﻿ Fundamental Solutions to Pell's Equation for n = 3001..4000

# Fundamental Solutions to Pell's Equation for $n = 3001 \mathinner{\ldotp\ldotp} 4000$

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
$3001$ $45295384688812281004322225610616890677451950697118754577855623785103884801$ $826839003145990640915374486441398199564121085363552711238974624844179360$ $45295384688812281004322225610616890677451950697118754577855623785103884801^{2} \, - \, $$3001$$ \, \cdot \, 826839003145990640915374486441398199564121085363552711238974624844179360^{2} = 1$
$3002$ $292143$ $5332$ $292143^{2} \, - \, $$3002$$ \, \cdot \, 5332^{2} = 1$
$3003$ $274$ $5$ $274^{2} \, - \, $$3003$$ \, \cdot \, 5^{2} = 1$
$3005$ $109627209$ $1999844$ $109627209^{2} \, - \, $$3005$$ \, \cdot \, 1999844^{2} = 1$
$3007$ $40038809408$ $730153953$ $40038809408^{2} \, - \, $$3007$$ \, \cdot \, 730153953^{2} = 1$
$3009$ $1234783508951$ $22510219340$ $1234783508951^{2} \, - \, $$3009$$ \, \cdot \, 22510219340^{2} = 1$
$3010$ $31579631$ $575604$ $31579631^{2} \, - \, $$3010$$ \, \cdot \, 575604^{2} = 1$
$3011$ $149586342603777656598640130$ $2726067254254307194188447$ $149586342603777656598640130^{2} \, - \, $$3011$$ \, \cdot \, 2726067254254307194188447^{2} = 1$
$3013$ $7710900593307374464807508351$ $140477101752503703088259280$ $7710900593307374464807508351^{2} \, - \, $$3013$$ \, \cdot \, 140477101752503703088259280^{2} = 1$
$3014$ $549$ $10$ $549^{2} \, - \, $$3014$$ \, \cdot \, 10^{2} = 1$
$3017$ $1315978715892977151$ $23958587494071520$ $1315978715892977151^{2} \, - \, $$3017$$ \, \cdot \, 23958587494071520^{2} = 1$
$3018$ $1831739126447$ $33342948716$ $1831739126447^{2} \, - \, $$3018$$ \, \cdot \, 33342948716^{2} = 1$
$3019$ $11752562541659941018442526415237539460392094825860314330$ $213895188053752098546071055592725565706690871236169789$ $11752562541659941018442526415237539460392094825860314330^{2} \, - \, $$3019$$ \, \cdot \, 213895188053752098546071055592725565706690871236169789^{2} = 1$
$3021$ $83105$ $1512$ $83105^{2} \, - \, $$3021$$ \, \cdot \, 1512^{2} = 1$
$3022$ $39309920653121065158848783$ $715080503387676916644252$ $39309920653121065158848783^{2} \, - \, $$3022$$ \, \cdot \, 715080503387676916644252^{2} = 1$
$3023$ $3024$ $55$ $3024^{2} \, - \, $$3023$$ \, \cdot \, 55^{2} = 1$
$3026$ $6051$ $110$ $6051^{2} \, - \, $$3026$$ \, \cdot \, 110^{2} = 1$
$3027$ $3026$ $55$ $3026^{2} \, - \, $$3027$$ \, \cdot \, 55^{2} = 1$
$3029$ $13867785801$ $251975020$ $13867785801^{2} \, - \, $$3029$$ \, \cdot \, 251975020^{2} = 1$
$3030$ $1211$ $22$ $1211^{2} \, - \, $$3030$$ \, \cdot \, 22^{2} = 1$
$3031$ $3311363339961862760$ $60146985826992027$ $3311363339961862760^{2} \, - \, $$3031$$ \, \cdot \, 60146985826992027^{2} = 1$
$3034$ $4055973299$ $73635510$ $4055973299^{2} \, - \, $$3034$$ \, \cdot \, 73635510^{2} = 1$
$3035$ $606$ $11$ $606^{2} \, - \, $$3035$$ \, \cdot \, 11^{2} = 1$
$3037$ $2025475112149499136094828760894883227770506355356624649$ $36753991896056214037967550797040674936227630851051060$ $2025475112149499136094828760894883227770506355356624649^{2} \, - \, $$3037$$ \, \cdot \, 36753991896056214037967550797040674936227630851051060^{2} = 1$
$3039$ $567355653318700203124$ $10291769160627327625$ $567355653318700203124^{2} \, - \, $$3039$$ \, \cdot \, 10291769160627327625^{2} = 1$
$3041$ $20537133049891296860461720054737722655310281249$ $372418808769023251700286548550077625987029000$ $20537133049891296860461720054737722655310281249^{2} \, - \, $$3041$$ \, \cdot \, 372418808769023251700286548550077625987029000^{2} = 1$
$3043$ $429778$ $7791$ $429778^{2} \, - \, $$3043$$ \, \cdot \, 7791^{2} = 1$
$3045$ $111823361$ $2026464$ $111823361^{2} \, - \, $$3045$$ \, \cdot \, 2026464^{2} = 1$
$3046$ $858084803913933646792276518543893385687827805632645$ $15547668115105561077642022265612613794549714209362$ $858084803913933646792276518543893385687827805632645^{2} \, - \, $$3046$$ \, \cdot \, 15547668115105561077642022265612613794549714209362^{2} = 1$
$3047$ $276$ $5$ $276^{2} \, - \, $$3047$$ \, \cdot \, 5^{2} = 1$
$3049$ $2510664792380069795324386798405024245032324912355903876879862308146915619981184801$ $45468436461276573746714417291922208349562231907536616332825023982269842420473480$ $2510664792380069795324386798405024245032324912355903876879862308146915619981184801^{2} \, - \, $$3049$$ \, \cdot \, 45468436461276573746714417291922208349562231907536616332825023982269842420473480^{2} = 1$
$3053$ $21090261599$ $381696840$ $21090261599^{2} \, - \, $$3053$$ \, \cdot \, 381696840^{2} = 1$
$3054$ $367499$ $6650$ $367499^{2} \, - \, $$3054$$ \, \cdot \, 6650^{2} = 1$
$3055$ $1015624$ $18375$ $1015624^{2} \, - \, $$3055$$ \, \cdot \, 18375^{2} = 1$
$3057$ $2956717664784599$ $53476396736620$ $2956717664784599^{2} \, - \, $$3057$$ \, \cdot \, 53476396736620^{2} = 1$
$3058$ $201526983840401$ $3644302882260$ $201526983840401^{2} \, - \, $$3058$$ \, \cdot \, 3644302882260^{2} = 1$
$3059$ $6863751$ $124100$ $6863751^{2} \, - \, $$3059$$ \, \cdot \, 124100^{2} = 1$
$3061$ $112530121023358898404903532500783683343457018270681330586871060096531509537062002479141495461904563645449$ $2033935240786948099791397324693815401325711604511166489710877622423387335625737233177364957449848997340$ $112530121023358898404903532500783683343457018270681330586871060096531509537062002479141495461904563645449^{2} \, - \, $$3061$$ \, \cdot \, 2033935240786948099791397324693815401325711604511166489710877622423387335625737233177364957449848997340^{2} = 1$
$3062$ $27557$ $498$ $27557^{2} \, - \, $$3062$$ \, \cdot \, 498^{2} = 1$
$3063$ $2447710449127$ $44226904484$ $2447710449127^{2} \, - \, $$3063$$ \, \cdot \, 44226904484^{2} = 1$
$3065$ $18280298581280769$ $330193139496512$ $18280298581280769^{2} \, - \, $$3065$$ \, \cdot \, 330193139496512^{2} = 1$
$3066$ $1251949$ $22610$ $1251949^{2} \, - \, $$3066$$ \, \cdot \, 22610^{2} = 1$
$3067$ $20138859064798731994238851418239777207226$ $363645296509166562391011303110863282485$ $20138859064798731994238851418239777207226^{2} \, - \, $$3067$$ \, \cdot \, 363645296509166562391011303110863282485^{2} = 1$
$3070$ $11832257143970394381611$ $213549427580319742026$ $11832257143970394381611^{2} \, - \, $$3070$$ \, \cdot \, 213549427580319742026^{2} = 1$
$3071$ $665$ $12$ $665^{2} \, - \, $$3071$$ \, \cdot \, 12^{2} = 1$
$3073$ $2776937178639512026642007078623$ $50093891973498258238271190744$ $2776937178639512026642007078623^{2} \, - \, $$3073$$ \, \cdot \, 50093891973498258238271190744^{2} = 1$
$3074$ $2519819433699$ $45448283930$ $2519819433699^{2} \, - \, $$3074$$ \, \cdot \, 45448283930^{2} = 1$
$3077$ $351595324374906249$ $6338395621785500$ $351595324374906249^{2} \, - \, $$3077$$ \, \cdot \, 6338395621785500^{2} = 1$
$3079$ $56707696356679785946525966318147373960$ $1021967678730302928114382808347749891$ $56707696356679785946525966318147373960^{2} \, - \, $$3079$$ \, \cdot \, 1021967678730302928114382808347749891^{2} = 1$
$3081$ $8215$ $148$ $8215^{2} \, - \, $$3081$$ \, \cdot \, 148^{2} = 1$
$3082$ $48832848419533613$ $879621306039882$ $48832848419533613^{2} \, - \, $$3082$$ \, \cdot \, 879621306039882^{2} = 1$
$3083$ $30280839133349026$ $545357316089235$ $30280839133349026^{2} \, - \, $$3083$$ \, \cdot \, 545357316089235^{2} = 1$
$3085$ $43444334433373805162723128385939425610569$ $782177941420621534438776335999701156284$ $43444334433373805162723128385939425610569^{2} \, - \, $$3085$$ \, \cdot \, 782177941420621534438776335999701156284^{2} = 1$
$3086$ $536433588593295$ $9656461256372$ $536433588593295^{2} \, - \, $$3086$$ \, \cdot \, 9656461256372^{2} = 1$
$3089$ $89495852564979919150002896448538279482556636803201$ $1610252401282001559195724037331914356364216763760$ $89495852564979919150002896448538279482556636803201^{2} \, - \, $$3089$$ \, \cdot \, 1610252401282001559195724037331914356364216763760^{2} = 1$
$3090$ $119069$ $2142$ $119069^{2} \, - \, $$3090$$ \, \cdot \, 2142^{2} = 1$
$3091$ $46913101361185187371233770$ $843809949632200546432167$ $46913101361185187371233770^{2} \, - \, $$3091$$ \, \cdot \, 843809949632200546432167^{2} = 1$
$3093$ $2644971939878399$ $47558824204320$ $2644971939878399^{2} \, - \, $$3093$$ \, \cdot \, 47558824204320^{2} = 1$
$3094$ $5499853978555$ $98876026314$ $5499853978555^{2} \, - \, $$3094$$ \, \cdot \, 98876026314^{2} = 1$
$3095$ $10700785269159$ $192346958132$ $10700785269159^{2} \, - \, $$3095$$ \, \cdot \, 192346958132^{2} = 1$
$3097$ $136853545181672549008645399$ $2459152432067478310676940$ $136853545181672549008645399^{2} \, - \, $$3097$$ \, \cdot \, 2459152432067478310676940^{2} = 1$
$3098$ $4979289469435566502899$ $89459541476281455770$ $4979289469435566502899^{2} \, - \, $$3098$$ \, \cdot \, 89459541476281455770^{2} = 1$
$3099$ $27890$ $501$ $27890^{2} \, - \, $$3099$$ \, \cdot \, 501^{2} = 1$
$3101$ $3932137435962837375$ $70611885084286832$ $3932137435962837375^{2} \, - \, $$3101$$ \, \cdot \, 70611885084286832^{2} = 1$
$3102$ $1093973$ $19642$ $1093973^{2} \, - \, $$3102$$ \, \cdot \, 19642^{2} = 1$
$3103$ $867667325140497045977$ $15576230136070851324$ $867667325140497045977^{2} \, - \, $$3103$$ \, \cdot \, 15576230136070851324^{2} = 1$
$3106$ $191448252305$ $3435189348$ $191448252305^{2} \, - \, $$3106$$ \, \cdot \, 3435189348^{2} = 1$
$3107$ $876466774$ $15724065$ $876466774^{2} \, - \, $$3107$$ \, \cdot \, 15724065^{2} = 1$
$3109$ $77169133353417083138281455375049$ $1383990987179785002726492017940$ $77169133353417083138281455375049^{2} \, - \, $$3109$$ \, \cdot \, 1383990987179785002726492017940^{2} = 1$
$3110$ $49346151679$ $884857008$ $49346151679^{2} \, - \, $$3110$$ \, \cdot \, 884857008^{2} = 1$
$3111$ $53560624$ $960275$ $53560624^{2} \, - \, $$3111$$ \, \cdot \, 960275^{2} = 1$
$3113$ $23067860999127$ $413445020284$ $23067860999127^{2} \, - \, $$3113$$ \, \cdot \, 413445020284^{2} = 1$
$3115$ $24178006$ $433203$ $24178006^{2} \, - \, $$3115$$ \, \cdot \, 433203^{2} = 1$
$3117$ $49912994830590161975588599351$ $894015868843226887123214940$ $49912994830590161975588599351^{2} \, - \, $$3117$$ \, \cdot \, 894015868843226887123214940^{2} = 1$
$3118$ $89237584631512807552800143$ $1598121342441062094523956$ $89237584631512807552800143^{2} \, - \, $$3118$$ \, \cdot \, 1598121342441062094523956^{2} = 1$
$3119$ $4301661990659037864538421520$ $77024448015800300081493511$ $4301661990659037864538421520^{2} \, - \, $$3119$$ \, \cdot \, 77024448015800300081493511^{2} = 1$
$3121$ $317804319619201$ $5688698430480$ $317804319619201^{2} \, - \, $$3121$$ \, \cdot \, 5688698430480^{2} = 1$
$3122$ $447$ $8$ $447^{2} \, - \, $$3122$$ \, \cdot \, 8^{2} = 1$
$3126$ $1486438520792165$ $26585967200418$ $1486438520792165^{2} \, - \, $$3126$$ \, \cdot \, 26585967200418^{2} = 1$
$3127$ $403846704642599$ $7221918828180$ $403846704642599^{2} \, - \, $$3127$$ \, \cdot \, 7221918828180^{2} = 1$
$3129$ $895$ $16$ $895^{2} \, - \, $$3129$$ \, \cdot \, 16^{2} = 1$
$3130$ $627179433933050412499$ $11210362081696634850$ $627179433933050412499^{2} \, - \, $$3130$$ \, \cdot \, 11210362081696634850^{2} = 1$
$3131$ $85346621049$ $1525263220$ $85346621049^{2} \, - \, $$3131$$ \, \cdot \, 1525263220^{2} = 1$
$3133$ $288383529450973834879765770615753456649$ $5152170840138681288977055501228464820$ $288383529450973834879765770615753456649^{2} \, - \, $$3133$$ \, \cdot \, 5152170840138681288977055501228464820^{2} = 1$
$3134$ $3135$ $56$ $3135^{2} \, - \, $$3134$$ \, \cdot \, 56^{2} = 1$
$3135$ $56$ $1$ $56^{2} \, - \, $$3135$$ \, \cdot \, 1^{2} = 1$
$3137$ $6273$ $112$ $6273^{2} \, - \, $$3137$$ \, \cdot \, 112^{2} = 1$
$3138$ $3137$ $56$ $3137^{2} \, - \, $$3138$$ \, \cdot \, 56^{2} = 1$
$3139$ $415029507064295362010$ $7407698821274160879$ $415029507064295362010^{2} \, - \, $$3139$$ \, \cdot \, 7407698821274160879^{2} = 1$
$3142$ $669207511031237499832901$ $11938718615110690961070$ $669207511031237499832901^{2} \, - \, $$3142$$ \, \cdot \, 11938718615110690961070^{2} = 1$
$3143$ $897$ $16$ $897^{2} \, - \, $$3143$$ \, \cdot \, 16^{2} = 1$
$3145$ $3616884957963397249$ $64494751019808720$ $3616884957963397249^{2} \, - \, $$3145$$ \, \cdot \, 64494751019808720^{2} = 1$
$3147$ $27921194970602$ $497720615843$ $27921194970602^{2} \, - \, $$3147$$ \, \cdot \, 497720615843^{2} = 1$
$3149$ $1248601441976935941472695$ $22250383556353663872124$ $1248601441976935941472695^{2} \, - \, $$3149$$ \, \cdot \, 22250383556353663872124^{2} = 1$
$3151$ $47283258454664108425083440$ $842331798900203480514057$ $47283258454664108425083440^{2} \, - \, $$3151$$ \, \cdot \, 842331798900203480514057^{2} = 1$
$3153$ $18970729627847767$ $337848542050036$ $18970729627847767^{2} \, - \, $$3153$$ \, \cdot \, 337848542050036^{2} = 1$
$3154$ $3419175201199711490262545$ $60882224255870719804284$ $3419175201199711490262545^{2} \, - \, $$3154$$ \, \cdot \, 60882224255870719804284^{2} = 1$
$3155$ $72854760249$ $1297054580$ $72854760249^{2} \, - \, $$3155$$ \, \cdot \, 1297054580^{2} = 1$
$3157$ $88425666563849$ $1573769235420$ $88425666563849^{2} \, - \, $$3157$$ \, \cdot \, 1573769235420^{2} = 1$
$3158$ $8213957$ $146166$ $8213957^{2} \, - \, $$3158$$ \, \cdot \, 146166^{2} = 1$
$3161$ $10567749148449$ $187962082360$ $10567749148449^{2} \, - \, $$3161$$ \, \cdot \, 187962082360^{2} = 1$
$3162$ $62867$ $1118$ $62867^{2} \, - \, $$3162$$ \, \cdot \, 1118^{2} = 1$
$3163$ $13829524802$ $245899509$ $13829524802^{2} \, - \, $$3163$$ \, \cdot \, 245899509^{2} = 1$
$3165$ $6751$ $120$ $6751^{2} \, - \, $$3165$$ \, \cdot \, 120^{2} = 1$
$3166$ $614084477747659775$ $10913716410016992$ $614084477747659775^{2} \, - \, $$3166$$ \, \cdot \, 10913716410016992^{2} = 1$
$3167$ $7717095408$ $137129167$ $7717095408^{2} \, - \, $$3167$$ \, \cdot \, 137129167^{2} = 1$
$3169$ $3679152893457662761323580680295959204573920976260949003883472195854258000500001$ $65356188464460261805058551772875990742920247280140668199515487179950041673000$ $3679152893457662761323580680295959204573920976260949003883472195854258000500001^{2} \, - \, $$3169$$ \, \cdot \, 65356188464460261805058551772875990742920247280140668199515487179950041673000^{2} = 1$
$3170$ $75325539$ $1337866$ $75325539^{2} \, - \, $$3170$$ \, \cdot \, 1337866^{2} = 1$
$3171$ $1856026465$ $32959912$ $1856026465^{2} \, - \, $$3171$$ \, \cdot \, 32959912^{2} = 1$
$3173$ $2413151$ $42840$ $2413151^{2} \, - \, $$3173$$ \, \cdot \, 42840^{2} = 1$
$3178$ $1572054481606573$ $27886284036474$ $1572054481606573^{2} \, - \, $$3178$$ \, \cdot \, 27886284036474^{2} = 1$
$3181$ $159049$ $2820$ $159049^{2} \, - \, $$3181$$ \, \cdot \, 2820^{2} = 1$
$3182$ $80463946251$ $1426432550$ $80463946251^{2} \, - \, $$3182$$ \, \cdot \, 1426432550^{2} = 1$
$3183$ $3533793124$ $62635825$ $3533793124^{2} \, - \, $$3183$$ \, \cdot \, 62635825^{2} = 1$
$3187$ $33518724973599159805322963185226$ $593740205304452435439318600585$ $33518724973599159805322963185226^{2} \, - \, $$3187$$ \, \cdot \, 593740205304452435439318600585^{2} = 1$
$3189$ $110897063235595249339381958198427895$ $1963779787797964047747540004659996$ $110897063235595249339381958198427895^{2} \, - \, $$3189$$ \, \cdot \, 1963779787797964047747540004659996^{2} = 1$
$3190$ $50056379$ $886266$ $50056379^{2} \, - \, $$3190$$ \, \cdot \, 886266^{2} = 1$
$3191$ $2732882641389714120$ $48379077178268683$ $2732882641389714120^{2} \, - \, $$3191$$ \, \cdot \, 48379077178268683^{2} = 1$
$3193$ $4053228630090230563044843848239999$ $71730134036988504056228878450800$ $4053228630090230563044843848239999^{2} \, - \, $$3193$$ \, \cdot \, 71730134036988504056228878450800^{2} = 1$
$3194$ $39080932091202864799204026211251$ $691508395711244410187277652550$ $39080932091202864799204026211251^{2} \, - \, $$3194$$ \, \cdot \, 691508395711244410187277652550^{2} = 1$
$3197$ $160127$ $2832$ $160127^{2} \, - \, $$3197$$ \, \cdot \, 2832^{2} = 1$
$3198$ $65599$ $1160$ $65599^{2} \, - \, $$3198$$ \, \cdot \, 1160^{2} = 1$
$3199$ $14583769822945$ $257847355224$ $14583769822945^{2} \, - \, $$3199$$ \, \cdot \, 257847355224^{2} = 1$
$3201$ $9505$ $168$ $9505^{2} \, - \, $$3201$$ \, \cdot \, 168^{2} = 1$
$3202$ $5385763$ $95178$ $5385763^{2} \, - \, $$3202$$ \, \cdot \, 95178^{2} = 1$
$3203$ $3010285326252238226$ $53189902261677345$ $3010285326252238226^{2} \, - \, $$3203$$ \, \cdot \, 53189902261677345^{2} = 1$
$3205$ $116874155559392009$ $2064450476131524$ $116874155559392009^{2} \, - \, $$3205$$ \, \cdot \, 2064450476131524^{2} = 1$
$3206$ $134566757499$ $2376599650$ $134566757499^{2} \, - \, $$3206$$ \, \cdot \, 2376599650^{2} = 1$
$3207$ $21975296167$ $388047828$ $21975296167^{2} \, - \, $$3207$$ \, \cdot \, 388047828^{2} = 1$
$3209$ $2778809497562966152301116832629054418049$ $49053942312387915305532411773665078640$ $2778809497562966152301116832629054418049^{2} \, - \, $$3209$$ \, \cdot \, 49053942312387915305532411773665078640^{2} = 1$
$3210$ $5779$ $102$ $5779^{2} \, - \, $$3210$$ \, \cdot \, 102^{2} = 1$
$3214$ $2722742634151186538759112460772073211555627478218895$ $48026800531883793826480891758974237154019847745804$ $2722742634151186538759112460772073211555627478218895^{2} \, - \, $$3214$$ \, \cdot \, 48026800531883793826480891758974237154019847745804^{2} = 1$
$3215$ $122102241535124$ $2153441846145$ $122102241535124^{2} \, - \, $$3215$$ \, \cdot \, 2153441846145^{2} = 1$
$3217$ $5560255030321166451412373466331342083953713002443836653914008091492353$ $98032297562145168108715817784342188210852197832334447264192380984832$ $5560255030321166451412373466331342083953713002443836653914008091492353^{2} \, - \, $$3217$$ \, \cdot \, 98032297562145168108715817784342188210852197832334447264192380984832^{2} = 1$
$3218$ $389377$ $6864$ $389377^{2} \, - \, $$3218$$ \, \cdot \, 6864^{2} = 1$
$3219$ $19574$ $345$ $19574^{2} \, - \, $$3219$$ \, \cdot \, 345^{2} = 1$
$3221$ $1260149661702720901449$ $22203772288655606740$ $1260149661702720901449^{2} \, - \, $$3221$$ \, \cdot \, 22203772288655606740^{2} = 1$
$3223$ $218562859075276$ $3849871290915$ $218562859075276^{2} \, - \, $$3223$$ \, \cdot \, 3849871290915^{2} = 1$
$3226$ $750414719494283246397205120254318218151792499$ $13212018181828836780205130200002950077261050$ $750414719494283246397205120254318218151792499^{2} \, - \, $$3226$$ \, \cdot \, 13212018181828836780205130200002950077261050^{2} = 1$
$3227$ $33358422$ $587227$ $33358422^{2} \, - \, $$3227$$ \, \cdot \, 587227^{2} = 1$
$3229$ $122984283651747456322071519797449$ $2164290700243515993131946058620$ $122984283651747456322071519797449^{2} \, - \, $$3229$$ \, \cdot \, 2164290700243515993131946058620^{2} = 1$
$3230$ $341$ $6$ $341^{2} \, - \, $$3230$$ \, \cdot \, 6^{2} = 1$
$3233$ $2270052042753$ $39923900224$ $2270052042753^{2} \, - \, $$3233$$ \, \cdot \, 39923900224^{2} = 1$
$3235$ $8969825050006492148446$ $157705496496673927983$ $8969825050006492148446^{2} \, - \, $$3235$$ \, \cdot \, 157705496496673927983^{2} = 1$
$3237$ $631605599$ $11101320$ $631605599^{2} \, - \, $$3237$$ \, \cdot \, 11101320^{2} = 1$
$3238$ $333646757$ $5863386$ $333646757^{2} \, - \, $$3238$$ \, \cdot \, 5863386^{2} = 1$
$3239$ $115402204680$ $2027723021$ $115402204680^{2} \, - \, $$3239$$ \, \cdot \, 2027723021^{2} = 1$
$3241$ $25417969077448458815476572185794315237855$ $446479302968989604177028852651508804392$ $25417969077448458815476572185794315237855^{2} \, - \, $$3241$$ \, \cdot \, 446479302968989604177028852651508804392^{2} = 1$
$3242$ $1922913461043$ $33771724238$ $1922913461043^{2} \, - \, $$3242$$ \, \cdot \, 33771724238^{2} = 1$
$3243$ $1082$ $19$ $1082^{2} \, - \, $$3243$$ \, \cdot \, 19^{2} = 1$
$3245$ $92511$ $1624$ $92511^{2} \, - \, $$3245$$ \, \cdot \, 1624^{2} = 1$
$3246$ $2165$ $38$ $2165^{2} \, - \, $$3246$$ \, \cdot \, 38^{2} = 1$
$3247$ $3248$ $57$ $3248^{2} \, - \, $$3247$$ \, \cdot \, 57^{2} = 1$
$3251$ $3250$ $57$ $3250^{2} \, - \, $$3251$$ \, \cdot \, 57^{2} = 1$
$3253$ $17179906249$ $301216500$ $17179906249^{2} \, - \, $$3253$$ \, \cdot \, 301216500^{2} = 1$
$3254$ $4910804185196699146565$ $86088242748021944166$ $4910804185196699146565^{2} \, - \, $$3254$$ \, \cdot \, 86088242748021944166^{2} = 1$
$3255$ $1084$ $19$ $1084^{2} \, - \, $$3255$$ \, \cdot \, 19^{2} = 1$
$3257$ $346283704784493109167747146058479649$ $6067687087240290895583870274028760$ $346283704784493109167747146058479649^{2} \, - \, $$3257$$ \, \cdot \, 6067687087240290895583870274028760^{2} = 1$
$3259$ $1204412859964726884213844443965680238889984046218177821690$ $21097607271952384696890088342203142603326873550532163819$ $1204412859964726884213844443965680238889984046218177821690^{2} \, - \, $$3259$$ \, \cdot \, 21097607271952384696890088342203142603326873550532163819^{2} = 1$
$3261$ $638642935$ $11183628$ $638642935^{2} \, - \, $$3261$$ \, \cdot \, 11183628^{2} = 1$
$3262$ $20358143$ $356448$ $20358143^{2} \, - \, $$3262$$ \, \cdot \, 356448^{2} = 1$
$3263$ $36325223$ $635916$ $36325223^{2} \, - \, $$3263$$ \, \cdot \, 635916^{2} = 1$
$3265$ $9575461424630823263024160399677569$ $167578430354078047294555152828528$ $9575461424630823263024160399677569^{2} \, - \, $$3265$$ \, \cdot \, 167578430354078047294555152828528^{2} = 1$
$3266$ $7214595$ $126242$ $7214595^{2} \, - \, $$3266$$ \, \cdot \, 126242^{2} = 1$
$3269$ $336700953497605016375$ $5888936697884478036$ $336700953497605016375^{2} \, - \, $$3269$$ \, \cdot \, 5888936697884478036^{2} = 1$
$3270$ $9900251$ $173130$ $9900251^{2} \, - \, $$3270$$ \, \cdot \, 173130^{2} = 1$
$3271$ $1619748307207664426365321779196104474376957858283720$ $28320913834308047704854247400637268662485889692637$ $1619748307207664426365321779196104474376957858283720^{2} \, - \, $$3271$$ \, \cdot \, 28320913834308047704854247400637268662485889692637^{2} = 1$
$3273$ $8589741784055686372536599$ $150143697253183208387540$ $8589741784055686372536599^{2} \, - \, $$3273$$ \, \cdot \, 150143697253183208387540^{2} = 1$
$3274$ $987580336836430872829983276950863699$ $17259694200451072315048187323977930$ $987580336836430872829983276950863699^{2} \, - \, $$3274$$ \, \cdot \, 17259694200451072315048187323977930^{2} = 1$
$3277$ $127974065390671119118297484409778666249$ $2235546696089899238583819312637670700$ $127974065390671119118297484409778666249^{2} \, - \, $$3277$$ \, \cdot \, 2235546696089899238583819312637670700^{2} = 1$
$3278$ $31864843$ $556554$ $31864843^{2} \, - \, $$3278$$ \, \cdot \, 556554^{2} = 1$
$3279$ $635722350398965465$ $11101886220126884$ $635722350398965465^{2} \, - \, $$3279$$ \, \cdot \, 11101886220126884^{2} = 1$
$3281$ $4101249$ $71600$ $4101249^{2} \, - \, $$3281$$ \, \cdot \, 71600^{2} = 1$
$3282$ $14792397377$ $258207752$ $14792397377^{2} \, - \, $$3282$$ \, \cdot \, 258207752^{2} = 1$
$3286$ $2814651859822045595$ $49101064282705422$ $2814651859822045595^{2} \, - \, $$3286$$ \, \cdot \, 49101064282705422^{2} = 1$
$3287$ $172$ $3$ $172^{2} \, - \, $$3287$$ \, \cdot \, 3^{2} = 1$
$3289$ $9688573605499877375$ $168938217003261504$ $9688573605499877375^{2} \, - \, $$3289$$ \, \cdot \, 168938217003261504^{2} = 1$
$3290$ $1848321$ $32224$ $1848321^{2} \, - \, $$3290$$ \, \cdot \, 32224^{2} = 1$
$3291$ $17679304830821210$ $308177723658267$ $17679304830821210^{2} \, - \, $$3291$$ \, \cdot \, 308177723658267^{2} = 1$
$3293$ $1113033$ $19396$ $1113033^{2} \, - \, $$3293$$ \, \cdot \, 19396^{2} = 1$
$3295$ $1769497877159$ $30826366428$ $1769497877159^{2} \, - \, $$3295$$ \, \cdot \, 30826366428^{2} = 1$
$3297$ $4723844887$ $82268988$ $4723844887^{2} \, - \, $$3297$$ \, \cdot \, 82268988^{2} = 1$
$3298$ $161603$ $2814$ $161603^{2} \, - \, $$3298$$ \, \cdot \, 2814^{2} = 1$
$3299$ $302737810995911463388788050$ $5270787515411221348440849$ $302737810995911463388788050^{2} \, - \, $$3299$$ \, \cdot \, 5270787515411221348440849^{2} = 1$
$3301$ $5142697475385386685289187174530393801$ $89509311190860097155540385627045740$ $5142697475385386685289187174530393801^{2} \, - \, $$3301$$ \, \cdot \, 89509311190860097155540385627045740^{2} = 1$
$3302$ $16776447$ $291952$ $16776447^{2} \, - \, $$3302$$ \, \cdot \, 291952^{2} = 1$
$3305$ $5289$ $92$ $5289^{2} \, - \, $$3305$$ \, \cdot \, 92^{2} = 1$
$3306$ $115$ $2$ $115^{2} \, - \, $$3306$$ \, \cdot \, 2^{2} = 1$
$3307$ $104208463620296419822015562$ $1812115585135932718393107$ $104208463620296419822015562^{2} \, - \, $$3307$$ \, \cdot \, 1812115585135932718393107^{2} = 1$
$3309$ $8309349191458434465841535$ $144450359334108542937456$ $8309349191458434465841535^{2} \, - \, $$3309$$ \, \cdot \, 144450359334108542937456^{2} = 1$
$3310$ $5430216369781$ $94385034246$ $5430216369781^{2} \, - \, $$3310$$ \, \cdot \, 94385034246^{2} = 1$
$3311$ $11239425$ $195328$ $11239425^{2} \, - \, $$3311$$ \, \cdot \, 195328^{2} = 1$
$3313$ $3685675113245512376543102238770368200726192730064006996280001822849$ $64033366076938119044927701134973013709865177455727990600085692560$ $3685675113245512376543102238770368200726192730064006996280001822849^{2} \, - \, $$3313$$ \, \cdot \, 64033366076938119044927701134973013709865177455727990600085692560^{2} = 1$
$3314$ $6245602902051$ $108492100130$ $6245602902051^{2} \, - \, $$3314$$ \, \cdot \, 108492100130^{2} = 1$
$3315$ $12494$ $217$ $12494^{2} \, - \, $$3315$$ \, \cdot \, 217^{2} = 1$
$3317$ $71980098399$ $1249797640$ $71980098399^{2} \, - \, $$3317$$ \, \cdot \, 1249797640^{2} = 1$
$3318$ $27649$ $480$ $27649^{2} \, - \, $$3318$$ \, \cdot \, 480^{2} = 1$
$3319$ $671622868694618180588582864545538521992490143004912760$ $11657940896472359625043172719821996271285480583681739$ $671622868694618180588582864545538521992490143004912760^{2} \, - \, $$3319$$ \, \cdot \, 11657940896472359625043172719821996271285480583681739^{2} = 1$
$3322$ $411003583823359999$ $7130923784923200$ $411003583823359999^{2} \, - \, $$3322$$ \, \cdot \, 7130923784923200^{2} = 1$
$3323$ $585733464128762$ $10160962912971$ $585733464128762^{2} \, - \, $$3323$$ \, \cdot \, 10160962912971^{2} = 1$
$3326$ $1494797672868137785177365350655$ $25919181962970690309154678832$ $1494797672868137785177365350655^{2} \, - \, $$3326$$ \, \cdot \, 25919181962970690309154678832^{2} = 1$
$3327$ $4650844441828$ $80631625177$ $4650844441828^{2} \, - \, $$3327$$ \, \cdot \, 80631625177^{2} = 1$
$3329$ $1055645734089062190249960388602447740969119590759201$ $18296216870912253973171949333084823317324281855640$ $1055645734089062190249960388602447740969119590759201^{2} \, - \, $$3329$$ \, \cdot \, 18296216870912253973171949333084823317324281855640^{2} = 1$
$3331$ $3896641929395876391261634122890971172755584821846810$ $67515452551331189136816152107604558605530293860977$ $3896641929395876391261634122890971172755584821846810^{2} \, - \, $$3331$$ \, \cdot \, 67515452551331189136816152107604558605530293860977^{2} = 1$
$3333$ $3233$ $56$ $3233^{2} \, - \, $$3333$$ \, \cdot \, 56^{2} = 1$
$3334$ $236615826048429494541160021116112041696922702648911365765$ $4097896556739353134495729190353304459906567382400709406$ $236615826048429494541160021116112041696922702648911365765^{2} \, - \, $$3334$$ \, \cdot \, 4097896556739353134495729190353304459906567382400709406^{2} = 1$
$3335$ $231$ $4$ $231^{2} \, - \, $$3335$$ \, \cdot \, 4^{2} = 1$
$3337$ $998694953458090630415131953887$ $17288398001052909929888104392$ $998694953458090630415131953887^{2} \, - \, $$3337$$ \, \cdot \, 17288398001052909929888104392^{2} = 1$
$3338$ $22533245166483$ $390014340326$ $22533245166483^{2} \, - \, $$3338$$ \, \cdot \, 390014340326^{2} = 1$
$3341$ $291332046263049$ $5040226128980$ $291332046263049^{2} \, - \, $$3341$$ \, \cdot \, 5040226128980^{2} = 1$
$3342$ $388596986507$ $6721964362$ $388596986507^{2} \, - \, $$3342$$ \, \cdot \, 6721964362^{2} = 1$
$3343$ $9959233904911272726432090224$ $172249410447645778961383785$ $9959233904911272726432090224^{2} \, - \, $$3343$$ \, \cdot \, 172249410447645778961383785^{2} = 1$
$3345$ $11213581593641$ $193885926548$ $11213581593641^{2} \, - \, $$3345$$ \, \cdot \, 193885926548^{2} = 1$
$3346$ $1734673949$ $29988510$ $1734673949^{2} \, - \, $$3346$$ \, \cdot \, 29988510^{2} = 1$
$3347$ $282187124940320162$ $4877635451882313$ $282187124940320162^{2} \, - \, $$3347$$ \, \cdot \, 4877635451882313^{2} = 1$
$3349$ $142104511125001$ $2455558534500$ $142104511125001^{2} \, - \, $$3349$$ \, \cdot \, 2455558534500^{2} = 1$
$3351$ $10116951813786265$ $174768221838268$ $10116951813786265^{2} \, - \, $$3351$$ \, \cdot \, 174768221838268^{2} = 1$
$3353$ $95745284209059341023$ $1653486357184429176$ $95745284209059341023^{2} \, - \, $$3353$$ \, \cdot \, 1653486357184429176^{2} = 1$
$3354$ $16776449$ $289680$ $16776449^{2} \, - \, $$3354$$ \, \cdot \, 289680^{2} = 1$
$3355$ $744782306489$ $12858286212$ $744782306489^{2} \, - \, $$3355$$ \, \cdot \, 12858286212^{2} = 1$
$3358$ $646530047$ $11157024$ $646530047^{2} \, - \, $$3358$$ \, \cdot \, 11157024^{2} = 1$
$3359$ $1497900757074978480$ $25845089375902831$ $1497900757074978480^{2} \, - \, $$3359$$ \, \cdot \, 25845089375902831^{2} = 1$
$3361$ $34697360994023414272643936539085250317347207718188064124683228060642250955380076856449$ $598497290080028851437909342674603877627188438470616048169340660598265658513354084560$ $34697360994023414272643936539085250317347207718188064124683228060642250955380076856449^{2} \, - \, $$3361$$ \, \cdot \, 598497290080028851437909342674603877627188438470616048169340660598265658513354084560^{2} = 1$
$3363$ $58$ $1$ $58^{2} \, - \, $$3363$$ \, \cdot \, 1^{2} = 1$
$3365$ $6729$ $116$ $6729^{2} \, - \, $$3365$$ \, \cdot \, 116^{2} = 1$
$3367$ $9996473852$ $172276197$ $9996473852^{2} \, - \, $$3367$$ \, \cdot \, 172276197^{2} = 1$
$3369$ $5316859750044758219972234864466775$ $91601945799309592922001778259164$ $5316859750044758219972234864466775^{2} \, - \, $$3369$$ \, \cdot \, 91601945799309592922001778259164^{2} = 1$
$3370$ $29437297820350017030739$ $507087600624796986726$ $29437297820350017030739^{2} \, - \, $$3370$$ \, \cdot \, 507087600624796986726^{2} = 1$
$3371$ $55846732060951888439150748713330$ $961874449605786830417793468963$ $55846732060951888439150748713330^{2} \, - \, $$3371$$ \, \cdot \, 961874449605786830417793468963^{2} = 1$
$3373$ $78957764296713543124382928379165086379849$ $1359523353317930792183405843939949287940$ $78957764296713543124382928379165086379849^{2} \, - \, $$3373$$ \, \cdot \, 1359523353317930792183405843939949287940^{2} = 1$
$3374$ $129654725775$ $2232111124$ $129654725775^{2} \, - \, $$3374$$ \, \cdot \, 2232111124^{2} = 1$
$3377$ $35191258971351$ $605576862740$ $35191258971351^{2} \, - \, $$3377$$ \, \cdot \, 605576862740^{2} = 1$
$3378$ $18480771137$ $317973016$ $18480771137^{2} \, - \, $$3378$$ \, \cdot \, 317973016^{2} = 1$
$3379$ $13951$ $240$ $13951^{2} \, - \, $$3379$$ \, \cdot \, 240^{2} = 1$
$3382$ $39288180198711355397$ $675577397947057962$ $39288180198711355397^{2} \, - \, $$3382$$ \, \cdot \, 675577397947057962^{2} = 1$
$3383$ $29500467048$ $507198421$ $29500467048^{2} \, - \, $$3383$$ \, \cdot \, 507198421^{2} = 1$
$3385$ $29207994172692033261442077977629229569$ $502021592217200345395820470125496224$ $29207994172692033261442077977629229569^{2} \, - \, $$3385$$ \, \cdot \, 502021592217200345395820470125496224^{2} = 1$
$3386$ $554906703542514135699$ $9536225111580670990$ $554906703542514135699^{2} \, - \, $$3386$$ \, \cdot \, 9536225111580670990^{2} = 1$
$3387$ $28226$ $485$ $28226^{2} \, - \, $$3387$$ \, \cdot \, 485^{2} = 1$
$3389$ $2025879317643314695804354403512155070792806463167475068719829576201$ $34799883198891901511589623438774059664527458949190838538402321460$ $2025879317643314695804354403512155070792806463167475068719829576201^{2} \, - \, $$3389$$ \, \cdot \, 34799883198891901511589623438774059664527458949190838538402321460^{2} = 1$
$3390$ $2610751$ $44840$ $2610751^{2} \, - \, $$3390$$ \, \cdot \, 44840^{2} = 1$
$3391$ $194373815123600$ $3337904170017$ $194373815123600^{2} \, - \, $$3391$$ \, \cdot \, 3337904170017^{2} = 1$
$3394$ $3261635$ $55986$ $3261635^{2} \, - \, $$3394$$ \, \cdot \, 55986^{2} = 1$
$3395$ $874$ $15$ $874^{2} \, - \, $$3395$$ \, \cdot \, 15^{2} = 1$
$3397$ $399971802557300343069408634231670310852151$ $6862488059950073951605972931289226390380$ $399971802557300343069408634231670310852151^{2} \, - \, $$3397$$ \, \cdot \, 6862488059950073951605972931289226390380^{2} = 1$
$3398$ $138642382622501$ $2378396877450$ $138642382622501^{2} \, - \, $$3398$$ \, \cdot \, 2378396877450^{2} = 1$
$3399$ $61799$ $1060$ $61799^{2} \, - \, $$3399$$ \, \cdot \, 1060^{2} = 1$
$3401$ $8673679027156844951$ $148730497589775180$ $8673679027156844951^{2} \, - \, $$3401$$ \, \cdot \, 148730497589775180^{2} = 1$
$3403$ $30626$ $525$ $30626^{2} \, - \, $$3403$$ \, \cdot \, 525^{2} = 1$
$3405$ $115004176001$ $1970856720$ $115004176001^{2} \, - \, $$3405$$ \, \cdot \, 1970856720^{2} = 1$
$3406$ $18929280576688880627488949$ $324348420033304126291290$ $18929280576688880627488949^{2} \, - \, $$3406$$ \, \cdot \, 324348420033304126291290^{2} = 1$
$3407$ $4865533602904128$ $83357447869687$ $4865533602904128^{2} \, - \, $$3407$$ \, \cdot \, 83357447869687^{2} = 1$
$3409$ $594639079481835048963894973157738726206975$ $10184505496055263036236784266291467254944$ $594639079481835048963894973157738726206975^{2} \, - \, $$3409$$ \, \cdot \, 10184505496055263036236784266291467254944^{2} = 1$
$3410$ $406781$ $6966$ $406781^{2} \, - \, $$3410$$ \, \cdot \, 6966^{2} = 1$
$3413$ $68556569829513$ $1173494168444$ $68556569829513^{2} \, - \, $$3413$$ \, \cdot \, 1173494168444^{2} = 1$
$3414$ $2427794027045$ $41550866046$ $2427794027045^{2} \, - \, $$3414$$ \, \cdot \, 41550866046^{2} = 1$
$3415$ $78512712190892616124$ $1343521516780691715$ $78512712190892616124^{2} \, - \, $$3415$$ \, \cdot \, 1343521516780691715^{2} = 1$
$3417$ $313721469463$ $5366878348$ $313721469463^{2} \, - \, $$3417$$ \, \cdot \, 5366878348^{2} = 1$
$3418$ $22663306463257308418522220249647819180723$ $387647727497722818943878243977380080714$ $22663306463257308418522220249647819180723^{2} \, - \, $$3418$$ \, \cdot \, 387647727497722818943878243977380080714^{2} = 1$
$3419$ $2105$ $36$ $2105^{2} \, - \, $$3419$$ \, \cdot \, 36^{2} = 1$
$3421$ $103190693254199$ $1764265708860$ $103190693254199^{2} \, - \, $$3421$$ \, \cdot \, 1764265708860^{2} = 1$
$3422$ $117$ $2$ $117^{2} \, - \, $$3422$$ \, \cdot \, 2^{2} = 1$
$3423$ $9127$ $156$ $9127^{2} \, - \, $$3423$$ \, \cdot \, 156^{2} = 1$
$3426$ $8600487251171345$ $146936393859732$ $8600487251171345^{2} \, - \, $$3426$$ \, \cdot \, 146936393859732^{2} = 1$
$3427$ $1777425688828702$ $30362281359567$ $1777425688828702^{2} \, - \, $$3427$$ \, \cdot \, 30362281359567^{2} = 1$
$3431$ $152009690466840$ $2595140740627$ $152009690466840^{2} \, - \, $$3431$$ \, \cdot \, 2595140740627^{2} = 1$
$3433$ $1252011604683267713959370221647128213120741942509099249332682753$ $21368372832050975687517694454202535421343090669794647676807424$ $1252011604683267713959370221647128213120741942509099249332682753^{2} \, - \, $$3433$$ \, \cdot \, 21368372832050975687517694454202535421343090669794647676807424^{2} = 1$
$3434$ $171699$ $2930$ $171699^{2} \, - \, $$3434$$ \, \cdot \, 2930^{2} = 1$
$3435$ $28168831$ $480624$ $28168831^{2} \, - \, $$3435$$ \, \cdot \, 480624^{2} = 1$
$3437$ $62847$ $1072$ $62847^{2} \, - \, $$3437$$ \, \cdot \, 1072^{2} = 1$
$3439$ $166547536185241475548820$ $2840024747575865940879$ $166547536185241475548820^{2} \, - \, $$3439$$ \, \cdot \, 2840024747575865940879^{2} = 1$
$3441$ $267881542976921815$ $4566678685766508$ $267881542976921815^{2} \, - \, $$3441$$ \, \cdot \, 4566678685766508^{2} = 1$
$3442$ $30977$ $528$ $30977^{2} \, - \, $$3442$$ \, \cdot \, 528^{2} = 1$
$3443$ $5633$ $96$ $5633^{2} \, - \, $$3443$$ \, \cdot \, 96^{2} = 1$
$3445$ $7709942385047254810249$ $131357997608733177660$ $7709942385047254810249^{2} \, - \, $$3445$$ \, \cdot \, 131357997608733177660^{2} = 1$
$3446$ $450689392711391613799535862435685$ $7677497791956132253879913556738$ $450689392711391613799535862435685^{2} \, - \, $$3446$$ \, \cdot \, 7677497791956132253879913556738^{2} = 1$
$3449$ $831971454850853561689348013000077935830049$ $14166475948187018448148684826586736540760$ $831971454850853561689348013000077935830049^{2} \, - \, $$3449$$ \, \cdot \, 14166475948187018448148684826586736540760^{2} = 1$
$3451$ $37133901874$ $632117925$ $37133901874^{2} \, - \, $$3451$$ \, \cdot \, 632117925^{2} = 1$
$3453$ $6519470292849447359999$ $110946606104576642400$ $6519470292849447359999^{2} \, - \, $$3453$$ \, \cdot \, 110946606104576642400^{2} = 1$
$3454$ $659260423189420118549$ $11217493803062294010$ $659260423189420118549^{2} \, - \, $$3454$$ \, \cdot \, 11217493803062294010^{2} = 1$
$3455$ $303107835035289$ $5156715084812$ $303107835035289^{2} \, - \, $$3455$$ \, \cdot \, 5156715084812^{2} = 1$
$3457$ $5363800619696485448406109629394636138021218287584613293987873$ $91226904008633359722410807407673701889733568887190915998648$ $5363800619696485448406109629394636138021218287584613293987873^{2} \, - \, $$3457$$ \, \cdot \, 91226904008633359722410807407673701889733568887190915998648^{2} = 1$
$3458$ $12349$ $210$ $12349^{2} \, - \, $$3458$$ \, \cdot \, 210^{2} = 1$
$3459$ $130275517970$ $2215070369$ $130275517970^{2} \, - \, $$3459$$ \, \cdot \, 2215070369^{2} = 1$
$3461$ $210615602840920665161563259743425801$ $3580055355422479127286662267505340$ $210615602840920665161563259743425801^{2} \, - \, $$3461$$ \, \cdot \, 3580055355422479127286662267505340^{2} = 1$
$3462$ $1108993$ $18848$ $1108993^{2} \, - \, $$3462$$ \, \cdot \, 18848^{2} = 1$
$3463$ $11158046953686281707278348968$ $189610305883458015180867261$ $11158046953686281707278348968^{2} \, - \, $$3463$$ \, \cdot \, 189610305883458015180867261^{2} = 1$
$3466$ $144743603600415407551405005888138920709357228205753829299$ $2458584286643034825373247415388189481205370995043794270$ $144743603600415407551405005888138920709357228205753829299^{2} \, - \, $$3466$$ \, \cdot \, 2458584286643034825373247415388189481205370995043794270^{2} = 1$
$3467$ $823040793857921378482$ $13977980833586115213$ $823040793857921378482^{2} \, - \, $$3467$$ \, \cdot \, 13977980833586115213^{2} = 1$
$3469$ $69064617233461095705502618958276098458812682946789125635506295686486580975895811181872804933779895541138006805001$ $1172609637619549250147685858847969754153347230761855152360955649674561415030908604430256954096715165116539416300$ $69064617233461095705502618958276098458812682946789125635506295686486580975895811181872804933779895541138006805001^{2} \, - \, $$3469$$ \, \cdot \, 1172609637619549250147685858847969754153347230761855152360955649674561415030908604430256954096715165116539416300^{2} = 1$
$3470$ $163296811$ $2772126$ $163296811^{2} \, - \, $$3470$$ \, \cdot \, 2772126^{2} = 1$
$3471$ $196600$ $3337$ $196600^{2} \, - \, $$3471$$ \, \cdot \, 3337^{2} = 1$
$3473$ $3482344328221151$ $59090725143240$ $3482344328221151^{2} \, - \, $$3473$$ \, \cdot \, 59090725143240^{2} = 1$
$3477$ $102601$ $1740$ $102601^{2} \, - \, $$3477$$ \, \cdot \, 1740^{2} = 1$
$3478$ $5641504847$ $95659956$ $5641504847^{2} \, - \, $$3478$$ \, \cdot \, 95659956^{2} = 1$
$3482$ $6963$ $118$ $6963^{2} \, - \, $$3482$$ \, \cdot \, 118^{2} = 1$
$3485$ $21126634569$ $357872996$ $21126634569^{2} \, - \, $$3485$$ \, \cdot \, 357872996^{2} = 1$
$3486$ $146834801$ $2486940$ $146834801^{2} \, - \, $$3486$$ \, \cdot \, 2486940^{2} = 1$
$3487$ $372642616982492771993$ $6310540342359733452$ $372642616982492771993^{2} \, - \, $$3487$$ \, \cdot \, 6310540342359733452^{2} = 1$
$3489$ $271397782791256394735969495$ $4594685719377125134873396$ $271397782791256394735969495^{2} \, - \, $$3489$$ \, \cdot \, 4594685719377125134873396^{2} = 1$
$3490$ $1423868205419624660419$ $24102221814411415938$ $1423868205419624660419^{2} \, - \, $$3490$$ \, \cdot \, 24102221814411415938^{2} = 1$
$3491$ $4257069405177822490$ $72050302140434817$ $4257069405177822490^{2} \, - \, $$3491$$ \, \cdot \, 72050302140434817^{2} = 1$
$3493$ $233743991167$ $3954951504$ $233743991167^{2} \, - \, $$3493$$ \, \cdot \, 3954951504^{2} = 1$
$3494$ $898475984801702499687719773445$ $15200050229496559619920117614$ $898475984801702499687719773445^{2} \, - \, $$3494$$ \, \cdot \, 15200050229496559619920117614^{2} = 1$
$3495$ $67336$ $1139$ $67336^{2} \, - \, $$3495$$ \, \cdot \, 1139^{2} = 1$
$3497$ $518806313$ $8773188$ $518806313^{2} \, - \, $$3497$$ \, \cdot \, 8773188^{2} = 1$
$3498$ $57133$ $966$ $57133^{2} \, - \, $$3498$$ \, \cdot \, 966^{2} = 1$
$3499$ $163200280036754868004283955634826864835650$ $2758982389417224651220445748477066165501$ $163200280036754868004283955634826864835650^{2} \, - \, $$3499$$ \, \cdot \, 2758982389417224651220445748477066165501^{2} = 1$
$3502$ $11801690767$ $199428012$ $11801690767^{2} \, - \, $$3502$$ \, \cdot \, 199428012^{2} = 1$
$3503$ $13672$ $231$ $13672^{2} \, - \, $$3503$$ \, \cdot \, 231^{2} = 1$
$3505$ $5506054271902889$ $93002896960908$ $5506054271902889^{2} \, - \, $$3505$$ \, \cdot \, 93002896960908^{2} = 1$
$3506$ $11498701825$ $194197152$ $11498701825^{2} \, - \, $$3506$$ \, \cdot \, 194197152^{2} = 1$
$3507$ $835001$ $14100$ $835001^{2} \, - \, $$3507$$ \, \cdot \, 14100^{2} = 1$
$3511$ $154668335580127528677080546324630690758162729104455480$ $2610273397384535371401477704316664303355607551251947$ $154668335580127528677080546324630690758162729104455480^{2} \, - \, $$3511$$ \, \cdot \, 2610273397384535371401477704316664303355607551251947^{2} = 1$
$3513$ $6149946007887332302807$ $103760541152935102436$ $6149946007887332302807^{2} \, - \, $$3513$$ \, \cdot \, 103760541152935102436^{2} = 1$
$3514$ $465616045$ $7854654$ $465616045^{2} \, - \, $$3514$$ \, \cdot \, 7854654^{2} = 1$
$3515$ $34446$ $581$ $34446^{2} \, - \, $$3515$$ \, \cdot \, 581^{2} = 1$
$3517$ $6846497376896832418893557824327321882763040649$ $115446896353672227914747625761694469282542060$ $6846497376896832418893557824327321882763040649^{2} \, - \, $$3517$$ \, \cdot \, 115446896353672227914747625761694469282542060^{2} = 1$
$3518$ $12444829056736893183$ $209817166579691696$ $12444829056736893183^{2} \, - \, $$3518$$ \, \cdot \, 209817166579691696^{2} = 1$
$3521$ $92840283835608470898242015$ $1564600436227404069821688$ $92840283835608470898242015^{2} \, - \, $$3521$$ \, \cdot \, 1564600436227404069821688^{2} = 1$
$3522$ $137946810245777$ $2324432755932$ $137946810245777^{2} \, - \, $$3522$$ \, \cdot \, 2324432755932^{2} = 1$
$3523$ $1013169664729893318974$ $17069698745170920735$ $1013169664729893318974^{2} \, - \, $$3523$$ \, \cdot \, 17069698745170920735^{2} = 1$
$3526$ $72325$ $1218$ $72325^{2} \, - \, $$3526$$ \, \cdot \, 1218^{2} = 1$
$3527$ $4337485199810568$ $73035713459107$ $4337485199810568^{2} \, - \, $$3527$$ \, \cdot \, 73035713459107^{2} = 1$
$3529$ $27383263886825175825540278991458644183589865345311393450319120624890739217012456442384704801$ $460955904634519374414557824410952673850591070211021071673894155427750940548144570044756680$ $27383263886825175825540278991458644183589865345311393450319120624890739217012456442384704801^{2} \, - \, $$3529$$ \, \cdot \, 460955904634519374414557824410952673850591070211021071673894155427750940548144570044756680^{2} = 1$
$3530$ $5937459$ $99934$ $5937459^{2} \, - \, $$3530$$ \, \cdot \, 99934^{2} = 1$
$3531$ $2674$ $45$ $2674^{2} \, - \, $$3531$$ \, \cdot \, 45^{2} = 1$
$3533$ $104737841197119627849$ $1762105064815638140$ $104737841197119627849^{2} \, - \, $$3533$$ \, \cdot \, 1762105064815638140^{2} = 1$
$3534$ $32373301$ $544570$ $32373301^{2} \, - \, $$3534$$ \, \cdot \, 544570^{2} = 1$
$3535$ $2544055937144$ $42788981289$ $2544055937144^{2} \, - \, $$3535$$ \, \cdot \, 42788981289^{2} = 1$
$3538$ $2161332563203$ $36336465654$ $2161332563203^{2} \, - \, $$3538$$ \, \cdot \, 36336465654^{2} = 1$
$3539$ $22937820863321129746978434970$ $385577670697700098385352921$ $22937820863321129746978434970^{2} \, - \, $$3539$$ \, \cdot \, 385577670697700098385352921^{2} = 1$
$3541$ $3172589057428215796708743930781432364754117319020437647647403022994376786249$ $53315177398271019335475388556339561860731882527742270090857873983485168300$ $3172589057428215796708743930781432364754117319020437647647403022994376786249^{2} \, - \, $$3541$$ \, \cdot \, 53315177398271019335475388556339561860731882527742270090857873983485168300^{2} = 1$
$3542$ $4047$ $68$ $4047^{2} \, - \, $$3542$$ \, \cdot \, 68^{2} = 1$
$3543$ $422382587228788$ $7096111483901$ $422382587228788^{2} \, - \, $$3543$$ \, \cdot \, 7096111483901^{2} = 1$
$3545$ $50506047489$ $848272256$ $50506047489^{2} \, - \, $$3545$$ \, \cdot \, 848272256^{2} = 1$
$3547$ $11564162672696455361227802$ $194170656064482167068443$ $11564162672696455361227802^{2} \, - \, $$3547$$ \, \cdot \, 194170656064482167068443^{2} = 1$
$3551$ $59195165576058676$ $993369687682185$ $59195165576058676^{2} \, - \, $$3551$$ \, \cdot \, 993369687682185^{2} = 1$
$3553$ $1308524604187890583$ $21952515342262236$ $1308524604187890583^{2} \, - \, $$3553$$ \, \cdot \, 21952515342262236^{2} = 1$
$3554$ $1201251$ $20150$ $1201251^{2} \, - \, $$3554$$ \, \cdot \, 20150^{2} = 1$
$3557$ $863734006546542276566354322303005871056649$ $14482318226190537716093898172524134542340$ $863734006546542276566354322303005871056649^{2} \, - \, $$3557$$ \, \cdot \, 14482318226190537716093898172524134542340^{2} = 1$
$3558$ $1959630148644101$ $32852705496270$ $1959630148644101^{2} \, - \, $$3558$$ \, \cdot \, 32852705496270^{2} = 1$
$3559$ $1330225756822212772700719603819176232246280$ $22297766266506600324614212155194907300819$ $1330225756822212772700719603819176232246280^{2} \, - \, $$3559$$ \, \cdot \, 22297766266506600324614212155194907300819^{2} = 1$
$3561$ $19001792647768358685056080535$ $318426048723555364349626572$ $19001792647768358685056080535^{2} \, - \, $$3561$$ \, \cdot \, 318426048723555364349626572^{2} = 1$
$3562$ $2810610703608886099$ $47092715983685370$ $2810610703608886099^{2} \, - \, $$3562$$ \, \cdot \, 47092715983685370^{2} = 1$
$3563$ $1539726$ $25795$ $1539726^{2} \, - \, $$3563$$ \, \cdot \, 25795^{2} = 1$
$3565$ $350749293698963555395831$ $5874447651641086104468$ $350749293698963555395831^{2} \, - \, $$3565$$ \, \cdot \, 5874447651641086104468^{2} = 1$
$3566$ $1738457588186523858378255$ $29112093041890179510308$ $1738457588186523858378255^{2} \, - \, $$3566$$ \, \cdot \, 29112093041890179510308^{2} = 1$
$3567$ $1403224$ $23495$ $1403224^{2} \, - \, $$3567$$ \, \cdot \, 23495^{2} = 1$
$3569$ $42501975$ $711436$ $42501975^{2} \, - \, $$3569$$ \, \cdot \, 711436^{2} = 1$
$3570$ $239$ $4$ $239^{2} \, - \, $$3570$$ \, \cdot \, 4^{2} = 1$
$3571$ $18991028052879952877717003280980106896077255885649556410$ $317799749249667142896491448615083010692333748314716137$ $18991028052879952877717003280980106896077255885649556410^{2} \, - \, $$3571$$ \, \cdot \, 317799749249667142896491448615083010692333748314716137^{2} = 1$
$3574$ $6553149027918438725$ $109615702239335226$ $6553149027918438725^{2} \, - \, $$3574$$ \, \cdot \, 109615702239335226^{2} = 1$
$3578$ $14135520198651631129784883$ $236315184036906395751386$ $14135520198651631129784883^{2} \, - \, $$3578$$ \, \cdot \, 236315184036906395751386^{2} = 1$
$3579$ $33674810$ $562891$ $33674810^{2} \, - \, $$3579$$ \, \cdot \, 562891^{2} = 1$
$3581$ $71963149419470411152115066181530257881478431336201$ $1202563453245187319364683003461131725173721132020$ $71963149419470411152115066181530257881478431336201^{2} \, - \, $$3581$$ \, \cdot \, 1202563453245187319364683003461131725173721132020^{2} = 1$
$3583$ $109443788970476567211613752128$ $1828385278857125351629111551$ $109443788970476567211613752128^{2} \, - \, $$3583$$ \, \cdot \, 1828385278857125351629111551^{2} = 1$
$3585$ $479$ $8$ $479^{2} \, - \, $$3585$$ \, \cdot \, 8^{2} = 1$
$3586$ $63731985603659812931482385$ $1064271192121949388800172$ $63731985603659812931482385^{2} \, - \, $$3586$$ \, \cdot \, 1064271192121949388800172^{2} = 1$
$3587$ $24710842$ $412593$ $24710842^{2} \, - \, $$3587$$ \, \cdot \, 412593^{2} = 1$
$3589$ $31315771857354691312620991817370011337286308537341449$ $522728755317783485491319367730486499876744951607420$ $31315771857354691312620991817370011337286308537341449^{2} \, - \, $$3589$$ \, \cdot \, 522728755317783485491319367730486499876744951607420^{2} = 1$
$3590$ $719$ $12$ $719^{2} \, - \, $$3590$$ \, \cdot \, 12^{2} = 1$
$3593$ $7696833068229560514740474421249$ $128405450514121492071802595200$ $7696833068229560514740474421249^{2} \, - \, $$3593$$ \, \cdot \, 128405450514121492071802595200^{2} = 1$
$3594$ $1199$ $20$ $1199^{2} \, - \, $$3594$$ \, \cdot \, 20^{2} = 1$
$3595$ $1439$ $24$ $1439^{2} \, - \, $$3595$$ \, \cdot \, 24^{2} = 1$
$3597$ $2399$ $40$ $2399^{2} \, - \, $$3597$$ \, \cdot \, 40^{2} = 1$
$3598$ $3599$ $60$ $3599^{2} \, - \, $$3598$$ \, \cdot \, 60^{2} = 1$
$3599$ $60$ $1$ $60^{2} \, - \, $$3599$$ \, \cdot \, 1^{2} = 1$
$3601$ $7201$ $120$ $7201^{2} \, - \, $$3601$$ \, \cdot \, 120^{2} = 1$
$3602$ $3601$ $60$ $3601^{2} \, - \, $$3602$$ \, \cdot \, 60^{2} = 1$
$3603$ $2401$ $40$ $2401^{2} \, - \, $$3603$$ \, \cdot \, 40^{2} = 1$
$3605$ $1441$ $24$ $1441^{2} \, - \, $$3605$$ \, \cdot \, 24^{2} = 1$
$3606$ $1201$ $20$ $1201^{2} \, - \, $$3606$$ \, \cdot \, 20^{2} = 1$
$3607$ $1097285741840482842720908000168$ $18270341491660933329459152133$ $1097285741840482842720908000168^{2} \, - \, $$3607$$ \, \cdot \, 18270341491660933329459152133^{2} = 1$
$3611$ $221311442926$ $3682901685$ $221311442926^{2} \, - \, $$3611$$ \, \cdot \, 3682901685^{2} = 1$
$3613$ $45570238919238096277055706305393510397118472454069587931255025237763472771509461525320649$ $758136358221574107256755020233876670104775330740207088800558558874650075115000577770820$ $45570238919238096277055706305393510397118472454069587931255025237763472771509461525320649^{2} \, - \, $$3613$$ \, \cdot \, 758136358221574107256755020233876670104775330740207088800558558874650075115000577770820^{2} = 1$
$3614$ $80496843504949$ $1339012948530$ $80496843504949^{2} \, - \, $$3614$$ \, \cdot \, 1339012948530^{2} = 1$
$3615$ $481$ $8$ $481^{2} \, - \, $$3615$$ \, \cdot \, 8^{2} = 1$
$3617$ $5414846613826879523878244936273376033$ $90035111037829324337813652078535192$ $5414846613826879523878244936273376033^{2} \, - \, $$3617$$ \, \cdot \, 90035111037829324337813652078535192^{2} = 1$
$3619$ $5917473546326$ $98365325535$ $5917473546326^{2} \, - \, $$3619$$ \, \cdot \, 98365325535^{2} = 1$
$3621$ $302098820103734345$ $5020358913465588$ $302098820103734345^{2} \, - \, $$3621$$ \, \cdot \, 5020358913465588^{2} = 1$
$3622$ $3379329498207358631383486757$ $56150847595190491940481978$ $3379329498207358631383486757^{2} \, - \, $$3622$$ \, \cdot \, 56150847595190491940481978^{2} = 1$
$3623$ $64560410841652961647128$ $1072585986192323058739$ $64560410841652961647128^{2} \, - \, $$3623$$ \, \cdot \, 1072585986192323058739^{2} = 1$
$3629$ $11039799$ $183260$ $11039799^{2} \, - \, $$3629$$ \, \cdot \, 183260^{2} = 1$
$3631$ $28593977421210979010060308155514326577373126480$ $474527565074012459085010150812019738080880377$ $28593977421210979010060308155514326577373126480^{2} \, - \, $$3631$$ \, \cdot \, 474527565074012459085010150812019738080880377^{2} = 1$
$3633$ $121381263401$ $2013812140$ $121381263401^{2} \, - \, $$3633$$ \, \cdot \, 2013812140^{2} = 1$
$3634$ $718740517469885$ $11922838642806$ $718740517469885^{2} \, - \, $$3634$$ \, \cdot \, 11922838642806^{2} = 1$
$3635$ $3164029655406$ $52479336761$ $3164029655406^{2} \, - \, $$3635$$ \, \cdot \, 52479336761^{2} = 1$
$3637$ $64577029259933426149813235444044063743997235641726617676285595582413683997464649$ $1070795190174645027478741085661105324950601298811715742812228410543828801984940$ $64577029259933426149813235444044063743997235641726617676285595582413683997464649^{2} \, - \, $$3637$$ \, \cdot \, 1070795190174645027478741085661105324950601298811715742812228410543828801984940^{2} = 1$
$3638$ $1313317$ $21774$ $1313317^{2} \, - \, $$3638$$ \, \cdot \, 21774^{2} = 1$
$3639$ $2638873708660825$ $43744915145204$ $2638873708660825^{2} \, - \, $$3639$$ \, \cdot \, 43744915145204^{2} = 1$
$3641$ $1230387735336711409021454551$ $20390677407797431681639260$ $1230387735336711409021454551^{2} \, - \, $$3641$$ \, \cdot \, 20390677407797431681639260^{2} = 1$
$3642$ $5999867949613$ $99419533598$ $5999867949613^{2} \, - \, $$3642$$ \, \cdot \, 99419533598^{2} = 1$
$3643$ $36121436092221994223682362$ $598460405841980807421099$ $36121436092221994223682362^{2} \, - \, $$3643$$ \, \cdot \, 598460405841980807421099^{2} = 1$
$3646$ $4144422827980232628703245086157004113731279425535$ $68636594148085095893173701146828684327622405312$ $4144422827980232628703245086157004113731279425535^{2} \, - \, $$3646$$ \, \cdot \, 68636594148085095893173701146828684327622405312^{2} = 1$
$3647$ $836771328$ $13856033$ $836771328^{2} \, - \, $$3647$$ \, \cdot \, 13856033^{2} = 1$
$3649$ $44172634193463205496684508055517519604483414049$ $731250821679195776081130041042783355429312840$ $44172634193463205496684508055517519604483414049^{2} \, - \, $$3649$$ \, \cdot \, 731250821679195776081130041042783355429312840^{2} = 1$
$3651$ $16904059623765770$ $279759665101007$ $16904059623765770^{2} \, - \, $$3651$$ \, \cdot \, 279759665101007^{2} = 1$
$3653$ $5950561275727266249$ $98453938833205100$ $5950561275727266249^{2} \, - \, $$3653$$ \, \cdot \, 98453938833205100^{2} = 1$
$3655$ $817456601564$ $13521379893$ $817456601564^{2} \, - \, $$3655$$ \, \cdot \, 13521379893^{2} = 1$
$3657$ $367561465577$ $6078095148$ $367561465577^{2} \, - \, $$3657$$ \, \cdot \, 6078095148^{2} = 1$
$3658$ $4471136201718703$ $73925802750324$ $4471136201718703^{2} \, - \, $$3658$$ \, \cdot \, 73925802750324^{2} = 1$
$3659$ $2042576707831897385233090$ $33767364860054925982131$ $2042576707831897385233090^{2} \, - \, $$3659$$ \, \cdot \, 33767364860054925982131^{2} = 1$
$3661$ $2646141887783161526043580022412878563962992776375$ $43733402096883205362363637609478218494451519428$ $2646141887783161526043580022412878563962992776375^{2} \, - \, $$3661$$ \, \cdot \, 43733402096883205362363637609478218494451519428^{2} = 1$
$3662$ $506192941607823$ $8364826069012$ $506192941607823^{2} \, - \, $$3662$$ \, \cdot \, 8364826069012^{2} = 1$
$3665$ $102302745346709751207969$ $1689858337861260085768$ $102302745346709751207969^{2} \, - \, $$3665$$ \, \cdot \, 1689858337861260085768^{2} = 1$
$3666$ $30079999$ $496800$ $30079999^{2} \, - \, $$3666$$ \, \cdot \, 496800^{2} = 1$
$3667$ $297026$ $4905$ $297026^{2} \, - \, $$3667$$ \, \cdot \, 4905^{2} = 1$
$3669$ $583577909249481438179073802064418815$ $9634406977585923788452640947568064$ $583577909249481438179073802064418815^{2} \, - \, $$3669$$ \, \cdot \, 9634406977585923788452640947568064^{2} = 1$
$3670$ $104652251$ $1727490$ $104652251^{2} \, - \, $$3670$$ \, \cdot \, 1727490^{2} = 1$
$3671$ $41784090358688040$ $689634150895963$ $41784090358688040^{2} \, - \, $$3671$$ \, \cdot \, 689634150895963^{2} = 1$
$3673$ $168766530135390068775092076943133637828083891633179137313$ $2784683600266094941102902586251056934698646774746850696$ $168766530135390068775092076943133637828083891633179137313^{2} \, - \, $$3673$$ \, \cdot \, 2784683600266094941102902586251056934698646774746850696^{2} = 1$
$3674$ $1747315736495$ $28827156924$ $1747315736495^{2} \, - \, $$3674$$ \, \cdot \, 28827156924^{2} = 1$
$3677$ $12835900420284606307635198577155849$ $211679852530226715164975585756980$ $12835900420284606307635198577155849^{2} \, - \, $$3677$$ \, \cdot \, 211679852530226715164975585756980^{2} = 1$
$3678$ $388600122293$ $6407624754$ $388600122293^{2} \, - \, $$3678$$ \, \cdot \, 6407624754^{2} = 1$
$3679$ $5095$ $84$ $5095^{2} \, - \, $$3679$$ \, \cdot \, 84^{2} = 1$
$3682$ $4733$ $78$ $4733^{2} \, - \, $$3682$$ \, \cdot \, 78^{2} = 1$
$3683$ $410786342382$ $6768853841$ $410786342382^{2} \, - \, $$3683$$ \, \cdot \, 6768853841^{2} = 1$
$3685$ $7282430361519479$ $119965838613732$ $7282430361519479^{2} \, - \, $$3685$$ \, \cdot \, 119965838613732^{2} = 1$
$3686$ $457439614314245$ $7534528958478$ $457439614314245^{2} \, - \, $$3686$$ \, \cdot \, 7534528958478^{2} = 1$
$3687$ $39378388$ $648517$ $39378388^{2} \, - \, $$3687$$ \, \cdot \, 648517^{2} = 1$
$3689$ $34757889071905$ $572267477496$ $34757889071905^{2} \, - \, $$3689$$ \, \cdot \, 572267477496^{2} = 1$
$3691$ $234567615574876492401606215621404902264929334397465877126450$ $3860966474564908813990341364686765959018219080955834494467$ $234567615574876492401606215621404902264929334397465877126450^{2} \, - \, $$3691$$ \, \cdot \, 3860966474564908813990341364686765959018219080955834494467^{2} = 1$
$3693$ $1105219509697986428089359804151$ $18186908791742181884989208340$ $1105219509697986428089359804151^{2} \, - \, $$3693$$ \, \cdot \, 18186908791742181884989208340^{2} = 1$
$3694$ $52433780724765852865103304025354709557775$ $862705820187501130225190402344119302436$ $52433780724765852865103304025354709557775^{2} \, - \, $$3694$$ \, \cdot \, 862705820187501130225190402344119302436^{2} = 1$
$3695$ $11707239$ $192596$ $11707239^{2} \, - \, $$3695$$ \, \cdot \, 192596^{2} = 1$
$3697$ $7808633640632461756780924806250382748843770366065960902672182269378896474913$ $128425221112532276737797100838820504427242730558690748424983038554902175912$ $7808633640632461756780924806250382748843770366065960902672182269378896474913^{2} \, - \, $$3697$$ \, \cdot \, 128425221112532276737797100838820504427242730558690748424983038554902175912^{2} = 1$
$3701$ $69774815046603078777263496165137014321285449$ $1146935912439469239361139413407804084925460$ $69774815046603078777263496165137014321285449^{2} \, - \, $$3701$$ \, \cdot \, 1146935912439469239361139413407804084925460^{2} = 1$
$3702$ $1808800901$ $29728470$ $1808800901^{2} \, - \, $$3702$$ \, \cdot \, 29728470^{2} = 1$
$3705$ $126202751$ $2073360$ $126202751^{2} \, - \, $$3705$$ \, \cdot \, 2073360^{2} = 1$
$3706$ $31315699$ $514410$ $31315699^{2} \, - \, $$3706$$ \, \cdot \, 514410^{2} = 1$
$3707$ $24617923802$ $404333877$ $24617923802^{2} \, - \, $$3707$$ \, \cdot \, 404333877^{2} = 1$
$3709$ $498938622490100272191791386249$ $8192542575130583730660585900$ $498938622490100272191791386249^{2} \, - \, $$3709$$ \, \cdot \, 8192542575130583730660585900^{2} = 1$
$3710$ $89781$ $1474$ $89781^{2} \, - \, $$3710$$ \, \cdot \, 1474^{2} = 1$
$3711$ $1143544689182643793945$ $18771875453607819628$ $1143544689182643793945^{2} \, - \, $$3711$$ \, \cdot \, 18771875453607819628^{2} = 1$
$3713$ $24861605887$ $408006144$ $24861605887^{2} \, - \, $$3713$$ \, \cdot \, 408006144^{2} = 1$
$3714$ $126375502953460658705$ $2073680994427674804$ $126375502953460658705^{2} \, - \, $$3714$$ \, \cdot \, 2073680994427674804^{2} = 1$
$3715$ $473963480019253126$ $7776165059948175$ $473963480019253126^{2} \, - \, $$3715$$ \, \cdot \, 7776165059948175^{2} = 1$
$3719$ $3720$ $61$ $3720^{2} \, - \, $$3719$$ \, \cdot \, 61^{2} = 1$
$3722$ $7443$ $122$ $7443^{2} \, - \, $$3722$$ \, \cdot \, 122^{2} = 1$
$3723$ $3722$ $61$ $3722^{2} \, - \, $$3723$$ \, \cdot \, 61^{2} = 1$
$3727$ $15667865359621009679784327392716427024$ $256643420262947744441041461191425065$ $15667865359621009679784327392716427024^{2} \, - \, $$3727$$ \, \cdot \, 256643420262947744441041461191425065^{2} = 1$
$3729$ $115130012540951$ $1885351627940$ $115130012540951^{2} \, - \, $$3729$$ \, \cdot \, 1885351627940^{2} = 1$
$3730$ $3416113452374934254659$ $55934256505324920294$ $3416113452374934254659^{2} \, - \, $$3730$$ \, \cdot \, 55934256505324920294^{2} = 1$
$3731$ $218490$ $3577$ $218490^{2} \, - \, $$3731$$ \, \cdot \, 3577^{2} = 1$
$3733$ $163505546618640913489667858403323954543715501403366565863032740638357682707849$ $2676107128610269717762767313482460529282151451907115642704648424351112771140$ $163505546618640913489667858403323954543715501403366565863032740638357682707849^{2} \, - \, $$3733$$ \, \cdot \, 2676107128610269717762767313482460529282151451907115642704648424351112771140^{2} = 1$
$3734$ $2380373423071447639838210245$ $38954527049221334615225706$ $2380373423071447639838210245^{2} \, - \, $$3734$$ \, \cdot \, 38954527049221334615225706^{2} = 1$
$3737$ $106857$ $1748$ $106857^{2} \, - \, $$3737$$ \, \cdot \, 1748^{2} = 1$
$3738$ $1110899$ $18170$ $1110899^{2} \, - \, $$3738$$ \, \cdot \, 18170^{2} = 1$
$3739$ $209743543470762890$ $3430132277703579$ $209743543470762890^{2} \, - \, $$3739$$ \, \cdot \, 3430132277703579^{2} = 1$
$3741$ $780449$ $12760$ $780449^{2} \, - \, $$3741$$ \, \cdot \, 12760^{2} = 1$
$3742$ $28118123833697896867864567137866303$ $459657602662577172746685648787032$ $28118123833697896867864567137866303^{2} \, - \, $$3742$$ \, \cdot \, 459657602662577172746685648787032^{2} = 1$
$3743$ $984999$ $16100$ $984999^{2} \, - \, $$3743$$ \, \cdot \, 16100^{2} = 1$
$3745$ $98883806469047483561$ $1615843386061857684$ $98883806469047483561^{2} \, - \, $$3745$$ \, \cdot \, 1615843386061857684^{2} = 1$
$3746$ $55438586115$ $905791538$ $55438586115^{2} \, - \, $$3746$$ \, \cdot \, 905791538^{2} = 1$
$3747$ $2759042$ $45073$ $2759042^{2} \, - \, $$3747$$ \, \cdot \, 45073^{2} = 1$
$3749$ $46853191359911675090872689347935$ $765211446013995597753612242424$ $46853191359911675090872689347935^{2} \, - \, $$3749$$ \, \cdot \, 765211446013995597753612242424^{2} = 1$
$3754$ $73376747585000534211123069985309933964014437562567940142042451$ $1197598721371301512126970693967838635930115719572126221231590$ $73376747585000534211123069985309933964014437562567940142042451^{2} \, - \, $$3754$$ \, \cdot \, 1197598721371301512126970693967838635930115719572126221231590^{2} = 1$
$3755$ $966092409$ $15765716$ $966092409^{2} \, - \, $$3755$$ \, \cdot \, 15765716^{2} = 1$
$3758$ $6227411188946703$ $101584899379076$ $6227411188946703^{2} \, - \, $$3758$$ \, \cdot \, 101584899379076^{2} = 1$
$3759$ $13293076$ $216815$ $13293076^{2} \, - \, $$3759$$ \, \cdot \, 216815^{2} = 1$
$3761$ $393130888729394358162066143109623675683424187235854338049$ $6410405486698857513095962328194956886709912044640399680$ $393130888729394358162066143109623675683424187235854338049^{2} \, - \, $$3761$$ \, \cdot \, 6410405486698857513095962328194956886709912044640399680^{2} = 1$
$3763$ $81087991768933910974$ $1321872098013832935$ $81087991768933910974^{2} \, - \, $$3763$$ \, \cdot \, 1321872098013832935^{2} = 1$
$3765$ $14009836706999$ $228323484180$ $14009836706999^{2} \, - \, $$3765$$ \, \cdot \, 228323484180^{2} = 1$
$3766$ $434925959073622013220186354299$ $7087207887002656054605441270$ $434925959073622013220186354299^{2} \, - \, $$3766$$ \, \cdot \, 7087207887002656054605441270^{2} = 1$
$3767$ $20615921151433517021112024$ $335896079139739969462165$ $20615921151433517021112024^{2} \, - \, $$3767$$ \, \cdot \, 335896079139739969462165^{2} = 1$
$3769$ $2015223204686506972664882285858430107176402929267310911602319672117486929438034049$ $32825404504318034787680863739961467930529023848565194099335153484905009261852240$ $2015223204686506972664882285858430107176402929267310911602319672117486929438034049^{2} \, - \, $$3769$$ \, \cdot \, 32825404504318034787680863739961467930529023848565194099335153484905009261852240^{2} = 1$
$3770$ $188499$ $3070$ $188499^{2} \, - \, $$3770$$ \, \cdot \, 3070^{2} = 1$
$3774$ $129443229199$ $2107067220$ $129443229199^{2} \, - \, $$3774$$ \, \cdot \, 2107067220^{2} = 1$
$3777$ $14263704354519650311173143$ $232091286666140074103868$ $14263704354519650311173143^{2} \, - \, $$3777$$ \, \cdot \, 232091286666140074103868^{2} = 1$
$3778$ $177902243$ $2894346$ $177902243^{2} \, - \, $$3778$$ \, \cdot \, 2894346^{2} = 1$
$3779$ $6640384065823496752010$ $108020144228046897009$ $6640384065823496752010^{2} \, - \, $$3779$$ \, \cdot \, 108020144228046897009^{2} = 1$
$3781$ $29248058750439799$ $475656797730780$ $29248058750439799^{2} \, - \, $$3781$$ \, \cdot \, 475656797730780^{2} = 1$
$3782$ $123$ $2$ $123^{2} \, - \, $$3782$$ \, \cdot \, 2^{2} = 1$
$3783$ $10087$ $164$ $10087^{2} \, - \, $$3783$$ \, \cdot \, 164^{2} = 1$
$3785$ $3426006538494660129$ $55687182538036648$ $3426006538494660129^{2} \, - \, $$3785$$ \, \cdot \, 55687182538036648^{2} = 1$
$3786$ $161404298468749$ $2623160063250$ $161404298468749^{2} \, - \, $$3786$$ \, \cdot \, 2623160063250^{2} = 1$
$3787$ $623154676056950901151$ $10126239752578844520$ $623154676056950901151^{2} \, - \, $$3787$$ \, \cdot \, 10126239752578844520^{2} = 1$
$3790$ $2448423923552680501$ $39771045637353030$ $2448423923552680501^{2} \, - \, $$3790$$ \, \cdot \, 39771045637353030^{2} = 1$
$3791$ $185760$ $3017$ $185760^{2} \, - \, $$3791$$ \, \cdot \, 3017^{2} = 1$
$3793$ $887888458985316886484654246682316412422491047746105480560223102753$ $14416737456965210858877574296917961018397734836138930100249666984$ $887888458985316886484654246682316412422491047746105480560223102753^{2} \, - \, $$3793$$ \, \cdot \, 14416737456965210858877574296917961018397734836138930100249666984^{2} = 1$
$3794$ $13551$ $220$ $13551^{2} \, - \, $$3794$$ \, \cdot \, 220^{2} = 1$
$3795$ $17249$ $280$ $17249^{2} \, - \, $$3795$$ \, \cdot \, 280^{2} = 1$
$3797$ $1936659849$ $31429180$ $1936659849^{2} \, - \, $$3797$$ \, \cdot \, 31429180^{2} = 1$
$3799$ $128393599339926760929562900$ $2083093324163219614788099$ $128393599339926760929562900^{2} \, - \, $$3799$$ \, \cdot \, 2083093324163219614788099^{2} = 1$
$3801$ $1046500439977495$ $16974245552268$ $1046500439977495^{2} \, - \, $$3801$$ \, \cdot \, 16974245552268^{2} = 1$
$3802$ $238662570780108808725260140723$ $3870599695388115306842920458$ $238662570780108808725260140723^{2} \, - \, $$3802$$ \, \cdot \, 3870599695388115306842920458^{2} = 1$
$3803$ $34226$ $555$ $34226^{2} \, - \, $$3803$$ \, \cdot \, 555^{2} = 1$
$3805$ $160498493441$ $2601918144$ $160498493441^{2} \, - \, $$3805$$ \, \cdot \, 2601918144^{2} = 1$
$3806$ $981215175115$ $15904860498$ $981215175115^{2} \, - \, $$3806$$ \, \cdot \, 15904860498^{2} = 1$
$3809$ $1248993245468888577411477159201$ $20237394763586802976580766760$ $1248993245468888577411477159201^{2} \, - \, $$3809$$ \, \cdot \, 20237394763586802976580766760^{2} = 1$
$3810$ $659039069$ $10676986$ $659039069^{2} \, - \, $$3810$$ \, \cdot \, 10676986^{2} = 1$
$3811$ $926$ $15$ $926^{2} \, - \, $$3811$$ \, \cdot \, 15^{2} = 1$
$3813$ $247$ $4$ $247^{2} \, - \, $$3813$$ \, \cdot \, 4^{2} = 1$
$3814$ $4153445$ $67254$ $4153445^{2} \, - \, $$3814$$ \, \cdot \, 67254^{2} = 1$
$3815$ $63001$ $1020$ $63001^{2} \, - \, $$3815$$ \, \cdot \, 1020^{2} = 1$
$3817$ $4884786509301654524448078948960189527$ $79065042288561846375583477384310628$ $4884786509301654524448078948960189527^{2} \, - \, $$3817$$ \, \cdot \, 79065042288561846375583477384310628^{2} = 1$
$3818$ $33784653$ $546766$ $33784653^{2} \, - \, $$3818$$ \, \cdot \, 546766^{2} = 1$
$3819$ $31826$ $515$ $31826^{2} \, - \, $$3819$$ \, \cdot \, 515^{2} = 1$
$3821$ $28768702532397465801$ $465405763084613860$ $28768702532397465801^{2} \, - \, $$3821$$ \, \cdot \, 465405763084613860^{2} = 1$
$3823$ $684476077955168625355292470941720998874596768$ $11070216778695248339422640601826616728595751$ $684476077955168625355292470941720998874596768^{2} \, - \, $$3823$$ \, \cdot \, 11070216778695248339422640601826616728595751^{2} = 1$
$3826$ $415361660968051702458738431977745$ $6715122267538570175204725387332$ $415361660968051702458738431977745^{2} \, - \, $$3826$$ \, \cdot \, 6715122267538570175204725387332^{2} = 1$
$3827$ $9954026$ $160905$ $9954026^{2} \, - \, $$3827$$ \, \cdot \, 160905^{2} = 1$
$3829$ $4429414493673107506095825575293077172261760252218975$ $71581968817549680663171024798267885090447996771816$ $4429414493673107506095825575293077172261760252218975^{2} \, - \, $$3829$$ \, \cdot \, 71581968817549680663171024798267885090447996771816^{2} = 1$
$3830$ $336980251$ $5445090$ $336980251^{2} \, - \, $$3830$$ \, \cdot \, 5445090^{2} = 1$
$3831$ $6901001057138494045324$ $111495160732553879885$ $6901001057138494045324^{2} \, - \, $$3831$$ \, \cdot \, 111495160732553879885^{2} = 1$
$3833$ $136772460480833929333714856548661535859233$ $2209170575668147328926301324449447518056$ $136772460480833929333714856548661535859233^{2} \, - \, $$3833$$ \, \cdot \, 2209170575668147328926301324449447518056^{2} = 1$
$3835$ $24575446$ $396843$ $24575446^{2} \, - \, $$3835$$ \, \cdot \, 396843^{2} = 1$
$3837$ $778001776828144055119351$ $12559856840090275822260$ $778001776828144055119351^{2} \, - \, $$3837$$ \, \cdot \, 12559856840090275822260^{2} = 1$
$3838$ $386776738911448763317$ $6243208832821273026$ $386776738911448763317^{2} \, - \, $$3838$$ \, \cdot \, 6243208832821273026^{2} = 1$
$3839$ $47586962820$ $768031321$ $47586962820^{2} \, - \, $$3839$$ \, \cdot \, 768031321^{2} = 1$
$3841$ $1883122993505637746305219852325249366015$ $30384810538284494342047755012293942592$ $1883122993505637746305219852325249366015^{2} \, - \, $$3841$$ \, \cdot \, 30384810538284494342047755012293942592^{2} = 1$
$3842$ $3843$ $62$ $3843^{2} \, - \, $$3842$$ \, \cdot \, 62^{2} = 1$
$3845$ $7689$ $124$ $7689^{2} \, - \, $$3845$$ \, \cdot \, 124^{2} = 1$
$3846$ $3845$ $62$ $3845^{2} \, - \, $$3846$$ \, \cdot \, 62^{2} = 1$
$3847$ $248840445836539903738125260563099912808$ $4011990330404946160419309499701634173$ $248840445836539903738125260563099912808^{2} \, - \, $$3847$$ \, \cdot \, 4011990330404946160419309499701634173^{2} = 1$
$3849$ $612671139012459100385317974935$ $9875372063379966567874988876$ $612671139012459100385317974935^{2} \, - \, $$3849$$ \, \cdot \, 9875372063379966567874988876^{2} = 1$
$3851$ $49388972742621621487450285516069210$ $795872014821453486734138864131107$ $49388972742621621487450285516069210^{2} \, - \, $$3851$$ \, \cdot \, 795872014821453486734138864131107^{2} = 1$
$3853$ $31317246092500027273$ $504526590903473676$ $31317246092500027273^{2} \, - \, $$3853$$ \, \cdot \, 504526590903473676^{2} = 1$
$3854$ $1703305015885455$ $27436996645684$ $1703305015885455^{2} \, - \, $$3854$$ \, \cdot \, 27436996645684^{2} = 1$
$3855$ $1603936$ $25833$ $1603936^{2} \, - \, $$3855$$ \, \cdot \, 25833^{2} = 1$
$3857$ $742793183$ $11960328$ $742793183^{2} \, - \, $$3857$$ \, \cdot \, 11960328^{2} = 1$
$3858$ $8196282030222401$ $131958017499160$ $8196282030222401^{2} \, - \, $$3858$$ \, \cdot \, 131958017499160^{2} = 1$
$3859$ $2188087730$ $35223081$ $2188087730^{2} \, - \, $$3859$$ \, \cdot \, 35223081^{2} = 1$
$3862$ $5965346351623981446559222310227876901$ $95990781933298770162394257846345570$ $5965346351623981446559222310227876901^{2} \, - \, $$3862$$ \, \cdot \, 95990781933298770162394257846345570^{2} = 1$
$3863$ $5920058591634888$ $95249707556731$ $5920058591634888^{2} \, - \, $$3863$$ \, \cdot \, 95249707556731^{2} = 1$
$3865$ $459649211688091839951763402153492295184716929$ $7393528826866690175521973089100735894738064$ $459649211688091839951763402153492295184716929^{2} \, - \, $$3865$$ \, \cdot \, 7393528826866690175521973089100735894738064^{2} = 1$
$3866$ $1297509672741277829587031132499$ $20867944801594990523715784850$ $1297509672741277829587031132499^{2} \, - \, $$3866$$ \, \cdot \, 20867944801594990523715784850^{2} = 1$
$3867$ $2819042$ $45333$ $2819042^{2} \, - \, $$3867$$ \, \cdot \, 45333^{2} = 1$
$3869$ $452438213797449$ $7273775861020$ $452438213797449^{2} \, - \, $$3869$$ \, \cdot \, 7273775861020^{2} = 1$
$3873$ $4761631447$ $76512436$ $4761631447^{2} \, - \, $$3873$$ \, \cdot \, 76512436^{2} = 1$
$3874$ $3229891256360274142051$ $51892918039673924970$ $3229891256360274142051^{2} \, - \, $$3874$$ \, \cdot \, 51892918039673924970^{2} = 1$
$3877$ $450360073$ $7232892$ $450360073^{2} \, - \, $$3877$$ \, \cdot \, 7232892^{2} = 1$
$3878$ $12449487$ $199916$ $12449487^{2} \, - \, $$3878$$ \, \cdot \, 199916^{2} = 1$
$3881$ $3046206682084678948866992262041685172473036801$ $48897600173742523039182107263733945136988160$ $3046206682084678948866992262041685172473036801^{2} \, - \, $$3881$$ \, \cdot \, 48897600173742523039182107263733945136988160^{2} = 1$
$3882$ $2581481119151$ $41432504620$ $2581481119151^{2} \, - \, $$3882$$ \, \cdot \, 41432504620^{2} = 1$
$3883$ $3178$ $51$ $3178^{2} \, - \, $$3883$$ \, \cdot \, 51^{2} = 1$
$3885$ $3269321$ $52452$ $3269321^{2} \, - \, $$3885$$ \, \cdot \, 52452^{2} = 1$
$3886$ $2318997741949707492520197353845$ $37200512890724364298233072678$ $2318997741949707492520197353845^{2} \, - \, $$3886$$ \, \cdot \, 37200512890724364298233072678^{2} = 1$
$3889$ $14302946860378170902910471606049$ $229354123990642437488825785560$ $14302946860378170902910471606049^{2} \, - \, $$3889$$ \, \cdot \, 229354123990642437488825785560^{2} = 1$
$3890$ $41459619$ $664738$ $41459619^{2} \, - \, $$3890$$ \, \cdot \, 664738^{2} = 1$
$3891$ $122148865$ $1958208$ $122148865^{2} \, - \, $$3891$$ \, \cdot \, 1958208^{2} = 1$
$3893$ $4364542601$ $69951420$ $4364542601^{2} \, - \, $$3893$$ \, \cdot \, 69951420^{2} = 1$
$3894$ $32449$ $520$ $32449^{2} \, - \, $$3894$$ \, \cdot \, 520^{2} = 1$
$3895$ $31116315239$ $498579516$ $31116315239^{2} \, - \, $$3895$$ \, \cdot \, 498579516^{2} = 1$
$3898$ $21898963$ $350754$ $21898963^{2} \, - \, $$3898$$ \, \cdot \, 350754^{2} = 1$
$3899$ $979920523681695$ $15693298523624$ $979920523681695^{2} \, - \, $$3899$$ \, \cdot \, 15693298523624^{2} = 1$
$3901$ $5748147049095545351905586396477471790556425435014523786335$ $92032219230966774224257115217399433513124573566147616568$ $5748147049095545351905586396477471790556425435014523786335^{2} \, - \, $$3901$$ \, \cdot \, 92032219230966774224257115217399433513124573566147616568^{2} = 1$
$3902$ $402707006463$ $6446820128$ $402707006463^{2} \, - \, $$3902$$ \, \cdot \, 6446820128^{2} = 1$
$3903$ $520478118556708$ $8331116362489$ $520478118556708^{2} \, - \, $$3903$$ \, \cdot \, 8331116362489^{2} = 1$
$3905$ $6249$ $100$ $6249^{2} \, - \, $$3905$$ \, \cdot \, 100^{2} = 1$
$3907$ $158198090671884155770512949562$ $2530926493468163363989551057$ $158198090671884155770512949562^{2} \, - \, $$3907$$ \, \cdot \, 2530926493468163363989551057^{2} = 1$
$3909$ $53991039908294779727542221294111415$ $863552721454759297742698667903244$ $53991039908294779727542221294111415^{2} \, - \, $$3909$$ \, \cdot \, 863552721454759297742698667903244^{2} = 1$
$3910$ $44627028597829$ $713689968558$ $44627028597829^{2} \, - \, $$3910$$ \, \cdot \, 713689968558^{2} = 1$
$3911$ $29386954827722146159312200$ $469905661402258082369053$ $29386954827722146159312200^{2} \, - \, $$3911$$ \, \cdot \, 469905661402258082369053^{2} = 1$
$3913$ $3664208992496599$ $58576755408060$ $3664208992496599^{2} \, - \, $$3913$$ \, \cdot \, 58576755408060^{2} = 1$
$3914$ $3103881614264902335$ $49612914204303304$ $3103881614264902335^{2} \, - \, $$3914$$ \, \cdot \, 49612914204303304^{2} = 1$
$3917$ $2570019620134545290728450503450875960649$ $41063848887337030403396301714057685060$ $2570019620134545290728450503450875960649^{2} \, - \, $$3917$$ \, \cdot \, 41063848887337030403396301714057685060^{2} = 1$
$3918$ $1940665067$ $31004046$ $1940665067^{2} \, - \, $$3918$$ \, \cdot \, 31004046^{2} = 1$
$3919$ $26044417810670200452762968076538502860962888222429200$ $416032273433305905585502728084820437793259823146889$ $26044417810670200452762968076538502860962888222429200^{2} \, - \, $$3919$$ \, \cdot \, 416032273433305905585502728084820437793259823146889^{2} = 1$
$3921$ $4867267113323905219558836227666788055$ $77729658492403544933265107663650388$ $4867267113323905219558836227666788055^{2} \, - \, $$3921$$ \, \cdot \, 77729658492403544933265107663650388^{2} = 1$
$3922$ $49195731098820827683$ $785549622669086898$ $49195731098820827683^{2} \, - \, $$3922$$ \, \cdot \, 785549622669086898^{2} = 1$
$3923$ $1260934726236423002$ $20131839128128281$ $1260934726236423002^{2} \, - \, $$3923$$ \, \cdot \, 20131839128128281^{2} = 1$
$3926$ $583931887995$ $9319380518$ $583931887995^{2} \, - \, $$3926$$ \, \cdot \, 9319380518^{2} = 1$
$3927$ $188$ $3$ $188^{2} \, - \, $$3927$$ \, \cdot \, 3^{2} = 1$
$3929$ $36029592873227737901629528318184666309388895300380723201$ $574802092295106402220341628830724924454368781171504960$ $36029592873227737901629528318184666309388895300380723201^{2} \, - \, $$3929$$ \, \cdot \, 574802092295106402220341628830724924454368781171504960^{2} = 1$
$3930$ $1101709$ $17574$ $1101709^{2} \, - \, $$3930$$ \, \cdot \, 17574^{2} = 1$
$3931$ $4487333686157443723906476241327235561313041461294998925426804850$ $71570960194412499518981861136598202607554300335006905765219477$ $4487333686157443723906476241327235561313041461294998925426804850^{2} \, - \, $$3931$$ \, \cdot \, 71570960194412499518981861136598202607554300335006905765219477^{2} = 1$
$3934$ $301954646015$ $4814204544$ $301954646015^{2} \, - \, $$3934$$ \, \cdot \, 4814204544^{2} = 1$
$3935$ $3854867793004$ $61452155337$ $3854867793004^{2} \, - \, $$3935$$ \, \cdot \, 61452155337^{2} = 1$
$3937$ $9051555617777728972560474847$ $144258202653075678919788072$ $9051555617777728972560474847^{2} \, - \, $$3937$$ \, \cdot \, 144258202653075678919788072^{2} = 1$
$3938$ $936242019217$ $14919362724$ $936242019217^{2} \, - \, $$3938$$ \, \cdot \, 14919362724^{2} = 1$
$3939$ $242817535$ $3868896$ $242817535^{2} \, - \, $$3939$$ \, \cdot \, 3868896^{2} = 1$
$3941$ $90180215$ $1436508$ $90180215^{2} \, - \, $$3941$$ \, \cdot \, 1436508^{2} = 1$
$3943$ $9678321222349352194222547951077327806344001224$ $154129810218253204350601696325620383993071085$ $9678321222349352194222547951077327806344001224^{2} \, - \, $$3943$$ \, \cdot \, 154129810218253204350601696325620383993071085^{2} = 1$
$3945$ $377615411817641$ $6012100161372$ $377615411817641^{2} \, - \, $$3945$$ \, \cdot \, 6012100161372^{2} = 1$
$3946$ $19183045268270831446823876298288209321299$ $305378889304044234032194346760755778630$ $19183045268270831446823876298288209321299^{2} \, - \, $$3946$$ \, \cdot \, 305378889304044234032194346760755778630^{2} = 1$
$3947$ $54884775626$ $873611475$ $54884775626^{2} \, - \, $$3947$$ \, \cdot \, 873611475^{2} = 1$
$3949$ $12479956244812838735848046871385904390208939089859822808839551$ $198595542202589951705080702065859382638056897769446677987280$ $12479956244812838735848046871385904390208939089859822808839551^{2} \, - \, $$3949$$ \, \cdot \, 198595542202589951705080702065859382638056897769446677987280^{2} = 1$
$3953$ $8327173993068962967$ $132444592666895036$ $8327173993068962967^{2} \, - \, $$3953$$ \, \cdot \, 132444592666895036^{2} = 1$
$3954$ $6574567784465$ $104555979484$ $6574567784465^{2} \, - \, $$3954$$ \, \cdot \, 104555979484^{2} = 1$
$3955$ $566$ $9$ $566^{2} \, - \, $$3955$$ \, \cdot \, 9^{2} = 1$
$3957$ $1152597599$ $18322920$ $1152597599^{2} \, - \, $$3957$$ \, \cdot \, 18322920^{2} = 1$
$3958$ $5501782277$ $87451146$ $5501782277^{2} \, - \, $$3958$$ \, \cdot \, 87451146^{2} = 1$
$3959$ $84115115400025$ $1336845733044$ $84115115400025^{2} \, - \, $$3959$$ \, \cdot \, 1336845733044^{2} = 1$
$3961$ $1916587283085164874595556628648601515521280001$ $30452726425589109630230806274533983240993600$ $1916587283085164874595556628648601515521280001^{2} \, - \, $$3961$$ \, \cdot \, 30452726425589109630230806274533983240993600^{2} = 1$
$3962$ $1133$ $18$ $1133^{2} \, - \, $$3962$$ \, \cdot \, 18^{2} = 1$
$3963$ $1322$ $21$ $1322^{2} \, - \, $$3963$$ \, \cdot \, 21^{2} = 1$
$3965$ $124929$ $1984$ $124929^{2} \, - \, $$3965$$ \, \cdot \, 1984^{2} = 1$
$3966$ $2645$ $42$ $2645^{2} \, - \, $$3966$$ \, \cdot \, 42^{2} = 1$
$3967$ $3968$ $63$ $3968^{2} \, - \, $$3967$$ \, \cdot \, 63^{2} = 1$
$3970$ $7939$ $126$ $7939^{2} \, - \, $$3970$$ \, \cdot \, 126^{2} = 1$
$3973$ $31309027849$ $496718460$ $31309027849^{2} \, - \, $$3973$$ \, \cdot \, 496718460^{2} = 1$
$3974$ $1441122076237812937914142405$ $22860558678322999372646226$ $1441122076237812937914142405^{2} \, - \, $$3974$$ \, \cdot \, 22860558678322999372646226^{2} = 1$
$3977$ $1847347400454528710433$ $29293467207081295112$ $1847347400454528710433^{2} \, - \, $$3977$$ \, \cdot \, 29293467207081295112^{2} = 1$
$3979$ $149997999688710838259705$ $2377926889791375995316$ $149997999688710838259705^{2} \, - \, $$3979$$ \, \cdot \, 2377926889791375995316^{2} = 1$
$3981$ $1163099575$ $18434052$ $1163099575^{2} \, - \, $$3981$$ \, \cdot \, 18434052^{2} = 1$
$3982$ $72474490268003744117$ $1148509367333405322$ $72474490268003744117^{2} \, - \, $$3982$$ \, \cdot \, 1148509367333405322^{2} = 1$
$3983$ $568$ $9$ $568^{2} \, - \, $$3983$$ \, \cdot \, 9^{2} = 1$
$3985$ $10433366221728547072854391061810531558256769$ $165276188540715393350595595628231937004176$ $10433366221728547072854391061810531558256769^{2} \, - \, $$3985$$ \, \cdot \, 165276188540715393350595595628231937004176^{2} = 1$
$3986$ $899964062499$ $14254648750$ $899964062499^{2} \, - \, $$3986$$ \, \cdot \, 14254648750^{2} = 1$
$3989$ $2489574099468737305876191605001$ $39417859660972040365509323300$ $2489574099468737305876191605001^{2} \, - \, $$3989$$ \, \cdot \, 39417859660972040365509323300^{2} = 1$
$3990$ $379$ $6$ $379^{2} \, - \, $$3990$$ \, \cdot \, 6^{2} = 1$
$3991$ $285984142932649574303357149060676$ $4526901964409006077825213929315$ $285984142932649574303357149060676^{2} \, - \, $$3991$$ \, \cdot \, 4526901964409006077825213929315^{2} = 1$
$3994$ $334425963070514018862720269408212980876968520550125856798514537299$ $5291709031174723024227108953831224480295559459024277973512896210$ $334425963070514018862720269408212980876968520550125856798514537299^{2} \, - \, $$3994$$ \, \cdot \, 5291709031174723024227108953831224480295559459024277973512896210^{2} = 1$
$3995$ $71486$ $1131$ $71486^{2} \, - \, $$3995$$ \, \cdot \, 1131^{2} = 1$
$3997$ $92109151$ $1456920$ $92109151^{2} \, - \, $$3997$$ \, \cdot \, 1456920^{2} = 1$
$3998$ $12925799920289343$ $204425954517224$ $12925799920289343^{2} \, - \, $$3998$$ \, \cdot \, 204425954517224^{2} = 1$
$3999$ $26876$ $425$ $26876^{2} \, - \, $$3999$$ \, \cdot \, 425^{2} = 1$