(Translated by https://www.hiragana.jp/)
Factorization of 11...11 (Repunit)
11...11 (Repunit) 11...11 (レピュニット) | 100...001 | Φn(10)
Download: ダウンロード: Phin10.txt (15400KB) | Phin10.txt.lz (6249KB) | Phin10.txt.gz (7114KB)
Download ex: ダウンロード ex: Phin10ex.txt (37936KB) | Phin10ex.txt.lz (11486KB) | Phin10ex.txt.gz (14478KB)
Appendix: 付録ふろく: PRP factors おそらく素数そすう因数いんすう (80KB) | Repunit note レピュニットノート (713KB)
Changes: 更新こうしん履歴りれき: Recent changes 最近さいきん更新こうしん (49KB) | Past changes 過去かこ更新こうしんPast changes 過去かこ更新こうしん
2024 2024 ねん July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2023 2023 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2022 2022 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2021 2021 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2020 2020 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2019 2019 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2018 2018 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2017 2017 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2016 2016 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2015 2015 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2014 2014 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2013 2013 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2012 2012 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2011 2011 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2010 2010 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2009 2009 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2008 2008 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2007 2007 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2006 2006 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2005 2005 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2004 2004 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ August 8 がつ July 7 がつ June 6 がつ May 5 がつ April 4 がつ March 3 がつ February 2 がつ January 1 がつ
2003 2003 ねん December 12 がつ November 11 がつ October 10 がつ September 9 がつ
Summary 概要がいよう
Last updated: 最終さいしゅう更新こうしん:
Thu, 22 Aug 2024 08:59:42 GMT 2024 ねん 8 がつ 22 にち (木)もく 17 59 ふん 42 びょう (日本にっぽん時間じかん)
Status: 状態じょうたい:
1273 of 300000 Φn(10) factorizations were finished. 300000 ちゅう 1273 Φn(10) の素因数そいんすう分解ぶんかいわりました。
213287 of 300000 Φn(10) factorizations were cracked. 300000 ちゅう 213287 Φn(10) の素因数そいんすうつかりました。
130 of 25997 Rprime factorizations were finished. 25997 ちゅう 130 の Rprime素因数そいんすう分解ぶんかいわりました。
20066 of 25997 Rprime factorizations were cracked. 25997 ちゅう 20066 の Rprime素因数そいんすうつかりました。
387449 (probable) prime factors were discovered. 387449 の (おそらく) 素数そすう因数いんすうつかりました。
293423 composite factors are remaining. 293423 合成ごうせいすう因数いんすうのこっています。
12662 factors are unidentified. 12662 因数いんすう確定かくていです。
Editor: 編集へんしゅうしゃ:
Makoto Kamada
Sources: 情報じょうほうげん:
Kurt Beschorner
Richard Brent
Torbjörn Granlund
Wilfrid Keller
Yousuke Koide
Sam Wagstaff
Paul Zimmermann
NFS@Home
yoyo@home
Henri & Renaud Lifchitz
Φn(10) which is hoped to be factored 分解ぶんかい期待きたいされる Φn(10)
First composite factor: 最初さいしょ合成ごうせいすう因数いんすう:
n=353 (c328), n=377 (c311), n=383 (c230), n=389 (c270), n=391 (c312),
n=401 (c308), n=403 (c333), n=407 (c216), n=409 (c320), n=413 (c337)
Smallest composite factor: 最小さいしょう合成ごうせいすう因数いんすう:
n=2100L (c215), n=407 (c216), n=675 (c216), n=1104 (c217), n=2820M (c219),
n=2460L (c220), n=1290 (c220), n=735 (c228), n=990 (c229), n=383 (c230)
First blank Φn(10): 素因数そいんすうつかっていない最初さいしょΦn(10):
n=509 (c509), n=557 (c557), n=589 (c540), n=647 (c647), n=657 (c432),
n=671 (c600), n=807 (c536), n=808 (c400), n=835 (c664), n=901 (c832)
Smallest blank Φn(10): 素因数そいんすうつかっていない最小さいしょうΦn(10):
n=920 (c353), n=808 (c400), n=1078 (c421), n=657 (c432), n=1512 (c433),
n=1022 (c433), n=1338 (c445), n=2260L (c448), n=1362 (c453), n=922 (c460)
Smallest blank Rprime: 素因数そいんすうつかっていない最小さいしょうの Rprime:
n=509 (c509), n=557 (c557), n=647 (c647), n=991 (c991), n=1117 (c1117),
n=1259 (c1259), n=1447 (c1447), n=1607 (c1607), n=1637 (c1637), n=1663 (c1663)
Φn(10) has the biggest parcentage of factored part: 分解ぶんかいされた部分ぶぶん割合わりあい最大さいだいΦn(10):
n=503 (c269), n=2420L (c246), n=2820M (c219), n=407 (c216), n=675 (c216),
n=383 (c230), n=1104 (c217), n=884 (c249), n=485 (c251), n=1290 (c220)
Format 表示ひょうじ形式けいしき
Rn = 10n-19=value... ...<length> <桁数けたすう>=(probable) prime factor... (おそらく) 素数そすう因数いんすう...<length> <桁数けたすう>exponent 指数しすう
[composite factor... 合成ごうせいすう因数いんすう...<length> <桁数けたすう>]
(unidentified factor... 確定かくてい因数いんすう...<length> <桁数けたすう>)
×...(percentage of factored part) (分解ぶんかいされた部分ぶぶん割合わりあい)

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R1 = 101-19 = 1
R2 = 102-19 = 11 = 11 (100.00%)
R3 = 103-19 = 111 = 3 × 37 (100.00%)
R4 = 104-19 = 1111 = 11 × 101 (100.00%)
R5 = 105-19 = 11111 = 41 × 271 (100.00%)
R6 = 106-19 = 111111 = 3 × 7 × 11 × 13 × 37 (100.00%)
R7 = 107-19 = 1111111 = 239 × 4649 (100.00%)
R8 = 108-19 = 11111111 = 11 × 73 × 101 × 137 (100.00%)
R9 = 109-19 = 111111111 = 32 × 37 × 333667 (100.00%)
R10 = 1010-19 = 1111111111<10> = 11 × 41 × 271 × 9091 (100.00%)
R11 = 1011-19 = 11111111111<11> = 21649 × 513239 (100.00%)
R12 = 1012-19 = 111111111111<12> = 3 × 7 × 11 × 13 × 37 × 101 × 9901 (100.00%)
R13 = 1013-19 = 1111111111111<13> = 53 × 79 × 265371653 (100.00%)
R14 = 1014-19 = 11111111111111<14> = 11 × 239 × 4649 × 909091 (100.00%)
R15 = 1015-19 = 111111111111111<15> = 3 × 31 × 37 × 41 × 271 × 2906161 (100.00%)
R16 = 1016-19 = 1111111111111111<16> = 11 × 17 × 73 × 101 × 137 × 5882353 (100.00%)
R17 = 1017-19 = 11111111111111111<17> = 2071723 × 5363222357<10>(100.00%)
R18 = 1018-19 = 111111111111111111<18> = 32 × 7 × 11 × 13 × 19 × 37 × 52579 × 333667 (100.00%)
R19 = 1019-19 = 1111111111111111111<19> = 1111111111111111111<19>(100.00%)
R20 = 1020-19 = 11111111111111111111<20> = 11 × 41 × 101 × 271 × 3541 × 9091 × 27961 (100.00%)
R21 = 1021-19 = 111111111111111111111<21> = 3 × 37 × 43 × 239 × 1933 × 4649 × 10838689 (100.00%)
R22 = 1022-19 = 1111111111111111111111<22> = 112 × 23 × 4093 × 8779 × 21649 × 513239 (100.00%)
R23 = 1023-19 = 11111111111111111111111<23> = 11111111111111111111111<23>(100.00%)
R24 = 1024-19 = 111111111111111111111111<24> = 3 × 7 × 11 × 13 × 37 × 73 × 101 × 137 × 9901 × 99990001 (100.00%)
R25 = 1025-19 = 1111111111111111111111111<25> = 41 × 271 × 21401 × 25601 × 182521213001<12>(100.00%)
R26 = 1026-19 = 11111111111111111111111111<26> = 11 × 53 × 79 × 859 × 265371653 × 1058313049<10>(100.00%)
R27 = 1027-19 = 111111111111111111111111111<27> = 33 × 37 × 757 × 333667 × 440334654777631<15>(100.00%)
R28 = 1028-19 = 1111111111111111111111111111<28> = 11 × 29 × 101 × 239 × 281 × 4649 × 909091 × 121499449 (100.00%)
R29 = 1029-19 = 11111111111111111111111111111<29> = 3191 × 16763 × 43037 × 62003 × 77843839397<11>(100.00%)
R30 = 1030-19 = 111111111111111111111111111111<30> = 3 × 7 × 11 × 13 × 31 × 37 × 41 × 211 × 241 × 271 × 2161 × 9091 × 2906161 (100.00%)
R31 = 1031-19 = 1111111111111111111111111111111<31> = 2791 × 6943319 × 57336415063790604359<20>(100.00%)
R32 = 1032-19 = 11111111111111111111111111111111<32> = 11 × 17 × 73 × 101 × 137 × 353 × 449 × 641 × 1409 × 69857 × 5882353 (100.00%)
R33 = 1033-19 = 111111111111111111111111111111111<33> = 3 × 37 × 67 × 21649 × 513239 × 1344628210313298373<19>(100.00%)
R34 = 1034-19 = 1111111111111111111111111111111111<34> = 11 × 103 × 4013 × 2071723 × 5363222357<10> × 21993833369<11>(100.00%)
R35 = 1035-19 = 11111111111111111111111111111111111<35> = 41 × 71 × 239 × 271 × 4649 × 123551 × 102598800232111471<18>(100.00%)
R36 = 1036-19 = 111111111111111111111111111111111111<36> = 32 × 7 × 11 × 13 × 19 × 37 × 101 × 9901 × 52579 × 333667 × 999999000001<12>(100.00%)
R37 = 1037-19 = 1111111111111111111111111111111111111<37> = 2028119 × 247629013 × 2212394296770203368013<22>(100.00%)
R38 = 1038-19 = 11111111111111111111111111111111111111<38> = 11 × 909090909090909091<18> × 1111111111111111111<19>(100.00%)
R39 = 1039-19 = 111111111111111111111111111111111111111<39> = 3 × 37 × 53 × 79 × 265371653 × 900900900900990990990991<24>(100.00%)
R40 = 1040-19 = 1111111111111111111111111111111111111111<40> = 11 × 41 × 73 × 101 × 137 × 271 × 3541 × 9091 × 27961 × 1676321 × 5964848081<10>(100.00%)
R41 = 1041-19 = 1111111111111111111111111111111111111111­1<41> = 83 × 1231 × 538987 × 201763709900322803748657942361<30>(100.00%)
R42 = 1042-19 = 1111111111111111111111111111111111111111­11<42> = 3 × 72 × 11 × 13 × 37 × 43 × 127 × 239 × 1933 × 2689 × 4649 × 459691 × 909091 × 10838689 (100.00%)
R43 = 1043-19 = 1111111111111111111111111111111111111111­111<43> = 173 × 1527791 × 1963506722254397<16> × 2140992015395526641<19>(100.00%)
R44 = 1044-19 = 1111111111111111111111111111111111111111­1111<44> = 112 × 23 × 89 × 101 × 4093 × 8779 × 21649 × 513239 × 1052788969<10> × 1056689261<10>(100.00%)
R45 = 1045-19 = 1111111111111111111111111111111111111111­11111<45> = 32 × 31 × 37 × 41 × 271 × 238681 × 333667 × 2906161 × 4185502830133110721<19>(100.00%)
R46 = 1046-19 = 1111111111111111111111111111111111111111­111111<46> = 11 × 47 × 139 × 2531 × 549797184491917<15> × 11111111111111111111111<23>(100.00%)
R47 = 1047-19 = 1111111111111111111111111111111111111111­1111111<47> = 35121409 × 316362908763458525001406154038726382279<39>(100.00%)
R48 = 1048-19 = 1111111111111111111111111111111111111111­11111111<48> = 3 × 7 × 11 × 13 × 17 × 37 × 73 × 101 × 137 × 9901 × 5882353 × 99990001 × 9999999900000001<16>(100.00%)
R49 = 1049-19 = 1111111111111111111111111111111111111111­111111111<49> = 239 × 4649 × 505885997 × 1976730144598190963568023014679333<34>(100.00%)
R50 = 1050-19 = 1111111111111111111111111111111111111111­1111111111<50> = 11 × 41 × 251 × 271 × 5051 × 9091 × 21401 × 25601 × 182521213001<12> × 78875943472201<14>(100.00%)
R51 = 1051-19 = 1111111111111111111111111111111111111111­11111111111<51> = 3 × 37 × 613 × 210631 × 2071723 × 52986961 × 5363222357<10> × 13168164561429877<17>(100.00%)
R52 = 1052-19 = 1111111111111111111111111111111111111111­111111111111<52> = 11 × 53 × 79 × 101 × 521 × 859 × 265371653 × 1058313049<10> × 1900381976777332243781<22>(100.00%)
R53 = 1053-19 = 1111111111111111111111111111111111111111­1111111111111<53> = 107 × 1659431 × 1325815267337711173<19> × 47198858799491425660200071<26>(100.00%)
R54 = 1054-19 = 1111111111111111111111111111111111111111­11111111111111<54> = 33 × 7 × 11 × 13 × 19 × 37 × 757 × 52579 × 333667 × 70541929 × 14175966169<11> × 440334654777631<15>(100.00%)
R55 = 1055-19 = 1111111111111111111111111111111111111111­111111111111111<55> = 41 × 271 × 1321 × 21649 × 62921 × 513239 × 83251631 × 1300635692678058358830121<25>(100.00%)
R56 = 1056-19 = 1111111111111111111111111111111111111111­1111111111111111<56> = 11 × 29 × 73 × 101 × 137 × 239 × 281 × 4649 × 7841 × 909091 × 121499449 × 127522001020150503761<21>(100.00%)
R57 = 1057-19 = 1111111111111111111111111111111111111111­11111111111111111<57> = 3 × 37 × 21319 × 10749631 × 1111111111111111111<19> × 3931123022305129377976519<25>(100.00%)
R58 = 1058-19 = 1111111111111111111111111111111111111111­111111111111111111<58> = 11 × 59 × 3191 × 16763 × 43037 × 62003 × 77843839397<11> × 154083204930662557781201849<27>(100.00%)
R59 = 1059-19 = 1111111111111111111111111111111111111111­1111111111111111111<59> = 2559647034361<13> × 4340876285657460212144534289928559826755­746751<46>(100.00%)
R60 = 1060-19 = 1111111111111111111111111111111111111111­11111111111111111111<60> = 3 × 7 × 11 × 13 × 31 × 37 × 41 × 61 × 101 × 211 × 241 × 271 × 2161 × 3541 × 9091 × 9901 × 27961 × 2906161 × 4188901 × 39526741 (100.00%)
R61 = 1061-19 = 1111111111111111111111111111111111111111­111111111111111111111<61> = 733 × 4637 × 329401 × 974293 × 1360682471<10> × 106007173861643<15> × 7061709990156159479<19>(100.00%)
R62 = 1062-19 = 1111111111111111111111111111111111111111­1111111111111111111111<62> = 11 × 2791 × 6943319 × 57336415063790604359<20> × 909090909090909090909090909091<30>(100.00%)
R63 = 1063-19 = 1111111111111111111111111111111111111111­11111111111111111111111<63> = 32 × 37 × 43 × 239 × 1933 × 4649 × 10837 × 23311 × 45613 × 333667 × 10838689 × 45121231 × 1921436048294281<16>(100.00%)
R64 = 1064-19 = 1111111111111111111111111111111111111111­111111111111111111111111<64> = 11 × 17 × 73 × 101 × 137 × 353 × 449 × 641 × 1409 × 19841 × 69857 × 976193 × 5882353 × 6187457 × 834427406578561<15>(100.00%)
R65 = 1065-19 = 1111111111111111111111111111111111111111­1111111111111111111111111<65> = 41 × 53 × 79 × 271 × 265371653 × 162503518711<12> × 5538396997364024056286510640780600481<37>(100.00%)
R66 = 1066-19 = 1111111111111111111111111111111111111111­11111111111111111111111111<66> = 3 × 7 × 112 × 13 × 23 × 37 × 67 × 4093 × 8779 × 21649 × 513239 × 599144041 × 183411838171<12> × 1344628210313298373<19>(100.00%)
R67 = 1067-19 = 1111111111111111111111111111111111111111­111111111111111111111111111<67> = 493121 × 79863595778924342083<20> × 2821338094317666700126315366099917724567­7<41>(100.00%)
R68 = 1068-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111<68> = 11 × 101 × 103 × 4013 × 2071723 × 28559389 × 1491383821<10> × 5363222357<10> × 21993833369<11> × 2324557465671829<16>(100.00%)
R69 = 1069-19 = 1111111111111111111111111111111111111111­11111111111111111111111111111<69> = 3 × 37 × 277 × 203864078068831<15> × 11111111111111111111111<23> × 1595352086329224644348978893<28>(100.00%)
R70 = 1070-19 = 1111111111111111111111111111111111111111­111111111111111111111111111111<70> = 11 × 41 × 71 × 239 × 271 × 4649 × 9091 × 123551 × 909091 × 4147571 × 102598800232111471<18> × 265212793249617641<18>(100.00%)
R71 = 1071-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111<71> = 241573142393627673576957439049<30> × 4599481134788684631022172889522303430183­9<41>(100.00%)
R72 = 1072-19 = 1111111111111111111111111111111111111111­11111111111111111111111111111111<72> = 32 × 7 × 11 × 13 × 19 × 37 × 73 × 101 × 137 × 3169 × 9901 × 52579 × 98641 × 333667 × 99990001 × 999999000001<12> × 3199044596370769<16>(100.00%)
R73 = 1073-19 = 1111111111111111111111111111111111111111­111111111111111111111111111111111<73> = 12171337159<11> × 1855193842151350117<19> × 4920734163464632693400173948250213148744­6637<44>(100.00%)
R74 = 1074-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111<74> = 11 × 7253 × 2028119 × 247629013 × 422650073734453<15> × 296557347313446299<18> × 2212394296770203368013<22>(100.00%)
R75 = 1075-19 = 1111111111111111111111111111111111111111­11111111111111111111111111111111111<75> = 3 × 31 × 37 × 41 × 151 × 271 × 4201 × 21401 × 25601 × 2906161 × 182521213001<12> × 15763985553739191709164170940063151<35>(100.00%)
R76 = 1076-19 = 1111111111111111111111111111111111111111­111111111111111111111111111111111111<76> = 11 × 101 × 722817036322379041<18> × 909090909090909091<18> × 1111111111111111111<19> × 1369778187490592461<19>(100.00%)
R77 = 1077-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111<77> = 239 × 4649 × 5237 × 21649 × 42043 × 513239 × 29920507 × 1366146685760023293714964475559157409101­81043<45>(100.00%)
R78 = 1078-19 = 1111111111111111111111111111111111111111­11111111111111111111111111111111111111<78> = 3 × 7 × 11 × 132 × 37 × 53 × 79 × 157 × 859 × 6397 × 216451 × 265371653 × 1058313049<10> × 388847808493<12> × 900900900900990990990991<24>(100.00%)
R79 = 1079-19 = 1111111111111111111111111111111111111111­111111111111111111111111111111111111111<79> = 317 × 6163 × 10271 × 307627 × 49172195536083790769<20> × 3660574762725521461527140564875080461079­917<43>(100.00%)
R80 = 1080-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111<80> = 11 × 17 × 41 × 73 × 101 × 137 × 271 × 3541 × 9091 × 27961 × 1676321 × 5070721 × 5882353 × 5964848081<10> × 19721061166646717498359681<26>(100.00%)
R81 = 1081-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­1<81> = 34 × 37 × 163 × 757 × 9397 × 333667 × 2462401 × 440334654777631<15> × 676421558270641<15> × 130654897808007778425046117<27>(100.00%)
R82 = 1082-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­11<82> = 11 × 83 × 1231 × 538987 × 2670502781396266997<19> × 3404193829806058997303<22> × 201763709900322803748657942361<30>(100.00%)
R83 = 1083-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­111<83> = 3367147378267<13> × 9512538508624154373682136329<28> × 3468957163858578045447411373945054253844­77<42>(100.00%)
R84 = 1084-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­1111<84> = 3 × 72 × 11 × 13 × 29 × 37 × 43 × 101 × 127 × 239 × 281 × 1933 × 2689 × 4649 × 9901 × 226549 × 459691 × 909091 × 10838689 × 121499449 × 4458192223320340849<19>(100.00%)
R85 = 1085-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­11111<85> = 41 × 271 × 2071723 × 262533041 × 5363222357<10> × 8119594779271<13> × 4222100119405530170179331190291488789678­081<43>(100.00%)
R86 = 1086-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­111111<86> = 11 × 173 × 1527791 × 57009401 × 2182600451<10> × 1963506722254397<16> × 2140992015395526641<19> × 7306116556571817748755241<25>(100.00%)
R87 = 1087-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­1111111<87> = 3 × 37 × 3191 × 4003 × 16763 × 43037 × 62003 × 72559 × 77843839397<11> × 3101702516580297590451577932373394983427­63245483<48>(100.00%)
R88 = 1088-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­11111111<88> = 112 × 23 × 73 × 89 × 101 × 137 × 617 × 4093 × 8779 × 21649 × 513239 × 1052788969<10> × 1056689261<10> × 16205834846012967584927082656402106953<38>(100.00%)
R89 = 1089-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­111111111<89> = 497867 × 103733951 × 104984505733<12> × 5078554966026315671444089<25> × 403513310222809053284932818475878953159<39>(100.00%)
R90 = 1090-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­1111111111<90> = 32 × 7 × 11 × 13 × 19 × 31 × 37 × 41 × 211 × 241 × 271 × 2161 × 9091 × 29611 × 52579 × 238681 × 333667 × 2906161 × 3762091 × 8985695684401<13> × 4185502830133110721<19>(100.00%)
R91 = 1091-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­11111111111<91> = 53 × 79 × 239 × 547 × 4649 × 14197 × 17837 × 4262077 × 265371653 × 43442141653<11> × 316877365766624209<18> × 110742186470530054291318013<27>(100.00%)
R92 = 1092-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­111111111111<92> = 11 × 47 × 101 × 139 × 1289 × 2531 × 18371524594609<14> × 549797184491917<15> × 11111111111111111111111<23> × 4181003300071669867932658901<28>(100.00%)
R93 = 1093-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­1111111111111<93> = 3 × 37 × 2791 × 6943319 × 57336415063790604359<20> × 9009009009009009009009009009009909909909­90990990990990990991<60>(100.00%)
R94 = 1094-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­11111111111111<94> = 11 × 6299 × 35121409 × 4855067598095567<16> × 297262705009139006771611927<27> × 316362908763458525001406154038726382279<39>(100.00%)
R95 = 1095-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­111111111111111<95> = 41 × 191 × 271 × 59281 × 63841 × 1111111111111111111<19> × 1289981231950849543985493631<28> × 965194617121640791456070347951751<33>(100.00%)
R96 = 1096-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­1111111111111111<96> = 3 × 7 × 11 × 13 × 17 × 37 × 73 × 97 × 101 × 137 × 353 × 449 × 641 × 1409 × 9901 × 69857 × 206209 × 5882353 × 99990001 × 66554101249<11> × 75118313082913<14> × 9999999900000001<16>(100.00%)
R97 = 1097-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­11111111111111111<97> = 12004721 × 846035731396919233767211537899097169<36> × 1093998468553705375403392668420701191076­62296580348039<54>(100.00%)
R98 = 1098-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­111111111111111111<98> = 11 × 197 × 239 × 4649 × 909091 × 505885997 × 1976730144598190963568023014679333<34> × 5076141624365532994918781726395939035533<40>(100.00%)
R99 = 1099-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­1111111111111111111<99> = 32 × 37 × 67 × 199 × 397 × 21649 × 34849 × 333667 × 513239 × 1344628210313298373<19> × 3628537243429904693247662354742688697863­11886053883<51>(100.00%)
R100 = 10100-19 = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­11111111111111111111<100> = 11 × 41 × 101 × 251 × 271 × 3541 × 5051 × 9091 × 21401 × 25601 × 27961 × 60101 × 7019801 × 182521213001<12> × 14103673319201<14> × 78875943472201<14> × 1680588011350901<16>(100.00%)
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