Factorizations of 88...883

Table of contents

1. About 88...883
   • First ten terms
   • General term
2. Prime numbers of the form 88...883
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 88...883
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 88...883

First ten terms

3, 83, 883, 8883, 88883, 888883, 8888883, 88888883, 888888883, 8888888883

General term

(8·10ⁿ-53)/9

2. Prime numbers of the form 88...883

Last update

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

24.96%

Results

1. (8·10¹-53)/9 = 3 is prime. (Makoto Kamada / Apr 29, 2003)
2. (8·10²-53)/9 = 83 is prime. (Makoto Kamada / Apr 29, 2003)
3. (8·10³-53)/9 = 883 is prime. (Makoto Kamada / Apr 29, 2003)
4. (8·10⁵-53)/9 = 88883 is prime. (Makoto Kamada / Apr 29, 2003)
5. (8·10⁸-53)/9 = 88888883 is prime. (Makoto Kamada / Apr 29, 2003)
6. (8·10⁹-53)/9 = 888888883 is prime. (Makoto Kamada / Apr 29, 2003)
7. (8·10¹⁵-53)/9 = (8)₁₄3_<15> is prime. (Makoto Kamada / Apr 29, 2003)
8. (8·10⁵¹-53)/9 = (8)₅₀3_<51> is prime. (Makoto Kamada / PPSIQS / Apr 29, 2003)
9. (8·10⁷¹-53)/9 = (8)₇₀3_<71> is prime. (Makoto Kamada / PPSIQS / Apr 29, 2003)
10. (8·10⁷⁷-53)/9 = (8)₇₆3_<77> is prime. (Makoto Kamada / PPSIQS / Apr 29, 2003)
11. (8·10²²⁴-53)/9 = (8)₂₂₃3_<224> is prime. (Makoto Kamada / PPSIQS / Apr 29, 2003)
12. (8·10²⁹⁶-53)/9 = (8)₂₉₅3_<296> is prime. (Makoto Kamada / PPSIQS / Apr 29, 2003)
13. (8·10³¹⁵-53)/9 = (8)₃₁₄3_<315> is prime. (searched by Makoto Kamada / Apr 29, 2003) (certified by Julien Peter Benney / Dec 1, 2004)
14. (8·10²⁰⁹⁰-53)/9 = (8)₂₀₈₉3_<2090> is prime. (searched by Makoto Kamada / Apr 29, 2003) (certified by Jo Yeong Uk / PRIMO 3.0.4 / Sep 12, 2007)
15. (8·10²⁹⁰⁶-53)/9 = (8)₂₉₀₅3_<2906> is PRP. (Makoto Kamada / Apr 29, 2003)
16. (8·10³³⁹⁵-53)/9 = (8)₃₃₉₄3_<3395> is PRP. (Makoto Kamada / Jan 25, 2004)
17. (8·10³⁸⁸²-53)/9 = (8)₃₈₈₁3_<3882> is PRP. (Makoto Kamada / Jan 25, 2004)
18. (8·10⁵¹¹⁴-53)/9 = (8)₅₁₁₃3_<5114> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
19. (8·10⁶⁰⁵⁶-53)/9 = (8)₆₀₅₅3_<6056> is PRP. (Makoto Kamada / PFGW / Dec 25, 2004)
20. (8·10⁷²⁵⁴-53)/9 = (8)₇₂₅₃3_<7254> is PRP. (Makoto Kamada / PFGW / Dec 29, 2004)
21. (8·10⁷⁹⁹⁵-53)/9 = (8)₇₉₉₄3_<7995> is PRP. (Makoto Kamada / PFGW / Dec 29, 2004)

3. Factorizations of 88...883

Last update

Oct 22, 2009

Completed up to

• n≤100 / Apr 29, 2003
• n≤150 / Feb 6, 2005

Range

n≤200

Terms which have not been factored yet

n=172, 174, 176, 179, 184, 185, 186, 194, 195, 196, 197, 199 (12/200)

Results

(8·10¹-53)/9 =

3

= definitely prime number

(8·10²-53)/9 =

83

= definitely prime number

(8·10³-53)/9 =

883

= definitely prime number

(8·10⁴-53)/9 =

8883

= 3³ · 7 · 47

(8·10⁵-53)/9 =

88883

= definitely prime number

(8·10⁶-53)/9 =

888883

= 397 · 2239

(8·10⁷-53)/9 =

8888883

= 3 · 2962961

(8·10⁸-53)/9 =

88888883

= definitely prime number

(8·10⁹-53)/9 =

888888883

= definitely prime number

(8·10¹⁰-53)/9 =

8888888883_<10>

= 3 · 7 · 19 · 2687 · 8291

(8·10¹¹-53)/9 =

88888888883_<11>

= 59 · 1506591337_<10>

(8·10¹²-53)/9 =

888888888883_<12>

= 17 · 349 · 149821151

(8·10¹³-53)/9 =

8888888888883_<13>

= 3² · 3779 · 261353353

(8·10¹⁴-53)/9 =

88888888888883_<14>

= 1738543 · 51128381

(8·10¹⁵-53)/9 =

888888888888883_<15>

= definitely prime number

(8·10¹⁶-53)/9 =

8888888888888883_<16>

= 3 · 7 · 3096389 · 136701307

(8·10¹⁷-53)/9 =

88888888888888883_<17>

= 12317441 · 7216506163_<10>

(8·10¹⁸-53)/9 =

888888888888888883_<18>

= 11953 · 74365338315811_<14>

(8·10¹⁹-53)/9 =

8888888888888888883_<19>

= 3 · 23 · 128824476650563607_<18>

(8·10²⁰-53)/9 =

88888888888888888883_<20>

= 10340387 · 8596282604209_<13>

(8·10²¹-53)/9 =

888888888888888888883_<21>

= 173 · 3475889 · 1478207751439_<13>

(8·10²²-53)/9 =

8888888888888888888883_<22>

= 3² · 7 · 29033 · 66239 · 88729 · 826867

(8·10²³-53)/9 =

88888888888888888888883_<23>

= 22157 · 325597 · 12321288458827_<14>

(8·10²⁴-53)/9 =

888888888888888888888883_<24>

= 67 · 13266998341625207296849_<23>

(8·10²⁵-53)/9 =

8888888888888888888888883_<25>

= 3 · 2962962962962962962962961_<25>

(8·10²⁶-53)/9 =

88888888888888888888888883_<26>

= 157 · 1277 · 51973 · 8530591426269439_<16>

(8·10²⁷-53)/9 =

888888888888888888888888883_<27>

= 29 · 5477 · 5596374109214639834851_<22>

(8·10²⁸-53)/9 =

8888888888888888888888888883_<28>

= 3 · 7 · 17 · 19 · 223 · 121487 · 555097 · 87140913733_<11>

(8·10²⁹-53)/9 =

88888888888888888888888888883_<29>

= 89 · 1418959 · 703862169766225351333_<21>

(8·10³⁰-53)/9 =

888888888888888888888888888883_<30>

= 61 · 727 · 4057 · 122893891 · 40202024984347_<14>

(8·10³¹-53)/9 =

8888888888888888888888888888883_<31>

= 3³ · 58140275827_<11> · 5662479276422659027_<19>

(8·10³²-53)/9 =

88888888888888888888888888888883_<32>

= 113 · 5679460722479_<13> · 138503878050687629_<18>

(8·10³³-53)/9 =

888888888888888888888888888888883_<33>

= 1487 · 15497 · 117763 · 327551818774653340519_<21>

(8·10³⁴-53)/9 =

8888888888888888888888888888888883_<34>

= 3 · 7 · 109 · 8801851 · 441192044218905044162297_<24>

(8·10³⁵-53)/9 =

88888888888888888888888888888888883_<35>

= 2963 · 701542691 · 2062768723_<10> · 20730567163337_<14>

(8·10³⁶-53)/9 =

888888888888888888888888888888888883_<36>

= 2099 · 578857 · 40689181111_<11> · 17979797657111471_<17>

(8·10³⁷-53)/9 =

8888888888888888888888888888888888883_<37>

= 3 · 1471 · 2719 · 25169 · 37029799 · 794853383172547319_<18>

(8·10³⁸-53)/9 =

88888888888888888888888888888888888883_<38>

= 4567 · 1097627 · 296380499533_<12> · 59829043367134939_<17>

(8·10³⁹-53)/9 =

888888888888888888888888888888888888883_<39>

= 1247777 · 712378004153698047719174891738579_<33>

(8·10⁴⁰-53)/9 =

8888888888888888888888888888888888888883_<40>

= 3² · 7² · 39972686011_<11> · 504249592505601526853190833_<27>

(8·10⁴¹-53)/9 =

88888888888888888888888888888888888888883_<41>

= 23 · 773 · 1351064548091_<13> · 3700531022515172630216947_<25>

(8·10⁴²-53)/9 =

888888888888888888888888888888888888888883_<42>

= 1361 · 12541 · 21061 · 2341906201_<10> · 1055865743424602700203_<22>

(8·10⁴³-53)/9 =

8888888888888888888888888888888888888888883_<43>

= 3 · 83 · 2683 · 13305385371360789993951039175545100849_<38>

(8·10⁴⁴-53)/9 =

88888888888888888888888888888888888888888883_<44>

= 17 · 97 · 831893 · 1156681 · 19748621 · 2836671040152930193819_<22>

(8·10⁴⁵-53)/9 =

888888888888888888888888888888888888888888883_<45>

= 283 · 35069 · 1512629 · 19782617843_<11> · 2993101717310207440307_<22>

(8·10⁴⁶-53)/9 =

8888888888888888888888888888888888888888888883_<46>

= 3 · 7 · 19 · 1049 · 1867 · 72689291 · 156489190097970145990283462989_<30>

(8·10⁴⁷-53)/9 =

88888888888888888888888888888888888888888888883_<47>

= 171653 · 1574140031_<10> · 14286626110649063_<17> · 23026240534303087_<17>

(8·10⁴⁸-53)/9 =

888888888888888888888888888888888888888888888883_<48>

= 19079 · 2493653 · 24431059 · 304746341 · 2509429836351051988511_<22>

(8·10⁴⁹-53)/9 =

8888888888888888888888888888888888888888888888883_<49>

= 3² · 26974639 · 119557738735640963_<18> · 306246852928448001299591_<24>

(8·10⁵⁰-53)/9 =

88888888888888888888888888888888888888888888888883_<50>

= 47 · 1891252955082742316784869976359338061465721040189_<49>

(8·10⁵¹-53)/9 =

888888888888888888888888888888888888888888888888883_<51>

= definitely prime number

(8·10⁵²-53)/9 =

8888888888888888888888888888888888888888888888888883_<52>

= 3 · 7 · 465126269 · 79057486128023107_<17> · 11511033408830218933720081_<26>

(8·10⁵³-53)/9 =

88888888888888888888888888888888888888888888888888883_<53>

= 9877921 · 244760447510389093_<18> · 36765518103119985448590093911_<29>

(8·10⁵⁴-53)/9 =

888888888888888888888888888888888888888888888888888883_<54>

= 5690827987957855480487_<22> · 156196759200916428446949444783509_<33>

(8·10⁵⁵-53)/9 =

8888888888888888888888888888888888888888888888888888883_<55>

= 3 · 29 · 1229 · 69300349 · 1199612328269041937440109670390649648535629_<43>

(8·10⁵⁶-53)/9 =

88888888888888888888888888888888888888888888888888888883_<56>

= 429917 · 238390981 · 1225122115832071057_<19> · 707935446993466246388947_<24>

(8·10⁵⁷-53)/9 =

888888888888888888888888888888888888888888888888888888883_<57>

= 67 · 4211 · 6281594519_<10> · 6028740669793_<13> · 83193794225118094252717378477_<29>

(8·10⁵⁸-53)/9 =

8888888888888888888888888888888888888888888888888888888883_<58>

= 3⁴ · 7 · 24364342525241881_<17> · 643442469167721348922523663199162534829_<39>

(8·10⁵⁹-53)/9 =

88888888888888888888888888888888888888888888888888888888883_<59>

= 373 · 40838515791025543_<17> · 73920552510528376567_<20> · 78941157748720062791_<20>

(8·10⁶⁰-53)/9 =

888888888888888888888888888888888888888888888888888888888883_<60>

= 17 · 647612527 · 80738990552828520608215736281828475000788540126637_<50>

(8·10⁶¹-53)/9 =

8888888888888888888888888888888888888888888888888888888888883_<61>

= 3 · 9923 · 89458938631242751009_<20> · 3337793697002283516914208711086545723_<37>

(8·10⁶²-53)/9 =

88888888888888888888888888888888888888888888888888888888888883_<62>

= 27539 · 3227745702054863607570677544169682591557024179849990518497_<58>

(8·10⁶³-53)/9 =

888888888888888888888888888888888888888888888888888888888888883_<63>

= 23 · 8431 · 357347 · 12827747766893159556356360427074540501864549842112953_<53>

(8·10⁶⁴-53)/9 =

8888888888888888888888888888888888888888888888888888888888888883_<64>

= 3 · 7 · 19 · 173 · 571 · 79631 · 3043723 · 930475783769521096870513959098976709094534023_<45>

(8·10⁶⁵-53)/9 =

88888888888888888888888888888888888888888888888888888888888888883_<65>

= 1459 · 14566808239_<11> · 1519340175803332970519_<22> · 2752787962675329076877368334857_<31>

(8·10⁶⁶-53)/9 =

888888888888888888888888888888888888888888888888888888888888888883_<66>

= 709 · 111337 · 6627545299_<10> · 6332556181687_<13> · 268305744485387169628163720534881027_<36>

(8·10⁶⁷-53)/9 =

8888888888888888888888888888888888888888888888888888888888888888883_<67>

= 3² · 987654320987654320987654320987654320987654320987654320987654320987_<66>

(8·10⁶⁸-53)/9 =

88888888888888888888888888888888888888888888888888888888888888888883_<68>

= 839 · 29599 · 5912527 · 7104607 · 85210925364327059092981963149159408495217856827_<47>

(8·10⁶⁹-53)/9 =

888888888888888888888888888888888888888888888888888888888888888888883_<69>

= 59 · 143699 · 875588891 · 59448763204063598383_<20> · 2014181734942689592868464295253671_<34>

(8·10⁷⁰-53)/9 =

8888888888888888888888888888888888888888888888888888888888888888888883_<70>

= 3 · 7 · 179 · 1143142993299513655003011560106281_<34> · 2068590820208700282667700167170677_<34>

(8·10⁷¹-53)/9 =

88888888888888888888888888888888888888888888888888888888888888888888883_<71>

= definitely prime number

(8·10⁷²-53)/9 =

888888888888888888888888888888888888888888888888888888888888888888888883_<72>

= 2267 · 392099201097877763074057736607361662500612655001715434004803215213449_<69>

(8·10⁷³-53)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888883_<73>

= 3 · 89 · 16073 · 308291 · 134121830429486285677_<21> · 50093220469857404817110684631859483380359_<41>

(8·10⁷⁴-53)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888883_<74>

= 199 · 1949 · 56977691 · 91734803227021_<14> · 43847373382838864350104710275972847754795131303_<47>

(8·10⁷⁵-53)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888883_<75>

= 827 · 648938578349_<12> · 1565564756597_<13> · 1057955349470557987855401541546072988875938002393_<49>

(8·10⁷⁶-53)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888883_<76>

= 3² · 7 · 17 · 419 · 19808153085330304666726586329749790838283514590314159783952474298302367_<71>

(8·10⁷⁷-53)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888883_<77>

= definitely prime number

(8·10⁷⁸-53)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888883_<78>

= 91052218509940200132245377891356727_<35> · 9762407807689480970832804040740532523539429_<43>

(8·10⁷⁹-53)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888883_<79>

= 3 · 257 · 439 · 677 · 12698969 · 1857355258039_<13> · 1644661279812589291267343463639456188716442894363701_<52>

(8·10⁸⁰-53)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888883_<80>

= 36461413181_<11> · 2323697172407449_<16> · 1049142428859610977202416423017801716946452109016768007_<55>

(8·10⁸¹-53)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888883_<81>

= 751 · 3911 · 8929 · 33893537711502324649328323151458729771774235812955535625539366144282107_<71>

(8·10⁸²-53)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888883_<82>

= 3 · 7² · 19 · 181 · 3343 · 14563 · 62617435681753_<14> · 275449091672921_<15> · 20939876596334336190810910627362424568603_<41>

(8·10⁸³-53)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888888883_<83>

= 29 · 4639 · 66377 · 2282089 · 7531859 · 579125553539625530493306379843817382702754850824596893744059_<60>

(8·10⁸⁴-53)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<84>

= 83 · 1019 · 4483 · 45137683 · 44492403260021_<14> · 17437594309789252811_<20> · 66944478975888725806321975635808381_<35>

(8·10⁸⁵-53)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<85>

= 3³ · 23 · 16603 · 144803964713_<12> · 14943409354001_<14> · 77926637215356209957_<20> · 5112734344681670360861471476666001_<34>

(8·10⁸⁶-53)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<86>

= 22589882867_<11> · 1603911435517992306067_<22> · 302634607514462222046571_<24> · 8106521237762863018306369739857_<31>

(8·10⁸⁷-53)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<87>

= 584063 · 750977 · 177966811403_<12> · 11387335786638779678120084276023124707692310428689736648754271111_<65>

(8·10⁸⁸-53)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<88>

= 3 · 7 · 423280423280423280423280423280423280423280423280423280423280423280423280423280423280423_<87>

(8·10⁸⁹-53)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<89>

= 131 · 11961118285096751_<17> · 85062395951853016054741_<23> · 666909317986722383787985667440167212291648131523_<48>

(8·10⁹⁰-53)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<90>

= 61 · 67 · 2814403 · 29794256214997148409599_<23> · 2593725469281893068389114227367576455385297300766306479497_<58>

(8·10⁹¹-53)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<91>

= 3 · 337 · 8219 · 287899795066761968777_<21> · 1090530411222748799232883_<25> · 3407204531608300791830469478304250349657_<40>

(8·10⁹²-53)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<92>

= 17 · 2713 · 2336821 · 16390229 · 4177257518683172023_<19> · 12046116105508496872866785880982898784102098280716393189_<56>

(8·10⁹³-53)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<93>

= 977 · 18049 · 36293 · 1407902599_<10> · 3348542642083_<13> · 9316145966203_<13> · 31623662850804013930246635356535888828376114897_<47>

(8·10⁹⁴-53)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<94>

= 3² · 7 · 342202046448242250782275783_<27> · 1833821897527377941037636629063_<31> · 224836683957794486081177241818230429_<36>

(8·10⁹⁵-53)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<95>

= 14447 · 4606783 · 221616148052594609_<18> · 6026576130965128118181397886849820000710794162956152926829228155187_<67>

(8·10⁹⁶-53)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<96>

= 47 · 24747142223_<11> · 764230850592926790722986332416382808398797894680497749652535397593365581893812760243_<84>

(8·10⁹⁷-53)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<97>

= 3 · 18169 · 21430280629_<11> · 266799850322442616657549_<24> · 28522117072247176180912147157420624902143137793748982245289_<59>

(8·10⁹⁸-53)/9 =

88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<98>

= 11329 · 2306109149_<10> · 97036916330982055201_<20> · 3503380416494808082561063202807_<31> · 10008102786942960167512570096302089_<35>

(8·10⁹⁹-53)/9 =

888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<99>

= 540203 · 1645471959409497705286510605992356371380553030784517836607514006565844486033748218519498945561_<94>

(8·10¹⁰⁰-53)/9 =

8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<100>

= 3 · 7 · 19 · 464150000284363039_<18> · 1507041735516869550667652497_<28> · 31848644054519671876480723316065622190919304563006099_<53>

(8·10¹⁰¹-53)/9 =

(8)₁₀₀3_<101>

= 25127 · 3330781 · 1096424753_<10> · 1152460578419_<13> · 130805086531487623_<18> · 6425859364900080397925784839669930544665664667265269_<52>

(8·10¹⁰²-53)/9 =

(8)₁₀₁3_<102>

= 8747 · 52951 · 1919173263301184808595091731699645921145210950466881034145975561329709779718773000669328708239_<94>

(8·10¹⁰³-53)/9 =

(8)₁₀₂3_<103>

= 3² · 788031141898649543681042532957562375605734387_<45> · 1253318896266004120732307247409748971026132787687630871801_<58> (Makoto Kamada / SNFS / 14:48:18:96)

(8·10¹⁰⁴-53)/9 =

(8)₁₀₃3_<104>

= 157 · 9071563 · 65306081 · 139427129 · 6854326641028463547132905492684590580222231159011639442039220890284458483626837_<79>

(8·10¹⁰⁵-53)/9 =

(8)₁₀₄3_<105>

= 167 · 263 · 397 · 253607 · 2102251 · 124240891 · 769616534329941925173687626044638561235390219330832930144250768740300567627057_<78>

(8·10¹⁰⁶-53)/9 =

(8)₁₀₅3_<106>

= 3 · 7 · 491 · 24611 · 951151185379_<12> · 112222498002921878433225899_<27> · 328161739560472091770108490723404051130618863369650368953063_<60>

(8·10¹⁰⁷-53)/9 =

(8)₁₀₆3_<107>

= 23 · 173 · 10099 · 1653287 · 64022818286975321_<17> · 1375107986478152177_<19> · 282371547501593647739_<21> · 53821325481840970402378381430641929383_<38>

(8·10¹⁰⁸-53)/9 =

(8)₁₀₇3_<108>

= 17 · 2974417 · 14876672857_<11> · 62061341941761995572429845113062312884976501_<44> · 19040121995677283351775619007905119414182187071_<47> (Makoto Kamada / GGNFS-0.50.2 / Total time: 1.8 hours (actual time: 3.1 hours))

(8·10¹⁰⁹-53)/9 =

(8)₁₀₈3_<109>

= 3 · 193 · 1087 · 176227 · 1440989351_<10> · 13829313049_<11> · 4021661768718493183373299442557694035413265749142803022148758566991873294120427_<79>

(8·10¹¹⁰-53)/9 =

(8)₁₀₉3_<110>

= 28813 · 82081409 · 407010677 · 92343938483190465225530731396105193050083442931094236355170841230148296143502261967653987_<89>

(8·10¹¹¹-53)/9 =

(8)₁₁₀3_<111>

= 29 · 1217 · 221353863031998826747867357993877_<33> · 266180891925588797128357472155541_<33> · 427459447248389092744682469012661163482183_<42> (Makoto Kamada / GGNFS-0.50.2 / Total time: 2.3 hours (actual time: 4.4 hours) for P42)

(8·10¹¹²-53)/9 =

(8)₁₁₁3_<112>

= 3³ · 7 · 125163360823_<12> · 19578583455491_<14> · 19192307382844878652206274119930269928101211584056824304230152758870394927862625366979_<86>

(8·10¹¹³-53)/9 =

(8)₁₁₂3_<113>

= 1163 · 13693 · 245447023 · 32326980397_<11> · 703471076335962988229793543556906683977467996916722917737316829489597848423074500938127_<87>

(8·10¹¹⁴-53)/9 =

(8)₁₁₃3_<114>

= 1011528898734447400210111073544323_<34> · 10598242759881902413936852172705829271_<38> · 82915422806132866288534004585777894097788951_<44> (Makoto Kamada / GGNFS 0.41.2 / Total time: 7.1 hours (actual time: 13.3 hours)) (Makoto Kamada / PPSIQS 1.1 / 0:36:25:43)

(8·10¹¹⁵-53)/9 =

(8)₁₁₄3_<115>

= 3 · 19417 · 15077508278724288643802533266343454796973_<41> · 10120792400295618920018935771778636552982369261684892579929151172167421_<71> (Makoto Kamada / GGNFS-0.50.2-k1 / Total time: 1.69 hours (actual time: 1.88 hours))

(8·10¹¹⁶-53)/9 =

(8)₁₁₅3_<116>

= 367 · 9043 · 95090691059444371_<17> · 70432600953289405607699156781551_<32> · 3999052930997618606487937766796750548209350357198059429827483_<61> (Sander Hoogendoorn / ggnfs-0.50.2-k1)

(8·10¹¹⁷-53)/9 =

(8)₁₁₆3_<117>

= 89 · 69447271 · 35555281959278360488127292667277_<32> · 4044810312396143794463348184833709654782980882148838408537911465131339725841_<76> (Makoto Kamada / GGNFS-0.61.3 / 2.25 hours)

(8·10¹¹⁸-53)/9 =

(8)₁₁₇3_<118>

= 3 · 7 · 19 · 228233 · 241565141 · 578704942589176822629197761530448010148528217_<45> · 698239940722979733212883687994620092969422992590640558217_<57> (Sander Hoogendoorn / GGNFS-0.60.6-unstable / 3.71 hours)

(8·10¹¹⁹-53)/9 =

(8)₁₁₈3_<119>

= 693067528197768966097_<21> · 3688141321031875085530966339219_<31> · 34774778472233038634802480317290819748570105174606061559450746718481_<68>

(8·10¹²⁰-53)/9 =

(8)₁₁₉3_<120>

= 1373 · 5195570920678859909491507_<25> · 124607350814926253458027656212638161248855761815707139121800581077256604294525779189399256053_<93>

(8·10¹²¹-53)/9 =

(8)₁₂₀3_<121>

= 3² · 987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987_<120>

(8·10¹²²-53)/9 =

(8)₁₂₁3_<122>

= 4657 · 15971 · 9148829 · 297320813 · 4827809083534124843321592349710763_<34> · 91005621608334442248646511271192948866304220688718076292235913339_<65> (Sander Hoogendoorn / GGNFS-0.60.6-unstable)

(8·10¹²³-53)/9 =

(8)₁₂₂3_<123>

= 67 · 97231 · 126378709486691_<15> · 13535322111533063331245267461_<29> · 7568993290426940795494449130943_<31> · 10538706032369311725596889499049202553504303_<44>

(8·10¹²⁴-53)/9 =

(8)₁₂₃3_<124>

= 3 · 7³ · 17 · 1003295831_<10> · 533252834868991076123023980274187_<33> · 949775583879503059080554641404277630343016126240250646001790651451482941038323_<78> (Greg Childers / GMP-ECM)

(8·10¹²⁵-53)/9 =

(8)₁₂₄3_<125>

= 83 · 383 · 619 · 40140051714723693674509_<23> · 1617387764872172982324268516123627_<34> · 69580553803633007114920480486810142828978681396742673009816691_<62> (Tyler Cadigan / PPSIQS / 32:18:07:48)

(8·10¹²⁶-53)/9 =

(8)₁₂₅3_<126>

= 181650851122063_<15> · 47779997009825364594464778334350093705527_<41> · 102415083220217550609994342087264735608014189248540563036727476735646283_<72> (Shusuke Kubota / GGNFS-0.72.6 / 6.12 hours on Celeron 2.5 GHz)

(8·10¹²⁷-53)/9 =

(8)₁₂₆3_<127>

= 3 · 59 · 149 · 6749874277_<10> · 57991263352978579583_<20> · 2241286020056888293589_<22> · 384177925182881007131934050472495782610499148607219449909107180592192929_<72>

(8·10¹²⁸-53)/9 =

(8)₁₂₇3_<128>

= 349 · 17333 · 280751 · 52339190543683686576233580128903479470530944931013811789418286579135289465149656221570947087201276308125743183287549_<116>

(8·10¹²⁹-53)/9 =

(8)₁₂₈3_<129>

= 23 · 34262114255019213954132320634252430467001059678740491_<53> · 1127990605235561490186653399925956982872495997102126478481856600490755451631_<76> (Shusuke Kubota / GGNFS-0.72.6 / 8.88 hours on Celeron 2.5 GHz)

(8·10¹³⁰-53)/9 =

(8)₁₂₉3_<130>

= 3² · 7 · 27127 · 251197 · 366375558614016565239659633233608049_<36> · 56515063342351620321680905137873953283066073678824245424934368291457909101738191911_<83> (Shusuke Kubota / GGNFS-0.72.6 / 5.36 hours on Celeron 2.5 GHz)

(8·10¹³¹-53)/9 =

(8)₁₃₀3_<131>

= 7177 · 229645713397_<12> · 53931958057387228923975450876704889181663262303265446963513802626824990974530248255467725680124018349675430313173007_<116>

(8·10¹³²-53)/9 =

(8)₁₃₁3_<132>

= 17326641585537557981615870955796887963391_<41> · 51301856998694947390609649390444756756272895777203065430121529570448470060695898268565572813_<92> (Shusuke Kubota / GGNFS-0.72.6 / 10.20 hours on Celeron 2.5GHz)

(8·10¹³³-53)/9 =

(8)₁₃₂3_<133>

= 3 · 269 · 68507 · 718906043 · 399094518450767_<15> · 560390928132622709973504655559042774371727231902614177157719495819466999485664807212794230689716032307_<102>

(8·10¹³⁴-53)/9 =

(8)₁₃₃3_<134>

= 15439 · 22601771 · 254733369319379688946119813703637585436209600432680700955103715894597625843633510987767860288276271859112526581239584816407_<123>

(8·10¹³⁵-53)/9 =

(8)₁₃₄3_<135>

= 233 · 313 · 12239 · 17453973181_<11> · 955065740876947098942395080400811076577942460584696099041_<57> · 59741168529733217947490811959269880754561650757713766107233_<59> (Shusuke Kubota / GGNFS-0.72.7 / 8.98 hours on Celeron 2.5 GHz)

(8·10¹³⁶-53)/9 =

(8)₁₃₅3_<136>

= 3 · 7 · 19 · 311 · 10776518697322390931117703197455067_<35> · 103229002732754319539664765982073337707_<39> · 64392305423677554109391485779344223405171210988042850438963_<59> (Shusuke Kubota / GMP-ECM 5.0.3 B1=1000000, sigma=2405151736 for P35) (Shusuke Kubota / GGNFS-0.72.7 14.94 hours on Celeron 2.5 GHz)

(8·10¹³⁷-53)/9 =

(8)₁₃₆3_<137>

= 7232764241177167586390447453_<28> · 12289753395089480968269138192228394041182009755251372196117827205610436987915162986578279906858061443284527311_<110>

(8·10¹³⁸-53)/9 =

(8)₁₃₇3_<138>

= 27529585543_<11> · 32288495135550936575496155441299841035129124061033775981277906334402997695318005713896950725659127983802966651472515736772379381_<128>

(8·10¹³⁹-53)/9 =

(8)₁₃₈3_<139>

= 3⁵ · 29 · 12479 · 944197409 · 3960885278494758967_<19> · 1603368278577343071227273704889_<31> · 16856797356598288373663039532187939403739453640268875790575005173821365973_<74> (Anton Korobeynikov / GGNFS-0.72.10 gnfs / 29.02 hours)

(8·10¹⁴⁰-53)/9 =

(8)₁₃₉3_<140>

= 17² · 97 · 4289 · 28623911 · 249169913 · 1231299142755349_<16> · 19897660101404087_<17> · 4230889627571934872710772378872230583687959892025983433067104480284117011815058015551_<85>

(8·10¹⁴¹-53)/9 =

(8)₁₄₀3_<141>

= 416023 · 281687699 · 1278124843336384517599_<22> · 5934566182006523277615018738496231252828254251548345238904738651105336333279347045314180133120575994980121_<106>

(8·10¹⁴²-53)/9 =

(8)₁₄₁3_<142>

= 3 · 7 · 47 · 109 · 12380995663_<11> · 33888609240438223080463262859555599851225968700234303_<53> · 196922123059548881537983688778111022921835799994407155301004448606279170909_<75> (Anton Korobeynikov / GGNFS-0.72.10 / 18.60 hours)

(8·10¹⁴³-53)/9 =

(8)₁₄₂3_<143>

= 3667227200797_<13> · 31195217569669_<14> · 18240780104079223_<17> · 265630684668980903549375638658543_<33> · 160361456385813263542897175749432102283006701269592744015233126854779_<69> (Anton Korobeynikov / GGNFS-0.72.10 gnfs / 19.99 hours)

(8·10¹⁴⁴-53)/9 =

(8)₁₄₃3_<144>

= 113 · 1547593 · 98874534329867327834323401408607_<32> · 51407658864286153022047140162406394772762482795020679173817766612605389163380654148507305308453154776341_<104> (Anton Korobeynikov / GGNFS-0.72.10 / 40.12 hours)

(8·10¹⁴⁵-53)/9 =

(8)₁₄₄3_<145>

= 3 · 215353 · 1241173 · 4097534978065638392870920007_<28> · 2705330367990388498856822954417617397550685065894074567941687766115659166820328663556029782204187827631267_<106>

(8·10¹⁴⁶-53)/9 =

(8)₁₄₅3_<146>

= 728438180100029837765392310287425021889_<39> · 122026674764195611505668346378276953546398986947584255245332154671358098505851142077656105459087163858440947_<108> (Anton Korobeynikov / GGNFS / 27 hours)

(8·10¹⁴⁷-53)/9 =

(8)₁₄₆3_<147>

= 811 · 291092595077_<12> · 3765264290596448073047787279385559680549309739165086049594987213404855347478553769315938603165934845616139619473294595676826585536389_<133>

(8·10¹⁴⁸-53)/9 =

(8)₁₄₇3_<148>

= 3² · 7 · 431 · 248738599 · 134896475509_<12> · 81297467634174116800523_<23> · 33362022211327796044904182030601554515509_<41> · 3597132922037104807822989294234113281590924432430024026595303_<61> (Chris Monico / GGNFS using GNFS / 23 hours on Athlon XP 2100)

(8·10¹⁴⁹-53)/9 =

(8)₁₄₈3_<149>

= 1861 · 13514951575044243763917103732007117716344962394343875524204173_<62> · 3534163282009924428294369966296326454301697272182259268062475743144415077846772117811_<85> (Anton Korobeynikov / GGNFS-0.72.10 / 70.81 hours)

(8·10¹⁵⁰-53)/9 =

(8)₁₄₉3_<150>

= 61 · 173 · 5911811 · 3977381638220226078712047067_<28> · 1262586736045044638972457650263_<31> · 180055297964424173888575711364616079_<36> · 15757474264116676493899622251753222363620467539_<47> (Greg Childers / GMP-ECM, PPSIQS)

(8·10¹⁵¹-53)/9 =

(8)₁₅₀3_<151>

= 3 · 23 · 94559 · 65487021712462432648231_<23> · 148532545251413448570727_<24> · 140061461360990549391995825282610895515301513894901255833031192673524051749217736119364723979458329_<99>

(8·10¹⁵²-53)/9 =

(8)₁₅₁3_<152>

= 38892376128496536485732797_<26> · 2285509339805026430325296479971396331731936411071089081476754338588167677785318036162039890493878106780399369948607227555403439_<127> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=2933986724 for P26 / Mar 3, 2005)

(8·10¹⁵³-53)/9 =

(8)₁₅₂3_<153>

= 4273 · 24499 · 144275176026267571_<18> · 48310061562639082516487_<23> · 1218251692091943684870032123996016795019884669806527004651729150829408389432891132903875346865471149790077_<106>

(8·10¹⁵⁴-53)/9 =

(8)₁₅₃3_<154>

= 3 · 7 · 19 · 2109117000218396790445988790435409265621492648171_<49> · 10562674812469988978662532655660065618933586481087912099926424984662629593973290757990833266941366306327_<104> (suberi / GGNFS-0.77.1-20060513-pentium4 / 53.54 hours on Pentium 4 2.24GHz, Windows XP and Cygwin / Feb 6, 2007)

(8·10¹⁵⁵-53)/9 =

(8)₁₅₄3_<155>

= 18089 · 36073 · 16710107 · 8152136185744682816056807415742881065505309550673248439331021694340650776333296741140066312146398745759720846771790309019523171834528433977_<139>

(8·10¹⁵⁶-53)/9 =

(8)₁₅₅3_<156>

= 17 · 67 · 1723 · 512558391416894469920990361025843583071_<39> · 883680207797077854491786259675284953644239544020825359606312622673009480184253210227866307594638649702739828909_<111> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 28.95 hours on Cygwin on AMD 64 3400+ / Apr 9, 2007)

(8·10¹⁵⁷-53)/9 =

(8)₁₅₆3_<157>

= 3² · 99259 · 298883603 · 412769895811232603033399_<24> · 91704661940135167282070266149538417976081_<41> · 879495360224213103544482307466419072309436217083572482010934548798414923507149_<78> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 62.70 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jun 21, 2007)

(8·10¹⁵⁸-53)/9 =

(8)₁₅₇3_<158>

= 367139 · 320270335416835603_<18> · 408846783609513406549573_<24> · 1849011689344895232109664860608643758883380677805980020880456270272636081686815382223180290804023296984480726063_<112>

(8·10¹⁵⁹-53)/9 =

(8)₁₅₈3_<159>

= 480451 · 4208429 · 104033087 · 13728238483_<11> · 316712295015730221860570435349138324870013_<42> · 971912454296354051931961805793739631984439234627451326067513307017004518364331228609949_<87> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 36.09 hours on Core 2 Quad Q6600 / Oct 10, 2007)

(8·10¹⁶⁰-53)/9 =

(8)₁₅₉3_<160>

= 3 · 7 · 10506169591_<11> · 17806153663813153_<17> · 2262630614047707448075237661471968003735262682057770053330769463420832544500109221463146601998915553265939783508905972610496729950001_<133>

(8·10¹⁶¹-53)/9 =

(8)₁₆₀3_<161>

= 89 · 3212570821_<10> · 310888573730625114926337166985732044936105086409086701187196515043371699310367641810788923888802280487168699902798098226494814023339160108607781354607_<150>

(8·10¹⁶²-53)/9 =

(8)₁₆₁3_<162>

= 5669 · 48821 · 3211695400362523570888475237776875347574945414998520606784279136900427800677707955961382014065193653323273853702041858756010704502082870982179943801199867_<154>

(8·10¹⁶³-53)/9 =

(8)₁₆₂3_<163>

= 3 · 2087570567_<10> · 1901722501401858363651894167934894678547_<40> · 746342052674360387307334925536045196341796871193013347158150552642871903024652042586940759722677149467693386559389_<114> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 67.10 hours on Cygwin on AMD 64 3200+ / Aug 6, 2007)

(8·10¹⁶⁴-53)/9 =

(8)₁₆₃3_<164>

= 487 · 829 · 621427 · 50062409413_<11> · 10552075865478615703_<20> · 670693680850294058583045564440811433157127429207304556207612967674325541071407510160004968929773312338267620339877369623057_<123>

(8·10¹⁶⁵-53)/9 =

(8)₁₆₄3_<165>

= 6403993 · 350982021485651168585060151283338980210340619_<45> · 395468373808917744465660761189260784883193175621159446317143996419722368165129799067011823208112320581081097991649_<114> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.28 / Oct 21, 2007)

(8·10¹⁶⁶-53)/9 =

(8)₁₆₅3_<166>

= 3³ · 7² · 83 · 259003866042429679_<18> · 312538335102130087617328673687408061180485989510113731179412057992233172042262346029248715003882243700251890485539533016826369030105571956085453_<144>

(8·10¹⁶⁷-53)/9 =

(8)₁₆₆3_<167>

= 29 · 1433 · 394093867 · 1301516536351_<13> · 260715664546747_<15> · 15995094009625459232231602813862210645059672870736389448142164755670577774551918907210778948626889201865245002386520003165660881_<128>

(8·10¹⁶⁸-53)/9 =

(8)₁₆₇3_<168>

= 115509593 · 4168773560957646476042689_<25> · 496029423131682367523442139895210347_<36> · 3721462779361461935113578380790887976223197458450833632455359550260813918839667749389547619007630657_<100> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 143.40 hours / Jun 14, 2008)

(8·10¹⁶⁹-53)/9 =

(8)₁₆₈3_<169>

= 3 · 455282115869237_<15> · 6507971342792574834326566049486573110400795366621214191265208392800949396463430399477212305632935680004708402135915762066660478616484217729058104987958253_<154>

(8·10¹⁷⁰-53)/9 =

(8)₁₆₉3_<170>

= 320125693285593749063_<21> · 23559899128668130997812153260935382432418417441_<47> · 11785649435366880973726668861597007737603372223460325079320068596433820581085450083045755315594565351701_<104> (Ignacio Santos / GGNFS, Msieve snfs / 49.08 hours / Mar 27, 2009)

(8·10¹⁷¹-53)/9 =

(8)₁₇₀3_<171>

= 25109735359_<11> · 10138516806651005763470981_<26> · 3491651709823473039251000477887091026517361858994091737984796603545609005895223279937174065580623834333533343078627533728446229847695977_<136>

(8·10¹⁷²-53)/9 =

(8)₁₇₁3_<172>

= 3 · 7 · 17 · 19 · 739 · 1530721 · 18210329 · [63616151059448344057594636891100636407831511205135552367798619650654780752786002498411683774793207019413490574485517559732167544208283224904732018743751_<152>] SUBMIT/RESERVE

(8·10¹⁷³-53)/9 =

(8)₁₇₂3_<173>

= 23 · 199 · 1063 · 18269779279827681268810593293040705365119369371066730620029035703464948138148488955655797267019150085757202078306146645717624255452255939784999867201541859752541777333_<167>

(8·10¹⁷⁴-53)/9 =

(8)₁₇₃3_<174>

= 2309 · 28200513448768426338019164149_<29> · [13651064825355236966422593727849148145450828300351719858603135500864608496173059635187685618753649483887590160393912399962653031892990513454363_<143>] (matsuix / GMP-ECM 6.0 B1=4194304, sigma=1262947517 for P29 / Nov 8, 2007) SUBMIT/RESERVE

(8·10¹⁷⁵-53)/9 =

(8)₁₇₄3_<175>

= 3² · 1910179 · 384304867 · 1345411133707087724129256616941088349757533895074875326452877427309670706816962632554377404587709637801838093667798818035637167862972436638998609343806616664259_<160>

(8·10¹⁷⁶-53)/9 =

(8)₁₇₅3_<176>

= 1223 · 115946317014790045316334271_<27> · [626850623975199368739061266916584673266498641454891369233214304469197465140181029902432636925153343871485895873719033587714547255570205894780368651_<147>] SUBMIT/RESERVE

(8·10¹⁷⁷-53)/9 =

(8)₁₇₆3_<177>

= 125399 · 4281919116316707152351160271644136591660758660269_<49> · 1655445718495538671619999369350006699248872472048836636523424165681830716062409891277817279130004176653121465148247908459193_<124> (Ignacio Santos / GGNFS, Msieve snfs / 82.71 hours / Mar 5, 2009)

(8·10¹⁷⁸-53)/9 =

(8)₁₇₇3_<178>

= 3 · 7 · 580033 · 4121233246377533370895087_<25> · 11414389645507504885866557_<26> · 2084319019311817485408263671504067644597211773621536836338031_<61> · 7442715191706727951117023466133424089625836289964455009349139_<61> (Serge Batalov / Msieve 1.36 gnfs for P61 x P61 / 43.00 hours on Opteron-2.6GHz; Linux x86_64 / Aug 12, 2008)

(8·10¹⁷⁹-53)/9 =

(8)₁₇₈3_<179>

= 2491081 · [35682857718752978682302538090447034395464815832519652668415394316318453269439608302134249704802408628578873544814034103623643265268728270533510909074770707531745811914140443_<173>] SUBMIT/RESERVE

(8·10¹⁸⁰-53)/9 =

(8)₁₇₉3_<180>

= 47057 · 9614909 · 268782241627_<12> · 7309328680259901537124142159403094219771235082953187726472001348548066500808232130936925057904189723635466469660871478961240453410208538574120554694485401133_<157>

(8·10¹⁸¹-53)/9 =

(8)₁₈₀3_<181>

= 3 · 3373 · 104548979020861334868919_<24> · 12499821320686222156090511981140217_<35> · 672181074501094515150749049807572101902956191960026465193303607551381843935978711469108196973715165015264234761959682059_<120> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=1439701945 for P35 / Feb 15, 2009)

(8·10¹⁸²-53)/9 =

(8)₁₈₁3_<182>

= 157 · 499 · 22385351 · 20927507877603562216772481531959930821_<38> · 2421953813812902991229062272111059316848736284277459734782495754095937631298254836200644777053879601560333590388382682997464506923911_<133> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=2787302746 for P38 / Feb 14, 2009)

(8·10¹⁸³-53)/9 =

(8)₁₈₂3_<183>

= 3237107 · 1752266803314196903_<19> · 1156161725742658540469143_<25> · 135541285789877709544525047461115281424811619882007253060129277980801146230833152724286664669263876574741134730710854177532480471575361_<135>

(8·10¹⁸⁴-53)/9 =

(8)₁₈₃3_<184>

= 3² · 7 · 6637 · 59377 · 90065296430573975747_<20> · 67475797886411273729109827_<26> · [58913028362753951237802316734583805710571858745928990357031746550974040556656806255122874946114335569783560475087229302800294761_<128>] (Makoto Kamada / GMP-ECM 6.0.1 B1=11000000, sigma=2608337868 for P26 / May 8, 2005) SUBMIT/RESERVE

(8·10¹⁸⁵-53)/9 =

(8)₁₈₄3_<185>

= 59 · 409 · 5160782549960655677_<19> · 10595729032737136297_<20> · [67363672228209931559264930575957407518913418286769329771977157258766266739076661135150184356655683062574710999782670834737989414117022919651997_<143>] SUBMIT/RESERVE

(8·10¹⁸⁶-53)/9 =

(8)₁₈₅3_<186>

= 283 · 531281 · 3866034803219089_<16> · [1529223622066560729347442721512153715527805029641186909010312887396488787268733635110405666843698819928675827184807714273131075060408605995089983293782303747539689_<163>] SUBMIT/RESERVE

(8·10¹⁸⁷-53)/9 =

(8)₁₈₆3_<187>

= 3 · 65927 · 33661309452838083531456118279_<29> · 1335155664958253250273310571770226555784008718151584591289449183947536261733957692628537771164484207928322985673171194894465803155338743176155395470232417_<154>

(8·10¹⁸⁸-53)/9 =

(8)₁₈₇3_<188>

= 17 · 47 · 16759 · 118297 · 1148991955021_<13> · 48838450690742195864590390940978721311514980722247825859456008286589829926358098163578321788811396190162550814551626133903678449630480368311422094845857026544747199_<164>

(8·10¹⁸⁹-53)/9 =

(8)₁₈₈3_<189>

= 67 · 3715079 · 3805037 · 5562883 · 264803101224449082168597348476311611311_<39> · 637122209537919103959346621143746198671213839806088223842581849059827407105588908456565553663175429328843741231582163026217491951_<129> (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=1970532011 for P39 / Feb 15, 2009)

(8·10¹⁹⁰-53)/9 =

(8)₁₈₉3_<190>

= 3 · 7 · 19 · 563 · 1394260129_<10> · 28380652674898138193096178555323413262588210231812363596660270672448795828360911032354238874547545817061459171839917604759346027951970552866543081951266115820507099383987808271_<176>

(8·10¹⁹¹-53)/9 =

(8)₁₉₀3_<191>

= 941 · 94462156098712953123155036013697012634313378202857480221986066831975439839414334632187979690636438776715078521667257055142283622623686385641752272995631125280434525918054079584366513165663_<188>

(8·10¹⁹²-53)/9 =

(8)₁₉₁3_<192>

= 9232050345772927_<16> · 96282933432645747773984253440418880409598356117991821922812296356206162901202801880534037624961993942586097302833506640598989833789801920066028264300806719728482942261220062029_<176>

(8·10¹⁹³-53)/9 =

(8)₁₉₂3_<193>

= 3³ · 173 · 949241 · 5681975522884023901676531_<25> · 6860630878636672066533007_<25> · 51427772007275766890652210777274581420975465909841259571446441409128082204592225214593072952539959098216640743027553089926094514136409_<134>

(8·10¹⁹⁴-53)/9 =

(8)₁₉₃3_<194>

= 673 · 25447 · 32737883 · 710382683 · 3776986388369_<13> · [59089109559203584499402517798606987189702032652581942799441135940768233271867622323300652019939998844948584884674844827222162948671566879128170782946245083373_<158>] SUBMIT/RESERVE

(8·10¹⁹⁵-53)/9 =

(8)₁₉₄3_<195>

= 23 · 29 · 144590681557580521442564517528323_<33> · [9216824939736569669228358640580173977056399699297573655614497386963756277829507934369338603231828859333521137520519483912139878643422967809749001298287897524163_<160>] (matsui / GMP-ECM 6.0 B1=34782088, sigma=895239001 for P33 / Jan 15, 2008) SUBMIT/RESERVE

(8·10¹⁹⁶-53)/9 =

(8)₁₉₅3_<196>

= 3 · 7 · 192677 · 32741771 · 19536251307311_<14> · [3434431883201160201606177162442326661694856574546343777564698786209367278733668901776883853370471145742600725671401563676302248544617618937028990611910784593255217747679_<169>] SUBMIT/RESERVE

(8·10¹⁹⁷-53)/9 =

(8)₁₉₆3_<197>

= 68310595237_<11> · 254397351193_<12> · 37046407586616089_<17> · 249403557009699331_<18> · [553602546480005056888480441161597363516053570993706554664481990001757808770310755401078079964252211547502588607869589223952001871073633018957_<141>] SUBMIT/RESERVE

(8·10¹⁹⁸-53)/9 =

(8)₁₉₇3_<198>

= 443² · 509 · 54001 · 781721 · 23743506773317561028947_<23> · 2580754674706962971246952203_<28> · 32368523515701041820822572173_<29> · 106280646441674238900428385238379104570468681385301477094082044361402629538958719229812675579724825371_<102> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1884473842 for P28 / Sep 22, 2008) (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3529257140 for P29 / Sep 23, 2008)

(8·10¹⁹⁹-53)/9 =

(8)₁₉₈3_<199>

= 3 · 834013 · 16393279924453_<14> · 7404620356714498170067_<22> · [29267440980507010556933695229029816157440038400534564683353293698316854153689305270126260599188980059737528065689610441144910413984664951334898643631093607547_<158>] SUBMIT/RESERVE

(8·10²⁰⁰-53)/9 =

(8)₁₉₉3_<200>

= 25980181 · 8205239444680409709601_<22> · 416978868020712136144586520989522982446662255174957017784543326292013942199623356577966753908026492378111996765012114752307745820539133267877736873223567375398090858390343_<171>

4. References

• A056694 (On-Line Encyclopedia of Integer Sequences)
• A093166 (On-Line Encyclopedia of Integer Sequences)