074402$ | $216466524439$ | $11128569074402^{2} \, - \, $$2643$$ \, \cdot \, 216466524439^{2} = 1$ |
| $2647$ | $10851309335942163141972945848$ | $210913885947189340235995557$ | $10851309335942163141972945848^{2} \, - \, $$2647$$ \, \cdot \, 210913885947189340235995557^{2} = 1$ |
| $2649$ | $99736649218553790682248535$ | $1937821608115448210697276$ | $99736649218553790682248535^{2} \, - \, $$2649$$ \, \cdot \, 1937821608115448210697276^{2} = 1$ |
| $2651$ | $7562563370$ | $146880507$ | $7562563370^{2} \, - \, $$2651$$ \, \cdot \, 146880507^{2} = 1$ |
| $2653$ | $258226633572765852547536256351$ | $5013400598232490226918061720$ | $258226633572765852547536256351^{2} \, - \, $$2653$$ \, \cdot \, 5013400598232490226918061720^{2} = 1$ |
| $2654$ | $127473468682426439324344575$ | $2474396794033166072130416$ | $127473468682426439324344575^{2} \, - \, $$2654$$ \, \cdot \, 2474396794033166072130416^{2} = 1$ |
| $2657$ | $218438255449455989686992576513$ | $4237726480339255206465000832$ | $218438255449455989686992576513^{2} \, - \, $$2657$$ \, \cdot \, 4237726480339255206465000832^{2} = 1$ |
| $2658$ | $215297$ | $4176$ | $215297^{2} \, - \, $$2658$$ \, \cdot \, 4176^{2} = 1$ |
| $2659$ | $3258468890$ | $63190881$ | $3258468890^{2} \, - \, $$2659$$ \, \cdot \, 63190881^{2} = 1$ |
| $2661$ | $376563673973981910581240139155621375$ | $7299884442486076765185604589919072$ | $376563673973981910581240139155621375^{2} \, - \, $$2661$$ \, \cdot \, 7299884442486076765185604589919072^{2} = 1$ |
| $2663$ | $6822820874808$ | $132214286701$ | $6822820874808^{2} \, - \, $$2663$$ \, \cdot \, 132214286701^{2} = 1$ |
| $2665$ | $2732067233303329$ | $52922795435016$ | $2732067233303329^{2} \, - \, $$2665$$ \, \cdot \, 52922795435016^{2} = 1$ |
| $2666$ | $1549$ | $30$ | $1549^{2} \, - \, $$2666$$ \, \cdot \, 30^{2} = 1$ |
| $2667$ | $348487$ | $6748$ | $348487^{2} \, - \, $$2667$$ \, \cdot \, 6748^{2} = 1$ |
| $2669$ | $1861705$ | $36036$ | $1861705^{2} \, - \, $$2669$$ \, \cdot \, 36036^{2} = 1$ |
| $2670$ | $9611$ | $186$ | $9611^{2} \, - \, $$2670$$ \, \cdot \, 186^{2} = 1$ |
| $2671$ | $4349013252293818518099792221495121450841159712907200$ | $84149935423822470461838794241638111398268441002137$ | $4349013252293818518099792221495121450841159712907200^{2} \, - \, $$2671$$ \, \cdot \, 84149935423822470461838794241638111398268441002137^{2} = 1$ |
| $2674$ | $510996085615$ | $9881818476$ | $510996085615^{2} \, - \, $$2674$$ \, \cdot \, 9881818476^{2} = 1$ |
| $2677$ | $1451617168278375907849$ | $28056139377287151780$ | $1451617168278375907849^{2} \, - \, $$2677$$ \, \cdot \, 28056139377287151780^{2} = 1$ |
| $2678$ | $207$ | $4$ | $207^{2} \, - \, $$2678$$ \, \cdot \, 4^{2} = 1$ |
| $2679$ | $118580$ | $2291$ | $118580^{2} \, - \, $$2679$$ \, \cdot \, 2291^{2} = 1$ |
| $2681$ | $108082190024525285855$ | $2087400239884220952$ | $108082190024525285855^{2} \, - \, $$2681$$ \, \cdot \, 2087400239884220952^{2} = 1$ |
| $2683$ | $773827814603282114525250626$ | $14939429036546677804599675$ | $773827814603282114525250626^{2} \, - \, $$2683$$ \, \cdot \, 14939429036546677804599675^{2} = 1$ |
| $2685$ | $43319$ | $836$ | $43319^{2} \, - \, $$2685$$ \, \cdot \, 836^{2} = 1$ |
| $2686$ | $166299652488519935$ | $3208768144845072$ | $166299652488519935^{2} \, - \, $$2686$$ \, \cdot \, 3208768144845072^{2} = 1$ |
| $2687$ | $26402897640624$ | $509351698625$ | $26402897640624^{2} \, - \, $$2687$$ \, \cdot \, 509351698625^{2} = 1$ |
| $2689$ | $1486752598750298706771227207179839300086558418538034527998595302531419005266049$ | $28671030661899945175593881928676636810622084494707302461995502272416462839440$ | $1486752598750298706771227207179839300086558418538034527998595302531419005266049^{2} \, - \, $$2689$$ \, \cdot \, 28671030661899945175593881928676636810622084494707302461995502272416462839440^{2} = 1$ |
| $2690$ | $89250590019$ | $1720818062$ | $89250590019^{2} \, - \, $$2690$$ \, \cdot \, 1720818062^{2} = 1$ |
| $2693$ | $3682921693274451915849$ | $70969918782526092340$ | $3682921693274451915849^{2} \, - \, $$2693$$ \, \cdot \, 70969918782526092340^{2} = 1$ |
| $2694$ | $4392033935525$ | $84618805686$ | $4392033935525^{2} \, - \, $$2694$$ \, \cdot \, 84618805686^{2} = 1$ |
| $2697$ | $3260760233$ | $62788252$ | $3260760233^{2} \, - \, $$2697$$ \, \cdot \, 62788252^{2} = 1$ |
| $2698$ | $988423910063$ | $19029276204$ | $988423910063^{2} \, - \, $$2698$$ \, \cdot \, 19029276204^{2} = 1$ |
| $2699$ | $3086915899339582815293605610$ | $59418728668948528290125949$ | $3086915899339582815293605610^{2} \, - \, $$2699$$ \, \cdot \, 59418728668948528290125949^{2} = 1$ |
| $2701$ | $5214516077228494465$ | $100334829892096368$ | $5214516077228494465^{2} \, - \, $$2701$$ \, \cdot \, 100334829892096368^{2} = 1$ |
| $2702$ | $2703$ | $52$ | $2703^{2} \, - \, $$2702$$ \, \cdot \, 52^{2} = 1$ |
| $2703$ | $52$ | $1$ | $52^{2} \, - \, $$2703$$ \, \cdot \, 1^{2} = 1$ |
| $2705$ | $5409$ | $104$ | $5409^{2} \, - \, $$2705$$ \, \cdot \, 104^{2} = 1$ |
| $2706$ | $2705$ | $52$ | $2705^{2} \, - \, $$2706$$ \, \cdot \, 52^{2} = 1$ |
| $2707$ | $7628472907161187907593572773808842$ | $146620089499130414571654614318553$ | $7628472907161187907593572773808842^{2} \, - \, $$2707$$ \, \cdot \, 146620089499130414571654614318553^{2} = 1$ |
| $2710$ | $5445805235711744719$ | $104611025547809124$ | $5445805235711744719^{2} \, - \, $$2710$$ \, \cdot \, 104611025547809124^{2} = 1$ |
| $2711$ | $134815320$ | $2589253$ | $134815320^{2} \, - \, $$2711$$ \, \cdot \, 2589253^{2} = 1$ |
| $2713$ | $39429350836372357633$ | $756997996428674976$ | $39429350836372357633^{2} \, - \, $$2713$$ \, \cdot \, 756997996428674976^{2} = 1$ |
| $2714$ | $176173055$ | $3381696$ | $176173055^{2} \, - \, $$2714$$ \, \cdot \, 3381696^{2} = 1$ |
| $2715$ | $130681$ | $2508$ | $130681^{2} \, - \, $$2715$$ \, \cdot \, 2508^{2} = 1$ |
| $2717$ | $417$ | $8$ | $417^{2} \, - \, $$2717$$ \, \cdot \, 8^{2} = 1$ |
| $2719$ | $90213158986852637950750592528480$ | $1730076419895552990179657707311$ | $90213158986852637950750592528480^{2} \, - \, $$2719$$ \, \cdot \, 1730076419895552990179657707311^{2} = 1$ |
| $2721$ | $5231287949706796270736288215$ | $100286934195999623391686388$ | $5231287949706796270736288215^{2} \, - \, $$2721$$ \, \cdot \, 100286934195999623391686388^{2} = 1$ |
| $2722$ | $2041762124683043$ | $39134616546822$ | $2041762124683043^{2} \, - \, $$2722$$ \, \cdot \, 39134616546822^{2} = 1$ |
| $2723$ | $94137$ | $1804$ | $94137^{2} \, - \, $$2723$$ \, \cdot \, 1804^{2} = 1$ |
| $2726$ | $4699$ | $90$ | $4699^{2} \, - \, $$2726$$ \, \cdot \, 90^{2} = 1$ |
| $2729$ | $964380464565806235972853895559243571971201$ | $18460635036860138679424877332849707865840$ | $964380464565806235972853895559243571971201^{2} \, - \, $$2729$$ \, \cdot \, 18460635036860138679424877332849707865840^{2} = 1$ |
| $2730$ | $209$ | $4$ | $209^{2} \, - \, $$2730$$ \, \cdot \, 4^{2} = 1$ |
| $2731$ | $233491784972575648034872773766647543202470215173250$ | $4467975213463184073224463717309444804937448359677$ | $233491784972575648034872773766647543202470215173250^{2} \, - \, $$2731$$ \, \cdot \, 4467975213463184073224463717309444804937448359677^{2} = 1$ |
| $2733$ | $8807354212862973542399$ | $168471191441485221120$ | $8807354212862973542399^{2} \, - \, $$2733$$ \, \cdot \, 168471191441485221120^{2} = 1$ |
| $2734$ | $9929304667938841403973053868156585213824142095$ | $189897646158051981637176755489848166277736956$ | $9929304667938841403973053868156585213824142095^{2} \, - \, $$2734$$ \, \cdot \, 189897646158051981637176755489848166277736956^{2} = 1$ |
| $2735$ | $748844$ | $14319$ | $748844^{2} \, - \, $$2735$$ \, \cdot \, 14319^{2} = 1$ |
| $2737$ | $214123529206817$ | $4092860986632$ | $214123529206817^{2} \, - \, $$2737$$ \, \cdot \, 4092860986632^{2} = 1$ |
| $2739$ | $24650$ | $471$ | $24650^{2} \, - \, $$2739$$ \, \cdot \, 471^{2} = 1$ |
| $2741$ | $383850600571418163965914140743156114043627426249$ | $7331750992960646600724177257481427433994594100$ | $383850600571418163965914140743156114043627426249^{2} \, - \, $$2741$$ \, \cdot \, 7331750992960646600724177257481427433994594100^{2} = 1$ |
| $2742$ | $110593$ | $2112$ | $110593^{2} \, - \, $$2742$$ \, \cdot \, 2112^{2} = 1$ |
| $2743$ | $36671287605913$ | $700185729924$ | $36671287605913^{2} \, - \, $$2743$$ \, \cdot \, 700185729924^{2} = 1$ |
| $2746$ | $70309377969575864472290829571651856235693798011251$ | $1341723385262255413788666848751511136518978103850$ | $70309377969575864472290829571651856235693798011251^{2} \, - \, $$2746$$ \, \cdot \, 1341723385262255413788666848751511136518978103850^{2} = 1$ |
| $2747$ | $793882$ | $15147$ | $793882^{2} \, - \, $$2747$$ \, \cdot \, 15147^{2} = 1$ |
| $2749$ | $1309283418829459593551206699168227697836075150640293910312111829449$ | $24971595874456862951870660098403722928901684196589825436070092420$ | $1309283418829459593551206699168227697836075150640293910312111829449^{2} \, - \, $$2749$$ \, \cdot \, 24971595874456862951870660098403722928901684196589825436070092420^{2} = 1$ |
| $2751$ | $1049$ | $20$ | $1049^{2} \, - \, $$2751$$ \, \cdot \, 20^{2} = 1$ |
| $2753$ | $15632720771691397451179866304177977839649$ | $297941819056883475686798723383130440120$ | $15632720771691397451179866304177977839649^{2} \, - \, $$2753$$ \, \cdot \, 297941819056883475686798723383130440120^{2} = 1$ |
| $2755$ | $4409$ | $84$ | $4409^{2} \, - \, $$2755$$ \, \cdot \, 84^{2} = 1$ |
| $2757$ | $7351$ | $140$ | $7351^{2} \, - \, $$2757$$ \, \cdot \, 140^{2} = 1$ |
| $2758$ | $3151$ | $60$ | $3151^{2} \, - \, $$2758$$ \, \cdot \, 60^{2} = 1$ |
| $2759$ | $70700164738920$ | $1345998498781$ | $70700164738920^{2} \, - \, $$2759$$ \, \cdot \, 1345998498781^{2} = 1$ |
| $2761$ | $12483470907067715753153050883035799$ | $237575772535037174786128402858380$ | $12483470907067715753153050883035799^{2} \, - \, $$2761$$ \, \cdot \, 237575772535037174786128402858380^{2} = 1$ |
| $2762$ | $284815968247635958899$ | $5419416101332012910$ | $284815968247635958899^{2} \, - \, $$2762$$ \, \cdot \, 5419416101332012910^{2} = 1$ |
| $2765$ | $631$ | $12$ | $631^{2} \, - \, $$2765$$ \, \cdot \, 12^{2} = 1$ |
| $2766$ | $25508667791812164299$ | $485022281287444230$ | $25508667791812164299^{2} \, - \, $$2766$$ \, \cdot \, 485022281287444230^{2} = 1$ |
| $2767$ | $45611926379664274735533911024$ | $867109281872267831470098615$ | $45611926379664274735533911024^{2} \, - \, $$2767$$ \, \cdot \, 867109281872267831470098615^{2} = 1$ |
| $2769$ | $348383291046935$ | $6620576979236$ | $348383291046935^{2} \, - \, $$2769$$ \, \cdot \, 6620576979236^{2} = 1$ |
| $2770$ | $46233656904498499$ | $878452658074170$ | $46233656904498499^{2} \, - \, $$2770$$ \, \cdot \, 878452658074170^{2} = 1$ |
| $2771$ | $53538490$ | $1017063$ | $53538490^{2} \, - \, $$2771$$ \, \cdot \, 1017063^{2} = 1$ |
| $2773$ | $5714107890047$ | $108510933936$ | $5714107890047^{2} \, - \, $$2773$$ \, \cdot \, 108510933936^{2} = 1$ |
| $2774$ | $24965$ | $474$ | $24965^{2} \, - \, $$2774$$ \, \cdot \, 474^{2} = 1$ |
| $2777$ | $65987073$ | $1252192$ | $65987073^{2} \, - \, $$2777$$ \, \cdot \, 1252192^{2} = 1$ |
| $2778$ | $862314349$ | $16360610$ | $862314349^{2} \, - \, $$2778$$ \, \cdot \, 16360610^{2} = 1$ |
| $2779$ | $114322228490768496882326$ | $2168634728131362290235$ | $114322228490768496882326^{2} \, - \, $$2779$$ \, \cdot \, 2168634728131362290235^{2} = 1$ |
| $2782$ | $576276533$ | $10925778$ | $576276533^{2} \, - \, $$2782$$ \, \cdot \, 10925778^{2} = 1$ |
| $2785$ | $828965230694969335359009085729$ | $15708102103882040469537404328$ | $828965230694969335359009085729^{2} \, - \, $$2785$$ \, \cdot \, 15708102103882040469537404328^{2} = 1$ |
| $2786$ | $1473795$ | $27922$ | $1473795^{2} \, - \, $$2786$$ \, \cdot \, 27922^{2} = 1$ |
| $2787$ | $3617371959722$ | $68521156353$ | $3617371959722^{2} \, - \, $$2787$$ \, \cdot \, 68521156353^{2} = 1$ |
| $2789$ | $3508089167974376115475412293319049$ | $66427264212708045889730290269860$ | $3508089167974376115475412293319049^{2} \, - \, $$2789$$ \, \cdot \, 66427264212708045889730290269860^{2} = 1$ |
| $2791$ | $4458728908940210504213575731356879681480$ | $84397804618194258715560532772853583533$ | $4458728908940210504213575731356879681480^{2} \, - \, $$2791$$ \, \cdot \, 84397804618194258715560532772853583533^{2} = 1$ |
| $2794$ | $4830747042032757189358255$ | $91390508914113248606964$ | $4830747042032757189358255^{2} \, - \, $$2794$$ \, \cdot \, 91390508914113248606964^{2} = 1$ |
| $2795$ | $48374$ | $915$ | $48374^{2} \, - \, $$2795$$ \, \cdot \, 915^{2} = 1$ |
| $2797$ | $2480095742097605340009673$ | $46894532812600599279132$ | $2480095742097605340009673^{2} \, - \, $$2797$$ \, \cdot \, 46894532812600599279132^{2} = 1$ |
| $2798$ | $457055996961423$ | $8640632942956$ | $457055996961423^{2} \, - \, $$2798$$ \, \cdot \, 8640632942956^{2} = 1$ |
| $2801$ | $95590515911922753197144582415072632595207201$ | $1806168447278817771873693507844913181008120$ | $95590515911922753197144582415072632595207201^{2} \, - \, $$2801$$ \, \cdot \, 1806168447278817771873693507844913181008120^{2} = 1$ |
| $2802$ | $144384257$ | $2727632$ | $144384257^{2} \, - \, $$2802$$ \, \cdot \, 2727632^{2} = 1$ |
| $2803$ | $739601380783964457333962$ | $13969670557664222702391$ | $739601380783964457333962^{2} \, - \, $$2803$$ \, \cdot \, 13969670557664222702391^{2} = 1$ |
| $2805$ | $74359$ | $1404$ | $74359^{2} \, - \, $$2805$$ \, \cdot \, 1404^{2} = 1$ |
| $2806$ | $133948994860768072699$ | $2528690201566604790$ | $133948994860768072699^{2} \, - \, $$2806$$ \, \cdot \, 2528690201566604790^{2} = 1$ |
| $2807$ | $2808$ | $53$ | $2808^{2} \, - \, $$2807$$ \, \cdot \, 53^{2} = 1$ |
| $2810$ | $5619$ | $106$ | $5619^{2} \, - \, $$2810$$ \, \cdot \, 106^{2} = 1$ |
| $2811$ | $2810$ | $53$ | $2810^{2} \, - \, $$2811$$ \, \cdot \, 53^{2} = 1$ |
| $2813$ | $11105864649$ | $209395580$ | $11105864649^{2} \, - \, $$2813$$ \, \cdot \, 209395580^{2} = 1$ |
| $2814$ | $21762805$ | $410254$ | $21762805^{2} \, - \, $$2814$$ \, \cdot \, 410254^{2} = 1$ |
| $2815$ | $82510175296505044$ | $1555135767914343$ | $82510175296505044^{2} \, - \, $$2815$$ \, \cdot \, 1555135767914343^{2} = 1$ |
| $2818$ | $14290414644690524483$ | $269199553916175054$ | $14290414644690524483^{2} \, - \, $$2818$$ \, \cdot \, 269199553916175054^{2} = 1$ |
| $2819$ | $2405361813285308538610$ | $45303616683140924511$ | $2405361813285308538610^{2} \, - \, $$2819$$ \, \cdot \, 45303616683140924511^{2} = 1$ |
| $2821$ | $287404172356006502918785$ | $5411174328833789242512$ | $287404172356006502918785^{2} \, - \, $$2821$$ \, \cdot \, 5411174328833789242512^{2} = 1$ |
| $2822$ | $21249$ | $400$ | $21249^{2} \, - \, $$2822$$ \, \cdot \, 400^{2} = 1$ |
| $2823$ | $11945965828$ | $224835989$ | $11945965828^{2} \, - \, $$2823$$ \, \cdot \, 224835989^{2} = 1$ |
| $2827$ | $18503$ | $348$ | $18503^{2} \, - \, $$2827$$ \, \cdot \, 348^{2} = 1$ |
| $2829$ | $62975$ | $1184$ | $62975^{2} \, - \, $$2829$$ \, \cdot \, 1184^{2} = 1$ |
| $2830$ | $257411014289490035536811$ | $4838758064149565790978$ | $257411014289490035536811^{2} \, - \, $$2830$$ \, \cdot \, 4838758064149565790978^{2} = 1$ |
| $2831$ | $7449$ | $140$ | $7449^{2} \, - \, $$2831$$ \, \cdot \, 140^{2} = 1$ |
| $2833$ | $154237768643612608151296137047141666625722944069633$ | $2897793583281902184050772904521047625357662307456$ | $154237768643612608151296137047141666625722944069633^{2} \, - \, $$2833$$ \, \cdot \, 2897793583281902184050772904521047625357662307456^{2} = 1$ |
| $2834$ | $1638051$ | $30770$ | $1638051^{2} \, - \, $$2834$$ \, \cdot \, 30770^{2} = 1$ |
| $2837$ | $83250259353033$ | $1562989020532$ | $83250259353033^{2} \, - \, $$2837$$ \, \cdot \, 1562989020532^{2} = 1$ |
| $2838$ | $343397$ | $6446$ | $343397^{2} \, - \, $$2838$$ \, \cdot \, 6446^{2} = 1$ |
| $2839$ | $1114308188985541770045080$ | $20913302814328909741179$ | $1114308188985541770045080^{2} \, - \, $$2839$$ \, \cdot \, 20913302814328909741179^{2} = 1$ |
| $2841$ | $243952540346667738528012695$ | $4576882130035636631437292$ | $243952540346667738528012695^{2} \, - \, $$2841$$ \, \cdot \, 4576882130035636631437292^{2} = 1$ |
| $2843$ | $2036172389761265626$ | $38187929693317125$ | $2036172389761265626^{2} \, - \, $$2843$$ \, \cdot \, 38187929693317125^{2} = 1$ |
| $2845$ | $10241$ | $192$ | $10241^{2} \, - \, $$2845$$ \, \cdot \, 192^{2} = 1$ |
| $2846$ | $95509945887274268815935$ | $1790322011122638931112$ | $95509945887274268815935^{2} \, - \, $$2846$$ \, \cdot \, 1790322011122638931112^{2} = 1$ |
| $2847$ | $372007$ | $6972$ | $372007^{2} \, - \, $$2847$$ \, \cdot \, 6972^{2} = 1$ |
| $2849$ | $52095$ | $976$ | $52095^{2} \, - \, $$2849$$ \, \cdot \, 976^{2} = 1$ |
| $2851$ | $328739142906862100760005698333091724623606552450$ | $6156768299104608480550081216625932671209939793$ | $328739142906862100760005698333091724623606552450^{2} \, - \, $$2851$$ \, \cdot \, 6156768299104608480550081216625932671209939793^{2} = 1$ |
| $2854$ | $70723464119696737047211575478296393212263205$ | $1323843173795596089587191323556961507355066$ | $70723464119696737047211575478296393212263205^{2} \, - \, $$2854$$ \, \cdot \, 1323843173795596089587191323556961507355066^{2} = 1$ |
| $2855$ | $15901209$ | $297596$ | $15901209^{2} \, - \, $$2855$$ \, \cdot \, 297596^{2} = 1$ |
| $2857$ | $1539991385982057015073$ | $28811321016669197448$ | $1539991385982057015073^{2} \, - \, $$2857$$ \, \cdot \, 28811321016669197448^{2} = 1$ |
| $2858$ | $2565813742089269043$ | $47994781028578034$ | $2565813742089269043^{2} \, - \, $$2858$$ \, \cdot \, 47994781028578034^{2} = 1$ |
| $2859$ | $1375842199370$ | $25731289331$ | $1375842199370^{2} \, - \, $$2859$$ \, \cdot \, 25731289331^{2} = 1$ |
| $2861$ | $1614025502300751810689752570663314997028114097801$ | $30175290764032104456812278924363605197391137140$ | $1614025502300751810689752570663314997028114097801^{2} \, - \, $$2861$$ \, \cdot \, 30175290764032104456812278924363605197391137140^{2} = 1$ |
| $2863$ | $373785266259728$ | $6985725310329$ | $373785266259728^{2} \, - \, $$2863$$ \, \cdot \, 6985725310329^{2} = 1$ |
| $2865$ | $34792183672319$ | $650009006432$ | $34792183672319^{2} \, - \, $$2865$$ \, \cdot \, 650009006432^{2} = 1$ |
| $2866$ | $33887083995464705$ | $632988917119392$ | $33887083995464705^{2} \, - \, $$2866$$ \, \cdot \, 632988917119392^{2} = 1$ |
| $2867$ | $761401$ | $14220$ | $761401^{2} \, - \, $$2867$$ \, \cdot \, 14220^{2} = 1$ |
| $2869$ | $191619922383199$ | $3577464936120$ | $191619922383199^{2} \, - \, $$2869$$ \, \cdot \, 3577464936120^{2} = 1$ |
| $2870$ | $56251$ | $1050$ | $56251^{2} \, - \, $$2870$$ \, \cdot \, 1050^{2} = 1$ |
| $2874$ | $117725332133230187951$ | $2195970706482618460$ | $117725332133230187951^{2} \, - \, $$2874$$ \, \cdot \, 2195970706482618460^{2} = 1$ |
| $2877$ | $25347034999$ | $472560300$ | $25347034999^{2} \, - \, $$2877$$ \, \cdot \, 472560300^{2} = 1$ |
| $2878$ | $831743$ | $15504$ | $831743^{2} \, - \, $$2878$$ \, \cdot \, 15504^{2} = 1$ |
| $2879$ | $998434637950023682320$ | $18607961842297947359$ | $998434637950023682320^{2} \, - \, $$2879$$ \, \cdot \, 18607961842297947359^{2} = 1$ |
| $2881$ | $2055346736886525497772061297653827626135$ | $38292477752462042938155553247280377052$ | $2055346736886525497772061297653827626135^{2} \, - \, $$2881$$ \, \cdot \, 38292477752462042938155553247280377052^{2} = 1$ |
| $2882$ | $1040401$ | $19380$ | $1040401^{2} \, - \, $$2882$$ \, \cdot \, 19380^{2} = 1$ |
| $2885$ | $891108531535358282394249$ | $16590431927283601206820$ | $891108531535358282394249^{2} \, - \, $$2885$$ \, \cdot \, 16590431927283601206820^{2} = 1$ |
| $2886$ | $1393362725$ | $25936778$ | $1393362725^{2} \, - \, $$2886$$ \, \cdot \, 25936778^{2} = 1$ |
| $2887$ | $2747035409190545788711864083224$ | $51125888148607765484951623395$ | $2747035409190545788711864083224^{2} \, - \, $$2887$$ \, \cdot \, 51125888148607765484951623395^{2} = 1$ |
| $2893$ | $11860487811033290600294465783857151$ | $220510023079426483847949609269760$ | $11860487811033290600294465783857151^{2} \, - \, $$2893$$ \, \cdot \, 220510023079426483847949609269760^{2} = 1$ |
| $2894$ | $6948495$ | $129164$ | $6948495^{2} \, - \, $$2894$$ \, \cdot \, 129164^{2} = 1$ |
| $2895$ | $5721484$ | $106337$ | $5721484^{2} \, - \, $$2895$$ \, \cdot \, 106337^{2} = 1$ |
| $2897$ | $69471015037455310626018849$ | $1290712145565849413038280$ | $69471015037455310626018849^{2} \, - \, $$2897$$ \, \cdot \, 1290712145565849413038280^{2} = 1$ |
| $2899$ | $28467555941785795192995326$ | $528720409319530600743465$ | $28467555941785795192995326^{2} \, - \, $$2899$$ \, \cdot \, 528720409319530600743465^{2} = 1$ |
| $2901$ | $5359336079726106308215$ | $99503218324311247932$ | $5359336079726106308215^{2} \, - \, $$2901$$ \, \cdot \, 99503218324311247932^{2} = 1$ |
| $2902$ | $4701654988901$ | $87277450830$ | $4701654988901^{2} \, - \, $$2902$$ \, \cdot \, 87277450830^{2} = 1$ |
| $2903$ | $502223090328$ | $9321228581$ | $502223090328^{2} \, - \, $$2903$$ \, \cdot \, 9321228581^{2} = 1$ |
| $2905$ | $175881572341225001$ | $3263226890382300$ | $175881572341225001^{2} \, - \, $$2905$$ \, \cdot \, 3263226890382300^{2} = 1$ |
| $2906$ | $637124345553652600658451$ | $11818881968700727747070$ | $637124345553652600658451^{2} \, - \, $$2906$$ \, \cdot \, 11818881968700727747070^{2} = 1$ |
| $2909$ | $16897786908289722050487265731509415434251242779351898191049$ | $313298249584702615168574286325353621564578167171961337340$ | $16897786908289722050487265731509415434251242779351898191049^{2} \, - \, $$2909$$ \, \cdot \, 313298249584702615168574286325353621564578167171961337340^{2} = 1$ |
| $2910$ | $971$ | $18$ | $971^{2} \, - \, $$2910$$ \, \cdot \, 18^{2} = 1$ |
| $2911$ | $1620054111830357848400$ | $30026756219439444303$ | $1620054111830357848400^{2} \, - \, $$2911$$ \, \cdot \, 30026756219439444303^{2} = 1$ |
| $2913$ | $1943$ | $36$ | $1943^{2} \, - \, $$2913$$ \, \cdot \, 36^{2} = 1$ |
| $2914$ | $2915$ | $54$ | $2915^{2} \, - \, $$2914$$ \, \cdot \, 54^{2} = 1$ |
| $2915$ | $54$ | $1$ | $54^{2} \, - \, $$2915$$ \, \cdot \, 1^{2} = 1$ |
| $2917$ | $5833$ | $108$ | $5833^{2} \, - \, $$2917$$ \, \cdot \, 108^{2} = 1$ |
| $2918$ | $2917$ | $54$ | $2917^{2} \, - \, $$2918$$ \, \cdot \, 54^{2} = 1$ |
| $2919$ | $1945$ | $36$ | $1945^{2} \, - \, $$2919$$ \, \cdot \, 36^{2} = 1$ |
| $2921$ | $92911644445956603418495$ | $1719112777396436156112$ | $92911644445956603418495^{2} \, - \, $$2921$$ \, \cdot \, 1719112777396436156112^{2} = 1$ |
| $2922$ | $973$ | $18$ | $973^{2} \, - \, $$2922$$ \, \cdot \, 18^{2} = 1$ |
| $2923$ | $146817109455160238$ | $2715577875581379$ | $146817109455160238^{2} \, - \, $$2923$$ \, \cdot \, 2715577875581379^{2} = 1$ |
| $2926$ | $273337816949$ | $5053154310$ | $273337816949^{2} \, - \, $$2926$$ \, \cdot \, 5053154310^{2} = 1$ |
| $2927$ | $280218097643253024$ | $5179464003951385$ | $280218097643253024^{2} \, - \, $$2927$$ \, \cdot \, 5179464003951385^{2} = 1$ |
| $2929$ | $26012437669205256915874338283010332801$ | $480641611090287943618697290653784080$ | $26012437669205256915874338283010332801^{2} \, - \, $$2929$$ \, \cdot \, 480641611090287943618697290653784080^{2} = 1$ |
| $2930$ | $602641702659$ | $11133337414$ | $602641702659^{2} \, - \, $$2930$$ \, \cdot \, 11133337414^{2} = 1$ |
| $2931$ | $1337392792850$ | $24703077977$ | $1337392792850^{2} \, - \, $$2931$$ \, \cdot \, 24703077977^{2} = 1$ |
| $2933$ | $1730417529569399$ | $31951766552580$ | $1730417529569399^{2} \, - \, $$2933$$ \, \cdot \, 31951766552580^{2} = 1$ |
| $2935$ | $90461809170123218535124$ | $1669787541018408418035$ | $90461809170123218535124^{2} \, - \, $$2935$$ \, \cdot \, 1669787541018408418035^{2} = 1$ |
| $2937$ | $2049651193943$ | $37820562748$ | $2049651193943^{2} \, - \, $$2937$$ \, \cdot \, 37820562748^{2} = 1$ |
| $2938$ | $786707$ | $14514$ | $786707^{2} \, - \, $$2938$$ \, \cdot \, 14514^{2} = 1$ |
| $2939$ | $1200413272526993988370$ | $22142721389518585371$ | $1200413272526993988370^{2} \, - \, $$2939$$ \, \cdot \, 22142721389518585371^{2} = 1$ |
| $2941$ | $61391740907233801$ | $1132041730971060$ | $61391740907233801^{2} \, - \, $$2941$$ \, \cdot \, 1132041730971060^{2} = 1$ |
| $2942$ | $160473952316337413345343$ | $2958579303123524804488$ | $160473952316337413345343^{2} \, - \, $$2942$$ \, \cdot \, 2958579303123524804488^{2} = 1$ |
| $2945$ | $3039$ | $56$ | $3039^{2} \, - \, $$2945$$ \, \cdot \, 56^{2} = 1$ |
| $2946$ | $13279523115665$ | $244661767012$ | $13279523115665^{2} \, - \, $$2946$$ \, \cdot \, 244661767012^{2} = 1$ |
| $2947$ | $55452377383327$ | $1021480551432$ | $55452377383327^{2} \, - \, $$2947$$ \, \cdot \, 1021480551432^{2} = 1$ |
| $2949$ | $32481277619848009315179626492956619135$ | $598130181264455486251323104761600176$ | $32481277619848009315179626492956619135^{2} \, - \, $$2949$$ \, \cdot \, 598130181264455486251323104761600176^{2} = 1$ |
| $2951$ | $70909586865324$ | $1305330093035$ | $70909586865324^{2} \, - \, $$2951$$ \, \cdot \, 1305330093035^{2} = 1$ |
| $2953$ | $111256449090026148450639256474691263531056229009016833$ | $2047356498001533360158177291999951093799346623798336$ | $111256449090026148450639256474691263531056229009016833^{2} \, - \, $$2953$$ \, \cdot \, 2047356498001533360158177291999951093799346623798336^{2} = 1$ |
| $2954$ | $1283197398015$ | $23609578016$ | $1283197398015^{2} \, - \, $$2954$$ \, \cdot \, 23609578016^{2} = 1$ |
| $2955$ | $615626$ | $11325$ | $615626^{2} \, - \, $$2955$$ \, \cdot \, 11325^{2} = 1$ |
| $2957$ | $22530132334384812409297112649$ | $414322081989657962657220860$ | $22530132334384812409297112649^{2} \, - \, $$2957$$ \, \cdot \, 414322081989657962657220860^{2} = 1$ |
| $2958$ | $4351$ | $80$ | $4351^{2} \, - \, $$2958$$ \, \cdot \, 80^{2} = 1$ |
| $2959$ | $8374066767391573799$ | $153944414665166940$ | $8374066767391573799^{2} \, - \, $$2959$$ \, \cdot \, 153944414665166940^{2} = 1$ |
| $2962$ | $3225617$ | $59268$ | $3225617^{2} \, - \, $$2962$$ \, \cdot \, 59268^{2} = 1$ |
| $2963$ | $2869304849494085026$ | $52712166533142135$ | $2869304849494085026^{2} \, - \, $$2963$$ \, \cdot \, 52712166533142135^{2} = 1$ |
| $2965$ | $58536730630415082769173266423869563238729$ | $1075018935147998710261288007439167344596$ | $58536730630415082769173266423869563238729^{2} \, - \, $$2965$$ \, \cdot \, 1075018935147998710261288007439167344596^{2} = 1$ |
| $2966$ | $4729241801125$ | $86837226942$ | $4729241801125^{2} \, - \, $$2966$$ \, \cdot \, 86837226942^{2} = 1$ |
| $2967$ | $15524$ | $285$ | $15524^{2} \, - \, $$2967$$ \, \cdot \, 285^{2} = 1$ |
| $2969$ | $570246933077637754755145227179566314776668449$ | $10465448849954039859050311253228021551619320$ | $570246933077637754755145227179566314776668449^{2} \, - \, $$2969$$ \, \cdot \, 10465448849954039859050311253228021551619320^{2} = 1$ |
| $2971$ | $441569157521210$ | $8101163652987$ | $441569157521210^{2} \, - \, $$2971$$ \, \cdot \, 8101163652987^{2} = 1$ |
| $2973$ | $712804363918595355093751$ | $13072928782141781416500$ | $712804363918595355093751^{2} \, - \, $$2973$$ \, \cdot \, 13072928782141781416500^{2} = 1$ |
| $2974$ | $34937462649406244109666424857286099432356095$ | $640650071344309501862374102447674521343024$ | $34937462649406244109666424857286099432356095^{2} \, - \, $$2974$$ \, \cdot \, 640650071344309501862374102447674521343024^{2} = 1$ |
| $2977$ | $7612693410902648186499768709633$ | $139524001217788678984104604512$ | $7612693410902648186499768709633^{2} \, - \, $$2977$$ \, \cdot \, 139524001217788678984104604512^{2} = 1$ |
| $2978$ | $145923$ | $2674$ | $145923^{2} \, - \, $$2978$$ \, \cdot \, 2674^{2} = 1$ |
| $2981$ | $10172799$ | $186320$ | $10172799^{2} \, - \, $$2981$$ \, \cdot \, 186320^{2} = 1$ |
| $2982$ | $7099$ | $130$ | $7099^{2} \, - \, $$2982$$ \, \cdot \, 130^{2} = 1$ |
| $2983$ | $89834700747316249$ | $1644816669648900$ | $89834700747316249^{2} \, - \, $$2983$$ \, \cdot \, 1644816669648900^{2} = 1$ |
| $2985$ | $42158255071$ | $771632408$ | $42158255071^{2} \, - \, $$2985$$ \, \cdot \, 771632408^{2} = 1$ |
| $2986$ | $29458926451$ | $539103330$ | $29458926451^{2} \, - \, $$2986$$ \, \cdot \, 539103330^{2} = 1$ |
| $2987$ | $139257$ | $2548$ | $139257^{2} \, - \, $$2987$$ \, \cdot \, 2548^{2} = 1$ |
| $2990$ | $1320981$ | $24158$ | $1320981^{2} \, - \, $$2990$$ \, \cdot \, 24158^{2} = 1$ |
| $2991$ | $608020462479257575$ | $11117572976350708$ | $608020462479257575^{2} \, - \, $$2991$$ \, \cdot \, 11117572976350708^{2} = 1$ |
| $2993$ | $1313$ | $24$ | $1313^{2} \, - \, $$2993$$ \, \cdot \, 24^{2} = 1$ |
| $2994$ | $3073423734187025$ | $56168980692836$ | $3073423734187025^{2} \, - \, $$2994$$ \, \cdot \, 56168980692836^{2} = 1$ |
| $2995$ | $138538497497759$ | $2531465773272$ | $138538497497759^{2} \, - \, $$2995$$ \, \cdot \, 2531465773272^{2} = 1$ |
| $2998$ | $27672421205427535850325684101$ | $505395470410258019579528970$ | $27672421205427535850325684101^{2} \, - \, $$2998$$ \, \cdot \, 505395470410258019579528970^{2} = 1$ |
| $2999$ | $416116196387217480$ | $7598474094718699$ | $416116196387217480^{2} \, - \, $$2999$$ \, \cdot \, 7598474094718699^{2} = 1$ |