4·10¹+1 = 41 is prime.
4·10²+1 = 401 is prime.
4·10³+1 = 4001 is prime.
4·10¹³+1 = 4(0)₁₂1_<14> is prime.
4·10²²⁹+1 = 4(0)₂₂₈1_<230> is prime.
4·10²⁴²+1 = 4(0)₂₄₁1_<243> is prime.
4·10³⁰⁹+1 = 4(0)₃₀₈1_<310> is prime.
4·10⁹⁵⁷+1 = 4(0)₉₅₆1_<958> is prime.
4·10¹⁴⁷³+1 = 4(0)₁₄₇₂1_<1474> is prime.
4·10¹⁴⁹⁴+1 = 4(0)₁₄₉₃1_<1495> is prime.
4·10³¹⁸²+1 = 4(0)₃₁₈₁1_<3183> is prime.
4·10³⁷²⁷+1 = 4(0)₃₇₂₆1_<3728> is prime.
4·10⁴¹⁷⁷+1 = 4(0)₄₁₇₆1_<4178> is prime.
4·10²³²¹⁰+1 = 4(0)₂₃₂₀₉1_<23211> is prime. (Hugo Pfoertner)
4·10²⁵⁷¹⁹+1 = 4(0)₂₅₇₁₈1_<25720> is prime. (Hugo Pfoertner)
4·10³⁶⁹⁹⁰+1 = 4(0)₃₆₉₈₉1_<36991> is prime. (Peter Benson / George Woltman's PRP, Paul Jobling's NewPGen, OpenPFGW / Aug 23, 2003)
4·10¹⁰³⁹⁵⁸+1 = 4(0)₁₀₃₉₅₇1_<103959> is prime. (Peter Benson / OpenPFGW, Paul Jobling's NewPGen, Yves Gallot's Proth.exe / Dec 31, 2004)

3. Factorizations of 400...001

Last update

Jan 31, 2010

Completed up to

n≤100 / Jul 8, 2004
n≤150 / Mar 27, 2007
n≤200 / Mar 23, 2009

Range

n≤250

Terms which have not been factored yet

n=202, 206, 210, 211, 213, 215, 219, 222, 225, 226, 227, 231, 233, 235, 237, 238, 239, 243, 245, 246, 247, 250 (22/250)

Results

4·10¹+1 =: 41; = definitely prime number

4·10²+1 =: 401; = definitely prime number

4·10³+1 =: 4001; = definitely prime number

4·10⁴+1 =: 40001; = 13 · 17 · 181

4·10⁵+1 =: 400001; = 7 · 57143

4·10⁶+1 =: 4000001; = 41 · 97561

4·10⁷+1 =: 40000001; = 53 · 754717

4·10⁸+1 =: 400000001; = 19801 · 20201

4·10⁹+1 =: 4000000001_<10>; = 47 · 127 · 670129

4·10¹⁰+1 =: 40000000001_<11>; = 13 · 3076923077_<10>

4·10¹¹+1 =: 400000000001_<12>; = 7 · 19³ · 41 · 317 · 641

4·10¹²+1 =: 4000000000001_<13>; = 277 · 7213 · 2002001

4·10¹³+1 =: 40000000000001_<14>; = definitely prime number

4·10¹⁴+1 =: 400000000000001_<15>; = 7333 · 54547933997_<11>

4·10¹⁵+1 =: 4000000000000001_<16>; = 173 · 23121387283237_<14>

4·10¹⁶+1 =: 40000000000000001_<17>; = 13 · 41 · 457 · 569 · 821 · 351529

4·10¹⁷+1 =: 400000000000000001_<18>; = 7² · 23 · 2687 · 132089534249_<12>

4·10¹⁸+1 =: 4000000000000000001_<19>; = 12056437 · 331772977373_<12>

4·10¹⁹+1 =: 40000000000000000001_<20>; = 922367 · 43366685928703_<14>

4·10²⁰+1 =: 400000000000000000001_<21>; = 17 · 29 · 53 · 1129 · 5953 · 35933 · 63389

4·10²¹+1 =: 4000000000000000000001_<22>; = 41 · 97560975609756097561_<20>

4·10²²+1 =: 40000000000000000000001_<23>; = 13 · 273773 · 11238957373163449_<17>

4·10²³+1 =: 400000000000000000000001_<24>; = 7 · 26249 · 2176953679868076607_<19>

4·10²⁴+1 =: 4000000000000000000000001_<25>; = 1999998000001_<13> · 2000002000001_<13>

4·10²⁵+1 =: 40000000000000000000000001_<26>; = 733 · 1847 · 4219 · 2447761 · 2860952089_<10>

4·10²⁶+1 =: 400000000000000000000000001_<27>; = 41 · 293 · 33297261300258053775077_<23>

4·10²⁷+1 =: 4000000000000000000000000001_<28>; = 797 · 31557220333_<11> · 159038740554601_<15>

4·10²⁸+1 =: 40000000000000000000000000001_<29>; = 13 · 15384616923077_<14> · 199999980000001_<15>

4·10²⁹+1 =: 400000000000000000000000000001_<30>; = 7 · 19 · 131 · 35343237863_<11> · 649577122635449_<15>

4·10³⁰+1 =: 4000000000000000000000000000001_<31>; = 1199481995446957_<16> · 3334772856269093_<16>

4·10³¹+1 =: 40000000000000000000000000000001_<32>; = 41 · 659 · 1613 · 752459 · 1474663 · 827143245899_<12>

4·10³²+1 =: 400000000000000000000000000000001_<33>; = 593 · 877 · 3089 · 3121 · 3989 · 19999999800000001_<17>

4·10³³+1 =: 4000000000000000000000000000000001_<34>; = 53 · 75471698113207547169811320754717_<32>

4·10³⁴+1 =: 40000000000000000000000000000000001_<35>; = 13 · 78517 · 39187985747329583696230409681_<29>

4·10³⁵+1 =: 400000000000000000000000000000000001_<36>; = 7 · 472477 · 1342739 · 277543751143_<12> · 324532520167_<12>

4·10³⁶+1 =: 4000000000000000000000000000000000001_<37>; = 17 · 41 · 881 · 267713 · 8479780817_<10> · 2869440456241033_<16>

4·10³⁷+1 =: 40000000000000000000000000000000000001_<38>; = 59 · 11161 · 60744207660148306983002252091499_<32>

4·10³⁸+1 =: 400000000000000000000000000000000000001_<39>; = 89 · 21929 · 710777042881_<12> · 288348545377013952641_<21>

4·10³⁹+1 =: 4000000000000000000000000000000000000001_<40>; = 23 · 450493 · 26255689 · 14703498742403429328114331_<26>

4·10⁴⁰+1 =: 40000000000000000000000000000000000000001_<41>; = 13 · 15384615383076923077_<20> · 200000000020000000001_<21>

4·10⁴¹+1 =: 400000000000000000000000000000000000000001_<42>; = 7 · 41 · 18287 · 28607 · 8232503 · 323617065960441802399049_<24>

4·10⁴²+1 =: 4000000000000000000000000000000000000000001_<43>; = 345997 · 405788401 · 244759045477_<12> · 116399007761442929_<18>

4·10⁴³+1 =: 40000000000000000000000000000000000000000001_<44>; = 379 · 641 · 18867364133062891_<17> · 8726729622988730725849_<22>

4·10⁴⁴+1 =: 400000000000000000000000000000000000000000001_<45>; = 541 · 42767521 · 467644594134881_<15> · 36968576709426987061_<20>

4·10⁴⁵+1 =: 4000000000000000000000000000000000000000000001_<46>; = 22013 · 64997 · 2795679912153810318713513708145726641_<37>

4·10⁴⁶+1 =: 40000000000000000000000000000000000000000000001_<47>; = 13 · 41 · 53 · 5849 · 2494117169_<10> · 888265814281_<12> · 109273660408134809_<18>

4·10⁴⁷+1 =: 400000000000000000000000000000000000000000000001_<48>; = 7 · 19 · 251 · 273641 · 49043851 · 892830248999542574297475458717_<30>

4·10⁴⁸+1 =: 4000000000000000000000000000000000000000000000001_<49>; = 29 · 157 · 997 · 1093 · 196277 · 2346997 · 27736601 · 39336709 · 1604034898237_<13>

4·10⁴⁹+1 =: 40000000000000000000000000000000000000000000000001_<50>; = 6047 · 9198701017619_<13> · 719107005037030071155743700669957_<33>

4·10⁵⁰+1 =: 400000000000000000000000000000000000000000000000001_<51>; = 20832397 · 19200862963585035365829481840231827379249733_<44>

4·10⁵¹+1 =: 4000000000000000000000000000000000000000000000000001_<52>; = 41 · 127 · 2699 · 340957 · 834775929756340659346435744705824635801_<39>

4·10⁵²+1 =: 40000000000000000000000000000000000000000000000000001_<53>; = 13 · 17² · 15473 · 2717549 · 9730969 · 4596227727257_<13> · 5661209930204358073_<19>

4·10⁵³+1 =: 400000000000000000000000000000000000000000000000000001_<54>; = 7 · 2887 · 19793161462714632094611311791775941412242070364689_<50>

4·10⁵⁴+1 =: 4000000000000000000000000000000000000000000000000000001_<55>; = 397 · 5569 · 18513601 · 97724029689006262970120726321857649103557_<41>

4·10⁵⁵+1 =: 40000000000000000000000000000000000000000000000000000001_<56>; = 47 · 311792317 · 3546491561_<10> · 769658009527008787510356671896509059_<36>

4·10⁵⁶+1 =: 400000000000000000000000000000000000000000000000000000001_<57>; = 41 · 61 · 941 · 622549 · 526655496128047225409_<21> · 518389881029517119825821_<24>

4·10⁵⁷+1 =: 4000000000000000000000000000000000000000000000000000000001_<58>; = 2383 · 309519429257646847_<18> · 5423105248953848825200534252128523601_<37>

4·10⁵⁸+1 =: 40000000000000000000000000000000000000000000000000000000001_<59>; = 13 · 173 · 10252493 · 1734766609991044971257473234202380382148194988893_<49>

4·10⁵⁹+1 =: 400000000000000000000000000000000000000000000000000000000001_<60>; = 7² · 53 · 1721 · 7172369 · 561815797 · 22210104408309019466753678280866226961_<38>

4·10⁶⁰+1 =: 4000000000000000000000000000000000000000000000000000000000001_<61>; = 229 · 76597 · 69336888435401_<14> · 28844674820724601_<17> · 114020450593997974882777_<24>

4·10⁶¹+1 =: 40000000000000000000000000000000000000000000000000000000000001_<62>; = 23 · 41 · 231611 · 151054394039690896708813_<24> · 1212427431602724544074830260849_<31>

4·10⁶²+1 =: 400000000000000000000000000000000000000000000000000000000000001_<63>; = 5881 · 242593794022971299662713397_<27> · 280368440058228030693613482669893_<33>

4·10⁶³+1 =: 4000000000000000000000000000000000000000000000000000000000000001_<64>; = 57463303 · 92412075452419139957_<20> · 753252673202065154243392276401159931_<36>

4·10⁶⁴+1 =: 40000000000000000000000000000000000000000000000000000000000000001_<65>; = 13 · 113 · 3061 · 5233 · 697935976337_<12> · 37277079488149_<14> · 65338124795818366546880104541_<29>

4·10⁶⁵+1 =: 400000000000000000000000000000000000000000000000000000000000000001_<66>; = 7 · 19 · 2204550857157326593682271383927_<31> · 1364231987313074370799674019902811_<34>

4·10⁶⁶+1 =: 4000000000000000000000000000000000000000000000000000000000000000001_<67>; = 41 · 677 · 956647082893_<12> · 15916078812572232654253_<23> · 9464542666233135185372313917_<28>

4·10⁶⁷+1 =: 40000000000000000000000000000000000000000000000000000000000000000001_<68>; = 164117 · 1742051 · 139908969084878224421852702990639345649008391006902174303_<57>

4·10⁶⁸+1 =: 400000000000000000000000000000000000000000000000000000000000000000001_<69>; = 17 · 97 · 9929 · 91453 · 126085681 · 165300869 · 5685054840613_<13> · 2254552250995694797203588661_<28>

4·10⁶⁹+1 =: 4000000000000000000000000000000000000000000000000000000000000000000001_<70>; = 1441373 · 2775131766725198820846512318463021022316915885062367617542440437_<64>

4·10⁷⁰+1 =: 40000000000000000000000000000000000000000000000000000000000000000000001_<71>; = 13² · 1493 · 214426983624269161_<18> · 739322702995632778091948645116533136331014788973_<48>

4·10⁷¹+1 =: 400000000000000000000000000000000000000000000000000000000000000000000001_<72>; = 7 · 41 · 54059 · 623599681 · 206158145486328458561_<21> · 200541243562919356138928178827285917_<36>

4·10⁷²+1 =: 4000000000000000000000000000000000000000000000000000000000000000000000001_<73>; = 53 · 2861 · 23173 · 41729 · 39024189068687294863375801_<26> · 699056274030059420482348829080741_<33>

4·10⁷³+1 =: 40000000000000000000000000000000000000000000000000000000000000000000000001_<74>; = 383 · 24733 · 4222643524750338840751339185002352540273726532526653589843444435659_<67>

4·10⁷⁴+1 =: 400000000000000000000000000000000000000000000000000000000000000000000000001_<75>; = 1877 · 819374245465341477001_<21> · 260083864515468281071095575684487609275500129561813_<51>

4·10⁷⁵+1 =: 4000000000000000000000000000000000000000000000000000000000000000000000000001_<76>; = 223 · 641 · 296554471805228957_<18> · 700580501444791801_<18> · 134689758945851757063416146149285251_<36>

4·10⁷⁶+1 =: 40000000000000000000000000000000000000000000000000000000000000000000000000001_<77>; = 13 · 29 · 41 · 7537 · 205929062893_<12> · 3295105303424261_<16> · 51048013082528437769_<20> · 9912209782592943898697_<22>

4·10⁷⁷+1 =: 400000000000000000000000000000000000000000000000000000000000000000000000000001_<78>; = 7 · 167 · 27179 · 160481 · 905917 · 1631579 · 53075227971470436723416564853216129170625280592743997_<53>

4·10⁷⁸+1 =: 4000000000000000000000000000000000000000000000000000000000000000000000000000001_<79>; = 661152529 · 1490111265532794649_<19> · 32601096982344030022369_<23> · 124539585518612667972527269049_<30>

4·10⁷⁹+1 =: 40000000000000000000000000000000000000000000000000000000000000000000000000000001_<80>; = 10399301453_<11> · 44286505549343_<14> · 86852917252842856443203096773392846999695124656258528219_<56>

4·10⁸⁰+1 =: 400000000000000000000000000000000000000000000000000000000000000000000000000000001_<81>; = 709 · 958682189 · 3901200066397_<13> · 5347577827006842697_<19> · 28208744710860366713399153737658674189_<38>

4·10⁸¹+1 =: 4000000000000000000000000000000000000000000000000000000000000000000000000000000001_<82>; = 41 · 263 · 277 · 82613 · 6607585172530757_<16> · 7457700591622276977648263_<25> · 328961073500403971350916708317_<30>

4·10⁸²+1 =: 40000000000000000000000000000000000000000000000000000000000000000000000000000000001_<83>; = 13 · 89 · 8320453 · 127095503602181369_<18> · 32692601016761314157119495004047542663458645548499540849_<56>

4·10⁸³+1 =: 400000000000000000000000000000000000000000000000000000000000000000000000000000000001_<84>; = 7 · 19 · 23 · 61331 · 2132065135506677737272745109390372272910797502215335604455310419649103760569_<76>

4·10⁸⁴+1 =: 4000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<85>; = 17 · 109 · 853425905273368333_<18> · 21499961203232518024633_<23> · 117647058823529411764823529411764705882353_<42>

4·10⁸⁵+1 =: 40000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<86>; = 53 · 971 · 2991889 · 3116849 · 829547000162864046944367046259459_<33> · 100476073473841019014510202342341373_<36>

4·10⁸⁶+1 =: 400000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<87>; = 41 · 197 · 733 · 7986133 · 65307413 · 5076336961_<10> · 1187792304317_<13> · 576148187135201_<15> · 37289088323622219708408124357_<29>

4·10⁸⁷+1 =: 4000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<88>; = 150893 · 409597 · 2164979 · 4035102268771272917_<19> · 7408425138353516758928742273260814998297567120698567_<52>

4·10⁸⁸+1 =: 40000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<89>; = 13 · 309929 · 7230701 · 11817812485849_<14> · 482836088598383929_<18> · 7551796575516578981_<19> · 31863018833731140278508013_<26>

4·10⁸⁹+1 =: 400000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<90>; = 7 · 186806046659_<12> · 181062640643378909404647518804407631099_<39> · 1689437662993745555909697934943056683623_<40>

4·10⁹⁰+1 =: 4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<91>; = 317 · 773 · 845166009699652159666515021017148258333637_<42> · 19314310664570004537506940810390365837495453_<44>

4·10⁹¹+1 =: 40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<92>; = 41 · 52562142481636817481601_<23> · 18561072856541213939514050581011188369320296717040037332455429879961_<68>

4·10⁹²+1 =: 400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<93>; = 2293 · 9076746840853577_<16> · 2203432611999477182878829995513_<31> · 8722197993894461404273789795028347143480157_<43>

4·10⁹³+1 =: 4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<94>; = 127 · 2081291 · 176869847757581148834467117_<27> · 85559780579232529861792445700437376029567083586972454614129_<59>

4·10⁹⁴+1 =: 40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<95>; = 13 · 1361 · 225721 · 1939265163533_<13> · 5164750569576816620964067538335815709623314583988191852709325014543362449_<73>

4·10⁹⁵+1 =: 400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<96>; = 7 · 59 · 1607 · 26921 · 2181259 · 8726647 · 2050333674467557_<16> · 573619207734231410765653214023473131490255218752669688731_<57>

4·10⁹⁶+1 =: 4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<97>; = 41 · 653 · 21347052697_<11> · 1948217037997_<13> · 39654833524613_<14> · 631411766525927033401_<21> · 143475878369122834469397183454904461_<36>

4·10⁹⁷+1 =: 40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<98>; = 251 · 691 · 53077 · 157211 · 2224367 · 543367039097502667247_<21> · 22867526479928742063772216587242930120801823067098947687_<56>

4·10⁹⁸+1 =: 400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<99>; = 53 · 7547169811320754716981132075471698113207547169811320754716981132075471698113207547169811320754717_<97>

4·10⁹⁹+1 =: 4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<100>; = 5340514614533165278697161411_<28> · 748991490279753729991982536795069576765844598816949515716785117147315691_<72>

4·10¹⁰⁰+1 =: 40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<101>; = 13 · 17 · 3677 · 54829 · 267581 · 1729468241_<10> · 530526767289696833_<18> · 1976577034596636110381_<22> · 1850013310736271697135674572900561429_<37>

4·10¹⁰¹+1 =: 4(0)₁₀₀1_<102>; = 7² · 19 · 41 · 47 · 173 · 4517179 · 6579538699_<10> · 43363042523148153702266204810980480699687116865954056179861696866240783475881_<77>

4·10¹⁰²+1 =: 4(0)₁₀₁1_<103>; = 463049479397_<12> · 8638385697375033388477501655442812500798005297363031687909266430467188209717273606396266733_<91>

4·10¹⁰³+1 =: 4(0)₁₀₂1_<104>; = 75691460528272051_<17> · 1023246397461943840048249_<25> · 39556096425362661005215663_<26> · 13056279985721006726424982182157633373_<38>

4·10¹⁰⁴+1 =: 4(0)₁₀₃1_<105>; = 29 · 1153 · 1229 · 4073 · 44773 · 136573 · 380321041 · 11586215577990829_<17> · 3031758035603884709_<19> · 29254915858051818526570428231358748733761_<41>

4·10¹⁰⁵+1 =: 4(0)₁₀₄1_<106>; = 23² · 3329 · 92623529 · 10065112367161_<14> · 61374787300570333_<17> · 1770038185341029783677361_<25> · 22427348776522401264947020870679665813_<38>

4·10¹⁰⁶+1 =: 4(0)₁₀₅1_<107>; = 13 · 41 · 2237 · 236672805169_<12> · 236806432528979638909578742022011126001_<39> · 598583780294530529081821283615359397949289067281249_<51> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 / 0.94 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Mar 22, 2007)

4·10¹⁰⁷+1 =: 4(0)₁₀₆1_<108>; = 7 · 641 · 739 · 211511398519689785054417917_<27> · 570329330270045351436503539535108189841256840826470291937286786510642047521_<75>

4·10¹⁰⁸+1 =: 4(0)₁₀₇1_<109>; = 14282353 · 449624801 · 4448153205854852299395290701502028576933415201_<46> · 140032948352417840393666225586218181275872400017_<48>

4·10¹⁰⁹+1 =: 4(0)₁₀₈1_<110>; = 73637 · 85645489596205447_<17> · 504566703184287260002689525090090859_<36> · 12570160427975508498024126528760502161684857548395201_<53>

4·10¹¹⁰+1 =: 4(0)₁₀₉1_<111>; = 2797 · 11813 · 12106185410285130629221105282016464351627060726230087557078015981435891044452369287927188316344672904641_<104>

4·10¹¹¹+1 =: 4(0)₁₁₀1_<112>; = 41 · 53 · 419 · 954263 · 4603818109825557387601129945008576400336570077856109340401190640622283958065767097101108400901358321_<100>

4·10¹¹²+1 =: 4(0)₁₁₁1_<113>; = 13 · 409 · 5897 · 803237 · 882851476915327188602341_<24> · 93926450809509114392492557_<26> · 19153270310774260418014378549639674313960981532321_<50>

4·10¹¹³+1 =: 4(0)₁₁₂1_<114>; = 7 · 503 · 1597 · 27693103 · 1921587721428489822984360074527_<31> · 1336771611781129939139846137350975094986672392926838753978751165909733_<70> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 / 1.48 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Mar 22, 2007)

4·10¹¹⁴+1 =: 4(0)₁₁₃1_<115>; = 1481 · 10284099811172636668173569_<26> · 19239826379011231330142545758809249_<35> · 13650152431907201963179891116352788668531001597230041_<53> (Makoto Kamada / Msieve 1.17 / Mar 22, 2007)

4·10¹¹⁵+1 =: 4(0)₁₁₄1_<116>; = 205327 · 194811203592318594242354877829023947167201585763197241473357132768705528254929941020908112425545593127060737263_<111>

4·10¹¹⁶+1 =: 4(0)₁₁₅1_<117>; = 17 · 41 · 61 · 193 · 6197 · 53653 · 415721 · 8418828519021619133_<19> · 1041409915758482772813621281597_<31> · 40224367811668375803852835183908505200564069461_<47>

4·10¹¹⁷+1 =: 4(0)₁₁₆1_<118>; = 4164125225093709812091452961256189013773247773370698915379_<58> · 960585905509117746404238452290739780153822354353075575508219_<60> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 / 1.55 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Mar 23, 2007)

4·10¹¹⁸+1 =: 4(0)₁₁₇1_<119>; = 13 · 2521 · 1917014041_<10> · 32794004557_<11> · 19414403288312435820668470666126269499692898656496134681162055945274405314730287544170314937001_<95>

4·10¹¹⁹+1 =: 4(0)₁₁₈1_<120>; = 7 · 19 · 663127 · 1049565721_<10> · 100814601578535670801_<21> · 17915709037898119173692619891853_<32> · 2392459322134858608657877987740046002908201967261647_<52>

4·10¹²⁰+1 =: 4(0)₁₁₉1_<121>; = 509 · 18797 · 471749 · 3696899840127421_<16> · 1332399407553263054444728109_<28> · 3181885712427202864515492961_<28> · 56543929648956861705455421014649847997_<38>

4·10¹²¹+1 =: 4(0)₁₂₀1_<122>; = 41 · 179 · 35407 · 1677282149548946503_<19> · 91775729995559202309480860055465558152596719087388419932408692990597402155192941860585945575179_<95>

4·10¹²²+1 =: 4(0)₁₂₁1_<123>; = 1693 · 2081 · 34301081 · 250868621552100821173_<21> · 237061104674256043241201_<24> · 55656577748792728734500686238834161290097068307476037683753452569_<65>

4·10¹²³+1 =: 4(0)₁₂₂1_<124>; = 151007 · 488636333 · 537902543 · 100779815274977560127837755663970009211033146759104806586600787111420881878953212789248848361924885397_<102>

4·10¹²⁴+1 =: 4(0)₁₂₃1_<125>; = 13 · 53 · 10253 · 14281 · 90620549 · 41641602785482764604422844952478401980473629079093433_<53> · 105069597079303499041538586981063998401693897581284689_<54>

4·10¹²⁵+1 =: 4(0)₁₂₄1_<126>; = 7 · 3465927964099_<13> · 18646352828611_<14> · 40406937613934921_<17> · 21882280681486971925481937485784203208914088263175996664282980555648871573032498247_<83>

4·10¹²⁶+1 =: 4(0)₁₂₅1_<127>; = 41 · 89 · 157 · 2333 · 43969 · 37132169765645505210537037_<26> · 1833052150971326717676530757844097982202256630343703419817263946327914048885728723324893_<88>

4·10¹²⁷+1 =: 4(0)₁₂₆1_<128>; = 23 · 2544761 · 16180327 · 35832931081_<11> · 54093077531_<11> · 21790833172315990738253233519382438490953607919672593208341683869485576176214437220110961811_<92>

4·10¹²⁸+1 =: 4(0)₁₂₇1_<129>; = 373 · 761 · 2633 · 5817901501_<10> · 34078691320501_<14> · 1513015890063439996908593_<25> · 862917513178823378823631229_<27> · 2067538466388206817464922662772364909800768017_<46>

4·10¹²⁹+1 =: 4(0)₁₂₈1_<130>; = 2571557 · 3993481 · 389504261589723049023540667029763241272203254578966125062684058985602519974144182176885796920166971006571953362133253_<117>

4·10¹³⁰+1 =: 4(0)₁₂₉1_<131>; = 13 · 24329 · 26293188445622053_<17> · 10943887203994016693_<20> · 439518862738820048374800235746739067905044179173052197766563183577009727868501488261896597_<90>

4·10¹³¹+1 =: 4(0)₁₃₀1_<132>; = 7 · 41 · 39983 · 6117344564173_<13> · 13540374519737783_<17> · 914330696485126819_<18> · 460262717377104473504549506528838721203624141138015878165033860155386374302161_<78>

4·10¹³²+1 =: 4(0)₁₃₁1_<133>; = 17 · 29 · 433 · 701 · 3373 · 4254113 · 30223181 · 88380821229433_<14> · 378879178609013_<15> · 35917654067934382596442843652221_<32> · 51247760017521254232765394554789953067443953049_<47>

4·10¹³³+1 =: 4(0)₁₃₂1_<134>; = 18650253859_<11> · 656859394409_<12> · 3004948379353932636885592567_<28> · 1215103598620682615274146445588556223_<37> · 894236732175920580152377822028339767396828303931_<48> (Makoto Kamada / Msieve 1.17 / Mar 23, 2007)

4·10¹³⁴+1 =: 4(0)₁₃₃1_<135>; = 2521769 · 6482122769_<10> · 498771505631914848917_<21> · 339732985011027186094197732510445277293910533_<45> · 144410272621457596142773322790127495868916847945915681_<54> (Shaopu Lin / Msieve v. 1.17 / Mar 24, 2007)

4·10¹³⁵+1 =: 4(0)₁₃₄1_<136>; = 127 · 214556798183205397_<18> · 146795921913563321819395980538666834042505147352976071774890915399867927840476992392706923237735278878621927216090179_<117>

4·10¹³⁶+1 =: 4(0)₁₃₅1_<137>; = 13 · 41 · 149 · 4481 · 11122527809_<11> · 16596601969_<11> · 1637757436921_<13> · 2972939782892017_<16> · 82473787923605350135609_<23> · 410588190710389639144589153_<27> · 3693097747722714009348879879577_<31>

4·10¹³⁷+1 =: 4(0)₁₃₆1_<138>; = 7 · 19 · 53 · 1009 · 3823 · 218117 · 1603681 · 23055346723785830899288317321960983887657807_<44> · 1824138707895749513832021600956777695371243638120294559951871173502726613_<73> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 7.70 hours on Cygwin on AMD XP 2700+ / Mar 26, 2007)

4·10¹³⁸+1 =: 4(0)₁₃₇1_<139>; = 6961 · 9998845837_<10> · 27181130477_<11> · 92639850016760801_<17> · 21243739982186736081596209_<26> · 1074340998593730730892428867826432317325432888260258081212279529347431801_<73>

4·10¹³⁹+1 =: 4(0)₁₃₈1_<140>; = 641 · 27851 · 7102095496029555951338486428062736055043334947960741098720689_<61> · 315482054875753501037036269251586513863489506091455405288439226913423699_<72> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 8.58 hours on Core 2 Duo E6300@2.33GHz / Mar 24, 2007)

4·10¹⁴⁰+1 =: 4(0)₁₃₉1_<141>; = 63377 · 83561 · 500467433 · 679233377 · 4899244937_<10> · 23696426502493_<14> · 3839802081892921_<16> · 66052631879764390352533_<23> · 7546035908518137699673476947473361898516667544440801_<52>

4·10¹⁴¹+1 =: 4(0)₁₄₀1_<142>; = 41 · 3167 · 1385099246529648770253437136267455844731_<40> · 41102459480233672086378912659093765960173_<41> · 541102285545511773447658741193840771596059733459284964441_<57> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 7.40 hours on Core 2 Duo E6300@2.33GHz / Mar 25, 2007)

4·10¹⁴²+1 =: 4(0)₁₄₁1_<143>; = 13 · 3250517 · 70502989264785613_<17> · 13426309871176552568186516301787835466311568281191496953878958627394634905531548898527727705393436465260263421649042037_<119>

4·10¹⁴³+1 =: 4(0)₁₄₂1_<144>; = 7² · 7874219 · 10763828209_<11> · 96314054182771268977482219619348989633785487937642420968781693916432139510787929323379246182872041692533059858697565965894819_<125>

4·10¹⁴⁴+1 =: 4(0)₁₄₃1_<145>; = 173 · 8317 · 25621 · 33113 · 319133 · 503249 · 579112895164952297_<18> · 67704575690756412277_<20> · 127833457376629982084572450664243129_<36> · 4070728657304927469734608391624183892984329021_<46>

4·10¹⁴⁵+1 =: 4(0)₁₄₄1_<146>; = 3527 · 3016133 · 9386330623739_<13> · 75701171851442047_<17> · 431900725161775951764678157_<27> · 12252413917377543644136805930318944909387796884332369139786560301466153041715531_<80>

4·10¹⁴⁶+1 =: 4(0)₁₄₅1_<147>; = 41 · 2729 · 2184156109565083400994331504190413_<34> · 185296227258331476479382730913150879294782961_<45> · 8833287103024449941246276528945173645345205610821578498935895813_<64> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 11.10 hours on Core 2 Duo E6300@2.33GHz / Mar 26, 2007)

4·10¹⁴⁷+1 =: 4(0)₁₄₆1_<148>; = 47 · 251 · 733 · 863 · 6442862514461602713781483216855754068454488467466706327_<55> · 83194530963377483428159654973172315536690121265505564170886744203220844329565112601_<83> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 12.48 hours on Cygwin on AMD XP 2700+ / Mar 27, 2007)

4·10¹⁴⁸+1 =: 4(0)₁₄₇1_<149>; = 13² · 17 · 138549833 · 1693109461_<10> · 2976415801_<10> · 796769450569_<12> · 162214004147497_<15> · 1070055437699459212912601513126490566842954733_<46> · 144182457504055569482879143621295762376248991721_<48>

4·10¹⁴⁹+1 =: 4(0)₁₄₈1_<150>; = 7 · 23 · 13259 · 207877 · 2614971570401_<13> · 344706864796710622005213145364745706122291413413780429853772014962334522600966629386228064440103850507036806595831441440265287_<126>

4·10¹⁵⁰+1 =: 4(0)₁₄₉1_<151>; = 53 · 277 · 61357 · 2304158963285019721_<19> · 5047235270038343639185708957_<28> · 381833693783494213482826202929761765045615299273179467013156591317268744276402346427879154651849_<96>

4·10¹⁵¹+1 =: 4(0)₁₅₀1_<152>; = 41 · 1601 · 980423 · 670961329 · 479516387641_<12> · 1931836501146231929868971910071660171111512618650385393945865617903542995026941985367517437264335727157861561970857469063_<121>

4·10¹⁵²+1 =: 4(0)₁₅₁1_<153>; = 543661 · 4675861 · 14926753 · 52223864333161118057243878862623357_<35> · 382966681140453190759201610136931180705493_<42> · 527077985383865837122630444188680560669184029075046608177_<57>

4·10¹⁵³+1 =: 4(0)₁₅₂1_<154>; = 59 · 397 · 13063 · 167318969 · 606641514185778295831468249_<27> · 3183635597702264953513076409369407360357_<40> · 40455156645999949292666657280615001667447267467607551015375410772491397_<71> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P40 x P71 / 26.67 hours on Athlon XP 3000+ / Mar 29, 2007)

4·10¹⁵⁴+1 =: 4(0)₁₅₃1_<155>; = 13 · 25707428533_<11> · 622744718528007083089_<21> · 192197594968209977118057036742684208332916351564626023278876166757315566433401247957901720654599642233127888813956068110721_<123>

4·10¹⁵⁵+1 =: 4(0)₁₅₄1_<156>; = 7 · 19 · 90173 · 63329687397592132145980877526417873030946686466430656344663544587463_<68> · 526652909060236900579923203193911048657743442112564846958614597680814721066334503_<81> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 25.81 hours on Cygwin on AMD XP 2700+ / Apr 3, 2007)

4·10¹⁵⁶+1 =: 4(0)₁₅₅1_<157>; = 41 · 117647489 · 601895033 · 454356957312809_<15> · 5341058207367813588605221_<25> · 5288095175146719223160893179452720213_<37> · 107361595370695238400797719157921129302056548074664130232322929_<63>

4·10¹⁵⁷+1 =: 4(0)₁₅₆1_<158>; = 1321757 · 46712194341161070054665870112933244096080435997557581817007450649_<65> · 647855429982898406721265781990638069224565341233236221727068040304877394852504476748157_<87> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 28.48 hours on Cygwin on AMD 64 3200+ / Apr 17, 2007)

4·10¹⁵⁸+1 =: 4(0)₁₅₇1_<159>; = 25263414276699562450578618285557_<32> · 15833172651129734691753638260959425453361976485639459624681318174193891148379882892150660341586988134980814335626714549512537693_<128> (Makoto Kamada / GMP-ECM 5.0.3 B1=85070, sigma=3599089489)

4·10¹⁵⁹+1 =: 4(0)₁₅₈1_<160>; = 131 · 52009 · 17330918709002002575539_<23> · 33875725650758540850207863307029935526293568365103392584123312512205435389144906177579530015230347839191982884839325363901546049921_<131>

4·10¹⁶⁰+1 =: 4(0)₁₅₉1_<161>; = 13 · 29 · 853 · 249517493 · 519168493069_<12> · 1092173329376508437_<19> · 160550853845011584389826077_<27> · 82739149005614537671026137265110876506013_<41> · 66182786292580938056857269476000328045369018340249_<50>

4·10¹⁶¹+1 =: 4(0)₁₆₀1_<162>; = 7 · 41 · 24481 · 1793611 · 6778769 · 51739157 · 24543891373_<11> · 7075521653495357_<16> · 365498852272237776807460331845037_<33> · 1425813087563283653143535013962362288561660254770001654328238688640363615813_<76> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P33 x P76 / 20.75 hours on Cygwin on AMD XP 2700+ / Mar 28, 2007)

4·10¹⁶²+1 =: 4(0)₁₆₁1_<163>; = 2497329853_<10> · 75396687085921_<14> · 376268494658838666197_<21> · 7033585355523255976857977544415093_<34> · 8027072786280128866004929270459039253458495879153981797095597384581952824282996219837_<85> (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=1124441233 for P34 / Apr 3, 2007)

4·10¹⁶³+1 =: 4(0)₁₆₂1_<164>; = 53 · 73978717 · 19915232337028022644423_<23> · 512261774037057670967542856493977494372940799796521098095418261503423667203083915141568831529293379787730027819780685726100536178487_<132>

4·10¹⁶⁴+1 =: 4(0)₁₆₃1_<165>; = 17 · 97 · 937 · 262253 · 6891629 · 6639016981_<10> · 4809423279366120261605554143564035809924606662417867200996041_<61> · 4486013842492913780384052131069660841652414226854579805176904834375247431701_<76>

4·10¹⁶⁵+1 =: 4(0)₁₆₄1_<166>; = 23743 · 80900761 · 513790423 · 61142992571_<11> · 7779120398579544883895822513251508700047607501669183213883240931_<64> · 8521353913589854424771282379603548481995888227244581651836279018886769_<70> (Kenji Ibusuki / GGNFS-0.77.1 snfs / 51.86 hours on Core 2 Quad Q6700 (2.66GHz), Windows XP and Cygwin / Mar 2, 2008)

4·10¹⁶⁶+1 =: 4(0)₁₆₅1_<167>; = 13 · 41 · 4517 · 152421337841_<12> · 941160476969540120952877_<24> · 338717486802811900673981008844119653096357974239957_<51> · 341928753479598700237304527485927308118819144008567869244980664981674968409_<75> (Serge Batalov / Msieve 1.36 snfs / 23.50 hours on Opteron-2.6GHz; Linux x86_64 / Aug 22, 2008)

4·10¹⁶⁷+1 =: 4(0)₁₆₆1_<168>; = 7 · 1171 · 321850576013_<12> · 452834568437_<12> · 334819846493942686654911244234336665685732640496966982512267869273961723073832542974680534405433160996863130567626286114687860700987297851293_<141>

4·10¹⁶⁸+1 =: 4(0)₁₆₇1_<169>; = 457 · 108533 · 409730312389_<12> · 93411933000652685441898259747177_<32> · 52255203297194322487918784669188516128517_<41> · 40322921276290620277618877465920528643175473599262864740732386428828904824821_<77>

4·10¹⁶⁹+1 =: 4(0)₁₆₈1_<170>; = 317 · 769 · 145112173 · 741131087 · 1525722368634215200183830631475295084172954111987708688260657091635320684718502089815481557958855197157252102548295224312605614793133357560373856487_<148>

4·10¹⁷⁰+1 =: 4(0)₁₆₉1_<171>; = 89 · 809 · 12037 · 389533 · 50122020190096192578898087923762046470485403737718517_<53> · 23639069626409130088066491289529080774163216816334627185245521359044363228829638540915634190946573122893_<104> (Kenji Ibusuki / GGNFS-0.77.1 snfs / 78.39 hours on Core 2 Quad Q6700 (2.66GHz), Windows XP and Cygwin / Mar 20, 2008)

4·10¹⁷¹+1 =: 4(0)₁₇₀1_<172>; = 23 · 41 · 641 · 55305917 · 571780967537331426467595011_<27> · 983788565105385106532942023_<27> · 3392183977152881040429986688657533088590419_<43> · 62705813661270651499429351472678860702534232323580249870005333_<62> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P43 x P62 / 10.75 hours on Cygwin on AMD XP 2700+ / Mar 26, 2007)

4·10¹⁷²+1 =: 4(0)₁₇₁1_<173>; = 13 · 293 · 6317 · 10821849037_<11> · 1421625392482859915483832616008001758580123586608198873632381915389763080921_<76> · 108056649779213250338622526245609523248658330816513865559158044196250326196011521_<81>

4·10¹⁷³+1 =: 4(0)₁₇₂1_<174>; = 7 · 19 · 19081 · 1380947158352491_<16> · 1031387844700915926546275570854626898299232457527_<49> · 4950984722498265333902822196208270860948138231881_<49> · 22352008973784616122462526641600512964655392476154917761_<56> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 92.56 hours on Core 2 Quad Q6700 / Oct 16, 2008)

4·10¹⁷⁴+1 =: 4(0)₁₇₃1_<175>; = 21669802129_<11> · 90895849637269554525310385291775885388075787009_<47> · 2030771183197325350577624750920707697746469994254856700264575730266390155389375430973873995208761043763694185654787441_<118> (matsui / GGNFS-0.77.1-20060513-pentium-m snfs / 105.95 hours / Jul 14, 2008)

4·10¹⁷⁵+1 =: 4(0)₁₇₄1_<176>; = 16811 · 33374333358396914109100082498630504183786129383_<47> · 105371111708302205780401868932937382113312422601077_<51> · 676600448832315856534571187702619060715236193076202145589311912099919790801_<75> (matsui / GGNFS-0.77.1-20060513-prescott snfs / Feb 8, 2008)

4·10¹⁷⁶+1 =: 4(0)₁₇₅1_<177>; = 41 · 53 · 61 · 113 · 1013 · 430121 · 11426141 · 80884901 · 6252736601_<10> · 18689267390859149292717056482637255317654199244915941552355138149_<65> · 567495530173653267529874247825892220316564875841726498015299495959356337_<72>

4·10¹⁷⁷+1 =: 4(0)₁₇₆1_<178>; = 127 · 6659 · 9739 · 69371 · 1058602893359918430986584487_<28> · 6613355335599340569623394994644333734548049640883060507455398558497289708022568396139682510787269921256324528401245789362207525550004619_<136>

4·10¹⁷⁸+1 =: 4(0)₁₇₇1_<179>; = 13 · 566167021042476149422414249581680453_<36> · 6061095723787709816177996585617442722607441719998843595973408858077_<67> · 896645819043518706309661143084647289327440781070529452934200366627156144117_<75> (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=531751960 for P36 / Mar 26, 2007) (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 59.57 hours on Core 2 Quad Q6700 / Mar 8, 2009)

4·10¹⁷⁹+1 =: 4(0)₁₇₈1_<180>; = 7 · 18457340200388066441_<20> · 6004231495142581556980974994915411_<34> · 515626709759236369230555350134883854087864590105169849025864162520888571350730707352467835084057429485986388639654825004337893_<126> (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=2723994585 for P34 / Mar 26, 2007)

4·10¹⁸⁰+1 =: 4(0)₁₇₉1_<181>; = 17 · 233 · 11113 · 60107617 · 5525523109177_<13> · 18966827428229747257_<20> · 84774463712793346273_<20> · 470115515406025639190126858917694761_<36> · 361956680025158803047826849991830275331755207987544646460405310663321715919113_<78>

4·10¹⁸¹+1 =: 4(0)₁₈₀1_<182>; = 41 · 1619 · 39293 · 30576859493_<11> · 241401448929077_<15> · 2077692861147390086533008886417768067467725384178251411463577449555727370531714620689079810440916876471502278084657087636963275443748788347824202503_<148>

4·10¹⁸²+1 =: 4(0)₁₈₁1_<183>; = 1160317 · 413745536263432081_<18> · 30385872315370452048023578488339493475461704437_<47> · 27420685405397558932205897020211411740511536898793314180500096877831147046352018738909437880962687052207823325649_<113> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 87.22 hours on Core 2 Quad Q6700 / Mar 12, 2009)

4·10¹⁸³+1 =: 4(0)₁₈₂1_<184>; = 571331 · 17022010645669213_<17> · 411302495331540351096624737709336167001799823065120271742613631066484339478569900893608595236556946204914561093603844242212191786134503556784400139088557339624167_<162>

4·10¹⁸⁴+1 =: 4(0)₁₈₃1_<185>; = 13 · 181 · 197 · 269 · 1945721 · 714653561 · 74953971409_<11> · 404456814671197_<15> · 6235763129526027221_<19> · 2760112522862723807812664721033907942981_<40> · 442140427088359732723919401655352200442156534928655623582787212323205365610813_<78>

4·10¹⁸⁵+1 =: 4(0)₁₈₄1_<186>; = 7² · 11387136743730658714583956573_<29> · 716884805183080328390151232007836066382576126466769923060288875148399148124935727379700456665628633735390872417050473157442542103739431462713157977652619013_<156>

4·10¹⁸⁶+1 =: 4(0)₁₈₅1_<187>; = 41 · 1277 · 10302637 · 18930161 · 391726120432932548967124005640017420299524591508036017422310707844564674476058001102379920105794482705962546997707950441216394877921057009240485597529605804457857401649_<168>

4·10¹⁸⁷+1 =: 4(0)₁₈₆1_<188>; = 173 · 466357 · 17220341786228465534537012038573242088381604649445961_<53> · 28790792619619581217940562985478392520067468106423516010341011616813295711690892727971687568687842629056533596007927442531799081_<128> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 123.18 hours on Core 2 Quad Q6700 / Mar 17, 2009)

4·10¹⁸⁸+1 =: 4(0)₁₈₇1_<189>; = 29 · 3121 · 87442273 · 47981418968173_<14> · 741548670319163677_<18> · 469477203241985275180141_<24> · 887855725323927778428067905829036736061102263034655095257_<57> · 3407823789490258686400384521327420200673346836273759228105068009_<64>

4·10¹⁸⁹+1 =: 4(0)₁₈₈1_<190>; = 53 · 18077 · 2643247 · 96964568413_<11> · 3643105412001703_<16> · 13506270059310058545933600271041349759458769588496747569910410889_<65> · 331054716915185039351115638053193982176316954185352183355312068630530447500029226468933_<87> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 141.02 hours on Core 2 Quad Q6700 / Mar 23, 2009)

4·10¹⁹⁰+1 =: 4(0)₁₈₉1_<191>; = 13 · 3929 · 749212249 · 29090728066409_<14> · 35931483680231802283901933540889672060081039517709758737692657346760870151470055777789795773004731558783470983290996179404117750527088920858749286063304888393298893_<164>

4·10¹⁹¹+1 =: 4(0)₁₉₀1_<192>; = 7 · 19 · 41 · 647 · 46903543 · 4164599914798824246547757_<25> · 765226605021062082766257793518013247_<36> · 758492370060731172732749892408126693839219951872236949815340112500285954615089467270693873387494136665940937734088263_<117> (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=3120847556 for P36 / Apr 14, 2007)

4·10¹⁹²+1 =: 4(0)₁₉₁1_<193>; = 109 · 6581 · 26096209 · 6867491821_<10> · 59570268209_<11> · 273203515315421_<15> · 24631420088448566099321_<23> · 26230629738266686917601_<23> · 1649861139458928415606764241_<28> · 1793513415513160594803114592713415561157304692799480329352881941524270449_<73>

4·10¹⁹³+1 =: 4(0)₁₉₂1_<194>; = 23 · 47 · 9641387878495279411_<19> · 3837909611610355848177122629200006844797882368715559135086528572099369204241254419822350508391343985371943871062052253656604854487110794376292596221461942865984755780601811_<172>

4·10¹⁹⁴+1 =: 4(0)₁₉₃1_<195>; = 721324202162977116296517293557_<30> · 230366834312643340988031253121778481_<36> · 4539551603725680577678687090612374940158174209_<46> · 530269411486144259272416902466941069870793165414892485082648513501276740375531374317_<84> (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=2362285868 for P30 / Mar 26, 2007) (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=2436293813 for P36 / Apr 21, 2007) (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=632711195 for P46 / Jul 27, 2007)

4·10¹⁹⁵+1 =: 4(0)₁₉₄1_<196>; = 161971 · 4235420235990630674411_<22> · 1782770591401940738293939_<25> · 3270625053699212080692362493772858750666560394798793476886954585597967393938023443092469894332061712616542478561422647444539097061183051509475339_<145>

4·10¹⁹⁶+1 =: 4(0)₁₉₅1_<197>; = 13 · 17 · 41² · 25889 · 118801 · 553769 · 33209893 · 1013068290246913_<16> · 18806089121412281873_<20> · 14213662795471783729249_<23> · 142851133452691513013398945489_<30> · 49208667527925948973221056694552522133283274195899584254244124598255278818709511593_<83>

4·10¹⁹⁷+1 =: 4(0)₁₉₆1_<198>; = 7 · 251 · 5093190443767_<13> · 1918281337544801_<16> · 23301614476086791174193268524783637900374553651086479598676942509371151606132217635609620426691548453826094285457806633452456767854973084897460444026604823399971309779_<167>

4·10¹⁹⁸+1 =: 4(0)₁₉₇1_<199>; = 601 · 929931633094791878075356891588302829966299262696914473414281_<60> · 7157057364649085307661377430067986943422261055343880321564902746003515911775225750122658781467332419066410898034428685018858357725799521_<136> (Wataru Sakai / Msieve / 598.43 hours / Mar 3, 2009)

4·10¹⁹⁹+1 =: 4(0)₁₉₈1_<200>; = 14092207 · 27329994207449_<14> · 103858354572756598961544410066501676256846583840753041387052260431908902185135719697115097666505659907583087248314673208582579183479386989196198354232004355351786310608896508872807_<180>

4·10²⁰⁰+1 =: 4(0)₁₉₉1_<201>; = 31541 · 51001 · 329257 · 1593797 · 18155779891740157_<17> · 596998838337353504040649_<24> · 173113057012428875682266741_<27> · 3955770714637851776058805084888354384537087623653_<49> · 63839354599755592537240016160672526653527833995247027347015572381_<65>

4·10²⁰¹+1 =: 4(0)₂₀₀1_<202>; = 41 · 5121931 · 103849329299_<12> · 13503675809573_<14> · 587861201947289_<15> · 1860750042755447209_<19> · 2795453108496978738236562037_<28> · 1684776046154235009517333610464790582051_<40> · 2636510377862930365366650606354695539107142487471106263373162893880619_<70> (Robert Backstrom / GGNFS 0.77.1-20051202-athlon, Msieve-1.38 gnfs for P40 x P70 / 13.15 hours / Nov 4, 2008)

4·10²⁰²+1 =: 4(0)₂₀₁1_<203>; = 13 · 53 · 401 · 57046808129_<11> · [2537844725803420328887628871520761614880751052460146328527456957132886335150680835789893810531480123336261822484061148938746550767856006587355156604026683746870394258989020154920033813121_<187>] SUBMIT/RESERVE

4·10²⁰³+1 =: 4(0)₂₀₂1_<204>; = 7 · 641 · 3996493212534098134156111341457064136963014957402517508990780184800320983_<73> · 22306161491827264164393810143013170259394176192731199083359389215809287265225238597639960484443643575958988629141966737446379681_<128> (Wataru Sakai / Msieve / 858.79 hours / May 8, 2009)

4·10²⁰⁴+1 =: 4(0)₂₀₃1_<205>; = 157 · 977 · 1097 · 117757 · 119929 · 130729 · 14788601 · 112700188358977_<15> · 1011168875778642564121_<22> · 1145752847230341104854444689755408827131862665943263929_<55> · 6668219558002128682158806103505276064352507360154596086811797813918493447153374881817_<85>

4·10²⁰⁵+1 =: 4(0)₂₀₄1_<206>; = 49048739 · 1340576829415582072376659_<25> · 608331683217417163805795747590704069377173907054777153930489027864772074508375822311131626385934663449597573367164604502335486269650432180157579535254123979829571693432017001_<174>

4·10²⁰⁶+1 =: 4(0)₂₀₅1_<207>; = 41 · 8489980721_<10> · 161526918197_<12> · [7114174660887854407099735279552768567975447775889485639308197414413047384214596937261624900165811916454247301130285700502809428934070044673805784027735425317950885687310291320100698853_<184>] SUBMIT/RESERVE

4·10²⁰⁷+1 =: 4(0)₂₀₆1_<208>; = 2137537151086140780378598137246884887064851_<43> · 2812726946992196303955780250469663669810710081_<46> · 4510386964277796118081223118223701478503227449062032837_<55> · 147504388817832250629782059406052001349839987803889705588283463583_<66> (Robert Backstrom / GMP-ECM 6.2.1 B1=3628000, sigma=3845259699 for P43, GGNFS-0.77.1-20050930-k8, Msieve 1.39 snfs / 101.97 hours, 17.25 hours / Jan 6, 2009)

4·10²⁰⁸+1 =: 4(0)₂₀₇1_<209>; = 13 · 733 · 4513 · 46589 · 218233 · 8623123641424928553601_<22> · 275759473220416681288561_<24> · 36106110373082818812350759763661_<32> · 1060615417762646572618195239987309218160726413_<46> · 1004638515256209055038246038744545150819657528797448156508330342617613_<70> (Makoto Kamada / GMP-ECM 6.2.1 B1=250000, sigma=696637667 for P32 / Oct 31, 2008)

4·10²⁰⁹+1 =: 4(0)₂₀₈1_<210>; = 7 · 19 · 3868312352905881234614717303045694938316220300630823137841921435236696906862947702213074172986063797_<100> · 777475685161057172420107889087596154100076593781412039785204592057085537200948941303744478811373723078515001_<108> (Serge Batalov / Msieve-1.39 snfs / 1000.01 hours on Opteron-2.6GHz; Linux x86_64 / Feb 17, 2009)

4·10²¹⁰+1 =: 4(0)₂₀₉1_<211>; = 5717 · 3771013 · 233278222252612529180268961_<27> · [795352357177694333348671452569428652790641294899464065463949087349711232762547917336659587218667945501839660428739324761179862903173227426390843548562501440425962047482540921_<174>] SUBMIT/RESERVE

4·10²¹¹+1 =: 4(0)₂₁₀1_<212>; = 41 · 59 · 148721 · 1332356352410729241381459477648619855405009_<43> · [83450977684793282694551706981476556088621921512009377560353348583288515960273808416054497177857020031325682869956011963367750061419815803842510520381026012953211_<161>] (Serge Batalov / GMP-ECM 6.2.1 B1=43000000, sigma=1854358772 for P43 / Feb 17, 2009) SUBMIT/RESERVE

4·10²¹²+1 =: 4(0)₂₁₁1_<213>; = 17 · 2857 · 2131693 · 70842509 · 663053414577744687381599917_<27> · 139893211207942643736922745313159710321_<39> · 23474613840481557853118432748582756807946049343049856395181_<59> · 25046014308160060753652965557111998610872516551741092521547633774020201_<71> (Makoto Kamada / Msieve-1.38 snfs for P39 x P59 / 1.62 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Nov 2, 2008)

4·10²¹³+1 =: 4(0)₂₁₂1_<214>; = 1091 · 34361 · 4269047 · 2836927429276991352710729_<25> · [8810291618252846318741362925342329396537080601641446794149478971401796137928306301441229305771806124478694771112148333660490759809147040407405323752228466732260965957031088877_<175>] SUBMIT/RESERVE

4·10²¹⁴+1 =: 4(0)₂₁₃1_<215>; = 13 · 89 · 997 · 17503955120237_<14> · 1485058612125103453932281_<25> · 1333987279362861290496004852240598783809970645042807264538099579389277668813962496788930262902451506668191857384961859976223548132387811966426431129896290637992370007605877_<172>

4·10²¹⁵+1 =: 4(0)₂₁₄1_<216>; = 7 · 23 · 53 · 1297201 · [36136906405573128456836083283356074588169542782615077068476073202232453553512225240515872685646938518198652624549390924625188636898700958827123610264233047893056133465118692496172550297971455671380039174797_<206>] SUBMIT/RESERVE

4·10²¹⁶+1 =: 4(0)₂₁₅1_<217>; = 29 · 41 · 1373 · 688512200950880259397_<21> · 50573650464010212230513357749_<29> · 995113252657683337996926110413_<30> · 41833433897402299416847516692008758830906126644136052429_<56> · 1690346080592033636898907143447681168419065457194335326431482594037873908193_<76> (Makoto Kamada / GMP-ECM 6.2.1 B1=250000, sigma=2673524017 for P30 / Nov 1, 2008)

4·10²¹⁷+1 =: 4(0)₂₁₆1_<218>; = 18686807 · 578022421484392833484314349887736849483921909178334750733_<57> · 3703225908027418809075172754492065279505406206615636647652312656725745127646139680370212557167658670799266733808441570447351849092965953387204337084674371_<154> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.39 snfs / 174.05 hours, 56.83 hours / Apr 17, 2009)

4·10²¹⁸+1 =: 4(0)₂₁₇1_<219>; = 1049 · 3529 · 108052008673334736208579275462658441387593090182097348916954197563913438455331704809475945056634109696019985299524219992809138822789573305319049217960080725655679848381421429576698152121560670797675044929375856481_<213>

4·10²¹⁹+1 =: 4(0)₂₁₈1_<220>; = 127 · 277 · 491 · 5081 · 391976229133_<12> · [116274929177068394034445168029117678023767598280205360680402098732576928860666573423761231407315435416561191203122321241025448557314927842681535803476850418852033848061983277157659261544982402004533_<198>] SUBMIT/RESERVE

4·10²²⁰+1 =: 4(0)₂₁₉1_<221>; = 13 · 1181 · 6589057 · 124219769 · 1249376837_<10> · 607021466763300821_<18> · 444449141043266291533_<21> · 42291256679033137134771637121479530755891442059584525827865339970574160993_<74> · 223296850841264041346286705754966008069735102697303194855843986237022783354244973_<81>

4·10²²¹+1 =: 4(0)₂₂₀1_<222>; = 7 · 41 · 55493239095428870021395686757_<29> · 25115279729838673041822990404411304580037176086385392155823273909673771694393791630240491096085374125051037065829934662353778187686075644790068872620199820114451706178407000835125992731217139_<191>

4·10²²²+1 =: 4(0)₂₂₁1_<223>; = 6097015972179447612468707229921763686040066157_<46> · [656058638890223304734304814532016364046521353594428916682596906758480771159191063541717990626390717402033424938857168466764328812593445093132882486910603381621639064614968488293_<177>] (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=2238052366 for P46 / Nov 7, 2008) SUBMIT/RESERVE

4·10²²³+1 =: 4(0)₂₂₂1_<224>; = 36796872653_<11> · 1087048901606556863064837913903682960358560556067373250856900749347493740122437246841211878354460222448730825298921361571286572781237165318077336771872867018887307504469080947469940958626280897382760524021100973317_<214>

4·10²²⁴+1 =: 4(0)₂₂₃1_<225>; = 257 · 459834665137_<12> · 80139003431254841_<17> · 1117554729596171621_<19> · 14062325122689483593_<20> · 2767593820315607196395314730016666048255527051377982687119041941_<64> · 971075360824875755457217544245461262021767508202022480923000915283508183947227086253070744073_<93>

4·10²²⁵+1 =: 4(0)₂₂₄1_<226>; = 31237 · 609641 · 3910997 · [53706768769429363793482678416871438245556988417973753812346805832702342873602425939717837859237868760949667888190502096723565700869017553283380850238323411769596938288424660294475642510961192383548068546243249_<209>] SUBMIT/RESERVE

4·10²²⁶+1 =: 4(0)₂₂₅1_<227>; = 13² · 41 · 797 · 7672476084343263227874361_<25> · [944051236095625745605914377984667843452266499332174506062342859837045027395377946743564230504319254831003037392991414235483922896812610601139178907120628322515230507074953238453161918168433330957_<195>] SUBMIT/RESERVE

4·10²²⁷+1 =: 4(0)₂₂₆1_<228>; = 7³ · 19 · [61377934632499616387908546877397575571582016265152677612398342795764922510357526469234310265459567285560840877704465244744514347092220346785330673622832591683289857296301979438391898112628510050636796071812183520024551173853_<224>] SUBMIT/RESERVE

4·10²²⁸+1 =: 4(0)₂₂₇1_<229>; = 17 · 53 · 2381 · 21089 · 240017 · 249089 · 11728313 · 34665109 · 636573841 · 725488909 · 886678473578749_<15> · 16755502705377552397_<20> · 1214464431029862275147439736082080827831090257987254979629_<58> · 436523024418824031180581936516007205843771593262444864684074629830283990147587370053_<84>

4·10²²⁹+1 =: 4(0)₂₂₈1_<230>; = definitely prime number

4·10²³⁰+1 =: 4(0)₂₂₉1_<231>; = 173 · 9152489 · 252624037933692072393129117016709280794603547867019871028519367412710565127633681619505155525156406852192846468232931112518868386764752050324638404041274228144403616182496393190297506216062340695715876578977682142204499933_<222>

4·10²³¹+1 =: 4(0)₂₃₀1_<232>; = 41 · 209929 · 171045796291_<12> · [2717010347467939343347130234552659774894045641045205638624758005184592850265052348675393115465434200166542524093776876996697657382544681945003759096318128059998758106250775400698635118800260427085131045068090883099_<214>] SUBMIT/RESERVE

4·10²³²+1 =: 4(0)₂₃₁1_<233>; = 13 · 313 · 337 · 251621 · 469541870881_<12> · 30014273848957_<14> · 534695718389538267842639037229978253206456308162436414822347550938002366555153353_<81> · 15384615384615384615384615384615384615384615384615384615383076923076923076923076923076923076923076923076923076923077_<116>

4·10²³³+1 =: 4(0)₂₃₂1_<234>; = 7 · 12983 · 12618170294693_<14> · [348811271163252370210612734963523254646594918249087302660630940511337621609010871181668602767014545497037982893129583986945293766246967995915927305014200045819794612475555563990563745183513376198670997494006657169197_<216>] SUBMIT/RESERVE

4·10²³⁴+1 =: 4(0)₂₃₃1_<235>; = 101844481261409_<15> · 15083067110761453_<17> · 166470474810555341081321_<24> · 281722440676563078737805904561_<30> · 59520510316289955705069974366831129_<35> · 932840774605491827367365884272243625937825837089740051536226422913469229092335449597657018460854220557450573143028437_<117> (Makoto Kamada / GMP-ECM 6.2.1 B1=250000, sigma=2491282100 for P30 / Nov 2, 2008) (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3553856087 for P35 / Nov 21, 2008)

4·10²³⁵+1 =: 4(0)₂₃₄1_<236>; = 641 · 44263 · 3599263 · 255771973 · [1531420938188728041214984401352764501050633556642489973449593447222970594261678986679807241176397024478176940208080798998544701073339370228454551033485760402630490577887063288585986334172111919571072864381860838453_<214>] SUBMIT/RESERVE

4·10²³⁶+1 =: 4(0)₂₃₅1_<237>; = 41 · 61 · 117544433 · 128559502397_<12> · 645204292022947594566560089_<27> · 6699286506274141797109815307016926080793_<40> · 619463214764350244902246724110519391574061961990845426302616569085969_<69> · 3952744382511096329705320980593637243303419285421995417863091081509746384257377_<79> (Makoto Kamada / Msieve-1.38 snfs for P40 x P69 / 1.62 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Nov 2, 2008)

4·10²³⁷+1 =: 4(0)₂₃₆1_<238>; = 23 · 727 · 1699 · 4241 · 77962531 · 123866097520553272509520813_<27> · 5083970348510261759335252157_<28> · [676230413605955129605354486014521738526895649311989696184845947638518215716542400947488253388711090435926834770951019457366341947049456598366448537219021549936677729_<165>] SUBMIT/RESERVE

4·10²³⁸+1 =: 4(0)₂₃₇1_<239>; = 13 · 11728776877_<11> · 286265807209_<12> · 44874068978343506281_<20> · 11885822804057748455895493_<26> · [1718184254006969767666540868613748026520442882758556781049489102062120376384121873812419920846762265878301044798578878546675808793908808686310443814823773914206183656088533_<172>] SUBMIT/RESERVE

4·10²³⁹+1 =: 4(0)₂₃₈1_<240>; = 7 · 47 · 41893 · 1098613 · 520512077 · [50751290197039174977112551431903899323929494349499256480302322628695135287849225834912975184531171005394421043505550569260012632282440159555947336687305498898507812826687595415993327189298091583773830362544443830680533_<218>] SUBMIT/RESERVE

4·10²⁴⁰+1 =: 4(0)₂₃₉1_<241>; = 3797 · 24977 · 275729 · 2471393 · 1295852116961_<13> · 59021635048978918237423695747967725983412277880123146182396163677350125724605798633485923954941_<95> · 809260202646847344797043610627690537279987440281654920929209559143365705090206211638537456406164458667642094964257_<114>

4·10²⁴¹+1 =: 4(0)₂₄₀1_<242>; = 41 · 53 · 22911583 · 62061919957_<11> · 12945533764740055863423747387655263309689836911130140356964096739723898369118609489119010096253343363419508321485034771592993003974361916798079643431814073169713170812165542478032908785099461498126223933439950573612980127_<221>

4·10²⁴²+1 =: 4(0)₂₄₁1_<243>; = definitely prime number

4·10²⁴³+1 =: 4(0)₂₄₂1_<244>; = 167 · 499 · 33461534459_<11> · 38246818028611_<14> · [37506091803232300246153964037751360052070199287344009701430144095005843908692475793239852205548785338336670134733234023324341872177909170724055033663717297751021566608537985327024606478204000425747591569480230901853_<215>] SUBMIT/RESERVE

4·10²⁴⁴+1 =: 4(0)₂₄₃1_<245>; = 13 · 17 · 29 · 494041 · 6360593 · 70110421 · 1063728224989_<13> · 12148418471901262420361101_<26> · 65410771359361952392693793_<26> · 2008466708215711599048187312289_<31> · 153439118336387104335313493107209665842195972706444429_<54> · 108749211544556029830506369336331342119441820820121702905724110978018201289_<75> (Makoto Kamada / Msieve 1.38 for P31 x P54 / 51 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Nov 3, 2008)

4·10²⁴⁵+1 =: 4(0)₂₄₄1_<246>; = 7 · 19 · 367885532726263369_<18> · 947255853369650441723806278949229684129_<39> · 252848348718738248054735889573081237056927_<42> · [34132509653008242561165853912022721534893950007619892142469567927036813315109428869887916909700578879631903201572254192492719450917588480799517211_<146>] (yoyo@home / GMP-ECM B1=43000000, sigma=1774910016 for P39 / Jan 30, 2010) SUBMIT/RESERVE

4·10²⁴⁶+1 =: 4(0)₂₄₅1_<247>; = 41 · 557 · 1597 · 37372533192409_<14> · 8727020049799717_<16> · [336277270197571194694599167999489364048869681650509232785741533248676206882399428414702744553461554191510107698912625436480348696350938968554576404701771244631046341141003347894755534981647251532984417755325653_<210>] SUBMIT/RESERVE

4·10²⁴⁷+1 =: 4(0)₂₄₆1_<248>; = 251 · 18797 · 85093 · 18313975459545581365621451_<26> · [5440280160228364168388954886554154956082230667821654009825515137353304533015851832287889842237427177754937406635211474521081167104083163271414973599848661004051886455901155247175357847137327435058370081960353081_<211>] SUBMIT/RESERVE

4·10²⁴⁸+1 =: 4(0)₂₄₇1_<249>; = 317 · 4349 · 25633 · 1115580458177_<13> · 234046722213975127327184686613228150778995773714719821_<54> · 17613153769512112517578753541630628864236833323216296297_<56> · 2461338222207399496484039883032285004259961128085456678539752052171509493196922687274302976705525864295840055350573941_<118> (Sinkiti Sibata / Msieve snfs / 6.26 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 3, 2008)

4·10²⁴⁹+1 =: 4(0)₂₄₈1_<250>; = 1746449 · 26733795833299_<14> · 17677918550311046578053131_<26> · 4846322688208438969819911619492873330875712349390199687135598584660142832537401299208570433227770123237467674481232936840180075956293104033604008336872481275509793405168852166511016795506306583658406071521_<205>

4·10²⁵⁰+1 =: 4(0)₂₄₉1_<251>; = 13 · 3646063837616479765543282237_<28> · 609367039316849421092272000364917_<33> · [1384884042910420165347409678795465963363534296954212246796684476356217728885736635043375826182325427543165724023466279092585820420520465533750358339478640272158255317032759385731025755994213_<190>] (Makoto Kamada / GMP-ECM 6.2.1 B1=250000, sigma=3159199225 for P33 / Nov 2, 2008) (Wataru Sakai / GMP-ECM 6.2.1 B1=1000000, sigma=1542610798 for P28 / Feb 17, 2009) SUBMIT/RESERVE

4. References

The Prime Database: The List of Largest Known Primes Home Page (Chris K. Caldwell)
A056806 (On-Line Encyclopedia of Integer Sequences)