Factorizations of 900...007

Table of contents

1. About 900...007
   • First ten terms
   • General term
2. Prime numbers of the form 900...007
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 900...007
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 900...007

First ten terms

97, 907, 9007, 90007, 900007, 9000007, 90000007, 900000007, 9000000007, 90000000007

General term

9·10ⁿ+7

2. Prime numbers of the form 900...007

Last update

Jan 18, 2009

Searched up to

n≤20000

Difficulty of search

30.71%

Results

1. 9·10¹+7 = 97 is prime. (Julien Peter Benney / Aug 16, 2004)
2. 9·10²+7 = 907 is prime. (Julien Peter Benney / Aug 16, 2004)
3. 9·10³+7 = 9007 is prime. (Julien Peter Benney / Aug 16, 2004)
4. 9·10⁴+7 = 90007 is prime. (Julien Peter Benney / Aug 16, 2004)
5. 9·10⁵+7 = 900007 is prime. (Julien Peter Benney / Aug 16, 2004)
6. 9·10¹⁵+7 = 9(0)₁₄7_<16> is prime. (Julien Peter Benney / Aug 16, 2004)
7. 9·10¹⁹+7 = 9(0)₁₈7_<20> is prime. (Julien Peter Benney / Aug 16, 2004)
8. 9·10²⁰+7 = 9(0)₁₉7_<21> is prime. (Julien Peter Benney / Aug 16, 2004)
9. 9·10⁴⁶+7 = 9(0)₄₅7_<47> is prime. (Julien Peter Benney / Aug 16, 2004)
10. 9·10⁵²+7 = 9(0)₅₁7_<53> is prime. (Julien Peter Benney / Aug 16, 2004)
11. 9·10⁵³+7 = 9(0)₅₂7_<54> is prime. (Julien Peter Benney / Aug 16, 2004)
12. 9·10¹⁹²+7 = 9(0)₁₉₁7_<193> is prime. (Julien Peter Benney / Aug 16, 2004)
13. 9·10³⁸⁰+7 = 9(0)₃₇₉7_<381> is prime. (searched by Jason Earls / Aug 18, 2004) (certified by Makoto Kamada / PPSIQS / Jan 8, 2005)
14. 9·10⁵⁸⁸+7 = 9(0)₅₈₇7_<589> is prime. (searched by Jason Earls / Aug 18, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
15. 9·10⁷⁷⁶+7 = 9(0)₇₇₅7_<777> is prime. (searched by Jason Earls / Aug 18, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
16. 9·10⁹⁰⁶+7 = 9(0)₉₀₅7_<907> is prime. (searched by Jason Earls / Aug 18, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
17. 9·10¹³⁵⁰+7 = 9(0)₁₃₄₉7_<1351> is prime. (searched by Jason Earls / Aug 18, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 6, 2006)
18. 9·10¹⁷³⁶+7 = 9(0)₁₇₃₅7_<1737> is prime. (searched by Jason Earls / Aug 18, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 28, 2006)
19. 9·10²⁹¹⁴+7 = 9(0)₂₉₁₃7_<2915> is PRP. (Jason Earls / Aug 18, 2004)
20. 9·10⁷⁵⁰⁸+7 = 9(0)₇₅₀₇7_<7509> is PRP. (Makoto Kamada / PFGW / Dec 29, 2004)
21. 9·10¹⁵⁷¹⁰+7 = 9(0)₁₅₇₀₉7_<15711> is PRP. (Sinkiti Sibata / PFGW / Nov 7, 2007)
22. 9·10¹⁶⁴⁵³+7 = 9(0)₁₆₄₅₂7_<16454> is PRP. (Sinkiti Sibata / PFGW / Nov 7, 2007)
23. 9·10¹⁷⁴⁸⁸+7 = 9(0)₁₇₄₈₇7_<17489> is PRP. (Sinkiti Sibata / PFGW / Nov 7, 2007)
24. 9·10¹⁸¹⁰⁹+7 = 9(0)₁₈₁₀₈7_<18110> is PRP. (Sinkiti Sibata / PFGW / Nov 7, 2007)

3. Factorizations of 900...007

Last update

Oct 23, 2009

Completed up to

• n≤100 / Jan 8, 2005
• n≤150 / Nov 7, 2007

Range

n≤200

Terms which have not been factored yet

n=172, 178, 187, 188, 190, 193, 194, 195, 197, 198 (10/200)

Results

9·10¹+7 =

97

= definitely prime number

9·10²+7 =

907

= definitely prime number

9·10³+7 =

9007

= definitely prime number

9·10⁴+7 =

90007

= definitely prime number

9·10⁵+7 =

900007

= definitely prime number

9·10⁶+7 =

9000007

= 277 · 32491

9·10⁷+7 =

90000007

= 859 · 104773

9·10⁸+7 =

900000007

= 29 · 179 · 281 · 617

9·10⁹+7 =

9000000007_<10>

= 59 · 152542373

9·10¹⁰+7 =

90000000007_<11>

= 1033 · 87124879

9·10¹¹+7 =

900000000007_<12>

= 17 · 19 · 67 · 449 · 92623

9·10¹²+7 =

9000000000007_<13>

= 79 · 104759 · 1087487

9·10¹³+7 =

90000000000007_<14>

= 172171 · 522736117

9·10¹⁴+7 =

900000000000007_<15>

= 23 · 1429 · 2129 · 12861949

9·10¹⁵+7 =

9000000000000007_<16>

= definitely prime number

9·10¹⁶+7 =

90000000000000007_<17>

= 71 · 1009 · 1733 · 724927261

9·10¹⁷+7 =

900000000000000007_<18>

= 339707 · 966893 · 2740057

9·10¹⁸+7 =

9000000000000000007_<19>

= 43 · 209302325581395349_<18>

9·10¹⁹+7 =

90000000000000000007_<20>

= definitely prime number

9·10²⁰+7 =

900000000000000000007_<21>

= definitely prime number

9·10²¹+7 =

9000000000000000000007_<22>

= 3970453 · 2266743870283819_<16>

9·10²²+7 =

90000000000000000000007_<23>

= 1051 · 1747 · 5811073 · 8435106247_<10>

9·10²³+7 =

900000000000000000000007_<24>

= 443 · 2031602708803611738149_<22>

9·10²⁴+7 =

9000000000000000000000007_<25>

= 21385879 · 149269957 · 2819311069_<10>

9·10²⁵+7 =

90000000000000000000000007_<26>

= 47 · 79 · 661 · 36670438289152925099_<20>

9·10²⁶+7 =

900000000000000000000000007_<27>

= 5119 · 175815588982223090447353_<24>

9·10²⁷+7 =

9000000000000000000000000007_<28>

= 17 · 197 · 391987 · 6855761451245195689_<19>

9·10²⁸+7 =

90000000000000000000000000007_<29>

= 666089 · 135117078948909229847663_<24>

9·10²⁹+7 =

900000000000000000000000000007_<30>

= 19 · 61 · 677767 · 1145720421127159419319_<22>

9·10³⁰+7 =

9000000000000000000000000000007_<31>

= 107 · 149 · 252079 · 145483843 · 15392920680517_<14>

9·10³¹+7 =

90000000000000000000000000000007_<32>

= 2210389 · 2508313 · 16232748865096121251_<20>

9·10³²+7 =

900000000000000000000000000000007_<33>

= 4211 · 211008464101_<12> · 1012878591105560537_<19>

9·10³³+7 =

9000000000000000000000000000000007_<34>

= 859 · 2027 · 105971 · 48776267559805457988469_<23>

9·10³⁴+7 =

90000000000000000000000000000000007_<35>

= 2671 · 33695245226506926244852115312617_<32>

9·10³⁵+7 =

900000000000000000000000000000000007_<36>

= 14041409 · 64096131663140073763252676423_<29>

9·10³⁶+7 =

9000000000000000000000000000000000007_<37>

= 23 · 29 · 281 · 48018695278695171986960256526541_<32>

9·10³⁷+7 =

90000000000000000000000000000000000007_<38>

= 28421969 · 3166564568415369111126678098903_<31>

9·10³⁸+7 =

900000000000000000000000000000000000007_<39>

= 79 · 4472687 · 106227954130559_<15> · 23977731549094201_<17>

9·10³⁹+7 =

9000000000000000000000000000000000000007_<40>

= 43 · 1129 · 6985995157_<10> · 321826330171_<12> · 82457518096123_<14>

9·10⁴⁰+7 =

90000000000000000000000000000000000000007_<41>

= 13997 · 28123 · 10331017 · 34265195617_<11> · 645876686057873_<15>

9·10⁴¹+7 =

900000000000000000000000000000000000000007_<42>

= 29022857 · 16955113783_<11> · 1828949182897990966981097_<25>

9·10⁴²+7 =

9000000000000000000000000000000000000000007_<43>

= 15443 · 195241 · 1039496963_<10> · 63893549549_<11> · 44942742880547_<14>

9·10⁴³+7 =

90000000000000000000000000000000000000000007_<44>

= 17 · 431 · 449 · 461 · 3067910548356271_<16> · 19343112551741065939_<20>

9·10⁴⁴+7 =

900000000000000000000000000000000000000000007_<45>

= 67 · 356634327127602502687_<21> · 37665571705017899674483_<23>

9·10⁴⁵+7 =

9000000000000000000000000000000000000000000007_<46>

= 10369 · 3979219 · 10819331 · 20160782567765016528409168127_<29>

9·10⁴⁶+7 =

90000000000000000000000000000000000000000000007_<47>

= definitely prime number

9·10⁴⁷+7 =

900000000000000000000000000000000000000000000007_<48>

= 19 · 349 · 25185075981569463503_<20> · 5389149308924810689918799_<25>

9·10⁴⁸+7 =

9000000000000000000000000000000000000000000000007_<49>

= 153593087 · 3746756951916427_<16> · 15639228263509408498386443_<26>

9·10⁴⁹+7 =

90000000000000000000000000000000000000000000000007_<50>

= 318116349006585356511371_<24> · 282915355595687732229257717_<27>

9·10⁵⁰+7 =

900000000000000000000000000000000000000000000000007_<51>

= 2837 · 1738171 · 5813430457_<10> · 31394834085695353139263185335513_<32>

9·10⁵¹+7 =

9000000000000000000000000000000000000000000000000007_<52>

= 71 · 79 · 269231 · 5959804381446739851550239052753353504282433_<43>

9·10⁵²+7 =

90000000000000000000000000000000000000000000000000007_<53>

= definitely prime number

9·10⁵³+7 =

900000000000000000000000000000000000000000000000000007_<54>

= definitely prime number

9·10⁵⁴+7 =

9000000000000000000000000000000000000000000000000000007_<55>

= 96667 · 32563592000353_<14> · 2859117238343561366977616921778328357_<37>

9·10⁵⁵+7 =

90000000000000000000000000000000000000000000000000000007_<56>

= 587915503433_<12> · 153083222800666585802401214018607490828393679_<45>

9·10⁵⁶+7 =

900000000000000000000000000000000000000000000000000000007_<57>

= 202726208959_<12> · 4439485178662907331953211834637926294079494073_<46>

9·10⁵⁷+7 =

9000000000000000000000000000000000000000000000000000000007_<58>

= 167 · 503 · 107141581647837525743741145938738824537803121391412007_<54>

9·10⁵⁸+7 =

90000000000000000000000000000000000000000000000000000000007_<59>

= 23 · 7768757954124639374218829927_<28> · 503689714799690874030324682567_<30>

9·10⁵⁹+7 =

900000000000000000000000000000000000000000000000000000000007_<60>

= 17 · 859 · 5387 · 10687 · 40849 · 311551 · 20154581 · 110974219 · 102893998021_<12> · 365511585221_<12>

9·10⁶⁰+7 =

9000000000000000000000000000000000000000000000000000000000007_<61>

= 43 · 1787 · 23569303783_<11> · 4969386173806805680967405358356768068114258169_<46>

9·10⁶¹+7 =

90000000000000000000000000000000000000000000000000000000000007_<62>

= 191 · 302443 · 25874539961_<11> · 783797899245299137_<18> · 76822577251443582964129027_<26>

9·10⁶²+7 =

900000000000000000000000000000000000000000000000000000000000007_<63>

= 15661 · 76064293 · 5391817055658913962413_<22> · 140122229483223695588233907843_<30>

9·10⁶³+7 =

9000000000000000000000000000000000000000000000000000000000000007_<64>

= 1187 · 6199 · 1223123059905985325513137496835169082493262970234756726939_<58>

9·10⁶⁴+7 =

90000000000000000000000000000000000000000000000000000000000000007_<65>

= 29 · 79 · 281 · 139801264735441639962036189887397847992531505768355517722917_<60>

9·10⁶⁵+7 =

900000000000000000000000000000000000000000000000000000000000000007_<66>

= 19 · 151 · 488639 · 15565855100049645789657947_<26> · 41243057270786854086689174116591_<32>

9·10⁶⁶+7 =

9000000000000000000000000000000000000000000000000000000000000000007_<67>

= 4350067 · 11909368660141_<14> · 3837713131702823_<16> · 45267375514988686192573342044647_<32>

9·10⁶⁷+7 =

90000000000000000000000000000000000000000000000000000000000000000007_<68>

= 59 · 835772711 · 1825165752287357611552715921451933793411285962386083477843_<58>

9·10⁶⁸+7 =

900000000000000000000000000000000000000000000000000000000000000000007_<69>

= 3894571 · 231090921182333047722072597983192500534718714846898413201351317_<63>

9·10⁶⁹+7 =

9000000000000000000000000000000000000000000000000000000000000000000007_<70>

= 77933 · 2032873 · 3532301 · 16082485291406512407293730220387529891576114100288823_<53>

9·10⁷⁰+7 =

90000000000000000000000000000000000000000000000000000000000000000000007_<71>

= 3842977065455451556992473_<25> · 23419343510792881490763675223526461774338881759_<47>

9·10⁷¹+7 =

900000000000000000000000000000000000000000000000000000000000000000000007_<72>

= 47 · 4931 · 229169007402534616701149_<24> · 16945475709674125297636062030058685840841599_<44>

9·10⁷²+7 =

9000000000000000000000000000000000000000000000000000000000000000000000007_<73>

= 5902300651241_<13> · 1524829135585915475643870986938958472948807264684243115356527_<61>

9·10⁷³+7 =

90000000000000000000000000000000000000000000000000000000000000000000000007_<74>

= 1181 · 665039 · 3327967 · 34432335884444838465407654764415807242941038070700028982019_<59>

9·10⁷⁴+7 =

900000000000000000000000000000000000000000000000000000000000000000000000007_<75>

= 347 · 23044619122306838333950723577130739_<35> · 112549481881108171366522590225577624679_<39> (Makoto Kamada / GGNFS-0.70.1 / 0.08 hours)

9·10⁷⁵+7 =

9000000000000000000000000000000000000000000000000000000000000000000000000007_<76>

= 17 · 229 · 277 · 449 · 6649596329432614981_<19> · 2795353354079316563063129287317341384967621679123_<49>

9·10⁷⁶+7 =

90000000000000000000000000000000000000000000000000000000000000000000000000007_<77>

= 5147 · 2964823 · 7789979 · 11653075961_<11> · 64969975914081433636872249601472079479799280155713_<50>

9·10⁷⁷+7 =

900000000000000000000000000000000000000000000000000000000000000000000000000007_<78>

= 67 · 79 · 170035896467031928962781031551105233327035707538258076705082184016625732099_<75>

9·10⁷⁸+7 =

9000000000000000000000000000000000000000000000000000000000000000000000000000007_<79>

= 163 · 11344059899_<11> · 2140140836520737_<16> · 1316920106472587579_<19> · 1726969277561493714530753234176757_<34>

9·10⁷⁹+7 =

90000000000000000000000000000000000000000000000000000000000000000000000000000007_<80>

= 887 · 60204580433230036445475569_<26> · 1685347089881237977241164817169150672317433377933569_<52>

9·10⁸⁰+7 =

900000000000000000000000000000000000000000000000000000000000000000000000000000007_<81>

= 23 · 3493444116795736567_<19> · 11201105119866633846987553851635845511243003479047346047455927_<62>

9·10⁸¹+7 =

9000000000000000000000000000000000000000000000000000000000000000000000000000000007_<82>

= 43 · 12653 · 1074711494374362360131351_<25> · 15391773081426389524940266255061439731360302352535583_<53>

9·10⁸²+7 =

90000000000000000000000000000000000000000000000000000000000000000000000000000000007_<83>

= 113 · 63361 · 431993839 · 4806752850937592245584965049997_<31> · 6053585733039901321452056359007073053_<37>

9·10⁸³+7 =

900000000000000000000000000000000000000000000000000000000000000000000000000000000007_<84>

= 19 · 107 · 13477 · 87481 · 206669371 · 1816862436071974351664856163206415065435433852744791844318116377_<64>

9·10⁸⁴+7 =

9000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<85>

= 37540872749803026780219257208280099711_<38> · 239738699203449448401226911674682966084085583737_<48> (Makoto Kamada / GGNFS-0.70.1 / 0.10 hours)

9·10⁸⁵+7 =

90000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<86>

= 859 · 460188116299589_<15> · 227674266544468560029099294726620210900973819681465144164541450313857_<69>

9·10⁸⁶+7 =

900000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<87>

= 71 · 109 · 16633 · 10229919692731_<14> · 683462751827408425810699078598450505189470650104991204760672073431_<66>

9·10⁸⁷+7 =

9000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<88>

= 183701486161669351_<18> · 22555660007470486838578864250029_<32> · 2172072414241268908665425047380640780933_<40> (Makoto Kamada / msieve 0.83 / 3 minutes)

9·10⁸⁸+7 =

90000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<89>

= 889652508240511_<15> · 1882044220804716949_<19> · 57468419267717580741677_<23> · 935326043004333592549650177498569_<33>

9·10⁸⁹+7 =

900000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<90>

= 61 · 419 · 35212645252161665166868813333855002151883876520990649086427481513361242615125787393873_<86>

9·10⁹⁰+7 =

9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<91>

= 79 · 401 · 786963017 · 361007913654033055588366174089152146044528472763557134674252228694714741028849_<78>

9·10⁹¹+7 =

90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<92>

= 17 · 226663 · 511757 · 1982093 · 23026351816405663175401007450085236204067413374946983623499053410694480617_<74>

9·10⁹²+7 =

900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<93>

= 29 · 281 · 2659418070948487361_<19> · 41529009803866285174258566119030080668819790512972960627014868069214763_<71>

9·10⁹³+7 =

9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<94>

= 4519 · 22274809 · 52554354887_<11> · 1652355971681_<13> · 419928407977937_<15> · 2451876550436662060992815668656141171343835903_<46>

9·10⁹⁴+7 =

90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<95>

= 16422263893289_<14> · 133065403562241402623407235161_<30> · 41185498539523277893642540909248923271719039100102983_<53> (Makoto Kamada / GGNFS-0.71.4 / 0.35 hours)

9·10⁹⁵+7 =

900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<96>

= 551927 · 3979115119387_<13> · 119309829429943519351367381_<27> · 3434773793680286789641493855776211035594901833206103_<52>

9·10⁹⁶+7 =

9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<97>

= 617 · 62969 · 123351872807_<12> · 212913326286128764053610401451840837_<36> · 8820271561229208530135721264201306393781901_<43> (Makoto Kamada / GGNFS-0.71.4 / 0.33 hours)

9·10⁹⁷+7 =

90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<98>

= 97 · 1005264169033_<13> · 4686707131604272037_<19> · 2282640880273846353261428003_<28> · 86275039243430495169552987970112893537_<38>

9·10⁹⁸+7 =

900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<99>

= 8408017 · 349301040512037626427403_<24> · 306442536887437639744097079990503423816378097131690321992383405203557_<69>

9·10⁹⁹+7 =

9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<100>

= 359 · 1506487 · 16164937 · 1029458055118304461905516790379596773016269339698973618665858253123227286441908397167_<85>

9·10¹⁰⁰+7 =

90000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<101>

= 101925187499_<12> · 883000583156965010078170962502062318624648714221150181491902089279864234630717399804937493_<90>

9·10¹⁰¹+7 =

9(0)₁₀₀7_<102>

= 19 · 1877 · 11633 · 17503027708594957_<17> · 123942350331542861211340802912083776681110113908602010972497555223170095766269_<78>

9·10¹⁰²+7 =

9(0)₁₀₁7_<103>

= 23 · 43 · 269913089511491976967_<21> · 33714930716048616000868901517745205903073585405064620866765805414031203280047989_<80>

9·10¹⁰³+7 =

9(0)₁₀₂7_<104>

= 79 · 1999 · 94765291 · 950835101 · 10350710598611195715112167757_<29> · 611051692926898441324044625243224876026087201019011741_<54>

9·10¹⁰⁴+7 =

9(0)₁₀₃7_<105>

= 3048173 · 23073218249_<11> · 150373559191_<12> · 4982691326905656873829657_<25> · 17078875019843100655316058053111621111907753102153493_<53>

9·10¹⁰⁵+7 =

9(0)₁₀₄7_<106>

= 1109 · 26804831 · 37523878698616077433418671_<26> · 8068451011938861167044390430448780885272172524848974475160024137069723_<70>

9·10¹⁰⁶+7 =

9(0)₁₀₅7_<107>

= 991 · 1661137 · 6622425586018027_<16> · 2232398633384427063570953_<25> · 3698065237118731975924001557313728741070405667045982772291_<58>

9·10¹⁰⁷+7 =

9(0)₁₀₆7_<108>

= 17 · 449 · 3793 · 1428226259_<10> · 18185642971779607238865540378270917_<35> · 1196847260703678301945986408871021597746664671533002159801_<58> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2972516740 for P35 / Oct 28, 2007)

9·10¹⁰⁸+7 =

9(0)₁₀₇7_<109>

= 37871 · 3406331833_<10> · 88079868587_<11> · 144064331776620889004606685503461_<33> · 5498138252554114429604456503865744400402842973430807_<52> (Jo Yeong Uk / Msieve v. 1.28 for P33 x P52 / 19.2 minutes on Core 2 Quad Q6600 / Nov 5, 2007)

9·10¹⁰⁹+7 =

9(0)₁₀₈7_<110>

= 8861 · 95737 · 145753 · 3084865037_<10> · 2005489201489_<13> · 1143490754045839181779_<22> · 102890032020257046174039252298599233433946828738369861_<54>

9·10¹¹⁰+7 =

9(0)₁₀₉7_<111>

= 67 · 43399073 · 748646649156295913_<18> · 413437978525873637862364508106443655329950933187075273278213406991514247944266185029_<84>

9·10¹¹¹+7 =

9(0)₁₁₀7_<112>

= 131 · 859 · 682916690512923260407060455419117_<33> · 51118310350528656363520883890560151_<35> · 2291046123805509364111583138403788910949_<40> (Robert Backstrom / GMP-ECM 6.0.1 B1=598500, sigma=2450905158 for P33, Msieve v. 1.29 for P35 x P40 / Nov 5, 2007)

9·10¹¹²+7 =

9(0)₁₁₁7_<113>

= 1706363 · 6132851 · 14021233 · 366287276724937330096345104351579811913585089_<45> · 1674559682769946750885495255184227109771029382647_<49> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 0.89 hours on Core 2 Quad Q6600 / Nov 5, 2007)

9·10¹¹³+7 =

9(0)₁₁₂7_<114>

= 691 · 1091 · 10177 · 79435844459_<11> · 264144729178810890855853_<24> · 350555964194053249420381543_<27> · 15947922287921696095546131546866260790470951_<44>

9·10¹¹⁴+7 =

9(0)₁₁₃7_<115>

= 653 · 4287299 · 249763385813_<12> · 115630510169949718409527011290812428381853_<42> · 111312603505914666012718121697883345483669372301240129_<54> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 0.90 hours on Core 2 Quad Q6600 / Nov 5, 2007)

9·10¹¹⁵+7 =

9(0)₁₁₄7_<116>

= 41389800449_<11> · 49442606979709_<14> · 1208116837272685326229307_<25> · 177678281399335906395434141059_<30> · 204882343520358898834628465918312493379_<39> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3723551422 for P30 / Oct 28, 2007)

9·10¹¹⁶+7 =

9(0)₁₁₅7_<117>

= 79 · 787157062331151619_<18> · 20335399885619279726241161324393_<32> · 711707110636624387503508211626233636313618046171221768038049418699_<66> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1562534670 for P32 / Oct 28, 2007)

9·10¹¹⁷+7 =

9(0)₁₁₆7_<118>

= 47 · 443867 · 17471857037357853190634584935442902072067_<41> · 24691798610564857752888526692177153472802870226100236461016311059115929_<71> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.78 hours on Pentium 4 2.4GHz, Windows XP / Nov 6, 2007)

9·10¹¹⁸+7 =

9(0)₁₁₇7_<119>

= 1809173 · 7836379505685731093_<19> · 414101468025620512984167535433_<30> · 15329930341257740147908572071334777181473774872861935942459866311_<65> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2104043857 for P30 / Oct 28, 2007)

9·10¹¹⁹+7 =

9(0)₁₁₈7_<120>

= 19 · 321486829 · 62046400978007_<14> · 142955807387387_<15> · 16611441673500251778148440867388517884982624520227796655298609723769769937757103573_<83>

9·10¹²⁰+7 =

9(0)₁₁₉7_<121>

= 29 · 281 · 386471 · 142583653 · 266099299493114096677875328801409_<33> · 75319566589929176165358361692126958829966221213822132241587381268023129_<71> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.09 hours on Pentium 4 2.46GHz, Windows XP / Nov 5, 2007)

9·10¹²¹+7 =

9(0)₁₂₀7_<122>

= 71 · 10733 · 14298301 · 13437563210843_<14> · 46754707307478264058557236237372093839004268587_<47> · 13147183761460396406902731745730328931732164333889_<50> (Sinkiti Sibata / Msieve v. 1.28 / 39.6 hours on Pentium3 750MHz, Windows Me / Nov 7, 2007)

9·10¹²²+7 =

9(0)₁₂₁7_<123>

= 373 · 821 · 4957 · 401381 · 7420538329_<10> · 746169961869543652361_<21> · 31868011160704704569275664659756981_<35> · 8371179526300102535493648044260881054098483_<43> (Makoto Kamada / Msieve 1.29 for P35 x P43 / 11 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Nov 4, 2007)

9·10¹²³+7 =

9(0)₁₂₂7_<124>

= 17 · 43 · 433 · 11100899 · 24530511751_<11> · 51734818150807670030951_<23> · 2018317795905495505469921474422236136664624693042659533700301140110152747825591_<79>

9·10¹²⁴+7 =

9(0)₁₂₃7_<125>

= 23 · 457 · 599 · 5073457 · 16615407572899_<14> · 260586084936521_<15> · 79737552713919697515769_<23> · 8160984346776014555404163965119493999131072122016855502987109_<61>

9·10¹²⁵+7 =

9(0)₁₂₄7_<126>

= 59 · 197 · 780276504913993749776514163_<27> · 168433376589385637858874337945123_<33> · 589179444496025582370853279278377242678265721322770523869579241_<63> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2361933230 for P33 / Oct 29, 2007)

9·10¹²⁶+7 =

9(0)₁₂₅7_<127>

= 18386461 · 1742218293047_<13> · 13822662893206118250744627949841_<32> · 20325913755563927082639117313372686004914219990075373791674260136282142256981_<77> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 3.97 hours on Pentium 4 2.4GHz, Windows XP / Nov 5, 2007)

9·10¹²⁷+7 =

9(0)₁₂₆7_<128>

= 344206321 · 33157853781215682395478284485540807_<35> · 7885645618034098004254139912968642957732499669205257892740457352566043261860258601681_<85> (Robert Backstrom / GMP-ECM 6.0.1 B1=907500, sigma=3852484092 for P35 / Nov 5, 2007)

9·10¹²⁸+7 =

9(0)₁₂₇7_<129>

= 611549 · 1471672752306029443266197802629061612397371265425992030074450289347215022835455539948556861347169237460939352365877468526643_<124>

9·10¹²⁹+7 =

9(0)₁₂₈7_<130>

= 79² · 20153348113_<11> · 449928652266029_<15> · 657777356433487_<15> · 4516316879352371386169_<22> · 53534548543679115437812940898891666518314603059535163946831691717_<65>

9·10¹³⁰+7 =

9(0)₁₂₉7_<131>

= 1117 · 64871 · 471277 · 7026630811159_<13> · 23839607767091720240800997_<26> · 2711253821099303589206868267614807_<34> · 5802913273845990223168853880312421469788456133_<46> (Makoto Kamada / Msieve 1.29 for P34 x P46 / 17 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Nov 5, 2007)

9·10¹³¹+7 =

9(0)₁₃₀7_<132>

= 38921 · 632971 · 968437 · 83275116371_<11> · 274255609394142444443_<21> · 2288057282169860293574275141471863042313_<40> · 721881101657780564083407600404226856588479089_<45> (Jo Yeong Uk / Msieve v. 1.28 for P40 x P45 / 20.86 minutes on Core 2 Quad Q6600 / Nov 5, 2007)

9·10¹³²+7 =

9(0)₁₃₁7_<133>

= 491 · 85117573 · 139221663158686554389864242499707408798312738177711_<51> · 1546802865177850881667388439251649501422697254868710734255734319160698559_<73> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 3.77 hours on Core 2 Quad Q6600 / Nov 5, 2007)

9·10¹³³+7 =

9(0)₁₃₂7_<134>

= 5881 · 26930082287_<11> · 176964956297383872307_<21> · 25264976655443100325796147326226279933324489_<44> · 127100563245798676374051740186784449244832505678728530547_<57> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 8.81 hours on Pentium 4 2.4GHz, Windows XP / Nov 6, 2007)

9·10¹³⁴+7 =

9(0)₁₃₃7_<135>

= 22488960520231_<14> · 40019635375781942287308278458911705523150226777318042871215798287894773297218465985743236760206350004672974237980499729697_<122>

9·10¹³⁵+7 =

9(0)₁₃₄7_<136>

= 1002121 · 14760091 · 588447254183867044277609191468715934421424931568990421_<54> · 1034012456449314522976535796820781617144073180839915839118262268905897_<70> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 4.84 hours on Cygwin on AMD 64 3200+ / Nov 5, 2007)

9·10¹³⁶+7 =

9(0)₁₃₅7_<137>

= 107 · 12437053595063143_<17> · 22550053545005988063274052033_<29> · 2999118656732694548692186091248794631299515848412730884971053308986847079572429229153734179_<91>

9·10¹³⁷+7 =

9(0)₁₃₆7_<138>

= 19 · 859 · 20563 · 2399769503_<10> · 188265085079_<12> · 1778158252400731_<16> · 179047631315557466711_<21> · 18643651008000491201796705329263656278184486474567604340088694226607133577_<74>

9·10¹³⁸+7 =

9(0)₁₃₇7_<139>

= 29537 · 33587 · 12815293 · 141456967 · 50022985511_<11> · 100042013036097848736050797990265280606211593075465633151068911696717595658249012161231613754711251346033_<105>

9·10¹³⁹+7 =

9(0)₁₃₈7_<140>

= 17 · 449 · 4391 · 2685244340675994748020102216511072172416078133210973710473315190430218808925262877216038916709180549056684105737403451666780391737169_<133>

9·10¹⁴⁰+7 =

9(0)₁₃₉7_<141>

= 151 · 160910339138441_<15> · 119266962910373522768317901849023_<33> · 1073502048919627741496999269090973341811523617_<46> · 289306754986378993892936910082750693641415226647_<48> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 6.15 hours on Core 2 Quad Q6600 / Nov 5, 2007)

9·10¹⁴¹+7 =

9(0)₁₄₀7_<142>

= 16931 · 57373 · 611247706213202431484119_<24> · 5792751735469845586935304109_<28> · 2616677390398689523178966211329234708530941624641108281963018891061172203453819059_<82>

9·10¹⁴²+7 =

9(0)₁₄₁7_<143>

= 79 · 571 · 25439 · 42557 · 265021 · 22878221 · 96583740842819843_<17> · 3147035976036150520987219177046911060214015951519515885189364143642655871909765749720792056505580427_<100>

9·10¹⁴³+7 =

9(0)₁₄₂7_<144>

= 67 · 14449 · 16764671435106466291549252481783_<32> · 55454254267525152340965490394347806129765919513362592966669387843539324159605808600050322487693263291392363_<107> (Robert Backstrom / GMP-ECM 6.0.1 B1=499500, sigma=3166951252 for P32 / Nov 5, 2007)

9·10¹⁴⁴+7 =

9(0)₁₄₃7_<145>

= 43 · 277 · 755604063470741331542271849550835362270170430694316178322558979094954243976156493997145495760221643858618084123919066409201578372932583326337_<141>

9·10¹⁴⁵+7 =

9(0)₁₄₄7_<146>

= 19577 · 32427523 · 13022329653449_<14> · 782973965017999975662824355872611_<33> · 13904218568670339449430188271837855895874959750974946433657093832640870849598606047965103_<89> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1309427083 for P33 / Oct 30, 2007)

9·10¹⁴⁶+7 =

9(0)₁₄₅7_<147>

= 23 · 4271 · 437543 · 5421833 · 8849681 · 23988971368700909013664451648647553_<35> · 18191938657561789126660465345836496511300044062263632583171015546703249344891910371448337_<89> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=443481190 for P35 / Nov 5, 2007)

9·10¹⁴⁷+7 =

9(0)₁₄₆7_<148>

= 25951 · 1738969 · 197021917 · 92978880982634662097_<20> · 102931531869565976194616134711_<30> · 2005256885602141410291462050850625780121_<40> · 52744753108364828721861464937342277420987_<41> (JMB / GMP-ECM 6.1.3 B1=3000000, sigma=519784128 for P30, Msieve 1.29 for P40 x P41 / Nov 5, 2007)

9·10¹⁴⁸+7 =

9(0)₁₄₇7_<149>

= 29 · 281 · 11044299914099889557000859001104429991409988955700085900110442999140998895570008590011044299914099889557000859001104429991409988955700085900110443_<146>

9·10¹⁴⁹+7 =

9(0)₁₄₈7_<150>

= 61 · 181 · 81536713 · 49357794583378872791_<20> · 20254669152677377266280922095175893962356955823963752764712100727117933189387492639975894464403380479340287196615945769_<119>

9·10¹⁵⁰+7 =

9(0)₁₄₉7_<151>

= 19732343 · 326052556279_<12> · 589499724724831441087810448027951375963_<39> · 2372972128635709558872684003447910854760650370032899324921933688620430554494554451055042317237_<94> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 12.90 hours on Core 2 Quad Q6600 / Nov 6, 2007)

9·10¹⁵¹+7 =

9(0)₁₅₀7_<152>

= 269 · 21613 · 67791928153_<11> · 44970969250703_<14> · 383031576676808952277813_<24> · 6810025963958582438251862479127272552967_<40> · 1946621858651143417424307752923064400610721325684111628979_<58> (JMB / Msieve 1.29 for P40 x P58 / Nov 5, 2007)

9·10¹⁵²+7 =

9(0)₁₅₁7_<153>

= 4761397 · 170458908643_<12> · 49688519499466733076979_<23> · 703840987201156095759020645169329337871_<39> · 31707193373284828223436939712373236806907701314756561688871528206762760813_<74> (JMB / GGNFS-0.77.1-20060513-athlon-xp / Nov 6, 2007)

9·10¹⁵³+7 =

9(0)₁₅₂7_<154>

= 907 · 1567 · 51635332541907318461_<20> · 4772486568530653705948719675085861919871051034726502704647793_<61> · 25696533054533355691086868666739471157508323084478430890473067987511_<68> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 26.78 hours on Cywin on AMD 64 3200+ / Nov 8, 2007)

9·10¹⁵⁴+7 =

9(0)₁₅₃7_<155>

= 342774283579171568600971909894532466448184589420657720323497289127488139607_<75> · 262563454469922156375323276959104849917481523961677799993943153957816466910677201_<81> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.29 / Nov 7, 2007)

9·10¹⁵⁵+7 =

9(0)₁₅₄7_<156>

= 17 · 19 · 79 · 6709727 · 9693407 · 32223117980178911_<17> · 1318096742024160957917_<22> · 220228970282779081724330072917_<30> · 57975206121455256625031982521359268473033279314724398614041353953025341_<71> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=940415250 for P30 / Oct 31, 2007)

9·10¹⁵⁶+7 =

9(0)₁₅₅7_<157>

= 71 · 191 · 5441 · 121975348483909438941722360497844282231386124743023352275336959949570511922812481563934307275771259954255720586244425235284687278449567550632407622207_<150>

9·10¹⁵⁷+7 =

9(0)₁₅₆7_<158>

= 47237 · 1991089 · 39596002810909_<14> · 24166746248250206178005679631799168880616857854837584695075779328676802149270930138770761112345345957557654944976003160326033945850311_<134>

9·10¹⁵⁸+7 =

9(0)₁₅₇7_<159>

= 1163 · 68163803 · 11352956716236722360810968213197343812611542493049514504411287321342814254780662355974070521932150466266167594334140486142052432189550528913944862063_<149>

9·10¹⁵⁹+7 =

9(0)₁₅₈7_<160>

= 163 · 2131 · 103549 · 34492044571_<11> · 112885640420266756353793_<24> · 64264022555252895661814765721900491510523326149930205284378092418318098645083931683721727368179898766585834308829777_<116>

9·10¹⁶⁰+7 =

9(0)₁₅₉7_<161>

= 193 · 233 · 43499 · 1514405906081012721338467999_<28> · 9539345889759064940903674568760087065552798466254478738629_<58> · 3184850972645850020285709503660847208668237617514389096861847478007_<67> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 30.91 hours on Core 2 Quad Q6600 / Nov 7, 2007)

9·10¹⁶¹+7 =

9(0)₁₆₀7_<162>

= 32742491009_<11> · 15305913553837_<14> · 2871374186022696036738055549847702632759229312163023359543043_<61> · 625434371370412843235342091358846490870084281799111208724718685614180061274753_<78> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.30 / Dec 6, 2007)

9·10¹⁶²+7 =

9(0)₁₆₁7_<163>

= 5675476123_<10> · 19653188594940718862107501_<26> · 688903506523745903246622831283151599_<36> · 117124780898551182812517761055884645674869174813318998257172923202640159324081908982573296791_<93> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=1722669635 for P36 / Nov 6, 2007)

9·10¹⁶³+7 =

9(0)₁₆₂7_<164>

= 47 · 349 · 859 · 58211 · 818470811192938112676337938572201_<33> · 873583190755642325776044428797599382814221_<42> · 153466481365034760327052932409167822889494591377902353931701362171082781011161_<78> (Robert Backstrom / GMP-ECM B1=706500, sigma=1325755017 for P33, GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.29 / Nov 11, 2007)

9·10¹⁶⁴+7 =

9(0)₁₆₃7_<165>

= 883 · 24573393591862132649_<20> · 2564993881968404917452325855647781_<34> · 16170756423913671663934778083625100661998605305949217253030068605305369307115708420697061171260255444165225841_<110> (JMB / GMP-ECM B1=3000000, sigma=652730646 for P34 / Nov 11, 2007)

9·10¹⁶⁵+7 =

9(0)₁₆₄7_<166>

= 43 · 23131 · 1418088383_<10> · 35942958881_<11> · 316632999964816314980011979278660259022505001_<45> · 74603769316589492099122294657235536113237612649_<47> · 7515287056062349794626336991939024137322161656577_<49> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.33 / Feb 1, 2008)

9·10¹⁶⁶+7 =

9(0)₁₆₅7_<167>

= 1052881 · 85479745574286172891333398551213290010931909684000376110880526859160721866953625338476048100402609601654887874318180307176214595951489294611641771482247281506647_<161>

9·10¹⁶⁷+7 =

9(0)₁₆₆7_<168>

= 313 · 8956176269_<10> · 135292943581_<12> · 1749166838037127_<16> · 1318100722407302189_<19> · 1029249252893857176249574167415492597911554157335312647739585988530140635652764140082211495840740260382282481717_<112>

9·10¹⁶⁸+7 =

9(0)₁₆₇7_<169>

= 23 · 79 · 206052919 · 518574098737_<12> · 9433668111111252131_<19> · 4913799101147233797409286892484343931875925190278627935886573064039079910184675560176867149080967383889157094205766334909396547_<127>

9·10¹⁶⁹+7 =

9(0)₁₆₈7_<170>

= 2111 · 1429958609_<10> · 56769904881370799699375018291651_<32> · 525185398197314224568248713026766256427182001005757531713576174925963787257959304880282840700874560113146274753741218461103843_<126> (JMB / GMP-ECM B1=3000000, sigma=2265572958 for P32 / Nov 11, 2007)

9·10¹⁷⁰+7 =

9(0)₁₆₉7_<171>

= 11593 · 647317419452212964571902174202614495944617659_<45> · 439565483361516384512985467534108059954554466647701_<51> · 272838590381901265341010790500512053115606212399648275844615354818716361_<72> (Tyler Cadigan / GGNFS, Msieve / 93.71 hours on core 2 quad Q6600 2.40 GHz, 2 gb RAM / Jan 30, 2008)

9·10¹⁷¹+7 =

9(0)₁₇₀7_<172>

= 17 · 449 · 4703 · 26111 · 363220799 · 663447595827760319_<18> · 39844779653149576319973767926010150085500680448921436278309559997793747243727949456197744427433891665203116701295972268169376875992823_<134>

9·10¹⁷²+7 =

9(0)₁₇₁7_<173>

= 144013 · 382692063491194607055392279269_<30> · [1633019445924847816531623793088519593143052670462098809010469605276068047839854684755659741797328084812412861913726530845395333282204353831_<139>] (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=4119772042 for P30 / Nov 1, 2007) SUBMIT/RESERVE

9·10¹⁷³+7 =

9(0)₁₇₂7_<174>

= 19 · 647 · 224401 · 4204449134966651726234511502249_<31> · 77598037366254001837116882823105292830227805356149887771917581121716866409828186604482406682111147355193961123945624774784312354859251_<134> (JMB / GMP-ECM B1=3000000, sigma=2897406131 for P31 / Nov 11, 2007)

9·10¹⁷⁴+7 =

9(0)₁₇₃7_<175>

= 213169063 · 64080489533_<11> · 436773716425002099851_<21> · 1508467703459663143953333757246377455642578806715172554853192697956754383600532209235858297749557104731204975902715126108436614742315583_<136>

9·10¹⁷⁵+7 =

9(0)₁₇₄7_<176>

= 5209 · 17277788443079285851411019389518141677865233250143981570358994048761758494912651180648876943751199846419658283739681320790938759838740641197926665386830485697830677673257823_<173>

9·10¹⁷⁶+7 =

9(0)₁₇₅7_<177>

= 29 · 67 · 281 · 2213 · 24019 · 4682059 · 207316764377111_<15> · 31948888131092494186674004607385867654777386268194086358069247188332213605356771316117800266887295653993111594831673732811817613194906936489043_<143>

9·10¹⁷⁷+7 =

9(0)₁₇₆7_<178>

= 153438528657199_<15> · 32667044190772508911_<20> · 231363885166211856645528826109773_<33> · 7760731807961019750154843183467424612751080704744319434512584619725381829268383039969389480897051376995338032131_<112> (JMB / GMP-ECM B1=3000000, sigma=2512640220 for P33 / Nov 12, 2007)

9·10¹⁷⁸+7 =

9(0)₁₇₇7_<179>

= 149 · 34477381911603229695013790339605181_<35> · [17519510245477803843772234672206519263441432562534062592219996721821259842723144120268391140425192935308257597913633559158414046764815248848903_<143>] (JMB / GMP-ECM B1=3000000, sigma=1063157681 for P35 / Nov 15, 2007) SUBMIT/RESERVE

9·10¹⁷⁹+7 =

9(0)₁₇₈7_<180>

= 367699 · 313009111137872717_<18> · 1707358559977705545311234918697001_<34> · 4580030236511827524816894288626065240922568714998170751384355667293248449614016116415020750898340461128531874477462326513929_<124> (JMB / GMP-ECM B1=3000000, sigma=1191697203 for P34 / Nov 13, 2007)

9·10¹⁸⁰+7 =

9(0)₁₇₉7_<181>

= 174763 · 1485819953_<10> · 14249168538389101_<17> · 2432412960142440603930360250671094773103444995191883961268622814522744268875467906180373051125872598032936560663403268537599273252415961140489508943513_<151>

9·10¹⁸¹+7 =

9(0)₁₈₀7_<182>

= 79 · 257 · 244637 · 8512657957698933206364996840866746830424447731789547_<52> · 2128604465477319399779522456754361848962080507428346805103942531536208640072972366805607636173490224009642228179113256471_<121> (matsui / GGNFS-0.77.1-20060722-nocona / May 7, 2009)

9·10¹⁸²+7 =

9(0)₁₈₁7_<183>

= 681997 · 5371290194501118001753_<22> · 15159963126712966411921_<23> · 6744944339966240521048365048076011509_<37> · 19234654468418325743668292529120757280653_<41> · 124916706233941797813783021695951936693773474351449547931_<57> (JMB / GMP-ECM B1=3000000, sigma=3205671956 for P37, Msieve 1.29 for P41 x P57 / Nov 12, 2007)

9·10¹⁸³+7 =

9(0)₁₈₂7_<184>

= 59 · 5879009045374855927_<19> · 81464545498575947436007410472506863_<35> · 318506082558980426195556346049653444619519149682263511747011957601975589600934055977483795167502851069663481908650764978825371373_<129> (JMB / GMP-ECM B1=3000000, sigma=2615577722 for P35 / Nov 11, 2007)

9·10¹⁸⁴+7 =

9(0)₁₈₃7_<185>

= 617 · 3725507 · 159746791 · 1198459567_<10> · 80746431532206891622049_<23> · 666062407088402900138543_<24> · 11636058351571852705216457129789359016330456971195199_<53> · 326792650541123463809952364790176505238645003791330917413293_<60> (JMB / GGNFS-0.77.1-20060513-athlon-xp / Nov 6, 2007)

9·10¹⁸⁵+7 =

9(0)₁₈₄7_<186>

= 3260111 · 16002389063807038301896669024272082879641164981792275113754829766261058133472766404528443_<89> · 17251437819596683036560616627382651350704560527929204910892350271133158669382239777179811659_<92> (Wataru Sakai / / 307.81 hours / Nov 22, 2008)

9·10¹⁸⁶+7 =

9(0)₁₈₅7_<187>

= 43 · 179 · 111427 · 320027 · 1764798836793745988561_<22> · 19608191619841530716063_<23> · 947569805333121029756005712219395622576412023617093538308914427789335659162926973504107798605592421304934812396034086549251128873_<129>

9·10¹⁸⁷+7 =

9(0)₁₈₆7_<188>

= 17² · 132978624379_<12> · 9732595564367067043_<19> · [240621347156878395717353995031867903152072461183964318840499956323546240806461387966322565956962772553032595105513180633338915791852714974018541998807455479_<156>] SUBMIT/RESERVE

9·10¹⁸⁸+7 =

9(0)₁₈₇7_<189>

= 2213551 · 38989493 · 652917848061364990158139_<24> · [15971542021600508622319355227196166051435400544466499230869687565476299432098383275387383260213256675227142385710526846682243190058269989430888225372191_<152>] SUBMIT/RESERVE

9·10¹⁸⁹+7 =

9(0)₁₈₈7_<190>

= 107 · 859 · 23081 · 4242393482643187227298858552498369962828803519184935073323617520052390467277171569000673005288676603562385039356257742247315453824765739639599142405436906680324634529715525319843319_<181>

9·10¹⁹⁰+7 =

9(0)₁₈₉7_<191>

= 23 · 1303 · 5562423025121_<13> · 96763374188051_<14> · [5579499456124916846960968448018097053826427056794051498741823177370329064518159593397511287945411080636289879906151500095724711820769542233661557004814612990093_<160>] SUBMIT/RESERVE

9·10¹⁹¹+7 =

9(0)₁₉₀7_<192>

= 19² · 71 · 223 · 5348430907_<10> · 7081217033400011183081_<22> · 4467601201156530952852184773_<28> · 16211565179348756515840607697259_<32> · 21676057655573837315308075461982724731_<38> · 2648244977702149059480307274983753320329588866774945947601_<58> (JMB / GMP-ECM B1=3000000, sigma=1309460285 for P32, Msieve 1.29 for P38 x P58 / Nov 12, 2007)

9·10¹⁹²+7 =

9(0)₁₉₁7_<193>

= definitely prime number

9·10¹⁹³+7 =

9(0)₁₉₂7_<194>

= 97 · 24329 · 85239169 · 137663371 · [3250041523050880615321685222455062995653569802851624081711673811890186036476064823622620134217460920482180458538096673578394266544203039644075465610181899098442782954818861_<172>] SUBMIT/RESERVE

9·10¹⁹⁴+7 =

9(0)₁₉₃7_<195>

= 79 · 109 · 113 · 337 · 5693 · [482102509399382305639054197378589431207065914856305230108246489564701648394981629174323993599174686401781294569583684249875193592833449821844000796912784688649247078219213402953478289_<183>] SUBMIT/RESERVE

9·10¹⁹⁵+7 =

9(0)₁₉₄7_<196>

= 704607636554329_<15> · [12773066218827522011106275537305515927847495909386121725263137128642486722378834647869843647963187047362930490895721862305030988608693529849187618358750907296173509407467498271148383_<182>] SUBMIT/RESERVE

9·10¹⁹⁶+7 =

9(0)₁₉₅7_<197>

= 379 · 84347 · 2793581839990665879086071955488871732154051874807346381894557450536389_<70> · 1007795141038902862381302247759455291325233747340278362348189347943401583915173253582538601189245685674010445568232328851_<121> (matsui / Msieve 1.42 snfs / 502.44 hours / Aug 9, 2009)

9·10¹⁹⁷+7 =

9(0)₁₉₆7_<198>

= 700849 · 1175267 · 242544833 · 2410098021328339_<16> · [1869195712625022073731132253769949703982655845596961100773778877211629077824700799990050608001076241719191682836135742724731028463699707680418614443004462229479567_<163>] SUBMIT/RESERVE

9·10¹⁹⁸+7 =

9(0)₁₉₇7_<199>

= 330787 · 3308150472229_<13> · 6266116393177_<13> · [1312533398188009920711798088775670146008446823514273093798712655062787096910136356963525988612621392849933099266698116732636069400664766788358692197934757327534094740017_<169>] SUBMIT/RESERVE

9·10¹⁹⁹+7 =

9(0)₁₉₈7_<200>

= 2861 · 31457532331352673890248164977280671094023068857042991960852848654316672492135616917161831527437958755679832226494232785739252009786787836420831876966095770709542118140510311080041943376441803565187_<197>

9·10²⁰⁰+7 =

9(0)₁₉₉7_<201>

= 16363 · 1185871 · 11041256557141927631_<20> · 1129520353150946514870638937980393951891_<40> · 3719029026601584878459985815308542356310526920113885973087730339593263375620616238307141131837874615521876099561714963205165591240279_<133> (JMB / GMP-ECM B1=3000000, sigma=750054211 for P40 / Nov 20, 2007)

4. References

• A096774 (On-Line Encyclopedia of Integer Sequences)