(Translated by https://www.hiragana.jp/)
Factorization of cyclotomic number Phi_n(10)
11...11 (Repunit) 11...11 (レピュニット) | 100...001 | Φn(10)
Download: ダウンロード: Phin10.txt (15406KB) | Phin10.txt.lz (6252KB) | Phin10.txt.gz (7117KB)
Download ex: ダウンロード ex: Phin10ex.txt (37948KB) | Phin10ex.txt.lz (11492KB) | Phin10ex.txt.gz (14484KB)
Appendix: 付録ふろく: PRP factors おそらく素数そすうの因数いんすう (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 最近さいきんの更新こうしん (46KB) | Past changes 過去かこの更新こうしんPast changes 過去かこの更新こうしん
2024 2024 年ねん August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2023 2023 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2022 2022 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2021 2021 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2020 2020 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2019 2019 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2018 2018 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2017 2017 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2016 2016 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2015 2015 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2014 2014 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2013 2013 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2012 2012 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2011 2011 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2010 2010 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2009 2009 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2008 2008 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2007 2007 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2006 2006 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2005 2005 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2004 2004 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ August 8 月がつ July 7 月がつ June 6 月がつ May 5 月がつ April 4 月がつ March 3 月がつ February 2 月がつ January 1 月がつ
2003 2003 年ねん December 12 月がつ November 11 月がつ October 10 月がつ September 9 月がつ
Summary 概要がいよう
Last updated: 最終さいしゅう更新こうしん日び:
Sun, 29 Sep 2024 10:00:39 GMT 2024 年ねん 9 月がつ 29 日にち (日)にち 19 時じ 0 分ふん 39 秒びょう (日本にっぽん時間じかん)
Status: 状態じょうたい:
1275 of 300000 Φn(10) factorizations were finished. 300000 個こ中ちゅう 1275 個この Φn(10) の素因数そいんすう分解ぶんかいが終おわりました。
213311 of 300000 Φn(10) factorizations were cracked. 300000 個こ中ちゅう 213311 個この Φn(10) の素因数そいんすうが見みつかりました。
130 of 25997 Rprime factorizations were finished. 25997 個こ中ちゅう 130 個この Rprime の素因数そいんすう分解ぶんかいが終おわりました。
20070 of 25997 Rprime factorizations were cracked. 25997 個こ中ちゅう 20070 個この Rprime の素因数そいんすうが見みつかりました。
387654 (probable) prime factors were discovered. 387654 個この (おそらく) 素数そすうの因数いんすうが見みつかりました。
293505 composite factors are remaining. 293505 個この合成ごうせい数すうの因数いんすうが残のこっています。
12578 factors are unidentified. 12578 個この因数いんすうが未み確定かくていです。
Editor: 編集へんしゅう者しゃ:
Makoto Kamada
Sources: 情報じょうほう源げん:
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 分解ぶんかいが期待きたいされる Φn(10)
First composite factor: 最初さいしょの合成ごうせい数すうの因数いんすう:
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: 最小さいしょうの合成ごうせい数すうの因数いんすう:
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): 素因数そいんすうが見みつかっていない最初さいしょの 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): 素因数そいんすうが見みつかっていない最小さいしょうの 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: 素因数そいんすうが見み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の割合わりあいが最大さいだいの 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
Φn(10)=value... 値ね...<length> <桁数けたすう>=(probable) prime factor... (おそらく) 素数そすうの因数いんすう...<length> <桁数けたすう>exponent 指数しすう
[composite factor... 合成ごうせい数すうの因数いんすう...<length> <桁数けたすう>]
(unidentified factor... 未み確定かくていの因数いんすう...<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の割合わりあい)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 | 3000 | Next page → 次つぎのページ →
remove soft hyphens ソフトハイフンを取とり除のぞく | plain text version プレーンテキスト版ばん
Φ1(10) = 9 = 32 (100.00%)
Φ2(10) = 11 = 11 (100.00%)
Φ3(10) = 111 = 3 × 37 (100.00%)
Φ4(10) = 101 = 101 (100.00%)
Φ5(10) = 11111 = 41 × 271 (100.00%)
Φ6(10) = 91 = 7 × 13 (100.00%)
Φ7(10) = 1111111 = 239 × 4649 (100.00%)
Φ8(10) = 10001 = 73 × 137 (100.00%)
Φ9(10) = 1001001 = 3 × 333667 (100.00%)
Φ10(10) = 9091 = 9091 (100.00%)
Φ11(10) = 11111111111<11> = 21649 × 513239 (100.00%)
Φ12(10) = 9901 = 9901 (100.00%)
Φ13(10) = 1111111111111<13> = 53 × 79 × 265371653 (100.00%)
Φ14(10) = 909091 = 909091 (100.00%)
Φ15(10) = 90090991 = 31 × 2906161 (100.00%)
Φ16(10) = 100000001 = 17 × 5882353 (100.00%)
Φ17(10) = 11111111111111111<17> = 2071723 × 5363222357<10> (100.00%)
Φ18(10) = 999001 = 19 × 52579 (100.00%)
Φ19(10) = 1111111111111111111<19> = 1111111111111111111<19> (100.00%)
Φ20L(10) = 3541 = 3541 (100.00%)
Φ20M(10) = 27961 = 27961 (100.00%)
Φ21(10) = 900900990991<12> = 43 × 1933 × 10838689 (100.00%)
Φ22(10) = 9090909091<10> = 11 × 23 × 4093 × 8779 (100.00%)
Φ23(10) = 11111111111111111111111<23> = 11111111111111111111111<23> (100.00%)
Φ24(10) = 99990001 = 99990001 (100.00%)
Φ25(10) = 100001000010000100001<21> = 21401 × 25601 × 182521213001<12> (100.00%)
Φ26(10) = 909090909091<12> = 859 × 1058313049<10> (100.00%)
Φ27(10) = 1000000001000000001<19> = 3 × 757 × 440334654777631<15> (100.00%)
Φ28(10) = 990099009901<12> = 29 × 281 × 121499449 (100.00%)
Φ29(10) = 11111111111111111111111111111<29> = 3191 × 16763 × 43037 × 62003 × 77843839397<11> (100.00%)
Φ30(10) = 109889011 = 211 × 241 × 2161 (100.00%)
Φ31(10) = 1111111111111111111111111111111<31> = 2791 × 6943319 × 57336415063790604359<20> (100.00%)
Φ32(10) = 10000000000000001<17> = 353 × 449 × 641 × 1409 × 69857 (100.00%)
Φ33(10) = 90090090090990990991<20> = 67 × 1344628210313298373<19> (100.00%)
Φ34(10) = 9090909090909091<16> = 103 × 4013 × 21993833369<11> (100.00%)
Φ35(10) = 900009090090909909099991<24> = 71 × 123551 × 102598800232111471<18> (100.00%)
Φ36(10) = 999999000001<12> = 999999000001<12> (100.00%)
Φ37(10) = 1111111111111111111111111111111111111<37> = 2028119 × 247629013 × 2212394296770203368013<22> (100.00%)
Φ38(10) = 909090909090909091<18> = 909090909090909091<18> (100.00%)
Φ39(10) = 900900900900990990990991<24> = 900900900900990990990991<24> (100.00%)
Φ40(10) = 9999000099990001<16> = 1676321 × 5964848081<10> (100.00%)
Φ41(10) = 1111111111111111111111111111111111111111­1<41> = 83 × 1231 × 538987 × 201763709900322803748657942361<30> (100.00%)
Φ42(10) = 1098900989011<13> = 7 × 127 × 2689 × 459691 (100.00%)
Φ43(10) = 1111111111111111111111111111111111111111­111<43> = 173 × 1527791 × 1963506722254397<16> × 2140992015395526641<19> (100.00%)
Φ44(10) = 99009900990099009901<20> = 89 × 1052788969<10> × 1056689261<10> (100.00%)
Φ45(10) = 999000000999000999999001<24> = 238681 × 4185502830133110721<19> (100.00%)
Φ46(10) = 9090909090909090909091<22> = 47 × 139 × 2531 × 549797184491917<15> (100.00%)
Φ47(10) = 1111111111111111111111111111111111111111­1111111<47> = 35121409 × 316362908763458525001406154038726382279<39> (100.00%)
Φ48(10) = 9999999900000001<16> = 9999999900000001<16> (100.00%)
Φ49(10) = 1000000100000010000001000000100000010000­001<43> = 505885997 × 1976730144598190963568023014679333<34> (100.00%)
Φ50(10) = 99999000009999900001<20> = 251 × 5051 × 78875943472201<14> (100.00%)
Φ51(10) = 90090090090090090990990990990991<32> = 613 × 210631 × 52986961 × 13168164561429877<17> (100.00%)
Φ52(10) = 990099009900990099009901<24> = 521 × 1900381976777332243781<22> (100.00%)
Φ53(10) = 1111111111111111111111111111111111111111­1111111111111<53> = 107 × 1659431 × 1325815267337711173<19> × 47198858799491425660200071<26> (100.00%)
Φ54(10) = 999999999000000001<18> = 70541929 × 14175966169<11> (100.00%)
Φ55(10) = 9000090000990009900099900999009999099991<40> = 1321 × 62921 × 83251631 × 1300635692678058358830121<25> (100.00%)
Φ56(10) = 999900009999000099990001<24> = 7841 × 127522001020150503761<21> (100.00%)
Φ57(10) = 900900900900900900990990990990990991<36> = 21319 × 10749631 × 3931123022305129377976519<25> (100.00%)
Φ58(10) = 9090909090909090909090909091<28> = 59 × 154083204930662557781201849<27> (100.00%)
Φ59(10) = 1111111111111111111111111111111111111111­1111111111111111111<59> = 2559647034361<13> × 4340876285657460212144534289928559826755­746751<46> (100.00%)
Φ60L(10) = 255522961 = 61 × 4188901 (100.00%)
Φ60M(10) = 39526741 = 39526741 (100.00%)
Φ61(10) = 1111111111111111111111111111111111111111­111111111111111111111<61> = 733 × 4637 × 329401 × 974293 × 1360682471<10> × 106007173861643<15> × 7061709990156159479<19> (100.00%)
Φ62(10) = 909090909090909090909090909091<30> = 909090909090909090909090909091<30> (100.00%)
Φ63(10) = 999000000999000000999999000999999001<36> = 10837 × 23311 × 45613 × 45121231 × 1921436048294281<16> (100.00%)
Φ64(10) = 100000000000000000000000000000001<33> = 19841 × 976193 × 6187457 × 834427406578561<15> (100.00%)
Φ65(10) = 9000090000900909009090090990909909099099­99099991<48> = 162503518711<12> × 5538396997364024056286510640780600481<37> (100.00%)
Φ66(10) = 109890109889010989011<21> = 599144041 × 183411838171<12> (100.00%)
Φ67(10) = 1111111111111111111111111111111111111111­111111111111111111111111111<67> = 493121 × 79863595778924342083<20> × 2821338094317666700126315366099917724567­7<41> (100.00%)
Φ68(10) = 99009900990099009900990099009901<32> = 28559389 × 1491383821<10> × 2324557465671829<16> (100.00%)
Φ69(10) = 9009009009009009009009099099099099099099­0991<44> = 277 × 203864078068831<15> × 1595352086329224644348978893<28> (100.00%)
Φ70(10) = 1099988890111109888900011<25> = 4147571 × 265212793249617641<18> (100.00%)
Φ71(10) = 1111111111111111111111111111111111111111­1111111111111111111111111111111<71> = 241573142393627673576957439049<30> × 4599481134788684631022172889522303430183­9<41> (100.00%)
Φ72(10) = 999999999999000000000001<24> = 3169 × 98641 × 3199044596370769<16> (100.00%)
Φ73(10) = 1111111111111111111111111111111111111111­111111111111111111111111111111111<73> = 12171337159<11> × 1855193842151350117<19> × 4920734163464632693400173948250213148744­6637<44> (100.00%)
Φ74(10) = 909090909090909090909090909090909091<36> = 7253 × 422650073734453<15> × 296557347313446299<18> (100.00%)
Φ75(10) = 9999900000000009999900000999999999900001<40> = 151 × 4201 × 15763985553739191709164170940063151<35> (100.00%)
Φ76(10) = 990099009900990099009900990099009901<36> = 722817036322379041<18> × 1369778187490592461<19> (100.00%)
Φ77(10) = 9000000900090090009009900900990099099009­90999099099909999991<60> = 5237 × 42043 × 29920507 × 1366146685760023293714964475559157409101­81043<45> (100.00%)
Φ78(10) = 1098901098900989010989011<25> = 13 × 157 × 6397 × 216451 × 388847808493<12> (100.00%)
Φ79(10) = 1111111111111111111111111111111111111111­111111111111111111111111111111111111111<79> = 317 × 6163 × 10271 × 307627 × 49172195536083790769<20> × 3660574762725521461527140564875080461079­917<43> (100.00%)
Φ80(10) = 99999999000000009999999900000001<32> = 5070721 × 19721061166646717498359681<26> (100.00%)
Φ81(10) = 1000000000000000000000000001000000000000­000000000000001<55> = 3 × 163 × 9397 × 2462401 × 676421558270641<15> × 130654897808007778425046117<27> (100.00%)
Φ82(10) = 9090909090909090909090909090909090909091<40> = 2670502781396266997<19> × 3404193829806058997303<22> (100.00%)
Φ83(10) = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­111<83> = 3367147378267<13> × 9512538508624154373682136329<28> × 3468957163858578045447411373945054253844­77<42> (100.00%)
Φ84(10) = 1009998990000999899000101<25> = 226549 × 4458192223320340849<19> (100.00%)
Φ85(10) = 9000090000900009090090900909009090990909­909099090999909999099991<64> = 262533041 × 8119594779271<13> × 4222100119405530170179331190291488789678­081<43> (100.00%)
Φ86(10) = 9090909090909090909090909090909090909090­91<42> = 57009401 × 2182600451<10> × 7306116556571817748755241<25> (100.00%)
Φ87(10) = 9009009009009009009009009009099099099099­0990990990990991<56> = 4003 × 72559 × 3101702516580297590451577932373394983427­63245483<48> (100.00%)
Φ88(10) = 9999000099990000999900009999000099990001<40> = 617 × 16205834846012967584927082656402106953<38> (100.00%)
Φ89(10) = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­111111111<89> = 497867 × 103733951 × 104984505733<12> × 5078554966026315671444089<25> × 403513310222809053284932818475878953159<39> (100.00%)
Φ90(10) = 1000999998998999000001001<25> = 29611 × 3762091 × 8985695684401<13> (100.00%)
Φ91(10) = 9000000900000990000099000099900009990009­99900099990099999009999909999991<72> = 547 × 14197 × 17837 × 4262077 × 43442141653<11> × 316877365766624209<18> × 110742186470530054291318013<27> (100.00%)
Φ92(10) = 9900990099009900990099009900990099009900­9901<44> = 1289 × 18371524594609<14> × 4181003300071669867932658901<28> (100.00%)
Φ93(10) = 9009009009009009009009009009009909909909­90990990990990990991<60> = 9009009009009009009009009009009909909909­90990990990990990991<60> (100.00%)
Φ94(10) = 9090909090909090909090909090909090909090­909091<46> = 6299 × 4855067598095567<16> × 297262705009139006771611927<27> (100.00%)
Φ95(10) = 9000090000900009000990009900099000990099­90099900999009990999909999099991<72> = 191 × 59281 × 63841 × 1289981231950849543985493631<28> × 965194617121640791456070347951751<33> (100.00%)
Φ96(10) = 99999999999999990000000000000001<32> = 97 × 206209 × 66554101249<11> × 75118313082913<14> (100.00%)
Φ97(10) = 1111111111111111111111111111111111111111­1111111111111111111111111111111111111111­11111111111111111<97> = 12004721 × 846035731396919233767211537899097169<36> × 1093998468553705375403392668420701191076­62296580348039<54> (100.00%)
Φ98(10) = 9999999000000099999990000000999999900000­01<42> = 197 × 5076141624365532994918781726395939035533<40> (100.00%)
Φ99(10) = 9990000009990000009990000009990009999990­00999999000999999001<60> = 199 × 397 × 34849 × 3628537243429904693247662354742688697863­11886053883<51> (100.00%)
Φ100L(10) = 99004980069800499001<20> = 7019801 × 14103673319201<14> (100.00%)
Φ100M(10) = 101005020070200501001<21> = 60101 × 1680588011350901<16> (100.00%)
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