Factorizations of 699...991

Table of contents

1. About 699...991
   • First ten terms
   • General term
2. Prime numbers of the form 699...991
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 699...991
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 699...991

First ten terms

61, 691, 6991, 69991, 699991, 6999991, 69999991, 699999991, 6999999991, 69999999991

General term

7·10ⁿ-9

2. Prime numbers of the form 699...991

Last update

Aug 9, 2009

Searched up to

n≤20000

Difficulty of search

31.06%

Results

1. 7·10¹-9 = 61 is prime.
2. 7·10²-9 = 691 is prime.
3. 7·10³-9 = 6991 is prime.
4. 7·10⁴-9 = 69991 is prime.
5. 7·10¹⁴-9 = 6(9)₁₃1_<15> is prime.
6. 7·10¹⁵-9 = 6(9)₁₄1_<16> is prime.
7. 7·10²³-9 = 6(9)₂₂1_<24> is prime.
8. 7·10²⁸-9 = 6(9)₂₇1_<29> is prime.
9. 7·10⁵⁴-9 = 6(9)₅₃1_<55> is prime.
10. 7·10¹⁰⁰-9 = 6(9)₉₉1_<101> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
11. 7·10²⁷²-9 = 6(9)₂₇₁1_<273> is prime. (Makoto Kamada / PPSIQS / Jan 5, 2004)
12. 7·10³⁷³-9 = 6(9)₃₇₂1_<374> is prime. (Makoto Kamada / PPSIQS / Jan 5, 2004)
13. 7·10⁴⁰³-9 = 6(9)₄₀₂1_<404> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PPSIQS / Jan 24, 2005)
14. 7·10⁵⁶⁸-9 = 6(9)₅₆₇1_<569> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
15. 7·10⁶³⁹-9 = 6(9)₆₃₈1_<640> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
16. 7·10⁸⁴²-9 = 6(9)₈₄₁1_<843> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
17. 7·10⁹⁶⁹-9 = 6(9)₉₆₈1_<970> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
18. 7·10¹²⁵⁵-9 = 6(9)₁₂₅₄1_<1256> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 9, 2006)
19. 7·10¹²⁵⁹-9 = 6(9)₁₂₅₈1_<1260> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 9, 2006)
20. 7·10³⁰⁴⁷-9 = 6(9)₃₀₄₆1_<3048> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
21. 7·10⁴⁸³⁸-9 = 6(9)₄₈₃₇1_<4839> is PRP. (Makoto Kamada / PFGW / Dec 19, 2004)
22. 7·10⁶³⁸⁹-9 = 6(9)₆₃₈₈1_<6390> is PRP. (Makoto Kamada / PFGW / Dec 24, 2004)
23. 7·10¹²⁷⁵⁵-9 = 6(9)₁₂₇₅₄1_<12756> is PRP. (Sinkiti Sibata / PFGW / Dec 28, 2007)
24. 7·10¹⁵¹⁴²-9 = 6(9)₁₅₁₄₁1_<15143> is PRP. (Sinkiti Sibata / PFGW / Dec 28, 2007)

3. Factorizations of 699...991

Last update

Nov 4, 2009

Completed up to

• n≤100 / Jan 6, 2005
• n≤150 / Dec 29, 2007

Range

n≤200

Terms which have not been factored yet

n=177, 179, 183, 185, 188, 189, 192, 193, 195 (9/200)

Results

7·10¹-9 =

61

= definitely prime number

7·10²-9 =

691

= definitely prime number

7·10³-9 =

6991

= definitely prime number

7·10⁴-9 =

69991

= definitely prime number

7·10⁵-9 =

699991

= 449 · 1559

7·10⁶-9 =

6999991

= 29 · 281 · 859

7·10⁷-9 =

69999991

= 307 · 228013

7·10⁸-9 =

699999991

= 53² · 249199

7·10⁹-9 =

6999999991_<10>

= 11149 · 627859

7·10¹⁰-9 =

69999999991_<11>

= 401 · 174563591

7·10¹¹-9 =

699999999991_<12>

= 31 · 349 · 5209 · 12421

7·10¹²-9 =

6999999999991_<13>

= 719 · 1223 · 7960543

7·10¹³-9 =

69999999999991_<14>

= 17 · 33479 · 122991937

7·10¹⁴-9 =

699999999999991_<15>

= definitely prime number

7·10¹⁵-9 =

6999999999999991_<16>

= definitely prime number

7·10¹⁶-9 =

69999999999999991_<17>

= 19 · 3917 · 940569447617_<12>

7·10¹⁷-9 =

699999999999999991_<18>

= 3539507 · 197767655213_<12>

7·10¹⁸-9 =

6999999999999999991_<19>

= 283 · 24734982332155477_<17>

7·10¹⁹-9 =

69999999999999999991_<20>

= 23 · 152391511 · 19971442247_<11>

7·10²⁰-9 =

699999999999999999991_<21>

= 59 · 40351 · 294030055752299_<15>

7·10²¹-9 =

6999999999999999999991_<22>

= 53 · 117287257 · 1126085433971_<13>

7·10²²-9 =

69999999999999999999991_<23>

= 197 · 706550737 · 502907902619_<12>

7·10²³-9 =

699999999999999999999991_<24>

= definitely prime number

7·10²⁴-9 =

6999999999999999999999991_<25>

= 439 · 8677 · 213397 · 8611436681401_<13>

7·10²⁵-9 =

69999999999999999999999991_<26>

= 1153 · 60711188204683434518647_<23>

7·10²⁶-9 =

699999999999999999999999991_<27>

= 31 · 167 · 1549 · 115512181 · 755684776607_<12>

7·10²⁷-9 =

6999999999999999999999999991_<28>

= 1367 · 5120702267739575713240673_<25>

7·10²⁸-9 =

69999999999999999999999999991_<29>

= definitely prime number

7·10²⁹-9 =

699999999999999999999999999991_<30>

= 17 · 467 · 88172313893437460637359869_<26>

7·10³⁰-9 =

6999999999999999999999999999991_<31>

= 601079 · 4712747339_<10> · 2471111420941411_<16>

7·10³¹-9 =

69999999999999999999999999999991_<32>

= 22443647 · 3118922695585080267926153_<25>

7·10³²-9 =

699999999999999999999999999999991_<33>

= 859 · 16091 · 4075938721873_<13> · 12424936995743_<14>

7·10³³-9 =

6999999999999999999999999999999991_<34>

= 1103 · 3049 · 11579 · 2252017 · 79821959478521971_<17>

7·10³⁴-9 =

69999999999999999999999999999999991_<35>

= 19 · 29 · 53 · 281 · 6211962037_<10> · 1373205261208914401_<19>

7·10³⁵-9 =

699999999999999999999999999999999991_<36>

= 11968507 · 65115374179_<11> · 898203041519418247_<18>

7·10³⁶-9 =

6999999999999999999999999999999999991_<37>

= 617 · 4937 · 263723 · 871664581 · 9996600626416433_<16>

7·10³⁷-9 =

69999999999999999999999999999999999991_<38>

= 449 · 42487 · 177400101813811_<15> · 20684344746284987_<17>

7·10³⁸-9 =

699999999999999999999999999999999999991_<39>

= 3880999 · 180365931555251624646128483929009_<33>

7·10³⁹-9 =

6999999999999999999999999999999999999991_<40>

= 229 · 8087 · 22481 · 4782292477_<10> · 35157934736975360641_<20>

7·10⁴⁰-9 =

69999999999999999999999999999999999999991_<41>

= 83 · 199 · 14081 · 992513 · 303247457866816806060790091_<27>

7·10⁴¹-9 =

699999999999999999999999999999999999999991_<42>

= 23 · 31 · 13893431 · 41355185348647_<14> · 1708712631800209951_<19>

7·10⁴²-9 =

6999999999999999999999999999999999999999991_<43>

= 164934551 · 970496719 · 43731293776396301260490639_<26>

7·10⁴³-9 =

69999999999999999999999999999999999999999991_<44>

= 11106808382555104469_<20> · 6302440592199773403965339_<25>

7·10⁴⁴-9 =

699999999999999999999999999999999999999999991_<45>

= 47² · 149 · 39667 · 3344261 · 16031956850800023853001797573_<29>

7·10⁴⁵-9 =

6999999999999999999999999999999999999999999991_<46>

= 17 · 3919640159869712290637_<22> · 105051660123831336940579_<24>

7·10⁴⁶-9 =

69999999999999999999999999999999999999999999991_<47>

= 99577 · 2536921 · 1925346921733_<13> · 143920634053120072981531_<24>

7·10⁴⁷-9 =

699999999999999999999999999999999999999999999991_<48>

= 53 · 97 · 136160280101147636646566815794592491733125851_<45>

7·10⁴⁸-9 =

6999999999999999999999999999999999999999999999991_<49>

= 4007 · 22821090585503549107_<20> · 76549490194924079952133259_<26>

7·10⁴⁹-9 =

69999999999999999999999999999999999999999999999991_<50>

= 653 · 1423603 · 9701213 · 7761933616444179059114953688709973_<34>

7·10⁵⁰-9 =

699999999999999999999999999999999999999999999999991_<51>

= 274009913 · 2611748383_<10> · 978138674401529624850073127375729_<33>

7·10⁵¹-9 =

6999999999999999999999999999999999999999999999999991_<52>

= 271349425373391653599_<21> · 25796995849051889688124365522409_<32>

7·10⁵²-9 =

69999999999999999999999999999999999999999999999999991_<53>

= 19 · 1823 · 63693557 · 79931966784969871711_<20> · 396955449301910954809_<21>

7·10⁵³-9 =

699999999999999999999999999999999999999999999999999991_<54>

= 8501 · 8879069 · 58412089 · 1811930375309_<13> · 87622643039546762581739_<23>

7·10⁵⁴-9 =

6999999999999999999999999999999999999999999999999999991_<55>

= definitely prime number

7·10⁵⁵-9 =

69999999999999999999999999999999999999999999999999999991_<56>

= 1021568011415096267_<19> · 3643133669301479323_<19> · 18808564405666102751_<20>

7·10⁵⁶-9 =

699999999999999999999999999999999999999999999999999999991_<57>

= 31 · 324539435794589_<15> · 218358001979391821_<18> · 318639606883459936365169_<24>

7·10⁵⁷-9 =

6999999999999999999999999999999999999999999999999999999991_<58>

= 19703911 · 69411682303567_<14> · 5118150267148581516851398425602423743_<37>

7·10⁵⁸-9 =

69999999999999999999999999999999999999999999999999999999991_<59>

= 859 · 11813 · 5545640403607_<13> · 940755542907563_<15> · 1322257932751467570484453_<25>

7·10⁵⁹-9 =

699999999999999999999999999999999999999999999999999999999991_<60>

= 1327 · 371263792633_<12> · 1420837857915536825097690713749878956968536001_<46>

7·10⁶⁰-9 =

6999999999999999999999999999999999999999999999999999999999991_<61>

= 53 · 10875089 · 22844333 · 813988763803378208453_<21> · 653119210982323517280427_<24>

7·10⁶¹-9 =

69999999999999999999999999999999999999999999999999999999999991_<62>

= 17 · 61 · 21937 · 308621 · 9970491652745088652134058600929687482264953476559_<49>

7·10⁶²-9 =

699999999999999999999999999999999999999999999999999999999999991_<63>

= 29 · 281 · 3463 · 33581 · 660299 · 1118682814465094470993958292941212612296238147_<46>

7·10⁶³-9 =

6999999999999999999999999999999999999999999999999999999999999991_<64>

= 23 · 4200564596937088482282701_<25> · 72454028277264632343609034955413649317_<38>

7·10⁶⁴-9 =

69999999999999999999999999999999999999999999999999999999999999991_<65>

= 317 · 196709 · 2584574197_<10> · 4869382981085232119561_<22> · 89197279656513356948920691_<26>

7·10⁶⁵-9 =

699999999999999999999999999999999999999999999999999999999999999991_<66>

= 15373 · 690677096043165567058269235709_<30> · 65927158605080334159640015235663_<32>

7·10⁶⁶-9 =

6999999999999999999999999999999999999999999999999999999999999999991_<67>

= 2473 · 8025672923669_<13> · 352689448551458899208572288401083287390201152700643_<51>

7·10⁶⁷-9 =

69999999999999999999999999999999999999999999999999999999999999999991_<68>

= 1599715673923_<13> · 43757775922979016048616514484275454823910920823697037117_<56>

7·10⁶⁸-9 =

699999999999999999999999999999999999999999999999999999999999999999991_<69>

= 35221 · 7941419 · 15793913 · 158455933266452057874214088948639587896535990709593_<51>

7·10⁶⁹-9 =

6999999999999999999999999999999999999999999999999999999999999999999991_<70>

= 449² · 258492685662236177_<18> · 3760531227240978188599_<22> · 35719707990493100588004017_<26>

7·10⁷⁰-9 =

69999999999999999999999999999999999999999999999999999999999999999999991_<71>

= 19 · 81509 · 330606636232459_<15> · 8779104591814097_<16> · 15573172137340255745049809506903627_<35>

7·10⁷¹-9 =

699999999999999999999999999999999999999999999999999999999999999999999991_<72>

= 31 · 563 · 3911 · 179785556161493_<15> · 961989804515978153_<18> · 59294562391280460512472230846713_<32>

7·10⁷²-9 =

6999999999999999999999999999999999999999999999999999999999999999999999991_<73>

= 3413 · 52709415906457_<14> · 1156397065361874670603_<22> · 33648566508970817837441866894749017_<35>

7·10⁷³-9 =

69999999999999999999999999999999999999999999999999999999999999999999999991_<74>

= 53 · 1320754716981132075471698113207547169811320754716981132075471698113207547_<73>

7·10⁷⁴-9 =

699999999999999999999999999999999999999999999999999999999999999999999999991_<75>

= 701 · 3596653 · 277639646214539516840136162208818336263672385696593547123219691247_<66>

7·10⁷⁵-9 =

6999999999999999999999999999999999999999999999999999999999999999999999999991_<76>

= 3630700847_<10> · 883034280879212207_<18> · 29419487474138246773_<20> · 74215549448312697962377468123_<29>

7·10⁷⁶-9 =

69999999999999999999999999999999999999999999999999999999999999999999999999991_<77>

= 109 · 1511 · 15679 · 505067 · 53671004560691696262195668121871284129630226221974025606021313_<62>

7·10⁷⁷-9 =

699999999999999999999999999999999999999999999999999999999999999999999999999991_<78>

= 17 · 13229 · 17854464504271_<14> · 174331261543101214451235408329980906103713980372625651017997_<60>

7·10⁷⁸-9 =

6999999999999999999999999999999999999999999999999999999999999999999999999999991_<79>

= 59 · 746041 · 159031565016681616012424818111623301295818726189424905283639725439727389_<72>

7·10⁷⁹-9 =

69999999999999999999999999999999999999999999999999999999999999999999999999999991_<80>

= 1307 · 6785081 · 7893460059806511896319863994618680062877548233011093918582511765650173_<70>

7·10⁸⁰-9 =

699999999999999999999999999999999999999999999999999999999999999999999999999999991_<81>

= 1453 · 3191745091_<10> · 302786213659_<12> · 5176932940723071893_<19> · 96293193507834656986340282696713150391_<38>

7·10⁸¹-9 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999991_<82>

= 83 · 179 · 1371703 · 343484250251585934609283702296470793379559591266855447903771218547392121_<72>

7·10⁸²-9 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999991_<83>

= 9658508443_<10> · 163948327931_<12> · 44205976091257372221263494665720945674176108520668304334166127_<62>

7·10⁸³-9 =

699999999999999999999999999999999999999999999999999999999999999999999999999999999991_<84>

= 397259 · 48533531291684874475043310367_<29> · 36306334392159591871690594681309433317007261491547_<50>

7·10⁸⁴-9 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<85>

= 131 · 859 · 338323 · 169439817263_<12> · 13861039041779_<14> · 78287206438859709874601961365769572312018827087649_<50>

7·10⁸⁵-9 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<86>

= 23 · 661 · 212241131 · 277674421 · 1528560215850266240097607_<25> · 51111751820488007598569996009292231446221_<41>

7·10⁸⁶-9 =

699999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<87>

= 31 · 53 · 113 · 63337 · 836471 · 344081953433_<12> · 193512277560173350885335989_<27> · 1068816712100875280175997470842951_<34>

7·10⁸⁷-9 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<88>

= 1969829173632841194304683706673_<31> · 3553607639534705326098147460687934955266194754946936787367_<58> (Makoto Kamada / GGNFS-0.70.3 / 0.15 hours)

7·10⁸⁸-9 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<89>

= 19 · 2297 · 8951 · 1394539 · 22901293 · 1580561501_<10> · 2772096625367_<13> · 1014661128929015261_<19> · 1262061250545387607303577363_<28>

7·10⁸⁹-9 =

699999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<90>

= 227 · 726963781 · 35881789864109353145705630645174237189_<38> · 118218463500944725646795691167087710752037_<42> (Makoto Kamada / GGNFS-0.70.3 / 0.15 hours)

7·10⁹⁰-9 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<91>

= 29 · 47 · 281 · 2971 · 877463 · 13366844637367335133286680395331_<32> · 524487931580487799595358413662132611448042819_<45> (Makoto Kamada / msieve 0.83 / 12 minutes)

7·10⁹¹-9 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<92>

= 134989152107_<12> · 958924509667_<12> · 1308009413743_<13> · 1189939718671632467612763103_<28> · 347439283577433885449113398791_<30>

7·10⁹²-9 =

699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<93>

= 146891 · 78152033 · 20015164653398291985105716405836813079_<38> · 3046515594062724677900236292359230283243043_<43> (Makoto Kamada / GGNFS-0.71.1 / 0.30 hours)

7·10⁹³-9 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<94>

= 17 · 433 · 950957750305664991169678032875967939138703980437440565140605895938051895122945252003803831_<90>

7·10⁹⁴-9 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<95>

= 1445771 · 22736479 · 1823438587_<10> · 1167842241019817980875273241397181543662001925323893922497031801015436577_<73>

7·10⁹⁵-9 =

699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<96>

= 2341 · 2394729004403299_<16> · 124864865015264218394575582585749559062968304996835254249302244444965492025049_<78>

7·10⁹⁶-9 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<97>

= 5233 · 50599 · 5532071 · 8135801 · 55205063631751955989_<20> · 10639920769929440223306158395925323510860795221295373267_<56>

7·10⁹⁷-9 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<98>

= 1409391757_<10> · 5280519208379718820423_<22> · 9405668890330999362112448627619847261928122301969342209263792400981_<67>

7·10⁹⁸-9 =

699999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<99>

= 1427 · 3167 · 986451758445266456542306483_<27> · 157018257035127172514336620959131444330898107873147312728312942753_<66>

7·10⁹⁹-9 =

6999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<100>

= 53 · 132075471698113207547169811320754716981132075471698113207547169811320754716981132075471698113207547_<99>

7·10¹⁰⁰-9 =

69999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991_<101>

= definitely prime number

7·10¹⁰¹-9 =

6(9)₁₀₀1_<102>

= 31 · 449 · 8089 · 2272300714180442793943_<22> · 2736083611544163204365565828392337141806610405552934479293496480591005207_<73>

7·10¹⁰²-9 =

6(9)₁₀₁1_<103>

= 1254600491120498807_<19> · 11337584783797312963091987_<26> · 492121159988223191961267092426246766263374349339380761945499_<60>

7·10¹⁰³-9 =

6(9)₁₀₂1_<104>

= 3362705057_<10> · 20816574398722236792353924247243310937810862548091740060091746547725847726644674326547694010263_<95>

7·10¹⁰⁴-9 =

6(9)₁₀₃1_<105>

= 457 · 614683 · 10304587 · 784703085174773_<15> · 308173071816774340459673322686612595157917025374502729419945628032212200811_<75>

7·10¹⁰⁵-9 =

6(9)₁₀₄1_<106>

= 28051 · 2143763 · 116405344597190031191901805135847981119232304049116843498687768944335162152597547134452739242207_<96>

7·10¹⁰⁶-9 =

6(9)₁₀₅1_<107>

= 19 · 122323 · 3141040178363_<13> · 3992705548929701_<16> · 2401571606554999444278126303319542175254100775281143857688583997874014761_<73>

7·10¹⁰⁷-9 =

6(9)₁₀₆1_<108>

= 23 · 443130646503105367_<18> · 68681285866520115699706148638335760380632596349081223347818631243836775083347605879124551_<89>

7·10¹⁰⁸-9 =

6(9)₁₀₇1_<109>

= 404321 · 378807857 · 2663967441313171836581746263544242756268412123_<46> · 17156308633252668896929507566790813539577265672261_<50> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P46 x P50 / 4.81 hours on Cygwin on AMD 64 3200+ / Dec 27, 2007)

7·10¹⁰⁹-9 =

6(9)₁₀₈1_<110>

= 17 · 5250587928510849009183117637_<28> · 784225902867864207360231754958821339359705294994107011669171493784173460189631579_<81>

7·10¹¹⁰-9 =

6(9)₁₀₉1_<111>

= 859 · 1009 · 24243911 · 33312791674628217482346439393324067765371289521980792112336000123496601843965398888874627190008051_<98>

7·10¹¹¹-9 =

6(9)₁₁₀1_<112>

= 1069 · 277437895352022854995069_<24> · 23602312355297082015927167678140560343508592065308502398856544057659641295240594264431_<86>

7·10¹¹²-9 =

6(9)₁₁₁1_<113>

= 53 · 40708325839_<11> · 32444338836351822183116581229336641053098571635341899476915791474615044956229189053551757907065706773_<101>

7·10¹¹³-9 =

6(9)₁₁₂1_<114>

= 491 · 2423 · 4003873 · 184432465107840005841929350652158018855881137453_<48> · 796792925041443202307060294296189274485989498333919823_<54> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.40 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Dec 27, 2007)

7·10¹¹⁴-9 =

6(9)₁₁₃1_<115>

= 121257213803424719_<18> · 57728524187831009080731290680637814679125480153081993912147907087167318137639275275802041880800089_<98>

7·10¹¹⁵-9 =

6(9)₁₁₄1_<116>

= 97250820285663120463_<20> · 719788273192791955965746282238644653846287927798006385921017997045176263876158935002054839607257_<96>

7·10¹¹⁶-9 =

6(9)₁₁₅1_<117>

= 31 · 4485581 · 669776469149_<12> · 92090922434349821621_<20> · 178568102619862404424812210551227279_<36> · 457053511390114417546219792302625404555491_<42> (Makoto Kamada / Msieve 1.32 for P36 x P42 / 6.6 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 25, 2007)

7·10¹¹⁷-9 =

6(9)₁₁₆1_<118>

= 965127703405741647531200158987421082342396773977_<48> · 7252926193392239386243000349720048960099140101219877063658000208088783_<70> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 1.05 hours on Core 2 Quad Q6600 / Dec 26, 2007)

7·10¹¹⁸-9 =

6(9)₁₁₇1_<119>

= 29 · 281 · 479 · 564899 · 1984136958064167375045366373528421_<34> · 15999844291278446970836451631567805232288393575182670206207520554418064299_<74> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 2.24 hours on Core 2 Duo E6300 1.86GHz , Windows Vista / Dec 26, 2007)

7·10¹¹⁹-9 =

6(9)₁₁₈1_<120>

= 38149 · 2419159905731_<13> · 14581036054489_<14> · 520189907386696827300001381733679773554344541535309841482892667130817655268641804704841601_<90>

7·10¹²⁰-9 =

6(9)₁₁₉1_<121>

= 197 · 419 · 1323129079639263647678527821934298050401138159281717_<52> · 64093734415499366088944419295581630353010019359658087508532919861_<65> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 1.47 hours on Cygwin on AMD 64 3200+ / Dec 26, 2007)

7·10¹²¹-9 =

6(9)₁₂₀1_<122>

= 61 · 181 · 35329121 · 17964677206821421693_<20> · 334211158690645380842918043611_<30> · 29889347464454773363724797797419966103587991932040263599541497_<62> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3212389331 for P30 / Dec 18, 2007)

7·10¹²²-9 =

6(9)₁₂₁1_<123>

= 83 · 13523 · 244861 · 1071691642724939_<16> · 82895830946665960950649287503567133316049651_<44> · 28669805558837951631417683899953649248910278323675131_<53> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 3.38 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 26, 2007)

7·10¹²³-9 =

6(9)₁₂₂1_<124>

= 1050041917_<10> · 302916609883091_<15> · 239018721205781689_<18> · 34818487614485931662968674032860210843_<38> · 2644396018118121895004088022885829241424618139_<46> (Makoto Kamada / Msieve 1.32 for P38 x P46 / 36 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 25, 2007)

7·10¹²⁴-9 =

6(9)₁₂₃1_<125>

= 19 · 617 · 16007 · 1017799 · 78637659172668992987_<20> · 5049086622571583865989_<22> · 31658163005376569439686030385629_<32> · 29158031481352998719705506784590386527_<38> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2819111382 for P32 / Dec 18, 2007)

7·10¹²⁵-9 =

6(9)₁₂₄1_<126>

= 17 · 53 · 2647 · 13963 · 1044761 · 1390280563617935629_<19> · 14471753817307893884145108822799115764049852030062297362838935317717597952001945213709183099_<92>

7·10¹²⁶-9 =

6(9)₁₂₅1_<127>

= 311 · 51157 · 47616383 · 20706073799_<11> · 8197545011882838090704072765843473_<34> · 54437053775701211157352173944971804135504984853025897634831653286613_<68> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2887025868 for P34 / Dec 18, 2007)

7·10¹²⁷-9 =

6(9)₁₂₆1_<128>

= 349 · 4483 · 38567 · 94421 · 12286252053820531235898840216597784288999138262437218845755634025411245687087146881539233939777769719541943430939_<113>

7·10¹²⁸-9 =

6(9)₁₂₇1_<129>

= 193 · 101574349 · 16472182583_<11> · 15690820524959_<14> · 24520580133893_<14> · 61342395908275873142783_<23> · 91847725389181320183447907285466322171928818317546658846241_<59>

7·10¹²⁹-9 =

6(9)₁₂₈1_<130>

= 23 · 77641 · 3919936967413563989891042552035763264926699978664343077363315997878754109633917086613247258984075536065380068688495488992537_<124>

7·10¹³⁰-9 =

6(9)₁₂₉1_<131>

= 2331790871595725223809887_<25> · 121486076386989425190994558849_<30> · 247105229357886499742603117907178725533261641742249826966467842473182053082857_<78> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=685742332 for P30 / Dec 18, 2007)

7·10¹³¹-9 =

6(9)₁₃₀1_<132>

= 31 · 1008086585501132741209_<22> · 22399509611632412435317217769878768797093691276214282863054555407464845083783104689389885887218774118364718929_<110>

7·10¹³²-9 =

6(9)₁₃₁1_<133>

= 1292567 · 190646486287_<12> · 10653299394346279999189253853948866948741_<41> · 2666441366915221621544897168193843156735547511317187784920639757035112567619_<76> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 5.77 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 26, 2007)

7·10¹³³-9 =

6(9)₁₃₂1_<134>

= 449 · 1493 · 90917 · 94389114492319_<14> · 85173022756831337810382828011673697322037311_<44> · 142864005459473961587757841830261127716190760624346731496837517471_<66> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 8.35 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 27, 2007)

7·10¹³⁴-9 =

6(9)₁₃₃1_<135>

= 72089441 · 335074768187_<12> · 146241799665334969702251263_<27> · 20135344504565562376342185050464403393369_<41> · 9841336209634974359251395167641210798116774569059_<49> (Makoto Kamada / Msieve 1.32 for P41 x P49 / 1.8 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 25, 2007)

7·10¹³⁵-9 =

6(9)₁₃₄1_<136>

= 3673 · 255019 · 84498497 · 15088353311_<11> · 2619090469168430611738435623980583053_<37> · 2238016293251830424874207565385593578321653128229251831899397482529153343_<73> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 6.83 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Dec 27, 2007)

7·10¹³⁶-9 =

6(9)₁₃₅1_<137>

= 47 · 59 · 859 · 170372520579279611_<18> · 1528448959415478502358003_<25> · 112850767580475999098519341290326761537684048177582015080167140213439675324675866106367361_<90>

7·10¹³⁷-9 =

6(9)₁₃₆1_<138>

= 9041 · 162129560783_<12> · 63195768153342995547599618615921084920365446753767_<50> · 7556685842419476053247753995520570438772601000514461987314342496480958991_<73> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 4.07 hours on Core 2 Quad Q6600 / Dec 27, 2007)

7·10¹³⁸-9 =

6(9)₁₃₇1_<139>

= 53 · 51600811 · 13878683279_<11> · 8646687306199_<13> · 21328859054736563069383953455246447382924778411368997650321239762099378748992519605318312540959154329654937_<107>

7·10¹³⁹-9 =

6(9)₁₃₈1_<140>

= 199 · 1093 · 50363 · 4507795008012558253237675801_<28> · 1417584811269264650854104633179695072457419963018010240790042119247735303708763948459036916172114421151_<103>

7·10¹⁴⁰-9 =

6(9)₁₃₉1_<141>

= 26003 · 49967046113187701_<17> · 3072384756632832193294930209979933326902287322161_<49> · 175353850256855514724412620180648233024414774451978568104314670271200777_<72> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 6.12 hours on Core 2 Quad Q6600 / Dec 28, 2007)

7·10¹⁴¹-9 =

6(9)₁₄₀1_<142>

= 17 · 1138237 · 303685163 · 3342992330567_<13> · 356334165905534944800189881105649323262735993212622399006901200741518827628836005277207887512297309538298790092799_<114>

7·10¹⁴²-9 =

6(9)₁₄₁1_<143>

= 19 · 223 · 5431 · 18701 · 785700341891186083_<18> · 2160116886846590585524781_<25> · 15174573929900875998654000472424296906583891_<44> · 6316030855475744522615578081679974514949366821_<46> (Makoto Kamada / Msieve 1.32 for P44 x P46 / 1.8 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 25, 2007)

7·10¹⁴³-9 =

6(9)₁₄₂1_<144>

= 97 · 317 · 571 · 11669963674208858774803484401760836297661604636382205067928038771673_<68> · 3416342715437805134104596866257027736379971208960481691857755728114273_<70> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.32 / Dec 27, 2007)

7·10¹⁴⁴-9 =

6(9)₁₄₃1_<145>

= 1487 · 3084617 · 6753139867_<10> · 2066420873807475272508154570496764559275489805725499291_<55> · 109360704402145490620976185805347880615820804660378980898198273592328057_<72> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 10.14 hours on Core 2 Quad Q6600 / Dec 28, 2007)

7·10¹⁴⁵-9 =

6(9)₁₄₄1_<146>

= 94261 · 1021695068102849396044532089064863_<34> · 726849841772289840962937682508573633040889067399121266108989206433699098743911136797514039693842951036128037_<108> (Robert Backstrom / GMP-ECM 6.0.1 B1=672000, sigma=2836317521 for P34 / Dec 27, 2007)

7·10¹⁴⁶-9 =

6(9)₁₄₅1_<147>

= 29 · 31 · 281 · 2770971304612875516093405484148064872396771422577082483898677454981612626128675990325351616465903198096738566774470645517558061745157727645189_<142>

7·10¹⁴⁷-9 =

6(9)₁₄₆1_<148>

= 44253346650419_<14> · 640263926981563_<15> · 2384930862846177191492797_<25> · 345533806013666402094028972113839143_<36> · 299796493353162488095487968396822078060268288441471385866693_<60> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 gnfs for P36 x P60 / 11.00 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Dec 27, 2007)

7·10¹⁴⁸-9 =

6(9)₁₄₇1_<149>

= 7354479179_<10> · 18371504286793171_<17> · 2814258676699625279171724231993155814622006129842908123_<55> · 184093046599172102452699913165893938014185229449403497478166109476613_<69> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 15.54 hours on Core 2 Quad Q6600 / Dec 29, 2007)

7·10¹⁴⁹-9 =

6(9)₁₄₈1_<150>

= 1117 · 626678603401969561324977618621307072515666965085049239033124440465532676812891674127126230975828111011638316920322291853178155774395702775290957923_<147>

7·10¹⁵⁰-9 =

6(9)₁₄₉1_<151>

= 647 · 1543 · 2005183 · 646461489522371_<15> · 2174918059576277_<16> · 2487071445148018907055123375719728218895276013300639734344051218625383384649231714454210002245367387382902311_<109>

7·10¹⁵¹-9 =

6(9)₁₅₀1_<152>

= 23 · 53 · 263 · 218342654485226000243296100712108971699672797936349997036778260557647139555267204621378241218726313720964325929437892431931677464230794424152440603_<147>

7·10¹⁵²-9 =

6(9)₁₅₁1_<153>

= 642738965504016239_<18> · 12499425996572633795685838286539_<32> · 87131128901653143200613872829832683606052695848751370614553206443217691319643034696885938619060585421771_<104> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=1541462935 for P32 / Dec 26, 2007)

7·10¹⁵³-9 =

6(9)₁₅₂1_<154>

= 137945979054044323691_<21> · 772167558584103691869638283989203_<33> · 65716956589780721844302884925214520835046088468765165698360498247128407329527151604691722545317100967_<101> (Robert Backstrom / GMP-ECM 6.1.3 B1=1170000, sigma=4085508329 for P33 / Dec 29, 2007)

7·10¹⁵⁴-9 =

6(9)₁₅₃1_<155>

= 24187568437147_<14> · 357505542381274647193_<21> · 87307807817705591131142443529365687_<35> · 92719261960991305708767306625668063796197431975684064005420378748486361040936361668683_<86> (Robert Backstrom / GMP-ECM 6.0.1 B1=2160000, sigma=4055603832 for P35 / Dec 31, 2007)

7·10¹⁵⁵-9 =

6(9)₁₅₄1_<156>

= 29173 · 913656634473352296477347_<24> · 26262371220714013517427050722097014494839154559277063715376971066002533205465023622994672768241965919381715041311499951132881161_<128>

7·10¹⁵⁶-9 =

6(9)₁₅₅1_<157>

= 2260571 · 21161214882893_<14> · 625086523594801_<15> · 15854608314307477257889614412447463_<35> · 14765346313638338741527800132362791570551309344130945927519948485674768514606278097831519_<89> (JMB / GGNFS-0.77.1-20060513-pentium4 / Dec 30, 2007)

7·10¹⁵⁷-9 =

6(9)₁₅₆1_<158>

= 17 · 373 · 102922158772755053_<18> · 107258421178208200504024871002063695036492420154577297736764790262498570755829236524648783705280347573978939616905224425867392921490839767_<138>

7·10¹⁵⁸-9 =

6(9)₁₅₇1_<159>

= 665507 · 4787893769_<10> · 4551229532797823713440523924237357_<34> · 48269429654485286004700435874371392955763120608188765913835335149678303496468383067863156974558912669025897961_<110> (Robert Backstrom / GMP-ECM 6.1.3 B1=460000, sigma=4264591698 for P34 / Dec 28, 2007)

7·10¹⁵⁹-9 =

6(9)₁₅₈1_<160>

= 283 · 44059 · 7694021 · 1415428272491_<13> · 51550838674885184106526083938030244199127645047555938962734860470005338508317664645956597445523156116174008521020464366063573648048073_<134>

7·10¹⁶⁰-9 =

6(9)₁₅₉1_<161>

= 19 · 307 · 25703 · 1959110710717852532165249_<25> · 238321524535432050122944439811318913537818088929116644173613986973299481543129337516595261289373180324672198930123072423800404841_<129>

7·10¹⁶¹-9 =

6(9)₁₆₀1_<162>

= 31 · 238529 · 16165785424707406853881795571381_<32> · 1154734515303355813588848626575829_<34> · 5071263789375496111006719685471610072718773087775179235920085143775708329815366365895324241_<91> (Makoto Kamada / GMP-ECM 6.1.3 B1=11000, sigma=2881549954 for P32 / Dec 16, 2007) (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=223357812 for P34 / Jan 16, 2008)

7·10¹⁶²-9 =

6(9)₁₆₁1_<163>

= 859 · 118247 · 2662639391_<10> · 68628329971_<11> · 436977788659416077831566216483_<30> · 863057237779628902143622988929371538585971609219344275040457451654589439284920068001169478963439353329509_<105> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=2029589823 for P30 / Dec 27, 2007)

7·10¹⁶³-9 =

6(9)₁₆₂1_<164>

= 83 · 2447 · 590732534224585594774305619_<27> · 129176060038429313134294565540217914223913_<42> · 120256406964389982245302914445931857545867029_<45> · 37558205196955967532214995487858032886370144357_<47> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=3000000, sigma=1287683819 for P42, Msieve v. 1.32 for P45 x P47 / 1.65 hours on Core 2 Quad Q6600 / Mar 11, 2008)

7·10¹⁶⁴-9 =

6(9)₁₆₃1_<165>

= 53 · 226030643 · 402888866351_<12> · 367237046175187_<15> · 394932703653576027487914095246244689798585859601052218782363423434472225311946961020913370378737680933273414547659452762250757517_<129>

7·10¹⁶⁵-9 =

6(9)₁₆₄1_<166>

= 449 · 96293 · 193732283 · 119720935477183205712026361015748167111027951799849560997421_<60> · 6980473515066820668028752248342210383473908035017528053560574089914810233581451339796380341_<91> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.32 / Dec 31, 2007)

7·10¹⁶⁶-9 =

6(9)₁₆₅1_<167>

= 971 · 420691 · 5160037 · 65820677509334269_<17> · 372447795625959253_<18> · 904713053389830803_<18> · 22012899639353369009_<20> · 68021609961278375487961175623259531769426640092790359816708588953678310022702217_<80>

7·10¹⁶⁷-9 =

6(9)₁₆₆1_<168>

= 1315096889_<10> · 2924704534089087990741564307_<28> · 32171713835165356860545627602731658117138163_<44> · 5656972847387801199256068528668241589373474506207018297434013731023661520263653791197559_<88> (Markus Tervooren / GGNFS-0.77.1-20060722-nocona snfs / 76.94 hours on Q6700, Linux2.6.22 / Nov 22, 2008)

7·10¹⁶⁸-9 =

6(9)₁₆₇1_<169>

= 9843923 · 117894475991_<12> · 1261779092388631_<16> · 27635543446430167_<17> · 1537937361615581169410967292004327295366166873569433_<52> · 112472511207691888590129843674497489028548891319841138462050561658307_<69> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P52 x P69 / 45.59 hours on Core 2 Quad Q6600 / Jan 4, 2008)

7·10¹⁶⁹-9 =

6(9)₁₆₈1_<170>

= 208699 · 241417849 · 260261239348850539688922265966919165310599_<42> · 5338248691337501107137922770641624082752782783076792345043666099791736776212975427477023032244417290856029907636859_<115> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 76.95 hours on Cygwin on AMD 64 3400+ / Jul 22, 2008)

7·10¹⁷⁰-9 =

6(9)₁₆₉1_<171>

= 1888933069_<10> · 960609759386506771_<18> · 9799579277074828605525641_<25> · 175154766503563259185085659_<27> · 224752786451467689464784674977968389374665367051015041143571563533474550986697022411575290811_<93>

7·10¹⁷¹-9 =

6(9)₁₇₀1_<172>

= 1951 · 32173 · 42839 · 191392620057115592363_<21> · 121675574481606991533348359183_<30> · 37422933325867189106477419970456951426047763_<44> · 2987056712446451498387325795625445621950302093418101807281997373189_<67> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=3791932801 for P30, pol51+Msieve 1.36 gnfs for P44 x P67 / 12.00 hours on Opteron-2.6GHz; Linux x86_64 / Aug 8, 2008)

7·10¹⁷²-9 =

6(9)₁₇₁1_<173>

= 10598698069_<11> · 223245829680143568677436140783698003000608237638667397220569703726322445019_<75> · 29584359061808698085356769885290337868193171920464425723391688951441403237695049377138881_<89> (Serge Batalov / Msieve-1.38 snfs / 34.00 hours on Opteron-2.6GHz; Linux x86_64 / Oct 15, 2008)

7·10¹⁷³-9 =

6(9)₁₇₂1_<174>

= 17 · 23 · 16421 · 951988489 · 967778104050840161_<18> · 5822198849636541604216008139984546047314947195596463077900521_<61> · 20324841068780494305293498995060419802226786782151713853158153045709315773873709_<80> (Wataru Sakai / / 117.44 hours / Oct 27, 2009)

7·10¹⁷⁴-9 =

6(9)₁₇₃1_<175>

= 29 · 281 · 1823796208039336577_<19> · 470996211442646025750939478655942186726221011346236552366354576411053857775974580419407982600498562396402232108375191437035834695707512298293812377552667_<153>

7·10¹⁷⁵-9 =

6(9)₁₇₄1_<176>

= 1301 · 700849 · 2998263129687771495713319147093796698599357538666071288999_<58> · 25605103830539641054955333281714615256570243024259263526043334000070733816061239428491153704128112278858660541_<110> (matsui / GGNFS-0.77.1-20060513-pentium-m snfs / 120.77 hours / Jul 6, 2008)

7·10¹⁷⁶-9 =

6(9)₁₇₅1_<177>

= 31 · 284227 · 1471607402359269526317161020368119_<34> · 53985739075515634697915501772688348506596820268762244897523775610785131164014476184599853349601190834688415144297768454969091079778009397_<137> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=1000000, sigma=3920796782 for P34 / Nov 4, 2008)

7·10¹⁷⁷-9 =

6(9)₁₇₆1_<178>

= 53 · 10806931 · 1532362774773961413316989871_<28> · [7975505127159272454394969903948159716142691004791684092830287499572352708024456452769522140725323266745618487784796297242877042038978987020247_<142>] SUBMIT/RESERVE

7·10¹⁷⁸-9 =

6(9)₁₇₇1_<179>

= 19 · 2539 · 12897341641762311482225721924377786620072960817038184469508152023_<65> · 112507515436489482196909605851330785043044214218396095102143177575566128872215934971677861051720757848691700337_<111> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.36 snfs / 57.99 hours, 5.9 hours / Sep 22, 2008)

7·10¹⁷⁹-9 =

6(9)₁₇₈1_<180>

= 26849 · 2710397 · [9619157088519491680156965693395507601477580817741972083854967345169761985995395182281502397170631753532302442717445004234770902741776409518599118392080480975715276856547_<169>] SUBMIT/RESERVE

7·10¹⁸⁰-9 =

6(9)₁₇₉1_<181>

= 9521 · 198160716463_<12> · 4548271447823_<13> · 19621014190235027443_<20> · 1660094651293268747131111_<25> · 25043627343713814794844118895772844081224864870667546823460200467693966774671428762293723587780092269937579323_<110>

7·10¹⁸¹-9 =

6(9)₁₈₀1_<182>

= 61 · 24261697 · 231437543 · 609870487 · 16310561610643_<14> · 16717951075581074590093_<23> · 156932322691243375623534129601937_<33> · 7830892015959968705004048065722168586730354618782817830772496580628340016890487858634181_<88> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=267773023 for P33 / Dec 23, 2007)

7·10¹⁸²-9 =

6(9)₁₈₁1_<183>

= 47 · 2909 · 8412983 · 197529555280333365899_<21> · 551024823684035448740408536106657207_<36> · 120505114541548280042487841757872247892709036654778083_<54> · 46397835349507535301741903585430930023363737967949935765765821_<62> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=3000000, sigma=820661537 for P36 / Dec 1, 2008) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P54 x P62 / 22.15 hours on Core 2 Quad Q6700 / Dec 2, 2008)

7·10¹⁸³-9 =

6(9)₁₈₂1_<184>

= 1657888650017788234967_<22> · [4222237723821134696399627564215417733848679323756900695934179647850919897942264409777042228305769751642015107188284690412695147661002520593687233880815961401762273_<163>] SUBMIT/RESERVE

7·10¹⁸⁴-9 =

6(9)₁₈₃1_<185>

= 109 · 1140031069_<10> · 563319590426342425498333003056656651923856994752022174369177797502301824459384596655531542834894795020472175080872146706718675489814594862291906939876211680925012893484717071_<174>

7·10¹⁸⁵-9 =

6(9)₁₈₄1_<186>

= 7681 · 175417656210821_<15> · [519525621878462626981845328919262546963915820246272291450351321755991476381704041637641727964106798879810212328388482081851023459477322090604164425834795542661553954891_<168>] SUBMIT/RESERVE

7·10¹⁸⁶-9 =

6(9)₁₈₅1_<187>

= 1882873212211_<13> · 5833979226117373_<16> · 47533639674475314086029_<23> · 22494947546032604356359491_<26> · 2515472027805282686708792675704535850836383_<43> · 236922626264959098658721156310440198919184175106191358028227502394681_<69> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P43 x P69 / 19.07 hours on Cygwin on AMD 64 3200+ / Dec 28, 2007)

7·10¹⁸⁷-9 =

6(9)₁₈₆1_<188>

= 461 · 923371 · 473554153625182489683337_<24> · 4690476648547345168326374837406127_<34> · 132247220045280786396912011749138627359993288829687_<51> · 559819090026885770857005522645932550743849730325918357433966783937734297_<72> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=1000000, sigma=603318502 for P34 / Nov 4, 2008) (Dmitry Domanov / Sieving done by gnfs-lasieve4I12e, postprocessing and linear algebra by msieve. for P51 x P72 / 1.24 hours / May 12, 2009)

7·10¹⁸⁸-9 =

6(9)₁₈₇1_<189>

= 233 · 859 · 977 · 1979 · 356749 · 45284116079_<11> · 279525333020076779648841331_<27> · [400570317144526049142044662828299173225974856800363527761389035564887492131838307446010748630979837232443206977738630835531770344559391_<135>] SUBMIT/RESERVE

7·10¹⁸⁹-9 =

6(9)₁₈₈1_<190>

= 17 · 52219901 · 44999932897_<11> · [175227073719843846125700722579501280469762853374437612178390545976726275159962841827917153222056198886245671078687047315895104890035221746578502288400450775103392784356659_<171>] SUBMIT/RESERVE

7·10¹⁹⁰-9 =

6(9)₁₈₉1_<191>

= 53 · 569 · 104107 · 1483907 · 345080665654807232107_<21> · 507646619486579613433558690339_<30> · 85771136186162851881469759878437505454102969685026092495262931468124073457171969193192101906318528829048354310172383828309619_<125> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=154776249 for P30 / Dec 24, 2007)

7·10¹⁹¹-9 =

6(9)₁₉₀1_<192>

= 31 · 28283 · 242813 · 3288053973442086278914586610528205166004572595510931246385392329675392901903833923762196663895214651308538958580233733841833637907417703130500069018157625244006374397315619087839559_<181>

7·10¹⁹²-9 =

6(9)₁₉₁1_<193>

= 149 · 167 · 15872476757358930071814952703_<29> · [17723545342564791527039810827146200667238839506483869104658511326337675073788920465510515648677167752009851899630511111184185219839268866501343622738469417666259_<161>] SUBMIT/RESERVE

7·10¹⁹³-9 =

6(9)₁₉₂1_<194>

= 148773167 · 490799597 · 624265043 · 279332624936131460064588188231867_<33> · [5497668581305396532401907450640749152944535033751322787659919739277511451694105836805483559749328381395643428084855176167494056065079389_<136>] (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3695353944 for P33 / Dec 24, 2007) SUBMIT/RESERVE

7·10¹⁹⁴-9 =

6(9)₁₉₃1_<195>

= 59 · 503 · 19009 · 4546319117_<10> · 3201890183553739545421_<22> · 3663534177803835316717_<22> · 5453825411908180414535101_<25> · 52063286361231377503035962252713421659616793211_<47> · 81944416344344076297954674797070896167668217005498046483209993_<62> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P47 x P62, Msieve 1.32 / Dec 27, 2007)

7·10¹⁹⁵-9 =

6(9)₁₉₄1_<196>

= 23 · 11873647 · 446469337 · 2166345721_<10> · [26501268828979351686493807189887728475618581590367686628199290125264705758664427403096679774204229195517235053113223283322785171453699281428219526186683109221083305442943_<170>] SUBMIT/RESERVE

7·10¹⁹⁶-9 =

6(9)₁₉₅1_<197>

= 19 · 1709 · 2131 · 1011623540023100568054076076200167406353755994176574640092164107131453151981219180075941423008345561814598857810545195575083486761699256432130082763378609315627859597809407263610206073351291_<190>

7·10¹⁹⁷-9 =

6(9)₁₉₆1_<198>

= 449 · 3992849491_<10> · 761458444133_<12> · 2906695017509_<13> · 23613190777085118197489_<23> · 7470822358757516694376023502485149120828010135091508808544969902792011604366736031668150066428550848493390279780581479167855086175934922853_<139>

7·10¹⁹⁸-9 =

6(9)₁₉₇1_<199>

= 113 · 557 · 14669 · 1011899197_<10> · 264988857469403991211956741757711_<33> · 28274766614610714157255420998775798591008627434112116606543963199796112209476723290238538742147137438714006318672046665431077283855690553184035469237_<149> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3404709547 for P33 / Oct 21, 2008)

7·10¹⁹⁹-9 =

6(9)₁₉₈1_<200>

= 7085518471_<10> · 14063637477180853_<17> · 702471554040682805242329783699393716629784654585987492565860173442612180815087577069399847948920121838876411940815482915009967832162942015243043315915479061483642925345160557_<174>

7·10²⁰⁰-9 =

6(9)₁₉₉1_<201>

= 15764641 · 11284635217137977617526487653933_<32> · 3934834132347528894029161821328170864341780603433105197044385991837432909415350859571119308115656096581344079723625343143220426630178141030835445756037523722590547_<163> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=13078247 for P32 / Sep 10, 2008)

4. References

• A103048 (On-Line Encyclopedia of Integer Sequences)