Factorizations of 600...007

Table of contents

1. About 600...007
   • First ten terms
   • General term
2. Prime numbers of the form 600...007
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 600...007
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 600...007

First ten terms

67, 607, 6007, 60007, 600007, 6000007, 60000007, 600000007, 6000000007, 60000000007

General term

6·10ⁿ+7

2. Prime numbers of the form 600...007

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

26.59%

Results

1. 6·10¹+7 = 67 is prime.
2. 6·10²+7 = 607 is prime.
3. 6·10³+7 = 6007 is prime.
4. 6·10⁸+7 = 600000007 is prime.
5. 6·10⁹+7 = 6000000007_<10> is prime.
6. 6·10¹⁹+7 = 6(0)₁₈7_<20> is prime.
7. 6·10⁵⁸+7 = 6(0)₅₇7_<59> is prime.
8. 6·10¹²¹+7 = 6(0)₁₂₀7_<122> is prime. (searched by Makoto Kamada / Dec 4, 2004) (certified by Makoto Kamada / PFGW / Jan 4, 2005)
9. 6·10¹⁸⁷+7 = 6(0)₁₈₆7_<188> is prime. (searched by Makoto Kamada / Dec 4, 2004) (certified by Makoto Kamada / PFGW / Jan 4, 2005)
10. 6·10⁸⁰⁶+7 = 6(0)₈₀₅7_<807> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
11. 6·10⁸⁵⁵+7 = 6(0)₈₅₄7_<856> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 4, 2005)
12. 6·10¹⁰¹⁹+7 = 6(0)₁₀₁₈7_<1020> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 4, 2005)
13. 6·10²⁵⁹³+7 = 6(0)₂₅₉₂7_<2594> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by suberi / PRIMO 3.0.4 / Sep 29, 2007)
14. 6·10²⁷⁴⁹+7 = 6(0)₂₇₄₈7_<2750> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by suberi / PRIMO 3.0.4 / Oct 16, 2007)
15. 6·10³⁰¹⁶+7 = 6(0)₃₀₁₅7_<3017> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
16. 6·10⁴²⁹⁵+7 = 6(0)₄₂₉₄7_<4296> is PRP. (Makoto Kamada / PFGW / Dec 19, 2004)
17. 6·10⁹⁶⁶⁴+7 = 6(0)₉₆₆₃7_<9665> is PRP. (Makoto Kamada / PFGW / Jan 6, 2005)

3. Factorizations of 600...007

Last update

Nov 4, 2009

Completed up to

• n≤100 / Jan 4, 2005
• n≤150 / Oct 18, 2007

Range

n≤200

Terms which have not been factored yet

n=174, 175, 177, 181, 184, 186, 189, 190, 191, 193, 196, 197, 199 (13/200)

Results

6·10¹+7 =

67

= definitely prime number

6·10²+7 =

607

= definitely prime number

6·10³+7 =

6007

= definitely prime number

6·10⁴+7 =

60007

= 23 · 2609

6·10⁵+7 =

600007

= 83 · 7229

6·10⁶+7 =

6000007

= 13³ · 2731

6·10⁷+7 =

60000007

= 43 · 127 · 10987

6·10⁸+7 =

600000007

= definitely prime number

6·10⁹+7 =

6000000007_<10>

= definitely prime number

6·10¹⁰+7 =

60000000007_<11>

= 66617 · 900671

6·10¹¹+7 =

600000000007_<12>

= 157 · 51869 · 73679

6·10¹²+7 =

6000000000007_<13>

= 13 · 17 · 31 · 2579 · 339583

6·10¹³+7 =

60000000000007_<14>

= 47 · 97 · 2441 · 5391553

6·10¹⁴+7 =

600000000000007_<15>

= 9733 · 223589 · 275711

6·10¹⁵+7 =

6000000000000007_<16>

= 587 · 10221465076661_<14>

6·10¹⁶+7 =

60000000000000007_<17>

= 59 · 3893753 · 261174541

6·10¹⁷+7 =

600000000000000007_<18>

= 19 · 31578947368421053_<17>

6·10¹⁸+7 =

6000000000000000007_<19>

= 13 · 2333 · 3435623 · 57582121

6·10¹⁹+7 =

60000000000000000007_<20>

= definitely prime number

6·10²⁰+7 =

600000000000000000007_<21>

= 32934247 · 18218118058081_<14>

6·10²¹+7 =

6000000000000000000007_<22>

= 109 · 55045871559633027523_<20>

6·10²²+7 =

60000000000000000000007_<23>

= 616991 · 97246151078378777_<17>

6·10²³+7 =

600000000000000000000007_<24>

= 139067 · 4314467127355878821_<19>

6·10²⁴+7 =

6000000000000000000000007_<25>

= 13 · 29 · 61 · 131 · 122869 · 16209381575029_<14>

6·10²⁵+7 =

60000000000000000000000007_<26>

= 76103 · 4544991179_<10> · 173466824611_<12>

6·10²⁶+7 =

600000000000000000000000007_<27>

= 23² · 1801 · 629769850608095271583_<21>

6·10²⁷+7 =

6000000000000000000000000007_<28>

= 31 · 547 · 761 · 1733 · 268298973282418927_<18>

6·10²⁸+7 =

60000000000000000000000000007_<29>

= 17 · 43 · 149 · 701 · 6269 · 125352014333343337_<18>

6·10²⁹+7 =

600000000000000000000000000007_<30>

= 197 · 1293307 · 2354959247253604332833_<22>

6·10³⁰+7 =

6000000000000000000000000000007_<31>

= 13 · 353 · 48809 · 26787567770146738858507_<23>

6·10³¹+7 =

60000000000000000000000000000007_<32>

= 71² · 2267 · 5250286862548452491072981_<25>

6·10³²+7 =

600000000000000000000000000000007_<33>

= 32479 · 490513041497_<12> · 37661537218645889_<17>

6·10³³+7 =

6000000000000000000000000000000007_<34>

= 3461 · 6371264351_<10> · 272097170891956164037_<21>

6·10³⁴+7 =

60000000000000000000000000000000007_<35>

= 67 · 89 · 739 · 609997 · 1333480003_<10> · 16738933968161_<14>

6·10³⁵+7 =

600000000000000000000000000000000007_<36>

= 19 · 121016711 · 557897477 · 467732886666893599_<18>

6·10³⁶+7 =

6000000000000000000000000000000000007_<37>

= 13 · 9828538733227_<13> · 46959011310415298018857_<23>

6·10³⁷+7 =

60000000000000000000000000000000000007_<38>

= 2286513966743_<13> · 26240819375123410553567249_<26>

6·10³⁸+7 =

600000000000000000000000000000000000007_<39>

= 1083940060991_<13> · 553536142442641784859710777_<27>

6·10³⁹+7 =

6000000000000000000000000000000000000007_<40>

= 21803 · 275191487409989450992982617071045269_<36>

6·10⁴⁰+7 =

60000000000000000000000000000000000000007_<41>

= 267090643 · 224642837824910249663819185159549_<33>

6·10⁴¹+7 =

600000000000000000000000000000000000000007_<42>

= 3577061 · 167735467748523159096252482135473787_<36>

6·10⁴²+7 =

6000000000000000000000000000000000000000007_<43>

= 13 · 31 · 53743900109_<11> · 277023763418491029871991637041_<30>

6·10⁴³+7 =

60000000000000000000000000000000000000000007_<44>

= 4999273 · 12001745053730812460131703149637957359_<38>

6·10⁴⁴+7 =

600000000000000000000000000000000000000000007_<45>

= 17 · 229 · 98878659946139283059_<20> · 1558706242266289452361_<22>

6·10⁴⁵+7 =

6000000000000000000000000000000000000000000007_<46>

= 240623 · 1592823481_<10> · 15654761802996888034571030103089_<32>

6·10⁴⁶+7 =

60000000000000000000000000000000000000000000007_<47>

= 83 · 40459649 · 13903108892221_<14> · 1285106507981942768539201_<25>

6·10⁴⁷+7 =

600000000000000000000000000000000000000000000007_<48>

= 291299 · 750423679 · 2744768539828925176253974934503667_<34>

6·10⁴⁸+7 =

6000000000000000000000000000000000000000000000007_<49>

= 13 · 23 · 16339 · 129967 · 8330981228849_<13> · 1134293227422906087268489_<25>

6·10⁴⁹+7 =

60000000000000000000000000000000000000000000000007_<50>

= 43 · 127 · 28661 · 74223740263_<11> · 5164697614627379771155769652809_<31>

6·10⁵⁰+7 =

600000000000000000000000000000000000000000000000007_<51>

= 68041 · 204329 · 242175943153_<12> · 178204863822727761721765452071_<30>

6·10⁵¹+7 =

6000000000000000000000000000000000000000000000000007_<52>

= 9623 · 1356557651_<10> · 459623800465360714632227548920685144459_<39>

6·10⁵²+7 =

60000000000000000000000000000000000000000000000000007_<53>

= 29 · 3739 · 557095242203_<12> · 15378961595791_<14> · 64586436809647495465189_<23>

6·10⁵³+7 =

600000000000000000000000000000000000000000000000000007_<54>

= 19 · 233 · 881 · 28807 · 1812719959518711163_<19> · 2946029359829255587544521_<25>

6·10⁵⁴+7 =

6000000000000000000000000000000000000000000000000000007_<55>

= 13 · 4388640945277212317_<19> · 105166603350210519597612385891603967_<36>

6·10⁵⁵+7 =

60000000000000000000000000000000000000000000000000000007_<56>

= 443291 · 135351270384465283527073637858652668337502904412677_<51>

6·10⁵⁶+7 =

600000000000000000000000000000000000000000000000000000007_<57>

= 227 · 367 · 174824891 · 2084526673883_<13> · 2368188812239_<13> · 8345114136392433269_<19>

6·10⁵⁷+7 =

6000000000000000000000000000000000000000000000000000000007_<58>

= 31 · 20611 · 5053891 · 19169002983219077_<17> · 96931536565961966012385392861_<29>

6·10⁵⁸+7 =

60000000000000000000000000000000000000000000000000000000007_<59>

= definitely prime number

6·10⁵⁹+7 =

600000000000000000000000000000000000000000000000000000000007_<60>

= 47 · 33028004917_<11> · 386519182096817617422963772305700117711218912293_<48>

6·10⁶⁰+7 =

6000000000000000000000000000000000000000000000000000000000007_<61>

= 13 · 17 · 8819 · 23073121 · 49161272827_<11> · 2714002053200343766099337742596564179_<37>

6·10⁶¹+7 =

60000000000000000000000000000000000000000000000000000000000007_<62>

= 8861 · 81535291 · 381801529 · 754989401345719577_<18> · 288100737505429161458329_<24>

6·10⁶²+7 =

600000000000000000000000000000000000000000000000000000000000007_<63>

= 353 · 25657 · 66247679537008217251756971270920879181788159574318910367_<56>

6·10⁶³+7 =

6000000000000000000000000000000000000000000000000000000000000007_<64>

= 431 · 743901487390679_<15> · 18713652177151914593889343662127041858671538943_<47>

6·10⁶⁴+7 =

60000000000000000000000000000000000000000000000000000000000000007_<65>

= 163 · 337903 · 10473677 · 31450857691482513701_<20> · 3307043658817000901713130682019_<31>

6·10⁶⁵+7 =

600000000000000000000000000000000000000000000000000000000000000007_<66>

= 617 · 1153 · 872838164347_<12> · 9734952510569516749_<19> · 99258844355536353257965988369_<29>

6·10⁶⁶+7 =

6000000000000000000000000000000000000000000000000000000000000000007_<67>

= 13 · 71 · 2713 · 2396071401330378711065337273007177431882685149428996217801293_<61>

6·10⁶⁷+7 =

60000000000000000000000000000000000000000000000000000000000000000007_<68>

= 67 · 70860556890146739591673559004791_<32> · 12637811885221369803175262599750331_<35>

6·10⁶⁸+7 =

600000000000000000000000000000000000000000000000000000000000000000007_<69>

= 67021 · 76667 · 232749564959_<12> · 196664889062801_<15> · 2551033536390412699360023131205239_<34>

6·10⁶⁹+7 =

6000000000000000000000000000000000000000000000000000000000000000000007_<70>

= 122693 · 172647815814128989362652642817_<30> · 283250298573918348624320510579619547_<36>

6·10⁷⁰+7 =

60000000000000000000000000000000000000000000000000000000000000000000007_<71>

= 23 · 43 · 1299173 · 46696891598140152154365335514516084038798775480175439007615031_<62>

6·10⁷¹+7 =

600000000000000000000000000000000000000000000000000000000000000000000007_<72>

= 19 · 619 · 35107 · 201577 · 48593214431537025469_<20> · 148353116864985518179221507099069971257_<39>

6·10⁷²+7 =

6000000000000000000000000000000000000000000000000000000000000000000000007_<73>

= 13 · 31 · 530696666431222807064662741_<27> · 28054326342583363652026301318927807490980809_<44>

6·10⁷³+7 =

60000000000000000000000000000000000000000000000000000000000000000000000007_<74>

= 1493 · 61464883 · 391949836591_<12> · 29975574563185939388106053_<26> · 55650155140249028183226811_<26>

6·10⁷⁴+7 =

600000000000000000000000000000000000000000000000000000000000000000000000007_<75>

= 59 · 557 · 47701 · 123433 · 1736639 · 36106877 · 49452220731256776467389766374268449438783991311_<47>

6·10⁷⁵+7 =

6000000000000000000000000000000000000000000000000000000000000000000000000007_<76>

= 8839 · 678809820115397669419617603801334992646226948749858581287475958818870913_<72>

6·10⁷⁶+7 =

60000000000000000000000000000000000000000000000000000000000000000000000000007_<77>

= 17 · 467 · 1764227 · 1766465505869_<13> · 2425078620192876496847562064201690662770065200014824651_<55>

6·10⁷⁷+7 =

600000000000000000000000000000000000000000000000000000000000000000000000000007_<78>

= 1373 · 224110457 · 9810155197_<10> · 27143383967831581_<17> · 30426793632236797_<17> · 240670319662076435538703_<24>

6·10⁷⁸+7 =

6000000000000000000000000000000000000000000000000000000000000000000000000000007_<79>

= 13 · 89 · 439 · 90583 · 130408731738032770813552657520713097773626749705905146079761133744523_<69>

6·10⁷⁹+7 =

60000000000000000000000000000000000000000000000000000000000000000000000000000007_<80>

= 125098182497512527503029_<24> · 479623275111875024289405200959197453009921778301829553483_<57>

6·10⁸⁰+7 =

600000000000000000000000000000000000000000000000000000000000000000000000000000007_<81>

= 29 · 2111 · 9870377741973879615140003_<25> · 992958837882683379516893991296803461210434204985551_<51>

6·10⁸¹+7 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000007_<82>

= 3373 · 630084236494460683919_<21> · 4774169927874534851454587_<25> · 591341586048224919172763165890903_<33>

6·10⁸²+7 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000007_<83>

= 821 · 2099 · 326592148199_<12> · 20234003509417661095198607_<26> · 5268756094296001343414019528487801774081_<40>

6·10⁸³+7 =

600000000000000000000000000000000000000000000000000000000000000000000000000000000007_<84>

= 44257550537_<11> · 16439582756404765583886502633_<29> · 824656498495778819328487299653463259463221367_<45>

6·10⁸⁴+7 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<85>

= 13² · 61 · 181 · 191 · 1286983 · 13081271466870965349121825716736306322297889012098897771447898368946311_<71>

6·10⁸⁵+7 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<86>

= 1002809 · 646263360161_<12> · 92581346539308453192519644932096365394857389980930736378852686091743_<68>

6·10⁸⁶+7 =

600000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<87>

= 7643 · 1209351174553_<13> · 2973770932078747623997_<22> · 21828678679235618972474638200260884422113067238289_<50>

6·10⁸⁷+7 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<88>

= 31² · 83 · 3323473 · 45591841696771091_<17> · 496444243731213032623888357592389796431090239865700079122623_<60>

6·10⁸⁸+7 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<89>

= 223 · 1543 · 174373490579472171444015937737038963756469983056709165361287341356451383217714021663_<84>

6·10⁸⁹+7 =

600000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<90>

= 19 · 157 · 199 · 24593 · 65322839 · 629170511364221670694393915388962319777274801612561613739015380586514673_<72>

6·10⁹⁰+7 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<91>

= 13 · 857 · 55031119813824061_<17> · 237259263206669730062293_<24> · 41247302194496926985670125516471012929924724699_<47>

6·10⁹¹+7 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<92>

= 43 · 127 · 948370613 · 2408835000055147304507_<22> · 4809433597732420760921554026534822027678205836594058990957_<58>

6·10⁹²+7 =

600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<93>

= 17 · 23 · 1740689 · 93044027 · 428121805541447492708792000594941_<33> · 22130817719931540658054315210254452237508799_<44> (Makoto Kamada / msieve 0.83 / 14 minutes)

6·10⁹³+7 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<94>

= 2503 · 9431197 · 2882011837_<10> · 109520272221985913_<18> · 340974271518853605551609693_<27> · 2361629141652282450174736296469_<31>

6·10⁹⁴+7 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<95>

= 353 · 152083 · 1034123 · 1080746099294760800501838781944914081181596051237101330373844565968086001971559991_<82>

6·10⁹⁵+7 =

600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<96>

= 3620164495193_<13> · 409250915825321_<15> · 404979729270243208306970640482426853068884295817370238518110866469319_<69>

6·10⁹⁶+7 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<97>

= 13 · 244239867677743627_<18> · 28756980835101615572027064493089709_<35> · 65712509692929665288626202307118445254839373_<44> (Makoto Kamada / GGNFS-0.70.8 / 0.29 hours)

6·10⁹⁷+7 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<98>

= 1307 · 17231 · 153887 · 9261429562719217979_<19> · 10727002677617171773876969_<26> · 174263659558134791537877956937023153550583_<42>

6·10⁹⁸+7 =

600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<99>

= 965393282677_<12> · 2467836249001_<13> · 251843437557084610803925643474306154861835726602684996470023236366508774291_<75>

6·10⁹⁹+7 =

6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<100>

= 575987 · 142305857 · 141730909753_<12> · 44085013092445747_<17> · 782255816805778261923871_<24> · 14976538375068085340907968227990393_<35>

6·10¹⁰⁰+7 =

60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<101>

= 67 · 47911 · 1131707956861_<13> · 16516074863655088332511280544105970849272263247792245807584958716323559409211646951_<83>

6·10¹⁰¹+7 =

6(0)₁₀₀7_<102>

= 71 · 8450704225352112676056338028169014084507042253521126760563380281690140845070422535211267605633802817_<100>

6·10¹⁰²+7 =

6(0)₁₀₁7_<103>

= 13 · 31 · 84229241 · 359188923630123761_<18> · 1155515355091075669_<19> · 88535722742346450703454489_<26> · 4810233109850207171319291017609_<31>

6·10¹⁰³+7 =

6(0)₁₀₂7_<104>

= 13898725301_<11> · 1274634293942717_<16> · 3386808803258319200041713659614439132045571646927340938604254222100640852860071_<79>

6·10¹⁰⁴+7 =

6(0)₁₀₃7_<105>

= 8629566092175419113_<19> · 312703414298744945585964596618843105759_<39> · 222346177668355476515021026054869613681073668721_<48> (Sinkiti Sibata / Msieve v. 1.26 for P39 x P48 / 5.54 hours on Pentiu3 750MHz, Windows Me / Oct 11, 2007)

6·10¹⁰⁵+7 =

6(0)₁₀₄7_<106>

= 47 · 105057221 · 154103230254811_<15> · 22932868516167111539_<20> · 343840761914218639605270698796545153481252440244853113296873909_<63>

6·10¹⁰⁶+7 =

6(0)₁₀₅7_<107>

= 660354883413107731466749453206421_<33> · 90860235166103760559298389079671871752970399872818769276787670766575373867_<74> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / Oct 11, 2007)

6·10¹⁰⁷+7 =

6(0)₁₀₆7_<108>

= 19 · 31578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421053_<107>

6·10¹⁰⁸+7 =

6(0)₁₀₇7_<109>

= 13 · 17² · 29² · 1033 · 40697 · 565461449598559_<15> · 585412295097782251565954143_<27> · 136454071993896072257680312646939448233341474865210603_<54>

6·10¹⁰⁹+7 =

6(0)₁₀₈7_<110>

= 97 · 113 · 421 · 126233 · 2307850135449284867849961733022761_<34> · 44631190303135651102220940770960015737268303350902756015757068619_<65> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3331727894 for P34 / Oct 3, 2007)

6·10¹¹⁰+7 =

6(0)₁₀₉7_<111>

= 907 · 519349 · 51668763745561_<14> · 24652251691447635748360840959588991742155253060036734783122047278188858370891012873928809_<89>

6·10¹¹¹+7 =

6(0)₁₁₀7_<112>

= 35051 · 631227249234675673259_<21> · 2147754284301416278826847601681_<31> · 126264279537185088818990156269263499590204974826899642383_<57> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3297505446 for P31 / Oct 3, 2007)

6·10¹¹²+7 =

6(0)₁₁₁7_<113>

= 43 · 42037675529382231904791550999_<29> · 14936485810428385363892834492251_<32> · 2222264100043128899370105966054617650050692155163401_<52> (Robert Backstrom / GMP-ECM 6.0.1 B1=87500, sigma=730686625 for P29 / Oct 11, 2007) (Robert Backstrom / Msieve v. 1.28 for P32 x P52 / Oct 11, 2007)

6·10¹¹³+7 =

6(0)₁₁₂7_<114>

= 1384215170113_<13> · 17932606117040429_<17> · 3164675015991183313_<19> · 580795039765962377462232524578013_<33> · 13150801402073216131757713374329839_<35> (Makoto Kamada / Msieve 1.28 for P33 x P35 / 1.1 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Oct 11, 2007)

6·10¹¹⁴+7 =

6(0)₁₁₃7_<115>

= 13 · 23 · 294199 · 314707 · 2354837 · 13963735493801662655038504422019_<32> · 6591283660858015718799436869882276779748116589270476529805242367_<64> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 1.60 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 12, 2007)

6·10¹¹⁵+7 =

6(0)₁₁₄7_<116>

= 167 · 49531 · 3261899 · 654526358807_<12> · 127057720792461074237899253_<27> · 932609489502919662147480293_<27> · 28672076170935576604150277447855760503_<38> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1751136893 for P38 / Oct 4, 2007)

6·10¹¹⁶+7 =

6(0)₁₁₅7_<117>

= 1433 · 4260569836341526184189932091009434032922764443_<46> · 98273714505283129560284285927238795172266087521311216860992588389453_<68> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.17 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 12, 2007)

6·10¹¹⁷+7 =

6(0)₁₁₆7_<118>

= 31 · 2602909783189_<13> · 761007481197519851161967935908199514911_<39> · 97710562768479463816800500502385687103003804418987111582005841643_<65> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.20 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 12, 2007)

6·10¹¹⁸+7 =

6(0)₁₁₇7_<119>

= 547 · 22157 · 1389121260658598425015693430507_<31> · 3563795770363790821874783279229655889340489088375678789667004423756560940534265219_<82> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=522870328 for P31 / Oct 4, 2007)

6·10¹¹⁹+7 =

6(0)₁₁₈7_<120>

= 5923 · 6104077523_<10> · 231169767641248649_<18> · 71789088746775663738962355886473233275104880922024917361381233516605740920802404266204967_<89>

6·10¹²⁰+7 =

6(0)₁₁₉7_<121>

= 13 · 51907 · 4081342551264929_<16> · 7645475170771717_<16> · 27745952197849913_<17> · 971436662429574307_<18> · 10572076958192710026894382283226404875642575209479_<50>

6·10¹²¹+7 =

6(0)₁₂₀7_<122>

= definitely prime number

6·10¹²²+7 =

6(0)₁₂₁7_<123>

= 89 · 11324894969_<11> · 595287907937494370994313973199783519642030692233233226118995513431437496183483777687957175981232128527877109527_<111>

6·10¹²³+7 =

6(0)₁₂₂7_<124>

= 29599 · 44276447 · 94785961 · 94030172640398981783628806147_<29> · 294564344205934739410460391310452991_<36> · 1743853595781557178934439081632632390427_<40> (Makoto Kamada / Msieve 1.28 for P36 x P40 / 5.1 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Oct 11, 2007)

6·10¹²⁴+7 =

6(0)₁₂₃7_<125>

= 17 · 32141 · 2395941097286059_<16> · 185276137155292873_<18> · 247370165559100534333875765754251184397696303382907109936597427062208383839050640961233_<87>

6·10¹²⁵+7 =

6(0)₁₂₄7_<126>

= 19 · 91943 · 343462225165820700124848518847775824495382436601166512204071515704524027186179995958594483882176428530949094891171131771_<120>

6·10¹²⁶+7 =

6(0)₁₂₅7_<127>

= 13 · 353 · 450067 · 1476927445809203_<16> · 1966966036403924233198026061443130413186668760102207906907152871089101717620777160156115645881441992363_<103>

6·10¹²⁷+7 =

6(0)₁₂₆7_<128>

= 197 · 9720031 · 266168660299_<12> · 3583617409332378966987419272264607655669797_<43> · 32850260496263134596383389203484134247046587543608521946389524867_<65> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 5.28 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 12, 2007)

6·10¹²⁸+7 =

6(0)₁₂₇7_<129>

= 83 · 8699 · 7671569 · 874729021702702382808042889_<27> · 123835766281642160716390684992072551487581674041827416419198288771251077509467115913506431_<90>

6·10¹²⁹+7 =

6(0)₁₂₈7_<130>

= 109 · 1707274519_<10> · 8462035003399_<13> · 3810189504834212133480300072234693542750393708193406245365027111585522371594430393229161295758752560006883_<106>

6·10¹³⁰+7 =

6(0)₁₂₉7_<131>

= 1294065035287_<13> · 46365521333085933642743339436980199052813974586557304899021596309478218657827928443490774431377900368194819972342492561_<119>

6·10¹³¹+7 =

6(0)₁₃₀7_<132>

= 269 · 47659 · 261757 · 178795152596685422443546662136171916524628935206625955055502605816827185441824975919675667565824611566077893146372404381_<120>

6·10¹³²+7 =

6(0)₁₃₁7_<133>

= 13 · 31 · 59 · 2090009 · 148913261947_<12> · 1983329501828473727548585254782922572449329984672734213_<55> · 408806495210391060163003461145989705978462625906890077609_<57> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 7.78 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 13, 2007)

6·10¹³³+7 =

6(0)₁₃₂7_<134>

= 43 · 67 · 127 · 5332753 · 69625163173_<11> · 37846168211569_<14> · 12102745821141977_<17> · 964230242425944265707191283071326618862810503137224231251303744715178672334288013_<81>

6·10¹³⁴+7 =

6(0)₁₃₃7_<135>

= 193 · 863 · 23603 · 100586824269101_<15> · 16080745011300179212403283434151191_<35> · 94355816472667095064977591820097467102390568492729306979142286831385089101801_<77> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 5.83 hours on Core 2 Duo E6300 1.83GHz, Windows Vista / Oct 13, 2007)

6·10¹³⁵+7 =

6(0)₁₃₄7_<136>

= 2699 · 3418033 · 149900794357_<12> · 4338785500770170432459336295952156124948843133536921522475434120937235870774872078708901658644375397702018392316753_<115>

6·10¹³⁶+7 =

6(0)₁₃₅7_<137>

= 23 · 29 · 71 · 14479 · 151767013842881_<15> · 1158168948961393657_<19> · 5164693661409462950941_<22> · 85644837827449824843115921_<26> · 1125468735569574499089562164457759100973418686937_<49>

6·10¹³⁷+7 =

6(0)₁₃₆7_<138>

= 1907 · 2442939067_<10> · 2648952475918503289210280331721_<31> · 48619865802990135250155684578826868952543880444606150618159122460305331077521458652851641803343_<95> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1042357332 for P31 / Oct 4, 2007)

6·10¹³⁸+7 =

6(0)₁₃₇7_<139>

= 13 · 8786475728072227386487041599685529123701731718444931_<52> · 52528280487235138475680678891847720293425922478509734700005290994634833797311729822369_<86> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 6.79 hours on Cygwin on AMD 64 3200+ / Oct 12, 2007)

6·10¹³⁹+7 =

6(0)₁₃₈7_<140>

= 383 · 45821 · 46040069 · 326628229 · 69754537981_<11> · 2361569787997263997_<19> · 1380145840089929495385570317802057204845682330870991559375128906205892605463222976990157_<88>

6·10¹⁴⁰+7 =

6(0)₁₃₉7_<141>

= 17 · 25765322537_<11> · 29151135776457323_<17> · 6123908191785128062611453979386707666992816396823857_<52> · 7673307351852464227438937019759901799643665911557369118867853_<61> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 6.19 hours on Core 2 Quad Q6600 / Oct 13, 2007)

6·10¹⁴¹+7 =

6(0)₁₄₀7_<142>

= 929 · 354874528087_<12> · 12214942821740613244063_<23> · 1489941682121143839564261158856376527008667789411446331017207080072538446659183701214346429661417181098543_<106>

6·10¹⁴²+7 =

6(0)₁₄₁7_<143>

= 33644756517101_<14> · 8641435049825201314391470051_<28> · 21643763371002936526145083831_<29> · 9534879599089550269036402904750689858513859097873661158547832822238665447_<73>

6·10¹⁴³+7 =

6(0)₁₄₂7_<144>

= 19 · 43592813251279719249310489_<26> · 724407190386915779189861829436160781145141087919370177233761215936470204843140459625954837001793266584748284154980677_<117>

6·10¹⁴⁴+7 =

6(0)₁₄₃7_<145>

= 13 · 61 · 6217 · 17996214744046724344420417956846958165765495333_<47> · 67626362611447967176376164281940047499923797596474846813424537050089499416597128887441863259_<92> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 7.95 hours on Cygwin on AMD 64 3400+ / Oct 13, 2007)

6·10¹⁴⁵+7 =

6(0)₁₄₄7_<146>

= 163 · 3919572055477532086753025839329335485817252963822084748594102007_<64> · 93912844131744392068992466757974562467028071947951869170587151041083038337579227_<80> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / Oct 12, 2007)

6·10¹⁴⁶+7 =

6(0)₁₄₅7_<147>

= 4357 · 11418173072097254220419104341228272288444055633023768296587371_<62> · 12060548760877474653322042621937488929340653264886088872424357570501388208759630481_<83> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 14.29 hours on Cygwin on AMD XP 2700+ / Oct 14, 2007)

6·10¹⁴⁷+7 =

6(0)₁₄₆7_<148>

= 31 · 74460874157397706814885857_<26> · 3757810852757300286714196049398151_<34> · 691713910870677076891814665811219671401933953308716939722566516154829814248796350852671_<87> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 13.31 hours on Core 2 Quad Q6600 / Oct 18, 2007)

6·10¹⁴⁸+7 =

6(0)₁₄₇7_<149>

= 4549 · 787609 · 12956873023_<11> · 9540749344069170990484839035782631826167_<40> · 135469633078895411887709169907086398273346654936908113597527218378494142638547322866052347_<90> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.28 / Oct 14, 2007)

6·10¹⁴⁹+7 =

6(0)₁₄₈7_<150>

= 25747 · 436150417 · 2488433141_<10> · 314768938357_<12> · 288204824127944521231161772400113432086544229_<45> · 236684181525452140035337569045008331845614114346156387833169766487401841_<72> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 11.33 hours on Core 2 Quad Q6600 / Oct 18, 2007)

6·10¹⁵⁰+7 =

6(0)₁₄₉7_<151>

= 13 · 1021 · 51377866217_<11> · 38690659722181_<14> · 13553397374370467_<17> · 75896163172818350563639937211446513525782697_<44> · 221071096062905112755419151133504653865878416206951105384644033_<63> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 gnfs for P44 x P63 / 19.13 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Oct 14, 2007)

6·10¹⁵¹+7 =

6(0)₁₅₀7_<152>

= 47 · 5011 · 52900231 · 1576110637_<10> · 556773584791355717_<18> · 67642040010577081460933_<23> · 81131480570091755909002159185243049529697458062736962772191782449522056682821188277358513_<89>

6·10¹⁵²+7 =

6(0)₁₅₁7_<153>

= 1840685266806508095129806305318544351784701_<43> · 325965557947322722135583311765356705447166321685192963549916970963466614546316438202055770474848508291355137107_<111> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 20.05 hours on Core 2 Quad Q6600 / Oct 12, 2007)

6·10¹⁵³+7 =

6(0)₁₅₂7_<154>

= 617 · 116959 · 136501 · 1281706931_<10> · 48960944861_<11> · 9706397746413154942816285850965437463266938427148677567450081254538625255697920228419644778528906240803146393245767461259_<121>

6·10¹⁵⁴+7 =

6(0)₁₅₃7_<155>

= 43 · 131 · 563 · 3697 · 26171 · 101833 · 176066677 · 33378076676768419_<17> · 326743022684683871721997154450382375174342428549972196611943834276754091537372975979834494605779073733793368321_<111>

6·10¹⁵⁵+7 =

6(0)₁₅₄7_<156>

= 30253 · 8290186057_<10> · 93174093649657_<14> · 47369174977499761_<17> · 7846580404504329797862521_<25> · 11519704348754539604022205034624081555611_<41> · 5996609457515185443760101854342559834794121041_<46> (Sinkiti Sibata / Msieve v. 1.28 for P41 x P46 / 5.66 hours on Cerelon 750MHz, Windows 2000 / Oct 11, 2007)

6·10¹⁵⁶+7 =

6(0)₁₅₅7_<157>

= 13 · 17 · 599 · 1313827 · 8377112000507_<13> · 4118126183757539249516328423677924947386661909125264987502390387259118978508173688739888706726161162250130031760472174392482315204597_<133>

6·10¹⁵⁷+7 =

6(0)₁₅₆7_<158>

= 29575545858739133328361799_<26> · 909973554507637615273149646490856241896005712528152743_<54> · 2229408796486527839879415799102804165173602971152320543487096830961582839982551_<79> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 31.18 hours on Core 2 Quad Q6600 / Oct 20, 2007)

6·10¹⁵⁸+7 =

6(0)₁₅₇7_<159>

= 23 · 353 · 29401 · 13037886666029_<14> · 192787736939975697014415352352241238041823265936318055683277403820606339025083974887377475530853350359199599690541467302596538828107190557_<138>

6·10¹⁵⁹+7 =

6(0)₁₅₈7_<160>

= 3256824485114773_<16> · 461870997793807749890033_<24> · 3988744362838528649608020617147188217861829995936160905676737892791518622532653948351500885921779036841237718725002869723_<121>

6·10¹⁶⁰+7 =

6(0)₁₅₉7_<161>

= 4229 · 482513 · 19099104039013_<14> · 2891475901086594031773677024975431_<34> · 532441594081401683367165802963920698884830621397625778059323292338660459693626121501287829706854904467897_<105> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=3219074435 for P34 / Oct 13, 2007)

6·10¹⁶¹+7 =

6(0)₁₆₀7_<162>

= 19 · 9857893 · 3203417542513501884386343751998632226133814535055417281520396637336300224761918938298584964513101062105365987597851525515751959529175998199722053341312121_<154>

6·10¹⁶²+7 =

6(0)₁₆₁7_<163>

= 13² · 31 · 20563 · 655103 · 14044633 · 2253685369002830003_<19> · 97922689079135641938337_<23> · 233850288407644268921831_<24> · 753662499492278242063877_<24> · 155634172304773061490196805203509441649383335703359557_<54>

6·10¹⁶³+7 =

6(0)₁₆₂7_<164>

= 4862730147235601142936793501_<28> · 12338747613644409159893433799684073847193066197154781962901756043716970052209745162253613944562232213904638320310642873228544740813195507_<137>

6·10¹⁶⁴+7 =

6(0)₁₆₃7_<165>

= 29 · 127031 · 1770843922137685855971883220866292296403759900031873711559753_<61> · 91973613665363851062774584215016713526677170996970636469854370682108828520625054063548519257625981_<98> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.28 / Oct 16, 2007)

6·10¹⁶⁵+7 =

6(0)₁₆₄7_<166>

= 179 · 359 · 26187244226761893400549_<23> · 3565446894909933020524216172376347819304738872207309491635929705904188865649502859437853420976844857453693253629308940681374317488695323263_<139>

6·10¹⁶⁶+7 =

6(0)₁₆₅7_<167>

= 67 · 89 · 10062049304041589803790038571188998826094247861814522891162166694616803622337749454972329364413885628039577393929230253228240818380010062049304041589803790038571189_<164>

6·10¹⁶⁷+7 =

6(0)₁₆₆7_<168>

= 157 · 30141491732912660764138607233343720887304110987_<47> · 126790541251891655395868197515952259522258968043055404184000880238481113593670765322134091338218303304135490412872342073_<120> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.28 / Nov 2, 2007)

6·10¹⁶⁸+7 =

6(0)₁₆₇7_<169>

= 13 · 162683 · 1905773 · 92496541056236438247583376263031_<32> · 1737404675144043985388097795414143_<34> · 9263350086582064127298447027451667014374897979566099083674205980098110320670551785060577237_<91> (Robert Backstrom / GMP-ECM 6.2.1 B1=226000, sigma=3867865071 for P34, GMP-ECM 6.2.1 B1=226000, sigma=3867865071 for P32 / Jul 1, 2008)

6·10¹⁶⁹+7 =

6(0)₁₆₈7_<170>

= 83 · 227 · 3011 · 1057636780066423467789698303996574949051432894241909841012337491684991839715286999170865646266927322426266014581885068691129182559054780138378023393550647255200757_<163>

6·10¹⁷⁰+7 =

6(0)₁₆₉7_<171>

= 7949 · 460073 · 2163987266008573_<16> · 54259207804217377507164325108667689661711419580711023_<53> · 1397281332661513419734474128891275205904136412680671506450765242423612261405435404496170098729_<94> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 35.86 hours on Core 2 Quad Q6700 / Sep 8, 2009)

6·10¹⁷¹+7 =

6(0)₁₇₀7_<172>

= 71 · 59218811 · 474552042132264250970127542339833_<33> · 3007110393444661684023615721112945500024818563987365700417287479523557838981587406237779335223878760263992906197715985864050125259_<130> (matsui / GGNFS-0.77.1-20060513-prescott snfs / 263.39 hours / Jun 5, 2008)

6·10¹⁷²+7 =

6(0)₁₇₁7_<173>

= 17 · 16567 · 2986223 · 2612696322781_<13> · 27305321012217023351802495384824876436124320021010604434689741263485710169980818357736740790261167875826658097208285298134668472026043677560241813051_<149>

6·10¹⁷³+7 =

6(0)₁₇₂7_<174>

= 503 · 12641 · 55614277 · 1319027733109_<13> · 284463259801367_<15> · 160651840224481703_<18> · 28148141420097158589187358878229266603272406253384954285917287167661149735864217715878968895576824795445501232554313_<116>

6·10¹⁷⁴+7 =

6(0)₁₇₃7_<175>

= 13 · 2938517 · 48705822565039097_<17> · [3224770470030546297909716069120827676075050015166034098049800420877754256506682633896479368391905281708343099533519216343243582361144548884115388244111_<151>] SUBMIT/RESERVE

6·10¹⁷⁵+7 =

6(0)₁₇₄7_<176>

= 43 · 127 · 5857 · 369029 · [5083272053117569785401622287981922170406245404821216909665510927159012162419030331506177112794892513671810936655626092204265268908201407923043432104539821328955279_<163>] SUBMIT/RESERVE

6·10¹⁷⁶+7 =

6(0)₁₇₅7_<177>

= 149 · 230266112072425854835615673997286041414191311_<45> · 17487790979496472353574388242068301111731661211926813193993672549877478287762758543465832179237070194085811306528123110099573405413_<131> (matsui / GGNFS-0.77.1-20060513-prescott snfs / 252.84 hours / Jun 24, 2008)

6·10¹⁷⁷+7 =

6(0)₁₇₆7_<178>

= 31 · 10163 · 37889 · 1055726003533_<13> · [476105577349555968653423484670079881893650270717546455361263798093356878442400318859426135313699514091147191651598059226007736043516071044114741137154988687_<156>] SUBMIT/RESERVE

6·10¹⁷⁸+7 =

6(0)₁₇₇7_<179>

= 65436008381_<11> · 270079319397521079231699103763149_<33> · 3395026124561532305221449613632037781211754859929786635535396542181035536197808417011117419669125188507000441962994625579397684755006303_<136> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3025977912 for P33 / Oct 8, 2007)

6·10¹⁷⁹+7 =

6(0)₁₇₈7_<180>

= 19 · 191 · 165334802976026453568476164232570956186277211352989804353816478368696610636538991457701846238633232295398181317167263709010746762193441719481950950675117112152108018737944337283_<177>

6·10¹⁸⁰+7 =

6(0)₁₇₉7_<181>

= 13 · 23 · 113398657 · 176958794424761339205024601465906072706931334230674254182415421427963356652734494231367936195736374372873837190972875354500561164547302062753989291278920271846413436624149_<171>

6·10¹⁸¹+7 =

6(0)₁₈₀7_<182>

= 91807 · 500873 · [1304811672141647128067469671501327371072192542320743086647744201824677213349127005489497172655029836439022628624028815572659455270501236162800839194176381263884292912981137_<172>] SUBMIT/RESERVE

6·10¹⁸²+7 =

6(0)₁₈₁7_<183>

= 152063 · 165283412363_<12> · 70366264293028415911_<20> · 866000074200019132192754269_<27> · 391756310745498438738510736116586428197746803401800983167145001545777900416713425537774863848865123883901866151264336417_<120>

6·10¹⁸³+7 =

6(0)₁₈₂7_<184>

= 4646109535270935651861373920553944113_<37> · 1291403044730436574664225203953221354301912479271324672689780038042977651172600578097674193944368819808698887156719580132180993397271065994090189239_<148> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=3000000, sigma=1341276002 for P37 / Oct 13, 2007)

6·10¹⁸⁴+7 =

6(0)₁₈₃7_<185>

= 265726569991362252967_<21> · 222834435050292754160574629069_<30> · [1013290485164645651392025913613441082446089945258580578758315397137018066014731982099954953443605981588073923668339279975098926413033509_<136>] (Makoto Kamada / GMP-ECM 6.1.3 B1=50000, sigma=1469781093 for P30 / Sep 29, 2007) SUBMIT/RESERVE

6·10¹⁸⁵+7 =

6(0)₁₈₄7_<186>

= 9109 · 486119 · 10533650783_<11> · 7198232528923_<13> · 6020878659975871147_<19> · 57715737637649789572192595701_<29> · 15856940822896359383771402356889784989979289_<44> · 324309472250677628769264887001027044666888119049640084725461111_<63> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs, Msieve 1.28 for P44 x P63 / Oct 16, 2007)

6·10¹⁸⁶+7 =

6(0)₁₈₅7_<187>

= 13 · 2543 · 100699 · 78249506389201880801134777_<26> · [23033226245201501832390277337317725500731171024204881615168109882192616835620606840074909688773652350706322538085839215885639656006505103747675537480751_<152>] SUBMIT/RESERVE

6·10¹⁸⁷+7 =

6(0)₁₈₆7_<188>

= definitely prime number

6·10¹⁸⁸+7 =

6(0)₁₈₇7_<189>

= 17 · 199 · 257 · 3463 · 16649 · 96059 · 61883693 · 90624285000529213_<17> · 454041790607190733_<18> · 517371257791985827755390629_<27> · 3525119596170058088736272803183372325772469391249_<49> · 26831479803562967544394299568098567920660248574603957_<53> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P49 x P53 / 6.98 hours on Cygwin on AMD 64 3200+ / Oct 15, 2007)

6·10¹⁸⁹+7 =

6(0)₁₈₈7_<190>

= 6209183697097282695749827_<25> · 84650755361806968467920668269_<29> · [11415262534024941376215177642404391202003957780146884337777704466878931859742980790987063731573828128798768767273676353885360988327570689_<137>] (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=1415196895 for P29 / Jul 12, 2008) SUBMIT/RESERVE

6·10¹⁹⁰+7 =

6(0)₁₈₉7_<191>

= 59 · 353 · 1103 · 7573 · 127271 · [2709889658548731451122480095270283496819932187842515682329446966153110852882478250621068541614237571412505031571000596107867873686142132098328942906989237732888406053155956009_<175>] SUBMIT/RESERVE

6·10¹⁹¹+7 =

6(0)₁₉₀7_<192>

= 1586857 · 8577215265242096701_<19> · [44082594640568368454294015955624041418396330514721274542463248405699515720176035007651007899202436324127702258978496687305094052765765497688323437692609397280932236251_<167>] SUBMIT/RESERVE

6·10¹⁹²+7 =

6(0)₁₉₁7_<193>

= 13 · 29 · 31 · 3208007417_<10> · 15475455343_<11> · 310826606681_<12> · 40049826089950582237612221318425371_<35> · 10102569630990212054844298716593986140238949067257353_<53> · 82227811572357690683721133099265358362960911903422547606796172190078277_<71> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=407467275 for P35 / Oct 9, 2007) (Tyler Cadigan / GGNFS gnfs, Msieve / 74.14 hours on C2Q Q6600 2.4 Ghz, 4 gb RAM, Vista / May 28, 2008)

6·10¹⁹³+7 =

6(0)₁₉₂7_<194>

= 9431867921209970677263227064224760463_<37> · [6361412235753920282712594389572541485300199982510262458997768914548898435588007324833733189857362507423842664895526461468007039663923961796686299905053607689_<157>] (Jo Yeong Uk / GMP-ECM 6.1.3 B1=3000000, sigma=177507791 for P37 / Oct 13, 2007) SUBMIT/RESERVE

6·10¹⁹⁴+7 =

6(0)₁₉₃7_<195>

= 4880807929_<10> · 126110244771031557278809682152871_<33> · 974785733093042308010396782144898734663233985206820852016727149290684723767326775717208198754930119035872196205293376228506927605092858346962533362269673_<153> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1132209484 for P33 / Oct 23, 2008)

6·10¹⁹⁵+7 =

6(0)₁₉₄7_<196>

= 1800916057_<10> · 3331637794376109557892625308520973445904480599564113942485660229748287485006304211101828162554941337834937189412821144056244038474914880499618978076555624824438999379747326002102495552351_<187>

6·10¹⁹⁶+7 =

6(0)₁₉₅7_<197>

= 43 · 263 · 755230781 · 730736822099071379653153_<24> · [9613607166989736134299362490031666760532613019805236282573225766833897002722570685520499776745706723160946243107556688566855696310017420714882290020460831410911_<160>] SUBMIT/RESERVE

6·10¹⁹⁷+7 =

6(0)₁₉₆7_<198>

= 19 · 47 · 26693 · 28697 · 45083 · [19455979469469794253772848516128838861610097206592201868555527257136441631155698516622220345713779394865237964580168303704305679589414854258492007128363638789307445084309063710662493_<182>] SUBMIT/RESERVE

6·10¹⁹⁸+7 =

6(0)₁₉₇7_<199>

= 13 · 5936837 · 1592801512885567_<16> · 31002981535411234004171_<23> · 335224324447072705491257699413_<30> · 5578023513293801818533172337270300793467390504065490987063639_<61> · 841921861803218150630322445765550878314463032851719559505591353_<63> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3102473160 for P30 / Oct 10, 2007) (Erik Branger / GGNFS, Msieve gnfs for P61 x P63 / 105.45 hours / Oct 3, 2009)

6·10¹⁹⁹+7 =

6(0)₁₉₈7_<200>

= 67 · 4027 · 21414629 · 822758849778409381339_<21> · [12621521194104600741672319701369468179803954538245274390523021268457371223901198823700830829932612854216290231478862756042220252177081936177877550566997746016108130033_<167>] SUBMIT/RESERVE

6·10²⁰⁰+7 =

6(0)₁₉₉7_<201>

= 25080527931514001037989_<23> · 23922941400531381951968563140550725020695739263155141138555507842257974585574379366739574350458731349789471528006653290171558403658459934378875564774015248128689303475832017890363_<179>

4. References

• A103026 (On-Line Encyclopedia of Integer Sequences)