Factorizations of 600...001

Table of contents

1. About 600...001
   • First ten terms
   • General term
2. Prime numbers of the form 600...001
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 600...001
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 600...001

First ten terms

61, 601, 6001, 60001, 600001, 6000001, 60000001, 600000001, 6000000001, 60000000001

General term

6·10ⁿ+1

2. Prime numbers of the form 600...001

Last update

Jan 19, 2009

Searched up to

n≤10000

Difficulty of search

24.96%

Results

1. 6·10¹+1 = 61 is prime.
2. 6·10²+1 = 601 is prime.
3. 6·10⁸+1 = 600000001 is prime.
4. 6·10⁹+1 = 6000000001_<10> is prime.
5. 6·10¹⁵+1 = 6(0)₁₄1_<16> is prime.
6. 6·10²⁰+1 = 6(0)₁₉1_<21> is prime.
7. 6·10²⁶+1 = 6(0)₂₅1_<27> is prime.
8. 6·10³⁸+1 = 6(0)₃₇1_<39> is prime.
9. 6·10⁴⁵+1 = 6(0)₄₄1_<46> is prime.
10. 6·10⁶⁵+1 = 6(0)₆₄1_<66> is prime.
11. 6·10¹¹²+1 = 6(0)₁₁₁1_<113> is prime.
12. 6·10²⁴⁴+1 = 6(0)₂₄₃1_<245> is prime.
13. 6·10³⁰³+1 = 6(0)₃₀₂1_<304> is prime.
14. 6·10³⁹³+1 = 6(0)₃₉₂1_<394> is prime.
15. 6·10⁵⁶⁰+1 = 6(0)₅₅₉1_<561> is prime.
16. 6·10⁸³⁹+1 = 6(0)₈₃₈1_<840> is prime.
17. 6·10¹⁰⁰⁹+1 = 6(0)₁₀₀₈1_<1010> is prime.
18. 6·10¹⁰¹⁹+1 = 6(0)₁₀₁₈1_<1020> is prime.
19. 6·10¹¹⁷³+1 = 6(0)₁₁₇₂1_<1174> is prime.
20. 6·10¹³³⁴+1 = 6(0)₁₃₃₃1_<1335> is prime.
21. 6·10²²³⁶+1 = 6(0)₂₂₃₅1_<2237> is prime.
22. 6·10²⁶²⁹+1 = 6(0)₂₆₂₈1_<2630> is prime.
23. 6·10⁴⁴²⁶+1 = 6(0)₄₄₂₅1_<4427> is prime.
24. 6·10⁸⁸⁴⁸+1 = 6(0)₈₈₄₇1_<8849> is prime. (Makoto Kamada / PFGW / Jan 1, 2005)
25. 6·10⁷²⁹²⁶+1 = 6(0)₇₂₉₂₅1_<72927> is prime. (Peter Benson / Apr 19, 2005)

3. Factorizations of 600...001

Last update

Nov 4, 2009

Completed up to

• n≤100 / Jan 4, 2005
• n≤150 / Mar 31, 2007
• n≤200 / Jul 7, 2009

Range

n≤250

Terms which have not been factored yet

n=201, 203, 204, 206, 207, 208, 209, 210, 212, 213, 215, 216, 217, 218, 219, 220, 222, 223, 226, 227, 228, 231, 232, 233, 234, 235, 237, 238, 239, 240, 242, 243, 245, 246, 247, 249 (36/250)

Results

6·10¹+1 =

61

= definitely prime number

6·10²+1 =

601

= definitely prime number

6·10³+1 =

6001

= 17 · 353

6·10⁴+1 =

60001

= 29 · 2069

6·10⁵+1 =

600001

= 19 · 23 · 1373

6·10⁶+1 =

6000001

= 7² · 122449

6·10⁷+1 =

60000001

= 151 · 397351

6·10⁸+1 =

600000001

= definitely prime number

6·10⁹+1 =

6000000001_<10>

= definitely prime number

6·10¹⁰+1 =

60000000001_<11>

= 31 · 293 · 6605747

6·10¹¹+1 =

600000000001_<12>

= 53 · 11320754717_<11>

6·10¹²+1 =

6000000000001_<13>

= 7 · 4513 · 4903 · 38737

6·10¹³+1 =

60000000000001_<14>

= 139 · 34759 · 12418501

6·10¹⁴+1 =

600000000000001_<15>

= 1567 · 3967 · 96520609

6·10¹⁵+1 =

6000000000000001_<16>

= definitely prime number

6·10¹⁶+1 =

60000000000000001_<17>

= 15467 · 3879226740803_<13>

6·10¹⁷+1 =

600000000000000001_<18>

= 467 · 1284796573875803_<16>

6·10¹⁸+1 =

6000000000000000001_<19>

= 7 · 340335059 · 2518526477_<10>

6·10¹⁹+1 =

60000000000000000001_<20>

= 17 · 167 · 21134202183867559_<17>

6·10²⁰+1 =

600000000000000000001_<21>

= definitely prime number

6·10²¹+1 =

6000000000000000000001_<22>

= 47 · 2333 · 54719063209637851_<17>

6·10²²+1 =

60000000000000000000001_<23>

= 6271 · 2650266823_<10> · 3610146697_<10>

6·10²³+1 =

600000000000000000000001_<24>

= 19 · 31578947368421052631579_<23>

6·10²⁴+1 =

6000000000000000000000001_<25>

= 7 · 53 · 16172506738544474393531_<23>

6·10²⁵+1 =

60000000000000000000000001_<26>

= 31 · 773 · 2503860117681425531027_<22>

6·10²⁶+1 =

600000000000000000000000001_<27>

= definitely prime number

6·10²⁷+1 =

6000000000000000000000000001_<28>

= 23 · 361754506133_<12> · 721123194859339_<15>

6·10²⁸+1 =

60000000000000000000000000001_<29>

= 4801 · 12497396375755051031035201_<26>

6·10²⁹+1 =

600000000000000000000000000001_<30>

= 278581 · 6075673039_<10> · 354491121990739_<15>

6·10³⁰+1 =

6000000000000000000000000000001_<31>

= 7 · 59 · 399796009 · 36338144226746427053_<20>

6·10³¹+1 =

60000000000000000000000000000001_<32>

= 1051 · 57088487155090390104662226451_<29>

6·10³²+1 =

600000000000000000000000000000001_<33>

= 29 · 317 · 27697 · 14706583 · 160232083892316607_<18>

6·10³³+1 =

6000000000000000000000000000000001_<34>

= 17207 · 348695298425059568780147614343_<30>

6·10³⁴+1 =

60000000000000000000000000000000001_<35>

= 83 · 1361401 · 16294553140421_<14> · 32587019298007_<14>

6·10³⁵+1 =

600000000000000000000000000000000001_<36>

= 17 · 353 · 562789 · 58641017 · 3029566777980005477_<19>

6·10³⁶+1 =

6000000000000000000000000000000000001_<37>

= 7 · 439 · 138577 · 12242047 · 1150915641512450972623_<22>

6·10³⁷+1 =

60000000000000000000000000000000000001_<38>

= 53 · 113 · 4099 · 21061 · 116048633486792236701987331_<27>

6·10³⁸+1 =

600000000000000000000000000000000000001_<39>

= definitely prime number

6·10³⁹+1 =

6000000000000000000000000000000000000001_<40>

= 2179 · 56659 · 2309994469_<10> · 21038471059992518119189_<23>

6·10⁴⁰+1 =

60000000000000000000000000000000000000001_<41>

= 31 · 2825470447_<10> · 27466192401587_<14> · 24940222831319339_<17>

6·10⁴¹+1 =

600000000000000000000000000000000000000001_<42>

= 19 · 109 · 84405537443_<11> · 3432418325247921334256483117_<28>

6·10⁴²+1 =

6000000000000000000000000000000000000000001_<43>

= 7 · 5431 · 12611 · 64783 · 193180295584722199571106305381_<30>

6·10⁴³+1 =

60000000000000000000000000000000000000000001_<44>

= 13997 · 43651 · 9395926339974827_<16> · 10451592942449592229_<20>

6·10⁴⁴+1 =

600000000000000000000000000000000000000000001_<45>

= 141773 · 1978299179_<10> · 2139270735658099657022956290703_<31>

6·10⁴⁵+1 =

6000000000000000000000000000000000000000000001_<46>

= definitely prime number

6·10⁴⁶+1 =

60000000000000000000000000000000000000000000001_<47>

= 107 · 121591 · 187183537 · 530372671 · 97554764141_<11> · 476177392039_<12>

6·10⁴⁷+1 =

600000000000000000000000000000000000000000000001_<48>

= 2657 · 3412861 · 7095600047_<10> · 9325067142016844694550010779_<28>

6·10⁴⁸+1 =

6000000000000000000000000000000000000000000000001_<49>

= 7² · 1087 · 2537895020703233808083_<22> · 44386609518255148449269_<23>

6·10⁴⁹+1 =

60000000000000000000000000000000000000000000000001_<50>

= 23 · 1160567 · 79918334330375449_<17> · 28125922333383127880650489_<26>

6·10⁵⁰+1 =

600000000000000000000000000000000000000000000000001_<51>

= 53 · 6139787 · 1843835090204453684707905683569730866854391_<43>

6·10⁵¹+1 =

6000000000000000000000000000000000000000000000000001_<52>

= 17 · 1159657247701_<13> · 304349562916359881714040088241074414253_<39>

6·10⁵²+1 =

60000000000000000000000000000000000000000000000000001_<53>

= 71983 · 42544643 · 538230961 · 1760325991_<10> · 25575186779_<11> · 808529429401_<12>

6·10⁵³+1 =

600000000000000000000000000000000000000000000000000001_<54>

= 1697 · 269719 · 86687632287383_<14> · 15121703768958887835334579829329_<32>

6·10⁵⁴+1 =

6000000000000000000000000000000000000000000000000000001_<55>

= 7 · 751 · 13297 · 55807 · 56123 · 1804287570049_<13> · 15188828999489696506752821_<26>

6·10⁵⁵+1 =

60000000000000000000000000000000000000000000000000000001_<56>

= 31 · 233 · 421 · 272341 · 72450020365565062097204434945389647844594767_<44>

6·10⁵⁶+1 =

600000000000000000000000000000000000000000000000000000001_<57>

= 97 · 821 · 183543234976677913_<18> · 41048564778833682869028261529146821_<35>

6·10⁵⁷+1 =

6000000000000000000000000000000000000000000000000000000001_<58>

= 394510951 · 16609273738277543_<17> · 915675395184108237016902511266257_<33>

6·10⁵⁸+1 =

60000000000000000000000000000000000000000000000000000000001_<59>

= 37718022522533_<14> · 30362036251597397_<17> · 52392779681534623367518913401_<29>

6·10⁵⁹+1 =

600000000000000000000000000000000000000000000000000000000001_<60>

= 19 · 139 · 31413541 · 7232125525589724872156509017849096384597203614621_<49>

6·10⁶⁰+1 =

6000000000000000000000000000000000000000000000000000000000001_<61>

= 7 · 29 · 1427 · 20712438855154463012762314407917674959697046061011940721_<56>

6·10⁶¹+1 =

60000000000000000000000000000000000000000000000000000000000001_<62>

= 61 · 30175681 · 79822797269482085863664027_<26> · 408354543900247203214977743_<27>

6·10⁶²+1 =

600000000000000000000000000000000000000000000000000000000000001_<63>

= 227 · 948799 · 78639923 · 35424856144656390091844500707594811445488827319_<47>

6·10⁶³+1 =

6000000000000000000000000000000000000000000000000000000000000001_<64>

= 53 · 113207547169811320754716981132075471698113207547169811320754717_<63>

6·10⁶⁴+1 =

60000000000000000000000000000000000000000000000000000000000000001_<65>

= 10687 · 313365290753887_<15> · 17916144227131827201852468716406014412728509729_<47>

6·10⁶⁵+1 =

600000000000000000000000000000000000000000000000000000000000000001_<66>

= definitely prime number

6·10⁶⁶+1 =

6000000000000000000000000000000000000000000000000000000000000000001_<67>

= 7 · 34301 · 687684769 · 766609859 · 236954946916397_<15> · 200039998745866188690389568389_<30>

6·10⁶⁷+1 =

60000000000000000000000000000000000000000000000000000000000000000001_<68>

= 17 · 47 · 353 · 19514377061177_<14> · 10901219223968945662565276355575405434276865620279_<50>

6·10⁶⁸+1 =

600000000000000000000000000000000000000000000000000000000000000000001_<69>

= 32696453 · 39987656127484812945413_<23> · 458906976273972267247081993747004432809_<39>

6·10⁶⁹+1 =

6000000000000000000000000000000000000000000000000000000000000000000001_<70>

= 181 · 443 · 36345923 · 63717801782714753_<17> · 4504187740385421017_<19> · 7173580535919808948789_<22>

6·10⁷⁰+1 =

60000000000000000000000000000000000000000000000000000000000000000000001_<71>

= 31 · 16661 · 557329 · 208437977492853009591329927228441927726791535728566959311859_<60>

6·10⁷¹+1 =

600000000000000000000000000000000000000000000000000000000000000000000001_<72>

= 23 · 10782263 · 48914360697607819366223_<23> · 49462619410288208457262695434014159560863_<41>

6·10⁷²+1 =

6000000000000000000000000000000000000000000000000000000000000000000000001_<73>

= 7 · 2939 · 291644388275895591308997229378311378991882564526320906041899577115637_<69>

6·10⁷³+1 =

60000000000000000000000000000000000000000000000000000000000000000000000001_<74>

= 199 · 10717141 · 7987068823361803464866907998419_<31> · 3522344282723659121878623661414681_<34>

6·10⁷⁴+1 =

600000000000000000000000000000000000000000000000000000000000000000000000001_<75>

= 71713 · 115133 · 677749129 · 5610899309_<10> · 19109621937767939368004201654255332549309559329_<47>

6·10⁷⁵+1 =

6000000000000000000000000000000000000000000000000000000000000000000000000001_<76>

= 83 · 72289156626506024096385542168674698795180722891566265060240963855421686747_<74>

6·10⁷⁶+1 =

60000000000000000000000000000000000000000000000000000000000000000000000000001_<77>

= 53 · 6793 · 187393 · 34863869 · 2078513971403_<13> · 5504690659859_<13> · 22708640191786349_<17> · 98176563304319309_<17>

6·10⁷⁷+1 =

600000000000000000000000000000000000000000000000000000000000000000000000000001_<78>

= 19 · 11813 · 653722299549164948784877973_<27> · 4089254551558801036157589009223360059576611971_<46>

6·10⁷⁸+1 =

6000000000000000000000000000000000000000000000000000000000000000000000000000001_<79>

= 7 · 1664867 · 3961039 · 14625232591_<11> · 370787449092414981629_<21> · 23968272859703472959773937285158849_<35>

6·10⁷⁹+1 =

60000000000000000000000000000000000000000000000000000000000000000000000000000001_<80>

= 285031 · 210503418926362395669242994621637646431440790650841487417158133676687798871_<75>

6·10⁸⁰+1 =

600000000000000000000000000000000000000000000000000000000000000000000000000000001_<81>

= 5113 · 117347936632114218658321924506160766673185996479561901036573440250342264815177_<78>

6·10⁸¹+1 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000001_<82>

= 111949 · 35737634987_<11> · 126145676809_<12> · 699274404521801727955091123_<27> · 17001420921467775458006288461_<29>

6·10⁸²+1 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000001_<83>

= 151 · 34613 · 25862357294843_<14> · 4493360119456930454809_<22> · 98786074257911359306215236531947566825721_<41>

6·10⁸³+1 =

600000000000000000000000000000000000000000000000000000000000000000000000000000000001_<84>

= 17 · 25171 · 2600783 · 17366897 · 308604441953_<12> · 44059979703527_<14> · 2283121624258682255324277559118476008803_<40>

6·10⁸⁴+1 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<85>

= 7 · 197 · 9221 · 31177 · 7568527 · 39290123 · 108401984385654685133_<21> · 469507629407253139906085225665498575799_<39>

6·10⁸⁵+1 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<86>

= 31 · 6827 · 876677 · 12147559 · 966625438653914723_<18> · 27540562330104221469572957255891172036635636735957_<50>

6·10⁸⁶+1 =

600000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<87>

= 1327 · 76753 · 12337057 · 17415121 · 3705060199_<10> · 7400339291663857765484830291991875052756503510426252057_<55>

6·10⁸⁷+1 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<88>

= 453451 · 505643 · 18622367 · 180045788879165581_<18> · 7804750743261622757311259350760834146985607834180691_<52>

6·10⁸⁸+1 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<89>

= 29² · 59 · 3581 · 34033 · 1786637 · 12971069 · 3326205203_<10> · 73699717159_<11> · 1746512648577745608670770637652515241481683_<43>

6·10⁸⁹+1 =

600000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<90>

= 53 · 593 · 19090648763880492538738108116707499443189411053485634286805179929364599573642177606669_<86>

6·10⁹⁰+1 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<91>

= 7² · 2383 · 1454612251783_<13> · 38583854261803063891061_<23> · 915542013048253542684782683675913912809936371430181_<51>

6·10⁹¹+1 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<92>

= 229 · 5449 · 3936971760167_<13> · 12213402240021839572649954565734941302776408893963263345101942272443728243_<74>

6·10⁹²+1 =

600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<93>

= 509 · 174990711565745028168904901757395757001_<39> · 6736254254849041911313042640073220109096970044505389_<52>

6·10⁹³+1 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<94>

= 23 · 3889 · 12421 · 122243852122547_<15> · 44177575990804917577240031942529437755601646590367341215467242111773609_<71>

6·10⁹⁴+1 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<95>

= 1229 · 81139505539820154437_<20> · 601681988108295251598063284083437223829862273056653086908294981183123137_<72>

6·10⁹⁵+1 =

600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<96>

= 19 · 15527 · 299146613 · 14953622366592442973291661206155279_<35> · 454652514628133701293284270253908633856234072151_<48> (Makoto Kamada / GGNFS-0.70.8 / 0.27 hours)

6·10⁹⁶+1 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<97>

= 7 · 377183428187_<12> · 18860663840080796999105381_<26> · 120487954732241877019878624151198513351556109280299078280369_<60>

6·10⁹⁷+1 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<98>

= 56207 · 2080630904836525863529_<22> · 513057215195251896718766661771109556220731994182841655274064438564486167_<72>

6·10⁹⁸+1 =

600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<99>

= 576897077 · 463697380804547191_<18> · 2242943165869171747348094295096124663610560630080590487050517465963032843_<73>

6·10⁹⁹+1 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<100>

= 17 · 107 · 353 · 9344237019686750027643367849906635498444963222640463349566349533644704075800450703698916224243_<94>

6·10¹⁰⁰+1 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<101>

= 31 · 10988671 · 256470851428667_<15> · 6445130741893997272288850119_<28> · 106555198029917904757934072544719944133911203314837_<51>

6·10¹⁰¹+1 =

6(0)₁₀₀1_<102>

= 349 · 362549619674618223167_<21> · 4741965277137344047882581864905450007182542675222783233872004976836277282239947_<79>

6·10¹⁰²+1 =

6(0)₁₀₁1_<103>

= 7 · 53 · 659 · 529687 · 46331100053136927844437500771763677444507250136372992673418064800026514466955569321510517807_<92>

6·10¹⁰³+1 =

6(0)₁₀₂1_<104>

= 243629701591_<12> · 40304843805077_<14> · 51901639078658911183463_<23> · 117728795678308022566270071685994524524193885160094796861_<57>

6·10¹⁰⁴+1 =

6(0)₁₀₃1_<105>

= 37370640967135726343267_<23> · 9203784399467016788249685113729690619419_<40> · 1744432892227357395735142027143932533665937_<43> (Makoto Kamada / Msieve 1.17 for P40 x P43 / Mar 28, 2007)

6·10¹⁰⁵+1 =

6(0)₁₀₄1_<106>

= 139 · 738929844829893537529_<21> · 28570752196990754353494572179370181595997_<41> · 2044615119347519919559849474950280720223543_<43> (Makoto Kamada / Msieve 1.17 for P41 x P43 / Mar 28, 2007)

6·10¹⁰⁶+1 =

6(0)₁₀₅1_<107>

= 29401 · 6685671247_<10> · 369696101861_<12> · 51940802628894500623_<20> · 15896100624996536948021898679570060061241584509024461214768661_<62>

6·10¹⁰⁷+1 =

6(0)₁₀₆1_<108>

= 3301 · 188417 · 164052409 · 5880348011941284246615854413500342753034392574740915407786860158576275770540964336501180117_<91>

6·10¹⁰⁸+1 =

6(0)₁₀₇1_<109>

= 7 · 727 · 269089 · 116960511029_<12> · 6063254605249_<13> · 669060346041879059651_<21> · 9234481200250125127176894322385720240709107656511138911_<55>

6·10¹⁰⁹+1 =

6(0)₁₀₈1_<110>

= 7822741 · 12580929070333423746767_<23> · 609648605752542018869682610829436145583707994320866899932711993373999617005237683_<81>

6·10¹¹⁰+1 =

6(0)₁₀₉1_<111>

= 17713 · 33075221 · 13415324383775158973_<20> · 76340534197621381168700453218973975001163815611335044871304764485517103259263569_<80>

6·10¹¹¹+1 =

6(0)₁₁₀1_<112>

= 317 · 2136234618410849156029_<22> · 842291613546434840273761021908166265719_<39> · 10519147937640716926880457101711532119600907985103_<50> (Makoto Kamada / Msieve 1.17 for P39 x P50 / Mar 28, 2007)

6·10¹¹²+1 =

6(0)₁₁₁1_<113>

= definitely prime number

6·10¹¹³+1 =

6(0)₁₁₂1_<114>

= 19 · 47 · 557 · 1193 · 1759 · 4021 · 4217 · 33900073442377684574112498516882213832532833600600564042656027111525885319259392813402783988539_<95>

6·10¹¹⁴+1 =

6(0)₁₁₃1_<115>

= 7 · 49599570081656020724913841661_<29> · 17281255779671851243059588271315196225145084333965975289768881624112485132674005882563_<86>

6·10¹¹⁵+1 =

6(0)₁₁₄1_<116>

= 17 · 23 · 31 · 53 · 10193 · 694401711828655092792949_<24> · 1281308932338524719016033_<25> · 40539413087936983301001961_<26> · 254034564641855352598667465918297_<33>

6·10¹¹⁶+1 =

6(0)₁₁₅1_<117>

= 29 · 83 · 131 · 685813586041_<12> · 1844456395138388719546644007583570020351357048013_<49> · 1504282446191996744686075825671917165322581155319641_<52> (Shaopu Lin / GGNFS-0.77.1-20060722-pentium4 / 1.68 hours on Pentium 4 2.80GHz / Mar 29, 2007)

6·10¹¹⁷+1 =

6(0)₁₁₆1_<118>

= 19249 · 104513 · 84949547191298834829861938440359659209_<38> · 35108453167910401652183651057262560059278692771200689617890345494466697_<71> (Shaopu Lin / GGNFS-0.77.1-20060722-pentium4 / 2.30 hours on Pentium 4 2.80GHz / Mar 29, 2007)

6·10¹¹⁸+1 =

6(0)₁₁₇1_<119>

= 2411 · 987542448413_<12> · 52015854024587_<14> · 4130272925600541901178462189_<28> · 117296157088580226224056755910106397663849713852624571466192849_<63>

6·10¹¹⁹+1 =

6(0)₁₁₈1_<120>

= 57543559 · 10426883745581325618041803775119297018107621740949321539183907620312466248394542297948585349057050850817204406839_<113>

6·10¹²⁰+1 =

6(0)₁₁₉1_<121>

= 7 · 21247 · 801463667 · 27355202177207582747_<20> · 8471936362176685853698170750873328576488389_<43> · 217194658091737425168747728304628592086097429_<45> (Makoto Kamada / Msieve 1.17 for P43 x P45 / Mar 28, 2007)

6·10¹²¹+1 =

6(0)₁₂₀1_<122>

= 61 · 252471385973041681_<18> · 3895913010443395142052463046808468849591523951821310370343831754337081720480312214147822474048551205061_<103>

6·10¹²²+1 =

6(0)₁₂₁1_<123>

= 1951 · 154619 · 1988983227431523625230622190849179449444735386649339263584065100428785335666892435047821737006964580574537628776429_<115>

6·10¹²³+1 =

6(0)₁₂₂1_<124>

= 677 · 85482211 · 46731777018239824577493857223667185843576140952323_<50> · 2218577168058000218769466780291988857687020303171346242507278821_<64> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 1.95 hours on Core 2 Duo E6300@2.33GHz / Mar 28, 2007)

6·10¹²⁴+1 =

6(0)₁₂₃1_<125>

= 344209 · 56280827 · 3097195063457860009522337786495159196439749744481215793546730363286460601958790340899822844604035083233374808707_<112>

6·10¹²⁵+1 =

6(0)₁₂₄1_<126>

= 2237 · 3668449819_<10> · 8271163308755950427286499111_<28> · 51476248134260390790050421143_<29> · 171723290681284284232336757421737754290876953562908401679_<57>

6·10¹²⁶+1 =

6(0)₁₂₅1_<127>

= 7 · 785261756545781_<15> · 11994069018834818454367125998411_<32> · 91006459628890919464580217746794559086729129284436424507130614642478391402153873_<80> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=4054558047 for P32 / Mar 25, 2007)

6·10¹²⁷+1 =

6(0)₁₂₆1_<128>

= 263 · 1553 · 821897 · 80977097 · 123689475752141401_<18> · 17844800569550782026356258864473158644358187707400859825983068391046935363574684890879023151_<92>

6·10¹²⁸+1 =

6(0)₁₂₇1_<129>

= 53 · 367 · 382800053 · 639224669 · 126061886020057845203330929768004199056650509960559266998271417668976313280156469855945817424565152822528243_<108>

6·10¹²⁹+1 =

6(0)₁₂₈1_<130>

= 46441 · 18431290643_<11> · 1214943511927468592389_<22> · 15906743128195327845877493_<26> · 563762750909587173399187190635729_<33> · 643369114600182232260522769188169819_<36> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1640166223 for P33 / Mar 25, 2007)

6·10¹³⁰+1 =

6(0)₁₂₉1_<131>

= 31 · 325910589480211013_<18> · 80533406104775313809314886144551_<32> · 73742017814548265755028178719963181032292046951828193081508776580982918009049717_<80> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 2.49 hours on Core 2 Duo E6300@2.33GHz / Mar 29, 2007)

6·10¹³¹+1 =

6(0)₁₃₀1_<132>

= 17² · 19 · 353 · 7577 · 40853363102957510445201825139711551633716795076125752017311613159589753090587746005643771867608180363065555099012489640531_<122>

6·10¹³²+1 =

6(0)₁₃₁1_<133>

= 7² · 347 · 36596493239037447170949018613664094139517120346108317971376267_<62> · 9642423972646013466783289114801468750815943389674239701142494172201_<67> (suberi / GGNFS-0.77.1-20060513-pentium4 / 6.36 hours on Pentium 4 2.26GHz, Windows XP and Cygwin / Mar 29, 2007)

6·10¹³³+1 =

6(0)₁₃₂1_<134>

= 4390696903639_<13> · 206718352549405901933_<21> · 366262675924266703046624692745658752739944862649_<48> · 180487069279920119803199143358086060304773059562666427_<54> (Shaopu Lin / GGNFS-0.77.1-20060722-pentium4 / 7.67 hours on Pentium 4 2.80GHz / Mar 29, 2007)

6·10¹³⁴+1 =

6(0)₁₃₃1_<135>

= 13183 · 56512788861073_<14> · 4433404553816215317147736447963746529_<37> · 95562856740921441632025329178966092257_<38> · 1900919699476513791402495760985135475898063_<43> (suberi / GGNFS-0.77.1-20060513-pentium4 / 8.00 hours on Pentium 4 2.26GHz, Windows XP / Mar 31, 2007)

6·10¹³⁵+1 =

6(0)₁₃₄1_<136>

= 6880668114947944749317742283818949380447951589_<46> · 872008342760387973294859623740096978369380316479863520578687666785407351034250325563331309_<90> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 4.93 hours on Cygwin on AMD 64 3200+ / Mar 29, 2007)

6·10¹³⁶+1 =

6(0)₁₃₅1_<137>

= 287271635614354961093_<21> · 41930632229393576833881200665999_<32> · 4981121010552314579673023411353830652553041863694028008692298895946066995164432699043_<85> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 5.30 hours on Core 2 Duo E6300@2.33GHz / Mar 29, 2007)

6·10¹³⁷+1 =

6(0)₁₃₆1_<138>

= 23 · 48323971 · 4272684397523_<13> · 14655169765563672253443781435081771_<35> · 8621228002824546712512779722593849212894060284244445369802723033429410273152233309_<82> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 6.19 hours on Core 2 Duo E6300@2.33GHz / Mar 29, 2007)

6·10¹³⁸+1 =

6(0)₁₃₇1_<139>

= 7 · 149 · 313 · 1667 · 63551171 · 231479951514173_<15> · 749462771129028187179501577300325243967405287612534956934150011882051100389202685246684753100633759671351799_<108>

6·10¹³⁹+1 =

6(0)₁₃₈1_<140>

= 2277647 · 1508867401072225998121996787_<28> · 323196751600306705639682362661998583_<36> · 54019028760861303562927364638531753025925788771571944925497170577303123_<71> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 7.00 hours on Athlon XP 3000+ / Mar 29, 2007)

6·10¹⁴⁰+1 =

6(0)₁₃₉1_<141>

= 6553 · 36947 · 37307 · 73951 · 1557224920267273_<16> · 2362708497035574005050811627_<28> · 244138366996402871314657154147600629479440536453368969093870526132980050402458013_<81>

6·10¹⁴¹+1 =

6(0)₁₄₀1_<142>

= 53 · 1787 · 63350613973033755318811964819292373641921212953088870352968504186419740051313997318157341808237691503626822649956182492001984985904488391_<137>

6·10¹⁴²+1 =

6(0)₁₄₁1_<143>

= 179 · 193 · 1949 · 20250697 · 168722167314338241440719151552099503_<36> · 260805622756239731875686742670995926907630708041156681530524921153215720747176911819093845937_<93> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 9.01 hours on Core 2 Duo E6300@2.33GHz / Mar 29, 2007)

6·10¹⁴³+1 =

6(0)₁₄₂1_<144>

= 34979851 · 17152731725472472710075294488818720239831782016452843095300777581928522222693287058312512537574845587535521520660565420933325302043167651_<137>

6·10¹⁴⁴+1 =

6(0)₁₄₃1_<145>

= 7 · 29 · 9419 · 8690737773132673400046895125462569162199460287601619_<52> · 361071965016480062594290480035242393015221651315524279120702561149015142886111978824947_<87> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 8.84 hours on Cygwin on AMD 64 3200+ / Mar 29, 2007)

6·10¹⁴⁵+1 =

6(0)₁₄₄1_<146>

= 31 · 647 · 736071551375499639200941_<24> · 2620389743008896032383787_<25> · 1550955553437612011205718195563558193552672293790742620592000665671583464243332425988643526279_<94>

6·10¹⁴⁶+1 =

6(0)₁₄₅1_<147>

= 59 · 7901 · 5214659 · 346417145671_<12> · 286908163723179938475463307_<27> · 2483413159054730378337215283022999229010263978375223753982805831421347502775406769232845620736793_<97>

6·10¹⁴⁷+1 =

6(0)₁₄₆1_<148>

= 17 · 2543 · 115760644183242053581470522727778242831221097437922034717_<57> · 1198933330911430747361811027483210008562962708283177147904000051570352016647574586611563_<88> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 13.08 hours on Athlon XP 3000+ / Mar 30, 2007)

6·10¹⁴⁸+1 =

6(0)₁₄₇1_<149>

= 45413 · 1021518389977_<13> · 61418399131257487532861_<23> · 4713973367965261212205092299_<28> · 43077009313549326145069669110361_<32> · 103703570011344634621906538130450202423763726827619_<51> (Makoto Kamada / Msieve 1.17 for P32 x P51 / Mar 28, 2007)

6·10¹⁴⁹+1 =

6(0)₁₄₈1_<150>

= 19 · 109 · 113 · 10579907627_<11> · 5679856078924981_<16> · 22501049938160881627846852996382188283_<38> · 1896141385290142214720833871694818954129695297495385547007001852440390777837062947_<82> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 16.31 hours on Core 2 Duo E6300@2.33GHz / Mar 30, 2007)

6·10¹⁵⁰+1 =

6(0)₁₄₉1_<151>

= 7 · 2287 · 274691407 · 106052555431_<12> · 12865327147663768523973250151725082408362339117847704977202467479029658749866722758755177966327179672272580078220625196472106417_<128>

6·10¹⁵¹+1 =

6(0)₁₅₀1_<152>

= 139 · 498255827 · 85355460087173921743066987368891301_<35> · 4059984657865523211612358150944087268984576395068423_<52> · 2499932966831125928910143611140847400709468157774550779_<55> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 17.90 hours on Cygwin on AMD 64 3200+ / Mar 30, 2007)

6·10¹⁵²+1 =

6(0)₁₅₁1_<153>

= 97 · 107 · 4413797 · 146950709 · 312531144238105714806234223_<27> · 298164910200576610275597713265821141_<36> · 956449101954012566944100844383139842704712531307907202661451759300471921_<72> (Jo Yeong Uk / GMP-ECM 6.1.1 B1=1000000, sigma=23251224 for P36 / Mar 29, 2007)

6·10¹⁵³+1 =

6(0)₁₅₂1_<154>

= 21617 · 1541654209_<10> · 984429390961917259297755699215421271_<36> · 182887609531191459362098716133019089012168238316933698590744176357181073877813369466618012759402594754327_<105> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 27.14 hours on Athlon XP 3000+ / Mar 31, 2007)

6·10¹⁵⁴+1 =

6(0)₁₅₃1_<155>

= 53 · 110164333547_<12> · 238374791151267475667638647382887847013_<39> · 43109605018575408648854020726186133527988347085935528901089943775031879035223884740987728777643420089547_<104> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 21.24 hours on Core 2 Duo E6300@2.33GHz / Mar 31, 2007)

6·10¹⁵⁵+1 =

6(0)₁₅₄1_<156>

= 15679 · 5838172087029064235976796069_<28> · 6554747975404540742365128375128746950110811434716985062195497790142313250580415385937683038666601418715210100773572817781651_<124> (Jo Yeong Uk / GMP-ECM 6.1.1 B1=1000000, sigma=273397416 for P28 / Mar 30, 2007)

6·10¹⁵⁶+1 =

6(0)₁₅₅1_<157>

= 7 · 293 · 34589 · 3080875249_<10> · 27451967147179722860574811764507770588509908035860564022334209651903010584803289607053853581663398484714009288847560755778089982663689650391_<140>

6·10¹⁵⁷+1 =

6(0)₁₅₆1_<158>

= 83 · 151 · 72179234791_<11> · 72357737078330308558694680661590216271249223389638162975859539_<62> · 916640329258611436341178406620060063987449880780814068401233780150914565592579353_<81> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 34.58 hours on Cygwin on AMD XP 2700+ / Apr 19, 2007)

6·10¹⁵⁸+1 =

6(0)₁₅₇1_<159>

= 23571451973426463027469189039_<29> · 25454520182991554071457193472923624023655677192163090199587296650880130688226908716630410700752359541445351753329666094641222465359_<131>

6·10¹⁵⁹+1 =

6(0)₁₅₈1_<160>

= 23 · 47 · 3167 · 36887 · 48599731 · 306920722151401391534780179_<27> · 767698777607940194265527635370316671942213_<42> · 4149093592080265396266679279339449692918936093049417612900424150237843877_<73> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P42 x P73 / 25.89 hours on Core 2 Quad Q6600 / Jun 2, 2007)

6·10¹⁶⁰+1 =

6(0)₁₅₉1_<161>

= 31 · 670853 · 27432596289301964073885280181487235430291_<41> · 105170824355437139403715973975995678497668642440971399521069843399452536718803322806044637013799975195072495150977_<114> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 33.19 hours on Cygwin on AMD 64 3200+ / Jun 10, 2007)

6·10¹⁶¹+1 =

6(0)₁₆₀1_<162>

= 1187 · 505475989890480202190395956192080876158382476832350463352990732940185341196293176074136478517270429654591406908171861836562763268744734625105307497893850042123_<159>

6·10¹⁶²+1 =

6(0)₁₆₁1_<163>

= 7 · 409 · 461 · 1297 · 71355177903228522649_<20> · 105440523536650831469_<21> · 2635929378062082616090181215642985097332592374330359_<52> · 176734845085883901472849673672121748213269636335439399849960889_<63> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 25.27 hours on Core 2 Quad Q6600 / May 9, 2007)

6·10¹⁶³+1 =

6(0)₁₆₂1_<164>

= 17 · 353 · 383 · 5215147241069255739103596758994562191897609456843465301_<55> · 5005670690155230684429614037038784632521687552228111599112073609027731095334283017297356948767263632947_<103> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 63.28 hours on Cygwin on AMD XP 2700+ / Jul 26, 2007)

6·10¹⁶⁴+1 =

6(0)₁₆₃1_<165>

= 127301 · 9028519 · 731813929840206967957739_<24> · 369270152835869755547632504844697137215152321611_<48> · 1931781669601575696400721360944887567321529473091599594216511185010148045718575651_<82> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 109.83 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 25, 2008)

6·10¹⁶⁵+1 =

6(0)₁₆₄1_<166>

= 108649 · 1383530154323_<13> · 10418259026881_<14> · 12198214958645406697515956553865609339286480946779228031841_<59> · 314083740589948806536874133179020940182628645393194584520163117078481245780803_<78> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 73.33 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Aug 13, 2008)

6·10¹⁶⁶+1 =

6(0)₁₆₅1_<167>

= 511873 · 1672952309429_<13> · 10374402770189235705553_<23> · 6753709287929355035146226664320891176106045884127335781481288525048429003589981557630847342869747421590160530223111979292489101_<127>

6·10¹⁶⁷+1 =

6(0)₁₆₆1_<168>

= 19 · 53 · 151888273037_<12> · 285222132532084029211_<21> · 11344553699289079283476154821341898793_<38> · 1212346876153485600056159157453359594304541020922218903516315067388636750613885280058055706162793_<97> (Robert Backstrom / GMP-ECM 6.2.1 B1=5466000, sigma=2706353897 for P38 / Oct 3, 2008)

6·10¹⁶⁸+1 =

6(0)₁₆₇1_<169>

= 7 · 192463 · 782311 · 76228657 · 7328634264783832045460771_<25> · 10190258598918290646665763144046669701615740101386780018710605032958701422540550897580384388016235363077372155509748597910533_<125>

6·10¹⁶⁹+1 =

6(0)₁₆₈1_<170>

= 1163 · 50207 · 409692145250436913282056636020822590790365187_<45> · 2508127593417771961783639597835041387496768657625863183136324428934170806705227815812321776714203987196208985026667903_<118> (matsui / GGNFS-0.77.1-20060513-prescott snfs / 153.02 hours / May 30, 2008)

6·10¹⁷⁰+1 =

6(0)₁₆₉1_<171>

= 2036522480469412757_<19> · 15289860020412201132871070965187_<32> · 19268971414983811114353408295498404565964742578518175921195273229007773017207159266351520463816824536907817669941020019839_<122> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2501685443 for P32 / Mar 27, 2007)

6·10¹⁷¹+1 =

6(0)₁₇₀1_<172>

= 154699561095803788960811837883435548718183965521_<48> · 38784854704818871237674570715604655076738950339421849949486353744053423298050903282396196418361477719330298221232535393256881_<125> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 / 121.74 hours on Core 2 Duo E6300@2.33GHz / Apr 22, 2007)

6·10¹⁷²+1 =

6(0)₁₇₁1_<173>

= 29 · 199 · 16071179 · 19040639559853345070153144890519_<32> · 33975895006073920745483829891601971700743187759442035498563591928892715199253724062640060946711525430463604441778590052394140275231_<131> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1259013039 for P32 / Mar 27, 2007)

6·10¹⁷³+1 =

6(0)₁₇₂1_<174>

= 21541129 · 27853693276708012843709352467087495738965213940272118513379684045344141432884042428788203255270417813291030381926592612671322844777541604249248031521467607384923974969_<167>

6·10¹⁷⁴+1 =

6(0)₁₇₃1_<175>

= 7² · 26739999478904985595633_<23> · 2530871633323057178390377682713_<31> · 1809354470273988391909928868065730996169303489059876315412862866428943687873409338301708886637922973447152338599360182281_<121> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1641265231 for P31 / Mar 27, 2007)

6·10¹⁷⁵+1 =

6(0)₁₇₄1_<176>

= 31 · 227 · 18229 · 142965322616087752221825023_<27> · 78834246190375597401811445588639063_<35> · 41500681309919383885445995508284685803042892144778268185725040022437427106594917277468373401274522948400313_<107> (Nechaev Sergey / Msieve v. 1.39 for P35 x P107 / 6.91 hours on Intel Celeron 1200 MHz, Windows XP / Dec 11, 2008)

6·10¹⁷⁶+1 =

6(0)₁₇₅1_<177>

= 1030061 · 759763843008042511_<18> · 766672144559061628890362809860246401749327549579192810118560668328581190184331587072870045980078093533295409943121533471797139072738514272272184421422731_<153>

6·10¹⁷⁷+1 =

6(0)₁₇₆1_<178>

= 1711983023_<10> · 130909460131276140628552263669024355006100394847355624263188932213877563_<72> · 26771996829082488321535109586807695003489696065663320871538381541557110996579284791617298469559549_<98> (Tyler Cadigan / GGNFS and Msieve snfs / 97.06 hours on C2Q Q6600 2.4 GHz, 3 Gb RAM, Windows Vista / Jul 7, 2009)

6·10¹⁷⁸+1 =

6(0)₁₇₇1_<179>

= 223 · 23027 · 104789 · 1426643 · 40644591731_<11> · 1922982159835701962150458941690226028839255940333920593187848701699883509225282546417481896412237304915230566990618028032839551868545552478944916472713_<151>

6·10¹⁷⁹+1 =

6(0)₁₇₈1_<180>

= 17 · 751 · 112771 · 518476220445751_<15> · 7132513818777656481169_<22> · 112692106264930656963353447779273751723066822219291723251430616150893819819926889355130216345663562021311482951308997824134576583591747_<135>

6·10¹⁸⁰+1 =

6(0)₁₇₉1_<181>

= 7 · 53 · 5189 · 1530654942827_<13> · 77961257465282390200811842235367085099161175733216672157092688181205275825630537_<80> · 26117856802019915612096483598867398142659189050194588384216401897862531400938257621_<83> (Tyler Cadigan / GGNFS, Msieve snfs / 143.05 hours on C2Q Q6600 2.40 GHz, 3 Gb RAM, Windows Vista / Jul 5, 2009)

6·10¹⁸¹+1 =

6(0)₁₈₀1_<182>

= 23 · 61 · 22921 · 1872699346433998020537767237_<28> · 3221817407318169274057683443449767963151785037276817_<52> · 309236703947623304730799733324982576204663378968922310111028745418217199315661984343512735564463_<96> (Tyler Cadigan / GGNFS, Msieve snfs / 223.86 hours on C2Q Q6600 2.4GHz, 4 Gb RAM, Windows Vista / Jul 2, 2009)

6·10¹⁸²+1 =

6(0)₁₈₁1_<183>

= 197 · 145547 · 1137803 · 3697766213694124457129202150295765873_<37> · 4973650241959479991177377391777452977902057601073658068611396750923243720787211361706581622604893959178219884712767066984209658142981_<133> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=1250300280 for P37 / Feb 13, 2009)

6·10¹⁸³+1 =

6(0)₁₈₂1_<184>

= 20333 · 10194940864693489_<17> · 28944435148578785733104660113465072797152479367601174647170452255255351712646305441136563428992615113626275537468635220759236152222648647988056301400691764608750773_<164>

6·10¹⁸⁴+1 =

6(0)₁₈₃1_<185>

= 587 · 6203 · 325333469 · 713020687 · 71036326324885719916006924101251043260542849380055405036227243025556824832034153023040670401241782980289641135898120243779064840152646514058646245571449472789347_<161>

6·10¹⁸⁵+1 =

6(0)₁₈₄1_<186>

= 19 · 167 · 3149035144740077_<16> · 30217523095511560432976100709_<29> · 123251687544331276107061304469530687861827519667502885428574726923_<66> · 16123225707827282939353513239821935387962162632669892472730626095154698983_<74> (Tyler Cadigan / GGNFS, Msieve snfs / 216.99 hours on C2Q Q6600 2.40 GHz, 4Gb RAM, Windows Vista / Jun 24, 2009)

6·10¹⁸⁶+1 =

6(0)₁₈₅1_<187>

= 7 · 10163 · 62671630591_<11> · 1345737301505097687201439347428036846138371098114174304318480099980843850210046146833023361562269414714787790594720740673267590241197928585436790524132914144562207600247571_<172>

6·10¹⁸⁷+1 =

6(0)₁₈₆1_<188>

= 4547 · 6536834037833420095985946925674276836560136508795702561667702266167_<67> · 2018639826103785865286631933082975605890545795355024440916114945745465813061205948102752034943266139296166842862791149_<118> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 777.86 hours / Aug 27, 2008)

6·10¹⁸⁸+1 =

6(0)₁₈₇1_<189>

= 1637 · 57366058831_<11> · 91095427949217511_<17> · 22030613152866699260353_<23> · 3183643221139836301633704566827700114389439812117447115877607563174062544857782710167851006811747130033335416499676921705100923728652101_<136>

6·10¹⁸⁹+1 =

6(0)₁₈₈1_<190>

= 42589 · 5780291335866737_<16> · 107788304148617970061487122159_<30> · 174013302696433020274845304681_<30> · 18309085696764041534162136664724986762411_<41> · 70971393580825121102733841341176453634821357709829428898091709401554553_<71> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=4096400016 for P30 / Mar 27, 2007) (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2803236752 for P30, Msieve+pol51select gnfs for P41 x P71 / 16.0 hours on Opteron-2.2GHz; Linux x86_64 / Aug 3, 2008)

6·10¹⁹⁰+1 =

6(0)₁₈₉1_<191>

= 31 · 317 · 607 · 4014704477167_<13> · 2505463157764540601632715230028063963509462985755629687871628272822482673435884812516654525020188175592347477023966102366980522080623114977847924939420382160579296254327227_<172>

6·10¹⁹¹+1 =

6(0)₁₉₀1_<192>

= 131635826256638403650836189_<27> · 4558029656988930544160466050975243216804086899733582752815935681533569740973520942156018486465079186654037838635878625973621820618371568810759829632545572174289678709_<166>

6·10¹⁹²+1 =

6(0)₁₉₁1_<193>

= 7 · 99079 · 687912079 · 2915419952598811618594940160413805922953111384734672751972710929408139_<70> · 4313576840393877505883357285400035595676725490320331778252232358628296531245916896568438767438261380374823357_<109> (Tyler Cadigan / GGNFS, Msieve snfs / 386.28 hours on C2Q Q6600 2.4 GHz, 4 GB RAM, Windows Vista / May 13, 2009)

6·10¹⁹³+1 =

6(0)₁₉₂1_<194>

= 53 · 1009 · 500066384184503_<15> · 419477943340664305459_<21> · 5348689947030520136369877611008157028910945064205692570927331747738290069137351398562510725948141270187377372256033232564725133808464233517898734873007769_<154>

6·10¹⁹⁴+1 =

6(0)₁₉₃1_<195>

= 153817 · 33881245227068299278185531_<26> · 901361069267656452128353133474957_<33> · 266634767326292612283152421868647275640368024889323_<51> · 479040217579134298529209937599938953347103505261874490787658533513714122044192133_<81> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=3175350205 for P33 / Jul 13, 2008) (Tyler Cadigan / ggnfs, msieve gnfs for P51 x P81 / 172.66 hours on C2Q Q6600 2.4 GHz, 3 GB RAM, Windows Vista / Apr 27, 2009)

6·10¹⁹⁵+1 =

6(0)₁₉₄1_<196>

= 17 · 353 · 421 · 53984968629707_<14> · 5444649381690383_<16> · 450367983155898302933_<21> · 154154162540960500400074342123380051113966965013_<48> · 116380439153233275654538630432091976492720690680968724771611953842197614880172185920433608769_<93> (Tyler Cadigan / GGNFS, Msieve snfs / 357.78 hours on C2Q Q6600 2.4 GHz, 3 Gb RAM, Windows vista / Apr 5, 2009)

6·10¹⁹⁶+1 =

6(0)₁₉₅1_<197>

= 4526985911422555852980453461875447673693370404671619628486604463189_<67> · 13253851718117155717822280766012995701858464863771693748201984239161431357726436028994453405662098135543550990120795749232748691709_<131> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 2601.57 hours / Jul 21, 2008)

6·10¹⁹⁷+1 =

6(0)₁₉₆1_<198>

= 139 · 407899 · 1342591 · 861735247427_<12> · 14372479836996783727118873851_<29> · 636406362238420386067405897142966505290908179596403443220782248012253741879671512661660594487605220807515330784453069807282234525943730437109463_<144>

6·10¹⁹⁸+1 =

6(0)₁₉₇1_<199>

= 7 · 83 · 827 · 1671913865053753682774008058984727775285847092318926307764219314568321887709471774615950144902657_<97> · 7468883908162308115227893005644186201669945225303700140432172123968956930897287431172882486068439_<97> (matsui / GGNFS-0.77.1-20060722-nocona / Mar 14, 2009)

6·10¹⁹⁹+1 =

6(0)₁₉₈1_<200>

= 100827365033_<12> · 21583541164043_<14> · 10056670285225909_<17> · 2683916005958404450397_<22> · 479403087032713635428088886452712241517044136079900092034489_<60> · 2130718979593492245520692728000484684740606068588764504461505725233767054216707_<79> (Tyler Cadigan / GGNFS, Msieve gnfs for P60 x P79 / 729.05 hours on C2Q Q6600 2.40 Ghz, 4 GB RAM, Windows Vista / Jul 10, 2008)

6·10²⁰⁰+1 =

6(0)₁₉₉1_<201>

= 29 · 367530286683762818311653969900003494345257271270268514080948164981978980653079960969_<84> · 56293742099725151227484967667076511849333661046901547637197489587498221199711228253147257513850471263698402737741901_<116> (Serge Batalov / Msieve 1.36 / 13 CPU-days on Opteron-2.8GHz; Linux x86_64 / Jul 4, 2008)

6·10²⁰¹+1 =

6(0)₂₀₀1_<202>

= 2225563489_<10> · 61606411986233_<14> · 118262220048541_<15> · [370032030763500866243204824410096163913517901690874320541105290501403429925490770911824517315068142577691855327267645234200652535869076671404588204620450126849392253_<165>] SUBMIT/RESERVE

6·10²⁰²+1 =

6(0)₂₀₁1_<203>

= 113761 · 244393 · 660429923798209_<15> · 135180804513951511904761_<24> · 5164634473621039289825138497_<28> · 1664792180982452240067957261454638056603_<40> · 2811432753405739343413857814027793980466733704390188713337746638191403396481943299125843_<88> (Wataru Sakai / GMP-ECM 6.2.1 [powered by GMP 4.2.4] B1=3000000, sigma=2090088941 for P40 / Apr 29, 2009)

6·10²⁰³+1 =

6(0)₂₀₂1_<204>

= 19 · 23 · 8747 · 40099 · 294001 · 110099638731542339689_<21> · [120932336311005545217438828723296762314979253137175536923058070093950074987740428648151640404375291883342041532643463387992645778112870514906506745223897415122959454469_<168>] SUBMIT/RESERVE

6·10²⁰⁴+1 =

6(0)₂₀₃1_<205>

= 7 · 59 · 269 · 173189 · 2924524113403271554277_<22> · 1734660937911648308100611_<25> · [61469376594875039285339745941562553088275938523221973444637371499240824867009628082697711902012802021710169239870884627641364181080164857616797060251_<149>] SUBMIT/RESERVE

6·10²⁰⁵+1 =

6(0)₂₀₄1_<206>

= 31 · 47 · 107 · 321588220688443027059385703_<27> · 52608200965763511019049070037321_<32> · 22748582359849985239621437062492301500654660877058842699222608390850103339364205134046046593760422318845790606886535630528076929599435895212973_<143> (Andreas Tete / Syd`s Database workers / Jun 24, 2009)

6·10²⁰⁶+1 =

6(0)₂₀₅1_<207>

= 53 · 4574867761_<10> · [2474553431574288530669443783559353284181479263246617180652420545039052014506919716133564757945814528582635726057474956448419781325594489783919704691885447005671549227755073481668599013567760077997_<196>] SUBMIT/RESERVE

6·10²⁰⁷+1 =

6(0)₂₀₆1_<208>

= 513423499698584619487313_<24> · [11686259011366675282064229282922467522532308274193536851094098021785120467938242399664859919292648868579917217213423380270982079329755959700632182215588747211179339800272307355440691377_<185>] SUBMIT/RESERVE

6·10²⁰⁸+1 =

6(0)₂₀₇1_<209>

= 2647 · 3821 · 850753 · 6755761 · 971934673 · 21283182711527263_<17> · [49896359055227933118610317314146247306293714743503905351208213773843602035116122826852286798123479165041143667670534060051856340657949231563840707868910418698998269_<164>] SUBMIT/RESERVE

6·10²⁰⁹+1 =

6(0)₂₀₈1_<210>

= 14606547715813294792570148783_<29> · [41077468247368944358557432153685941196987877353662716934715409489454551431441906136158676071970220181923425927727737799760823398756710789431238077328685401820788646122634831233818447_<182>] SUBMIT/RESERVE

6·10²¹⁰+1 =

6(0)₂₀₉1_<211>

= 7 · 4421 · 19622139371_<11> · 252809993911_<12> · 9268407889573397_<16> · [4216838447812894043128253803441876396871526134347856057609609801521074958959991772867555019628134559068888208195363318390278172857214030743818698418630284431739375751819_<169>] SUBMIT/RESERVE

6·10²¹¹+1 =

6(0)₂₁₀1_<212>

= 17 · 3137 · 1934993 · 197187806811077_<15> · 2735647194507440043171527_<25> · 1077874674487459041321780056497445099308196526362518107059676445510932744355786130014254635238238193900381920634361431912800286992413856080171934813272242432699627_<163>

6·10²¹²+1 =

6(0)₂₁₁1_<213>

= 30310182479923312155099860956849_<32> · [19795327870342734440491175932154151984932233659234664309001536082851115969954311893094764672191185223211980135421688070183962793578055241434636922177159302445115351894994716339245649_<182>] SUBMIT/RESERVE

6·10²¹³+1 =

6(0)₂₁₂1_<214>

= 887 · 710379914267074902446340727571899_<33> · [9522192505057989196554921686963471449090843139265281936834912784663455668678513277670521436604345942154664018593294330166634222414359055518446450597428054285995444333986164085477_<178>] (Dmitry Domanov / ECMNET / Jun 29, 2009) SUBMIT/RESERVE

6·10²¹⁴+1 =

6(0)₂₁₃1_<215>

= 14966220127_<11> · 4009028297783502192370232534934035986600319232361909519573913186770809548443574085351283835222718423671091310549450934185100269706864241420227775592706274511954463918195982845976484279997654480576784316063_<205>

6·10²¹⁵+1 =

6(0)₂₁₄1_<216>

= 27743 · 2608618741_<10> · 2762769781_<10> · [3000837797455254759302895888907178970204791149105462707817256672494832834313048569516896392998970467205350434794470351886251697694259408865244248156875652321067759334291940435673009544143681367_<193>] SUBMIT/RESERVE

6·10²¹⁶+1 =

6(0)₂₁₅1_<217>

= 7³ · 3559 · 4057 · 18461 · 8865690481_<10> · 75489457323208605217787830670233307_<35> · [98055067697465091816689131698585149675657995487502821941906044701157348721437441754279639798790119281752053294533196233210198961184141683435508604336743525047_<158>] (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=1144671962 for P35 / Apr 27, 2009) SUBMIT/RESERVE

6·10²¹⁷+1 =

6(0)₂₁₆1_<218>

= 257 · 349 · 6461393 · 809911656979_<12> · [127828853422059537003472317965694266321463860425142827561508522098008664069098486916507550465809801978757093612412749321256468501907725458430073251293462025007845075292622242824462589338838792231_<195>] SUBMIT/RESERVE

6·10²¹⁸+1 =

6(0)₂₁₇1_<219>

= 773 · 3360557628479311451_<19> · [230972571308791767079660398588940172682674244652603150512637261643251127081200372333147802374543750072565549539549438844421098731540456164788424191023126992805869669114418432392670388290991549245687_<198>] SUBMIT/RESERVE

6·10²¹⁹+1 =

6(0)₂₁₈1_<220>

= 53 · 34003565881_<11> · [3329284568741883849329248561820135292713396806089809264282517293355397883298194704638694061185387085520447921621073530526630568760945791311109261249172330536294778053245648091466321620990214514440889369239557_<208>] SUBMIT/RESERVE

6·10²²⁰+1 =

6(0)₂₁₉1_<221>

= 31 · 11562157632455563451_<20> · 4724959633308048901807_<22> · [35428483908816629828958397188302072431300847301169515002641905635177535469410434721155948982092506152180509155902227143559666476099323541780149872568629762727659609509056829388003_<179>] SUBMIT/RESERVE

6·10²²¹+1 =

6(0)₂₂₀1_<222>

= 19 · 13547461 · 16726782991_<11> · 3349384721392093940733381409_<28> · 3849322964951777452392095093_<28> · 694683008640191018051495572579_<30> · 2106663983424484976725368044339228518607232620507_<49> · 7385773499148755352472981597178105724655405297506528416547206510108989_<70> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2976623049 for P30 / Apr 25, 2009) (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 gnfs for P49 x P70 / 88.83 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 1, 2009)

6·10²²²+1 =

6(0)₂₂₁1_<223>

= 7 · 337 · 6053 · 13757 · 246247 · 328787 · 2619177251_<10> · [144038444453453329574500213335144414500762145327079867935224833493301308448860309970418483001096065719783607979333452602014533516564320416462824684134685434787889528135769064809669572762597881_<192>] SUBMIT/RESERVE

6·10²²³+1 =

6(0)₂₂₂1_<224>

= 42023 · [1427789543821240749113580658210979701591985341360683435261642433905242367275063655617162030316731313804345239511695976013135663803155414891844942055541013254646265140518287604407110391928229778930585631677890678913928087_<220>] SUBMIT/RESERVE

6·10²²⁴+1 =

6(0)₂₂₃1_<225>

= 12893 · 456587 · 5234914814974827841_<19> · 19469917292117625378372454307740577683777572293324023736069492063795887600699869853539709332305042399546624874863957940518852410480205669600935052587176978380108070012514004659219771434223235406271_<197>

6·10²²⁵+1 =

6(0)₂₂₄1_<226>

= 23 · 36379877 · 167906990293368652928728873261_<30> · 42706444003089520713978269973163684708080590638366819749334561938215780974654681734405888760198272741801801164400514926098114885040973707174419364829994643860289586117344843093917829015271_<188> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=784847885 for P30 / Apr 25, 2009)

6·10²²⁶+1 =

6(0)₂₂₅1_<227>

= 16993 · 853230859912925311_<18> · 1182152605259529083_<19> · [3500588764519623263474306806236493805465538956213007029010823075968697170982362618525603833399460357075159459923363300270660323926331048901023445636943008986821408739741336301188387780589_<187>] SUBMIT/RESERVE

6·10²²⁷+1 =

6(0)₂₂₆1_<228>

= 17 · 353 · 17997054941964696824701_<23> · [5555538749704637838636056885361687030218278147127919593369097015272101270279286520883876392076389277937907573983740176346326219501356061869390862382923304585478834763645330358076583391112333703954459301_<202>] SUBMIT/RESERVE

6·10²²⁸+1 =

6(0)₂₂₇1_<229>

= 7 · 29 · 554503 · 4625381172371_<13> · 1024270246223771_<16> · [11250950835078257092587523087761353502758727110999868384122564107470762528276862320886261278553329280222844251141286045581714145858865460016993980893336885027290226763646180334123589384265058629_<194>] SUBMIT/RESERVE

6·10²²⁹+1 =

6(0)₂₂₈1_<230>

= 3331 · 51178651 · 15247364120761080019_<20> · 23083040398172312983687660449500916932696614323065102361931902852451991975232985632567773880128053178275361089585717569770869770720152189812790448348845860485937295473801513483593237358685958625713259_<200>

6·10²³⁰+1 =

6(0)₂₂₉1_<231>

= 28580683787911_<14> · 966104844865412266835017_<24> · 4291261667578816733310217_<25> · 7829789442671845101708781187_<28> · 646724471904227486287969678475507650807150787626440294302298069606340259318073423579855720775004434559244811093120430417194411350111118189037_<141>

6·10²³¹+1 =

6(0)₂₃₀1_<232>

= 517189 · 233707958941_<12> · 666326798213_<12> · 2633861861153993_<16> · [28284479737499129152822600564231655496835764653077090817754128651163796472081365298861046682262445285592081935768488045664721912918535404037065424197190461427203294489468499248120754453461_<188>] SUBMIT/RESERVE

6·10²³²+1 =

6(0)₂₃₁1_<233>

= 53 · 151 · 24433776845411_<14> · 3648794765150784943_<19> · [84092718862906558492075323558344203865603459761766786449184700084846843270808907381867662630481557455377915169367046602053371152975153644627500052389133705254949340895772699960097980325935591829879_<197>] SUBMIT/RESERVE

6·10²³³+1 =

6(0)₂₃₂1_<234>

= 294510113 · 1778348809_<10> · 778008505367081881201_<21> · 2561616974580876396755878639763_<31> · [574824873435899378320065034350864626543502944955975704501487535802286423132854167632694971627309959241359282121449541103533943009375174285144531117192634556032152531_<165>] (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=2878558676 for P31 / Apr 27, 2009) SUBMIT/RESERVE

6·10²³⁴+1 =

6(0)₂₃₃1_<235>

= 7 · 631 · 6947 · 29599 · 89983 · 400417 · 33815673323_<11> · 34065915203_<11> · 42381982012937719996781541707_<29> · [3755408410505230729190899118324431834292106033940351955507436810965034213889456599052388984293780723793596126474476083532251333177802330432545087076489600037733377_<163>] SUBMIT/RESERVE

6·10²³⁵+1 =

6(0)₂₃₄1_<236>

= 31 · 146807 · [13183866375361814732838835803074345800070621577550688120918906697118468245669044962917079852701055610207564594902633850851359157744301987885345187680028441994393780554983644315105832388672685687616636017839529054714583575495323353_<230>] SUBMIT/RESERVE

6·10²³⁶+1 =

6(0)₂₃₅1_<237>

= 1931 · 4297 · 124447 · 2020530728631977367651683_<25> · 287576723692415176064312067280682520949945746249466352463721951457763944003335261921765989752422514216338104289278901900719806333306707513644986758860538144862049585237138318928951944714842328553064743_<201>

6·10²³⁷+1 =

6(0)₂₃₆1_<238>

= 14207 · 30319 · 127247 · 168769 · 294478757 · [2202621105970231633096320716945299937737615144016321880109664447051016331230243862979945994446896802085657981349347119419652804647506547756650174746519529727219895372440161403050334403001641372784744844096265747_<211>] SUBMIT/RESERVE

6·10²³⁸+1 =

6(0)₂₃₇1_<239>

= 22851109319452294619_<20> · [2625693097049089179102852472133002996435553277937619019278256313518290223610517942128123079019982545066636294331949382226994154385558313972151398260950370569326765626569778411133963460805661320049237911582251832189072979_<220>] SUBMIT/RESERVE

6·10²³⁹+1 =

6(0)₂₃₈1_<240>

= 19 · 83 · 3209206549_<10> · 21059094549481_<14> · 19799792940089117_<17> · [284329253122044126126507729304987239671901220746257910658557985655216463118884855064541107365005713589154594373478262599109523624517863380475553575947251619381911189078192142750450431861737084979281_<198>] SUBMIT/RESERVE

6·10²⁴⁰+1 =

6(0)₂₃₉1_<241>

= 7 · 29361243894553_<14> · [29193002184143548010722146658005203781686415613396510380928161193735148151520181647487611118921561593227420751593314409161865463194750353232784801436898113035460560948748183599434430406028420522019493313302619407575651965342031_<227>] SUBMIT/RESERVE

6·10²⁴¹+1 =

6(0)₂₄₀1_<242>

= 61 · 1993457 · 66806086732346187153080093460977_<32> · 7385816445095095081672536827873340851880321452808389514070616294708745431771144121371438927806790015808582624263908381754884501004064893018058904330640238898561924274951347352236524448164445185989177269_<202> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2896162561 for P32 / Apr 26, 2009)

6·10²⁴²+1 =

6(0)₂₄₁1_<243>

= [600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<243>] RESERVED

6·10²⁴³+1 =

6(0)₂₄₂1_<244>

= 17 · 139 · 777082049701_<12> · 13604467049460231226367027_<26> · [240181259882277501623303041062220031186078813348035221086432884845603201348042073352240964449236079804640474790247421661875796515533401188271075228034939092705264798643147524732745722613837709491763355501_<204>] SUBMIT/RESERVE

6·10²⁴⁴+1 =

6(0)₂₄₃1_<245>

= definitely prime number

6·10²⁴⁵+1 =

6(0)₂₄₄1_<246>

= 53 · 904553907099202855771697_<24> · [12515290275275522677447921732793061935758321841029560108679729030434755172127603073693023217299084935355957348545636709883130535820345086270196087344266563979905106610551523765653010191477331581620753298350470259022879661_<221>] SUBMIT/RESERVE

6·10²⁴⁶+1 =

6(0)₂₄₅1_<247>

= 7 · 131 · 16979 · [385362815558355715954977548441229890564025366378879856912217497745466961143803080115066767640287961079383262780894970456480880898290999408275396710144798151131974368491503038939049925229979711290032211835481163690370483314978288337835762607_<240>] SUBMIT/RESERVE

6·10²⁴⁷+1 =

6(0)₂₄₆1_<248>

= 23 · [2608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087_<247>] SUBMIT/RESERVE

6·10²⁴⁸+1 =

6(0)₂₄₇1_<249>

= 97 · 1129 · 907355487952378274363_<21> · 88681323985290974670149_<23> · 68088840023549764912462202076155166068454341739405596698914195931122921597936876142048454503999951364220813879016235098496103008145032699014206084246146683593865766583245479481473238938126263660282271_<200>

6·10²⁴⁹+1 =

6(0)₂₄₈1_<250>

= 181 · 2431787 · [13631609705421664004371639057049120417316645483410243519006225117669020549553937720269631331547881754973510408518963614977664823331486939371850471955976752807299950555652469989630684409930339589047907649352113332421545252603690276223146333783_<242>] SUBMIT/RESERVE

6·10²⁵⁰+1 =

6(0)₂₄₉1_<251>

= 31 · 467 · 10819258797103_<14> · 150634428107377_<15> · 2543026722062724874222761013772549130160652191728112226848569205345587500212581524689828614601617923924327123659806074932013190941461852182458839185936866804855754517808574882484256833179523889435807795775883254316131323_<220>

4. References

• The Prime Database: The List of Largest Known Primes Home Page (Chris K. Caldwell)
• A056805 (On-Line Encyclopedia of Integer Sequences)