Table of contents 目次

  1. About 77...7727 77...7727 について
    1. Classification 分類
    2. Sequence 数列
    3. General term 一般項
  2. Prime numbers of the form 77...7727 77...7727 の形の素数
    1. Last updated 最終更新日
    2. Known (probable) prime numbers 既知の (おそらく) 素数
    3. Range of search 捜索範囲
    4. Prime factors that appear periodically 周期的に現れる素因数
    5. Difficulty of search 捜索難易度
  3. Factor table of 77...7727 77...7727 の素因数分解表
    1. Last updated 最終更新日
    2. Range of factorization 分解範囲
    3. Terms that have not been factored yet まだ分解されていない項
    4. Factor table 素因数分解表
  4. Related links 関連リンク

1. About 77...7727 77...7727 について

1.1. Classification 分類

Near-repdigit of the form AA...AABA AA...AABA の形のニアレプディジット (Near-repdigit)

1.2. Sequence 数列

7w27 = { 27, 727, 7727, 77727, 777727, 7777727, 77777727, 777777727, 7777777727, 77777777727, … }

1.3. General term 一般項

7×10n-4579 (2≤n)

2. Prime numbers of the form 77...7727 77...7727 の形の素数

2.1. Last updated 最終更新日

October 6, 2017 2017 年 10 月 6 日

2.2. Known (probable) prime numbers 既知の (おそらく) 素数

  1. 7×103-4579 = 727 is prime. は素数です。
  2. 7×104-4579 = 7727 is prime. は素数です。
  3. 7×107-4579 = 7777727 is prime. は素数です。
  4. 7×1012-4579 = (7)1027<12> is prime. は素数です。
  5. 7×1015-4579 = (7)1327<15> is prime. は素数です。
  6. 7×1048-4579 = (7)4627<48> is prime. は素数です。
  7. 7×1087-4579 = (7)8527<87> is prime. は素数です。
  8. 7×10138-4579 = (7)13627<138> is prime. は素数です。 (discovered by: (発見: Makoto Kamada / September 29, 2004 2004 年 9 月 29 日) (certified by: (証明: Robert Backstrom / APLOG.UB / August 8, 2009 2009 年 8 月 8 日)
  9. 7×10342-4579 = (7)34027<342> is prime. は素数です。 (discovered by: (発見: Makoto Kamada / September 29, 2004 2004 年 9 月 29 日) (certified by: (証明: Erik Branger / Primo 3.0.9 / April 10, 2010 2010 年 4 月 10 日)
  10. 7×10675-4579 = (7)67327<675> is prime. は素数です。 (discovered by: (発見: Makoto Kamada / PFGW / December 23, 2004 2004 年 12 月 23 日) (certified by: (証明: Erik Branger / Primo 3.0.9 / July 11, 2010 2010 年 7 月 11 日)
  11. 7×10901-4579 = (7)89927<901> is prime. は素数です。 (discovered by: (発見: Makoto Kamada / PFGW / December 23, 2004 2004 年 12 月 23 日) (certified by: (証明: Erik Branger / Primo 3.0.9 / August 30, 2010 2010 年 8 月 30 日)
  12. 7×101323-4579 = (7)132127<1323> is prime. は素数です。 (discovered by: (発見: Makoto Kamada / PFGW / December 23, 2004 2004 年 12 月 23 日) (certified by: (証明: Erik Branger / Primo 3.0.9 / September 4, 2010 2010 年 9 月 4 日)
  13. 7×101362-4579 = (7)136027<1362> is prime. は素数です。 (discovered by: (発見: Makoto Kamada / PFGW / December 23, 2004 2004 年 12 月 23 日) (certified by: (証明: Erik Branger / Primo 3.0.9 / September 4, 2010 2010 年 9 月 4 日)
  14. 7×101485-4579 = (7)148327<1485> is prime. は素数です。 (discovered by: (発見: Makoto Kamada / PFGW / December 23, 2004 2004 年 12 月 23 日) (certified by: (証明: Erik Branger / Primo 3.0.9 / September 4, 2010 2010 年 9 月 4 日)
  15. 7×101909-4579 = (7)190727<1909> is prime. は素数です。 (discovered by: (発見: Makoto Kamada / PFGW / December 23, 2004 2004 年 12 月 23 日) (certified by: (証明: Ray Chandler / Primo 3.0.9 / June 3, 2011 2011 年 6 月 3 日)
  16. 7×109498-4579 = (7)949627<9498> is PRP. はおそらく素数です。 (Ray Chandler / srsieve, PFGW / October 14, 2010 2010 年 10 月 14 日)
  17. 7×1010941-4579 = (7)1093927<10941> is PRP. はおそらく素数です。 (Ray Chandler / srsieve, PFGW / October 15, 2010 2010 年 10 月 15 日)
  18. 7×1011563-4579 = (7)1156127<11563> is PRP. はおそらく素数です。 (Ray Chandler / srsieve, PFGW / October 23, 2010 2010 年 10 月 23 日)
  19. 7×1016308-4579 = (7)1630627<16308> is PRP. はおそらく素数です。 (Ray Chandler / srsieve, PFGW / November 15, 2010 2010 年 11 月 15 日)
  20. 7×1037495-4579 = (7)3749327<37495> is PRP. はおそらく素数です。 (Serge Batalov / LLR / January 9, 2015 2015 年 1 月 9 日)
  21. 7×1043875-4579 = (7)4387327<43875> is PRP. はおそらく素数です。 (Bob Price / October 5, 2017 2017 年 10 月 5 日)
  22. 7×1071166-4579 = (7)7116427<71166> is PRP. はおそらく素数です。 (Bob Price / October 5, 2017 2017 年 10 月 5 日)
  23. 7×1082960-4579 = (7)8295827<82960> is PRP. はおそらく素数です。 (Bob Price / October 5, 2017 2017 年 10 月 5 日)

2.3. Range of search 捜索範囲

  1. n≤11000 / Completed 終了 / Ray Chandler / October 15, 2010 2010 年 10 月 15 日
  2. n≤20000 / Completed 終了 / Ray Chandler / December 12, 2010 2010 年 12 月 12 日
  3. n≤30000 / Completed 終了 / Ray Chandler / July 11, 2011 2011 年 7 月 11 日
  4. n≤100000 / Completed 終了 / Bob Price / October 5, 2017 2017 年 10 月 5 日

2.4. Prime factors that appear periodically 周期的に現れる素因数

  1. 7×103k+2-4579 = 3×(7×102-4579×3+7×102×103-19×3×k-1Σm=0103m)
  2. 7×106k+5-4579 = 13×(7×105-4579×13+7×105×106-19×13×k-1Σm=0106m)
  3. 7×1016k+9-4579 = 17×(7×109-4579×17+7×109×1016-19×17×k-1Σm=01016m)
  4. 7×1018k+6-4579 = 19×(7×106-4579×19+7×106×1018-19×19×k-1Σm=01018m)
  5. 7×1021k+1-4579 = 43×(7×101-4579×43+7×10×1021-19×43×k-1Σm=01021m)
  6. 7×1022k+10-4579 = 23×(7×1010-4579×23+7×1010×1022-19×23×k-1Σm=01022m)
  7. 7×1028k+14-4579 = 29×(7×1014-4579×29+7×1014×1028-19×29×k-1Σm=01028m)
  8. 7×1034k+13-4579 = 103×(7×1013-4579×103+7×1013×1034-19×103×k-1Σm=01034m)
  9. 7×1035k+25-4579 = 71×(7×1025-4579×71+7×1025×1035-19×71×k-1Σm=01035m)
  10. 7×1044k+24-4579 = 89×(7×1024-4579×89+7×1024×1044-19×89×k-1Σm=01044m)

Read more続きを読むHide more続きを隠す

2.5. Difficulty of search 捜索難易度

The difficulty of search, percentage of terms that are not divisible by prime factors that appear periodically, is 20.65%. 捜索難易度 (周期的に現れる素因数で割り切れない項の割合) は 20.65% です。

3. Factor table of 77...7727 77...7727 の素因数分解表

3.1. Last updated 最終更新日

March 10, 2017 2017 年 3 月 10 日

3.2. Range of factorization 分解範囲

3.3. Terms that have not been factored yet まだ分解されていない項

n=193, 194, 195, 196, 199, 201, 205, 206, 208, 209, 210, 211, 214, 215, 216, 217, 218, 220, 221, 222, 224, 225, 228, 229, 230, 232, 233, 234, 236, 237, 240, 244, 245, 246, 248, 249 (36/250)

3.4. Factor table 素因数分解表

7×102-4579 = 27 = 33
7×103-4579 = 727 = definitely prime number 素数
7×104-4579 = 7727 = definitely prime number 素数
7×105-4579 = 77727 = 3 × 13 × 1993
7×106-4579 = 777727 = 19 × 40933
7×107-4579 = 7777727 = definitely prime number 素数
7×108-4579 = 77777727 = 3 × 919 × 28211
7×109-4579 = 777777727 = 17 × 45751631
7×1010-4579 = 7777777727<10> = 23 × 1559 × 216911
7×1011-4579 = 77777777727<11> = 32 × 13 × 664767331
7×1012-4579 = 777777777727<12> = definitely prime number 素数
7×1013-4579 = 7777777777727<13> = 103 × 2927 × 25798567
7×1014-4579 = 77777777777727<14> = 3 × 29 × 893997445721<12>
7×1015-4579 = 777777777777727<15> = definitely prime number 素数
7×1016-4579 = 7777777777777727<16> = 397 × 2969 × 6598645939<10>
7×1017-4579 = 77777777777777727<17> = 3 × 13 × 2437 × 373049 × 2193661
7×1018-4579 = 777777777777777727<18> = 1579 × 492576173386813<15>
7×1019-4579 = 7777777777777777727<19> = 47741 × 4969141 × 32785567
7×1020-4579 = 77777777777777777727<20> = 32 × 61 × 215141 × 658506404503<12>
7×1021-4579 = 777777777777777777727<21> = 108923 × 7140620234273549<16>
7×1022-4579 = 7777777777777777777727<22> = 43 × 18211 × 65862347 × 150805117
7×1023-4579 = 77777777777777777777727<23> = 3 × 13 × 947 × 2105915516686372019<19>
7×1024-4579 = 777777777777777777777727<24> = 19 × 89 × 6763 × 22259 × 204359 × 14951099
7×1025-4579 = 7777777777777777777777727<25> = 17 × 71 × 15107 × 426550083460312723<18>
7×1026-4579 = 77777777777777777777777727<26> = 3 × 58566555527<11> × 442674589492867<15>
7×1027-4579 = 777777777777777777777777727<27> = 269 × 17664827 × 242467087 × 675057967
7×1028-4579 = 7777777777777777777777777727<28> = 97 × 109 × 787 × 26786482427<11> × 34895295451<11>
7×1029-4579 = 77777777777777777777777777727<29> = 33 × 13 × 139 × 331 × 2237 × 2152978217794994269<19>
7×1030-4579 = 777777777777777777777777777727<30> = 4217 × 100851451 × 734709971 × 2489165911<10>
7×1031-4579 = 7777777777777777777777777777727<31> = 51949 × 180343061 × 830192683939930543<18>
7×1032-4579 = 77777777777777777777777777777727<32> = 3 × 23 × 292568967347<12> × 3852815221361138689<19>
7×1033-4579 = 777777777777777777777777777777727<33> = 3391 × 427024288360669<15> × 537124748317813<15>
7×1034-4579 = 7777777777777777777777777777777727<34> = 47 × 2836919 × 11400239 × 526356659 × 9721127939<10>
7×1035-4579 = 77777777777777777777777777777777727<35> = 3 × 13 × 193 × 6659 × 33851 × 50273 × 421342843 × 2164126651<10>
7×1036-4579 = 777777777777777777777777777777777727<36> = 1901299 × 409077045629213383995772247173<30>
7×1037-4579 = 7777777777777777777777777777777777727<37> = 461 × 1031 × 11483 × 88327 × 110527 × 145975076932910671<18>
7×1038-4579 = 77777777777777777777777777777777777727<38> = 32 × 5011052746391<13> × 1724582786494513470268433<25>
7×1039-4579 = 777777777777777777777777777777777777727<39> = 156521 × 4969159267943456646569966827312487<34>
7×1040-4579 = 7777777777777777777777777777777777777727<40> = 18287 × 29609599 × 14364170115858838328796883279<29>
7×1041-4579 = 77777777777777777777777777777777777777727<41> = 3 × 13 × 17 × 23857 × 50630478869807<14> × 97121221650563348071<20>
7×1042-4579 = 777777777777777777777777777777777777777727<42> = 19 × 29 × 5659 × 32178169 × 7751806253049512013353905187<28>
7×1043-4579 = 7777777777777777777777777777777777777777727<43> = 43 × 3907 × 46296020724744363294133831213967641727<38>
7×1044-4579 = 77777777777777777777777777777777777777777727<44> = 3 × 1819583 × 14248278823184172376817065187972148523<38>
7×1045-4579 = 777777777777777777777777777777777777777777727<45> = 311 × 121993 × 333269 × 61512773889266107130502121187821<32>
7×1046-4579 = 7777777777777777777777777777777777777777777727<46> = 53527 × 145305692039116292296930105886333584504601<42>
7×1047-4579 = 77777777777777777777777777777777777777777777727<47> = 32 × 13 × 103 × 719 × 36139616215931<14> × 248381941506768334716065393<27>
7×1048-4579 = 777777777777777777777777777777777777777777777727<48> = definitely prime number 素数
7×1049-4579 = 7777777777777777777777777777777777777777777777727<49> = 1753 × 8693 × 13948296517<11> × 36591714914470991884664531318239<32>
7×1050-4579 = 77777777777777777777777777777777777777777777777727<50> = 3 × 1184562062311<13> × 3472534307552994373<19> × 6302747535337999303<19>
7×1051-4579 = 777777777777777777777777777777777777777777777777727<51> = 59 × 662899 × 1860907211<10> × 137222344187<12> × 77876531795074805563271<23>
7×1052-4579 = (7)5027<52> = 5009 × 172883 × 5782086221627<13> × 1553344003473596621962244083183<31>
7×1053-4579 = (7)5127<53> = 3 × 13 × 1317436838120467<16> × 1513774274861770987175423911130935379<37>
7×1054-4579 = (7)5227<54> = 23 × 101874589 × 175945141 × 35214824060133479<17> × 53574610756057992319<20>
7×1055-4579 = (7)5327<55> = 1489 × 2204767 × 65038313 × 36427457914879486071176356676458357033<38>
7×1056-4579 = (7)5427<56> = 34 × 30513391 × 31468789514020164344099776858414484711690371937<47>
7×1057-4579 = (7)5527<57> = 17 × 4144711 × 24549451 × 203836933 × 7877780833632187<16> × 280016614603666301<18>
7×1058-4579 = (7)5627<58> = 2775051894236449<16> × 2802750389616703236650643302951858175030623<43>
7×1059-4579 = (7)5727<59> = 3 × 13 × 115760849 × 915752977 × 18812689218128107044970064500209285607241<41>
7×1060-4579 = (7)5827<60> = 19 × 71 × 1373 × 8439217 × 22803306271<11> × 47091927283<11> × 46336860408012758446678171<26>
7×1061-4579 = (7)5927<61> = 829211 × 93804901 × 99991928956041657640552069110288063112121676457<47>
7×1062-4579 = (7)6027<62> = 3 × 379 × 8276215158466923653861<22> × 8265388912435137006500857983439652611<37>
7×1063-4579 = (7)6127<63> = 34527001 × 24665890787773453<17> × 913271424090841655131138819158165755059<39>
7×1064-4579 = (7)6227<64> = 43 × 1181 × 66431 × 2305506693148972057249228842157342584878232709425698399<55>
7×1065-4579 = (7)6327<65> = 32 × 13 × 197 × 599 × 661 × 14392243 × 44856083765339184271<20> × 13201562119800865264015425169<29>
7×1066-4579 = (7)6427<66> = 1429 × 544281160096415519788507892076821398025036933364435113910271363<63>
7×1067-4579 = (7)6527<67> = 202191218186133811088429832645449<33> × 38467436160445342796407753594487623<35> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P33 x P35 / January 6, 2015 2015 年 1 月 6 日)
7×1068-4579 = (7)6627<68> = 3 × 89 × 557412646439580257<18> × 522597648894794038626845855770750905179091900733<48>
7×1069-4579 = (7)6727<69> = 307 × 3745187 × 1262153569256653<16> × 535958851859689044705422685643146217787578451<45>
7×1070-4579 = (7)6827<70> = 29 × 131 × 454957357974659<15> × 11089965566490169<17> × 405775055760183008072216150758564363<36>
7×1071-4579 = (7)6927<71> = 3 × 13 × 811 × 12071 × 421698401 × 483086459949413150882076970176803791097624264313483053<54>
7×1072-4579 = (7)7027<72> = 233 × 16665563 × 265052644049<12> × 3369158182888871<16> × 224298349194777543883192754146061347<36>
7×1073-4579 = (7)7127<73> = 17 × 26973811 × 830615631638259691065581<24> × 20420397843626058009475113295701678052841<41>
7×1074-4579 = (7)7227<74> = 32 × 14229361 × 36708769 × 83954173267<11> × 89089462809511<14> × 2212020629806915485379285803348491<34>
7×1075-4579 = (7)7327<75> = 139 × 1835509961<10> × 3048484453926148933854155713651873523104037407378336944973685813<64>
7×1076-4579 = (7)7427<76> = 23 × 4000291 × 84534912887019836456656232365375612160930268168401376819160077601939<68>
7×1077-4579 = (7)7527<77> = 3 × 133 × 2251 × 39509 × 90037303 × 1473703818606727370297294833655786399366951310494346225761<58>
7×1078-4579 = (7)7627<78> = 19 × 373 × 937 × 959200657 × 122107977886764914934977250932315090173646042157292173305845369<63>
7×1079-4579 = (7)7727<79> = 58192171 × 133656772794707689764277359196270195483474534362668438298646355328069437<72>
7×1080-4579 = (7)7827<80> = 3 × 47 × 61 × 971083714276777499182675133861<30> × 9312148909928600344460517048828460028355098507<46> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=2219082615 for P30 / December 29, 2014 2014 年 12 月 29 日)
7×1081-4579 = (7)7927<81> = 103 × 2141 × 3044407 × 1158507705512258877066050613844472976655379713994995765097051943561707<70>
7×1082-4579 = (7)8027<82> = 3967 × 19447214194309309088920832164428229<35> × 100817501992308368989719109879426276260026189<45> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P35 x P45 / January 6, 2015 2015 年 1 月 6 日)
7×1083-4579 = (7)8127<83> = 33 × 13 × 23095613 × 148996757881<12> × 815283544624673903<18> × 78982963581576871726553881580957049622826803<44>
7×1084-4579 = (7)8227<84> = 68463792805789<14> × 6437425211538493069288981<25> × 1764746703033788820752720551947604254866038303<46>
7×1085-4579 = (7)8327<85> = 43 × 5113747 × 72509711 × 137289389 × 2413067359<10> × 1472465899284443296091012469602749969326771313624667<52>
7×1086-4579 = (7)8427<86> = 3 × 1481 × 3067671767<10> × 146965980103908907<18> × 18042945699455221001<20> × 2152018847500986132428013292070075081<37>
7×1087-4579 = (7)8527<87> = definitely prime number 素数
7×1088-4579 = (7)8627<88> = 683 × 572823266899991<15> × 1977945522467044000352046017<28> × 10050781951536555860119007643608256901673227<44>
7×1089-4579 = (7)8727<89> = 3 × 13 × 172 × 257171 × 250119943 × 162961508681890098221<21> × 658321031020937484089264489606620804031352245899049<51>
7×1090-4579 = (7)8827<90> = 220217 × 104203026382473029429387<24> × 2068462494643162461955681<25> × 16386141676436772161500631887827294373<38>
7×1091-4579 = (7)8927<91> = 1007021 × 92739285178373<14> × 83282405220833276198486930793158342172010175474950298148297548776156319<71>
7×1092-4579 = (7)9027<92> = 32 × 8641975308641975308641975308641975308641975308641975308641975308641975308641975308641975303<91>
7×1093-4579 = (7)9127<93> = 11927 × 33577 × 7989417024620783581449073967<28> × 243090132287162917778719933439415869503197202861319203039<57>
7×1094-4579 = (7)9227<94> = 152287 × 1393179146435558789471801242763873<34> × 36659432198914790736516365130814294859570086038886541377<56> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P34 x P56 / January 6, 2015 2015 年 1 月 6 日)
7×1095-4579 = (7)9327<95> = 3 × 13 × 71 × 108863 × 482541623 × 534709002406059083390869742029002990276418509845150253542375957572145972497367<78>
7×1096-4579 = (7)9427<96> = 19 × 263 × 3456562237406117010159701191487<31> × 45029984774499987748374525961893698642708605680043517708988493<62> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=226624633 for P31 / December 29, 2014 2014 年 12 月 29 日)
7×1097-4579 = (7)9527<97> = 223 × 5197 × 23327 × 665953 × 146891576003651<15> × 695271644675547984881990259437197<33> × 4230036096328232479228993836705581<34> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P33 x P34 / January 6, 2015 2015 年 1 月 6 日)
7×1098-4579 = (7)9627<98> = 3 × 23 × 29 × 38869454161807984896440668554611583097340218779499139319229274251763007385196290743517130323727<95>
7×1099-4579 = (7)9727<99> = 167865561194101<15> × 9929167958237417<16> × 8700902634764120475641623512931<31> × 53631106580241042558514012170784941401<38> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P31 x P38 / January 6, 2015 2015 年 1 月 6 日)
7×10100-4579 = (7)9827<100> = 293 × 147311 × 671159 × 114301641479<12> × 293593971103<12> × 8000694982905204693931409959716192099999793725639261605276830403<64>
7×10101-4579 = (7)9927<101> = 32 × 13 × 113 × 739 × 2270986954772370726811<22> × 28048330645850984285012839152497719<35> × 124975570808835829823779172471094145237<39> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P35 x P39 / January 6, 2015 2015 年 1 月 6 日)
7×10102-4579 = (7)10027<102> = 7039 × 3956073169186315982810291471<28> × 23214969888056618535730276331<29> × 1203128806526155417020280579864483718633293<43> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P28 x P43 / January 6, 2015 2015 年 1 月 6 日)
7×10103-4579 = (7)10127<103> = 167 × 283 × 2309 × 182622935357<12> × 16563946604258507<17> × 23561858856714783033949773565684379078646754229552665798934026421777<68>
7×10104-4579 = (7)10227<104> = 3 × 227 × 3967423237<10> × 659986217347<12> × 780999533145417923<18> × 1959497886080213885685958141<28> × 28501613488522424151473947553883871<35> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P28 x P35 / January 6, 2015 2015 年 1 月 6 日)
7×10105-4579 = (7)10327<105> = 17 × 43692461 × 4846907794277<13> × 92167308156061796413700301103135640369<38> × 2344004495932408692431556517090472911655307967<46> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P38 x P46 / January 6, 2015 2015 年 1 月 6 日)
7×10106-4579 = (7)10427<106> = 43 × 497137 × 661381103 × 6619754801976660017<19> × 217415546373880191106710612289<30> × 382231704538900264561196179245128716081523<42> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P30 x P42 / January 6, 2015 2015 年 1 月 6 日)
7×10107-4579 = (7)10527<107> = 3 × 13 × 404273 × 3272043180218912002873276993012202677800691081933<49> × 1507638293952675598359386596288820621402281481411677<52> (KTakahashi / Msieve 1.51 snfs for P49 x P52 / January 8, 2015 2015 年 1 月 8 日)
7×10108-4579 = (7)10627<108> = 179 × 2633 × 8076184373249<13> × 224528834762789351<18> × 440794387569604429721<21> × 2064606245540503179818148169224318210737080917687059<52>
7×10109-4579 = (7)10727<109> = 592 × 29717 × 87317 × 3000563484979<13> × 9642163948706345341182866321923110195547<40> × 29762568332116083378083086545136748826542831<44> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P40 x P44 / January 6, 2015 2015 年 1 月 6 日)
7×10110-4579 = (7)10827<110> = 33 × 569 × 5897 × 10889 × 7460951 × 78679061 × 235409094269<12> × 570536957883040733713261865748154315197868443041145586402521369257079107<72>
7×10111-4579 = (7)10927<111> = 149 × 257 × 21001 × 85411 × 11218463 × 17788693568021<14> × 1499677323938557<16> × 37836165693556325439704835841500595002564495352779899746441159<62>
7×10112-4579 = (7)11027<112> = 89 × 54517 × 89977 × 11792279 × 239334341 × 772773499 × 158888654412549441842400895322163359<36> × 51410780193950135868297506773766181652973<41> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P36 x P41 / January 6, 2015 2015 年 1 月 6 日)
7×10113-4579 = (7)11127<113> = 3 × 13 × 177211 × 378430817 × 2990130693124550999<19> × 9945430365096767152457378683412919202606781699435088331801777090386793142809261<79>
7×10114-4579 = (7)11227<114> = 19 × 1299058834250977<16> × 9305784078785051438407<22> × 3386258728785470337281385941548243516209036495756599759876134203994928944147<76>
7×10115-4579 = (7)11327<115> = 103 × 397 × 47837 × 3976160102112762758429132050697507028155938280403126579585160301436135015588257065114502635830982277720881<106>
7×10116-4579 = (7)11427<116> = 3 × 421 × 2741 × 720816582443<12> × 440659568758481233833959736031914943401721<42> × 70731874927688154114205719934732464533945092998998401823<56> (KTakahashi / Msieve 1.51 snfs for P42 x P56 / January 8, 2015 2015 年 1 月 8 日)
7×10117-4579 = (7)11527<117> = 258991 × 14363399079173<14> × 2252364899534044066301<22> × 157320941781395714801132360575146631<36> × 590049358380553974496722839863144727854519<42> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P36 x P42 / January 6, 2015 2015 年 1 月 6 日)
7×10118-4579 = (7)11627<118> = 1046527 × 8859289 × 11853881821<11> × 10048042995493<14> × 72055790976383006917358623<26> × 97745158732480142479665141223649856099606678581556558311<56>
7×10119-4579 = (7)11727<119> = 32 × 13 × 1063 × 3673 × 130207867568322632843936622846721993999668329873728409<54> × 1307610049056322492769936541478055152623610926277870183541<58> (KTakahashi / Msieve 1.51 snfs for P54 x P58 / January 8, 2015 2015 年 1 月 8 日)
7×10120-4579 = (7)11827<120> = 23 × 24971 × 7660386137<10> × 13641249707837<14> × 2132079016181976891287455798026196983780697<43> × 6078321164271794022755110245715961852878908630583<49> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P43 x P49 / January 6, 2015 2015 年 1 月 6 日)
7×10121-4579 = (7)11927<121> = 17 × 139 × 22314517 × 6586915995971<13> × 4789345746433613760196690668460991<34> × 4675693158707665697929091834844921573029909466171980737968405517<64> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=4281329886 for P34 / December 29, 2014 2014 年 12 月 29 日)
7×10122-4579 = (7)12027<122> = 3 × 4133763749<10> × 5222383356419<13> × 31756974953604595320899293398692223000035138682613<50> × 37816449219463793099991995150010487531987500001903<50> (KTakahashi / Msieve 1.51 snfs for P50(3175...) x P50(3781...) / January 8, 2015 2015 年 1 月 8 日)
7×10123-4579 = (7)12127<123> = 1091 × 2366392321<10> × 301261776420983905271148870410464523878505778640357964219701578278004636668617600702129750230958687222600924757<111>
7×10124-4579 = (7)12227<124> = 97 × 14821 × 65933127929<11> × 32030405024363<14> × 1198107164593536140890169321249<31> × 2138181235482165705480342722655178040613773352825060157008922177<64> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P31 x P64 / January 6, 2015 2015 年 1 月 6 日)
7×10125-4579 = (7)12327<125> = 3 × 13 × 8581 × 9391734941570327720106823232423337095452501959090359507741<58> × 24746124546416216068245158091849885636131415892368592238183833<62> (KTakahashi / Msieve 1.51 snfs for P58 x P62 / January 8, 2015 2015 年 1 月 8 日)
7×10126-4579 = (7)12427<126> = 29 × 47 × 6451 × 814493435906270120030940669723251417145919184410189<51> × 108603805731740601319152243417170081997708979809385100948950318578211<69> (KTakahashi / Msieve 1.51 snfs for P51 x P69 / January 8, 2015 2015 年 1 月 8 日)
7×10127-4579 = (7)12527<127> = 432 × 3912131 × 1075239550026102929283660434760917914923523426256080700252311723670394716543836115240784034910489640933340487061809533<118>
7×10128-4579 = (7)12627<128> = 32 × 673 × 2444116970460636132778217777641514433767248133017517<52> × 5253829447562111408926162036166957961662550832700063931089115365554005283<73> (KTakahashi / Msieve 1.51 snfs for P52 x P73 / January 8, 2015 2015 年 1 月 8 日)
7×10129-4579 = (7)12727<129> = 7069 × 9766713667056378770994888203497862543221<40> × 57113069760465713940366771540243218211587<41> × 197248445705919762276072608723246665234707029<45> (KTakahashi / Msieve 1.51 snfs for P40 x P41 x P45 / January 8, 2015 2015 年 1 月 8 日)
7×10130-4579 = (7)12827<130> = 71 × 705269 × 1080077 × 177336175903935998617<21> × 810943001040828484608447725426595795521376832480052757792962183359972107723555074944773486376897<96>
7×10131-4579 = (7)12927<131> = 3 × 13 × 2039 × 1577798821<10> × 7182502532184349<16> × 1534591641738420496080163027365232669123318389437<49> × 56241054420081088855135798525068822736602683197775419<53> (KTakahashi / Msieve 1.51 snfs for P49 x P53 / January 8, 2015 2015 年 1 月 8 日)
7×10132-4579 = (7)13027<132> = 19 × 1427 × 100213 × 25227966524962720832407<23> × 73933932471487593924054392065376153333469030187699<50> × 153471536270826123329080345070008789465873885477631<51> (KTakahashi / Msieve 1.51 snfs for P50 x P51 / January 8, 2015 2015 年 1 月 8 日)
7×10133-4579 = (7)13127<133> = 2441 × 508267519071357724673213<24> × 1044793447617900332052178063493649437749<40> × 6000189324865074605549830019398126962338018451964082981141535416231<67> (KTakahashi / Msieve 1.51 snfs for P40 x P67 / January 8, 2015 2015 年 1 月 8 日)
7×10134-4579 = (7)13227<134> = 3 × 811053093881<12> × 31965756769223114487574442999347320957076895288704831036970066498908348704599133705756164511852425659862367258843781230589<122>
7×10135-4579 = (7)13327<135> = 2131726058443201982902744139052276407372929282112977<52> × 364858221203989190369882752318604995357132313171540119002139025812899058834112916751<84> (KTakahashi / Msieve 1.51 snfs for P52 x P84 / January 8, 2015 2015 年 1 月 8 日)
7×10136-4579 = (7)13427<136> = 109 × 197390614408821541<18> × 36013220004189816303327107<26> × 10037847182811885161592168665855197929135738992906671166078209916792907502834438830800333269<92>
7×10137-4579 = (7)13527<137> = 35 × 13 × 17 × 9394199 × 2705844469<10> × 83343066918901511<17> × 118908861163578674636801<24> × 5749243462571874779071364272737847951528537885476640649749857844872980843749<76>
7×10138-4579 = (7)13627<138> = definitely prime number 素数
7×10139-4579 = (7)13727<139> = 331 × 1314949537179176303<19> × 17869748910790147644596080230839941942055766310568587844229045132085066912157391846634920075136841118520630567376721139<119>
7×10140-4579 = (7)13827<140> = 3 × 61 × 1031 × 112474806737<12> × 3665139591600803803682208223305259528975114493627327801039516051494314041496864003520857289073866369125376958580685994547727<124>
7×10141-4579 = (7)13927<141> = 9109 × 19793 × 185098619396330150263085805574898667170061909153957339228996527<63> × 23306122474988002772766607898808018100631276420920318721342905545134173<71> (Serge Batalov / Msieve 1.51 snfs for P63 x P71 / January 11, 2015 2015 年 1 月 11 日)
7×10142-4579 = (7)14027<142> = 23 × 51773417308519<14> × 313966548233579<15> × 42584742477304016369<20> × 488521249635296875389452363756256654081111936776335947417193404183837619601873686377224395021<93>
7×10143-4579 = (7)14127<143> = 3 × 13 × 431 × 408053257093<12> × 689640836521710396864916307316288369882679<42> × 16442726562118531029717809702390946324608239547744318823452559274591888832005777003549<86> (Cyp / yafu v1.34.3 for P42 x P86 / January 17, 2015 2015 年 1 月 17 日)
7×10144-4579 = (7)14227<144> = 1110547 × 132108443 × 5301368743882286203261510681407762324911370411115139797893229220535634498094014760183244548439629742541441158005462853160505277887<130>
7×10145-4579 = (7)14327<145> = 135653699 × 57335537734048651174471680110822321017414923405647624675371202209368266307119113484533715352485727483021143255207348070750195892393452373<137>
7×10146-4579 = (7)14427<146> = 32 × 881 × 204521 × 221729 × 12034471 × 109016233 × 57151585381688782444486369018438201367543346073036307<53> × 2884896579763972907869280319541954557778121727186509735826854107<64> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P53 x P64 / January 18, 2015 2015 年 1 月 18 日)
7×10147-4579 = (7)14527<147> = 401 × 2753 × 992371 × 481124389 × 18394230667<11> × 62718305111479<14> × 324449587251371<15> × 8743827735368874451007363<25> × 450867310811808702857431669772317031479364497598609587219223749<63>
7×10148-4579 = (7)14627<148> = 43 × 18689066423<11> × 1809078518625763221373<22> × 1258384952838624631066986448467168731716492756573958369051<58> × 4251366383112254204910383181479907766775886111704351785541<58> (Cyp / yafu v1.34.3 for P58(1258...) x P58(4251...) / January 18, 2015 2015 年 1 月 18 日)
7×10149-4579 = (7)14727<149> = 3 × 13 × 103 × 313 × 97967 × 631436310560642969746192930941392047898623456162203194085452333980467243485856726944882168906316797490403616556037448405077142053112706761<138>
7×10150-4579 = (7)14827<150> = 19 × 40935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040935672514619883040933<149>
7×10151-4579 = (7)14927<151> = 853 × 13457 × 161308740848285932849575655459788307727<39> × 4200493778781226079429561400851709401182370627881355134041180451414936182802633513139239619278965155115581<106> (Serge Batalov / GMP-ECM B1=3000000, sigma=3730166072 for P39 x P106 / January 9, 2015 2015 年 1 月 9 日)
7×10152-4579 = (7)15027<152> = 3 × 86851144862834773<17> × 298509892608452117785089451388907512284275470754056948845498910638957862121118796156387887513556649331144561292678039482974261876720833<135>
7×10153-4579 = (7)15127<153> = 17 × 503131 × 94986817 × 831545346319985143623079890161<30> × 1151267540804156161882729683459366647459705844535967287517591428055473857895582191773277403255410695995980973<109> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=32223468 for P30 / December 30, 2014 2014 年 12 月 30 日)
7×10154-4579 = (7)15227<154> = 29 × 595627 × 33975257 × 126541487 × 61676385832938106562422286628924386417763769<44> × 1698120698472298804931492151661951334501130940536571307198973458958298092063125268938239<88> (Cyp / yafu v1.34.3 for P44 x P88 / January 16, 2015 2015 年 1 月 16 日)
7×10155-4579 = (7)15327<155> = 32 × 132 × 51135948571846007743443640879538315435751333187230623128059025494922930820366717802615238512674410110307546204982102417999853897289794725692161589597487<152>
7×10156-4579 = (7)15427<156> = 89 × 11615128924961<14> × 16546357934864880624762956520277964575033191662054047587880210181<65> × 45471478382836064446943456070074599825612893624773613086338805952726217192523<77> (Cyp / yafu v1.34.3 for P65 x P77 / January 15, 2015 2015 年 1 月 15 日)
7×10157-4579 = (7)15527<157> = 12227 × 23462188111133<14> × 452698547291521<15> × 569179938371961419<18> × 105222452676395281273773534498711318410583550597594748249464181016401909819068119574886024729529440665474603<108>
7×10158-4579 = (7)15627<158> = 3 × 25925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925925909<158>
7×10159-4579 = (7)15727<159> = 6271 × 62311 × 535804872761<12> × 41016683587472098969<20> × 21419939620614115584185839958321183<35> × 4228326987388039942244691604184906880503107496163107404859712143976044245280153091961<85> (Ignacio Santos / GMP-ECM 7.0 B1=43000000, sigma=1:4007769291 for P35 x P85 / January 13, 2015 2015 年 1 月 13 日)
7×10160-4579 = (7)15827<160> = 134507 × 25538647157<11> × 11021883937088327<17> × 987090355692617999037386114666375303498147<42> × 208113385425599076944702677320702337755178887878850527455431868278164482401791517974117<87> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P42 x P87 / January 22, 2015 2015 年 1 月 22 日)
7×10161-4579 = (7)15927<161> = 3 × 13 × 229 × 14783 × 4852699 × 1244463368286331<16> × 97550026775792372922343193384158431851166952475936995764395559304774460471627348457099313817968337032797021116058103410994736510371<131>
7×10162-4579 = (7)16027<162> = 586990042631<12> × 37501819190001723737<20> × 2038414821691861990551023<25> × 5555474372354494030385633497877794465490141543263<49> × 3120029812298376327881659742037356493454594904504653787009<58> (Cyp / yafu v1.34.3 for P49 x P58 / January 9, 2015 2015 年 1 月 9 日)
7×10163-4579 = (7)16127<163> = 197 × 3769 × 115649427802509445155210758669<30> × 1013028499317065152247454545547749723728549<43> × 89412454110716479560028501091507904149381562838510058940978055206440711242637654738219<86> (Serge Batalov / GMP-ECM B1=3000000, sigma=473946662 for P30 / January 9, 2015 2015 年 1 月 9 日) (Jo Yeong Uk / GMP-ECM 6.4.4 B1=3000000, sigma=8252222028 for P43 x P86 / February 1, 2015 2015 年 2 月 1 日)
7×10164-4579 = (7)16227<164> = 33 × 23 × 27751 × 24640822643<11> × 4992700736501<13> × 2940448159903445353298993<25> × 12476162646104411675611501593576471081943282301701354788802054742405471752579128593123277064105542754323622963<110>
7×10165-4579 = (7)16327<165> = 71 × 3206269541<10> × 3678051452453541250395975712139171129321<40> × 928922221726699142100464541826169929384117583664955626444842477943155461559833025207300520788205395899050424515917<114> (Jo Yeong Uk / GMP-ECM 6.4.4 B1=3000000, sigma=2272616209 for P40 x P114 / February 22, 2015 2015 年 2 月 22 日)
7×10166-4579 = (7)16427<166> = 4456909241<10> × 118466884483883843881624426304132379467<39> × 7481455208935085326455018319776355458335196595735795007687<58> × 1968968157842263190759599145428894393923906310932155127700243<61> (Ignacio Santos / GMP-ECM 7.0 B1=3000000, sigma=1:4141960210 for P39 / February 22, 2015 2015 年 2 月 22 日) (Kai Inouye / for P58 x P61 / February 23, 2015 2015 年 2 月 23 日)
7×10167-4579 = (7)16527<167> = 3 × 13 × 59 × 139 × 1449209 × 7984789 × 15720632131<11> × 742029707653380780501743<24> × 1801516925972594013073055656199692016224944854600014842370932675045369960662752297379637421169422123488727701704921<115>
7×10168-4579 = (7)16627<168> = 19 × 181 × 121061 × 1211393 × 11351539723<11> × 842113401882253980383492177326564787348705041162651<51> × 161327604710391644694114004187242749530696638323867565321048594146361107664520033376442784917<93> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P51 x P93 / March 31, 2015 2015 年 3 月 31 日)
7×10169-4579 = (7)16727<169> = 17 × 43 × 2503 × 145441 × 155539 × 23140037 × 3900913433<10> × 106279782799<12> × 184997263820904475819<21> × 105877779495048147049633392257994751475682476005118204824971088436210082682446710587371926853583289144761<105>
7×10170-4579 = (7)16827<170> = 3 × 3203682253<10> × 1029960524249<13> × 1101401091456812970500389<25> × 51349219858858951343804306110970257<35> × 138926440458159716761057228518106174429495347195165275901581392374345732362600285116351789<90> (Pierre Jammes / GMP-ECM 6.4.4 B1=11000000, sigma=2477124240 for P35 x P90 / January 21, 2015 2015 年 1 月 21 日)
7×10171-4579 = (7)16927<171> = 12473 × 42359 × 53623 × 318476464712097531824323791701<30> × 86200633652544461108389826021565879843474228249159034044978566551086438935925402585862847403617277660275778552756548956853702507<128> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=3244905407 for P30 / December 30, 2014 2014 年 12 月 30 日)
7×10172-4579 = (7)17027<172> = 47 × 619 × 2083 × 33347 × 1599618551<10> × 10453036963356693137928239309<29> × 4550883525252201342433525238873542769023477<43> × 50578546608375889112368981115271605221576245486057228408101474722009681107271373<80> (Pierre Jammes / GMP-ECM 6.4.4 B1=11000000, sigma=420553910 for P43 x P80 / January 20, 2015 2015 年 1 月 20 日)
7×10173-4579 = (7)17127<173> = 32 × 13 × 208469 × 375607 × 22896257 × 3573527807<10> × 13981532082153410403932202621444791571366627497<47> × 7421267527549049529597442332961905757840022413559253454061464871072530187344759071561491678243719<97> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P47 x P97 / May 4, 2015 2015 年 5 月 4 日)
7×10174-4579 = (7)17227<174> = 439 × 10542017671958891<17> × 73362378493947708958565169671<29> × 10729310639669548298201965696498438723<38> × 213511881605985362910467139904095674215072950814071124400281449173798963174014949913703231<90> (Serge Batalov / GMP-ECM B1=3000000, sigma=1211403346 for P38 x P90 / January 8, 2015 2015 年 1 月 8 日)
7×10175-4579 = (7)17327<175> = 2671 × 8171 × 356374344959135037514432715502913770100537631936973629046859148421407510759361486937131477426365691019095153421421027529159579844625774838646551534232538098746637028947<168>
7×10176-4579 = (7)17427<176> = 3 × 487 × 73432187 × 301626022388723<15> × 2403532754015848570759961050883432780586206429642480553326289020386533633172592515110215461777890608929179548288624764361049178803392244235443928907107<151>
7×10177-4579 = (7)17527<177> = 16829 × 1741460520887<13> × 50055710304887309969<20> × 280732607577061699711<21> × 1019626884685553781127<22> × 1852233866095949440881353582761468583403858254451599517338536105803963374618114054519310596377788293<100>
7×10178-4579 = (7)17627<178> = 5113 × 1616649007<10> × 6022317146361485104853205493299668124208325633<46> × 156242930311244464314705310952116481780149958260918981045693843920440194693460870803404389251974720169135525959006650809<120> (Jo Yeong Uk / GMP-ECM 6.4.4 B1=11000000, sigma=3694232007 for P46 x P120 / October 11, 2015 2015 年 10 月 11 日)
7×10179-4579 = (7)17727<179> = 3 × 13 × 2029 × 2903 × 1073118466494726344281817022327224411912258319015989<52> × 315510758209566949506393120355029722293759158057636238821862128757760559286707239064799694141177920916423680498483454351<120> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P52 x P120 / December 19, 2015 2015 年 12 月 19 日)
7×10180-4579 = (7)17827<180> = 557 × 927961 × 162569767 × 359778038339<12> × 75821466047782189889411<23> × 339315736056027829766126615333078486805650550251239261936242977960886458667792391517925877831467885230479641183516027553695046157<129>
7×10181-4579 = (7)17927<181> = 661940355512039424220882396931<30> × 371620812682756704991272750738268500951522598266801651801369072996801527593<75> × 31618163651147099619067268786751895818434620335875718178730721036420361453069<77> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=3661205523 for P30 / December 30, 2014 2014 年 12 月 30 日) (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P75 x P77 / January 30, 2016 2016 年 1 月 30 日)
7×10182-4579 = (7)18027<182> = 32 × 29 × 121903589 × 259415056687<12> × 11686782305684298581<20> × 1218468842710823001163<22> × 574635391544674613349709<24> × 1411964465920861598997752113<28> × 10282311879462996610800524561<29> × 79320795103754873860304931967306500972059<41>
7×10183-4579 = (7)18127<183> = 103 × 266651716927<12> × 328109384999007177249037<24> × 86308837814387892911347249971220871204551123360095636720627310841463316115086972544205892703364839567052131676435096415151786778784773821493960691<146>
7×10184-4579 = (7)18227<184> = 12913321 × 40854362666949721<17> × 1213258139562909705018013718677777<34> × 12151389172811422275636693580118404266734548151605235028272914689272395085554592448452457335261381944724142150116606093870986511<128> (Cyp / GMP-ECM 6.4.4 B1=3000000, sigma=2569723630 for P34 x P128 / January 9, 2015 2015 年 1 月 9 日)
7×10185-4579 = (7)18327<185> = 3 × 13 × 17 × 5801 × 6763 × 31253 × 116239 × 30486126305422629806897443299568212903957731176028179<53> × 26999388472675012181173737122351641438972045882191290913590981042869810986062345983658061318792989979996458242931<113> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P53 x P113 / August 16, 2016 2016 年 8 月 16 日)
7×10186-4579 = (7)18427<186> = 19 × 23 × 31147 × 319931112666427<15> × 71859610519130234953<20> × 2485515840715863698380534549257603007844358224655447376177840564607442325181996548362077282711448796177133167489622094485532126472744592050734803<145>
7×10187-4579 = (7)18527<187> = 6853552201<10> × 43242834314621<14> × 605166631431973580292431211356929460662656517<45> × 43366131327850122404442982831675391952033843999491237332460462704005822778765817575528116950672073967120176877042381111<119> (LegionMammal978 / Msieve 1.53 snfs for P45 x P119 / March 9, 2017 2017 年 3 月 9 日)
7×10188-4579 = (7)18627<188> = 3 × 247393 × 104796521833382213425302760894309563835379036294179406555261975585105180526231243106821639763153872283880004389477171649666425185538499173080588076161920207628857428973034507548418613<183>
7×10189-4579 = (7)18727<189> = 47527 × 295799591 × 55324507917203824783299618638402839461597806277639003570518547882394616164763216050768778976313920329937904543005544201777592648712907424012723707282980866334112819133901608111<176>
7×10190-4579 = (7)18827<190> = 43 × 829 × 425003 × 24286519 × 21138554071875680081280973741684096056772436319279936171276723832105897148338467492542289982437109713445683127687480636819821359666070609434997635267382309325280925758152213<173>
7×10191-4579 = (7)18927<191> = 33 × 13 × 420193 × 527350789941763348956921645873839006254084298908674585777462048339690015988499992014779002874684832473012877943204933156904962453576754359701455176365250756991906627642798613968740289<183>
7×10192-4579 = (7)19027<192> = 1301 × 1369613176257181<16> × 8795306271632739482583792787<28> × 49628293438946106969477138022107717362378486726953035743602404111230492905224646254762976240884207918885091860664482315435585714999680560644927941<146>
7×10193-4579 = (7)19127<193> = 2961989 × 21395849 × [122727691434073171786641525079257381640880330786237379526999491087930750372697445378633135576932813997367881698700444455977339278707196019408069949898092753226480829027833306166107<180>] Free to factor
7×10194-4579 = (7)19227<194> = 3 × 131770735181<12> × [196750256347239237354755773083569208275266122087751562044811339906505593998913441684320824203218239202683544492942263490473633877432634750884701644988129786049037630783877123809350889<183>] Free to factor
7×10195-4579 = (7)19327<195> = 1879 × 3219247 × 3352117885547473438289829261822337<34> × [38357930466950100052444725300194840660795255961255698370564279252661535266480648854847365555773098922558245717109295450464816986269856274450391466005367<152>] (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=2692756690 for P34 / February 4, 2015 2015 年 2 月 4 日) Free to factor
7×10196-4579 = (7)19427<196> = 653 × 2969257 × 14827807451128325820901084737779033<35> × [270531364192723922917700857113160303496292567291620221969086031102672974478762059135931058355918541721889512175645623242006161333408603502893574808119739<153>] (Serge Batalov / GMP-ECM B1=3000000, sigma=1596959883 for P35 / January 9, 2015 2015 年 1 月 9 日) Free to factor
7×10197-4579 = (7)19527<197> = 3 × 13 × 602907575098435017362969<24> × 3307807160950648607579315461496402796480180541516222222936025978837481235524576839382536950733710003957991970511836745411881357957308645830297248382296977565844175304126097<172>
7×10198-4579 = (7)19627<198> = 1151 × 4493 × 23822225869319<14> × 6313373024291364595119644936484589678624452190534324183164047416617078629073931225043580892312247297260876436254587961593496363204235796053546700212267409776608861532807843187731<178>
7×10199-4579 = (7)19727<199> = 75415413949<11> × [103132468158797532476271388420245476438149594672030933968636112110691582166784212949938491860889882042988741823656946453735333826030309969594857441571765518623789816065864975522601938238123<189>] Free to factor
7×10200-4579 = (7)19827<200> = 32 × 61 × 71 × 89 × 131 × 311 × 325237513 × 12255282593<11> × 138063597187896637818472367931135432769987650236500349031679280283764734633185650037323146636137802000274370748625625901020915077310800395888229292289353358799236534889393<171>
7×10201-4579 = (7)19927<201> = 17 × 1941535390741253897<19> × [23564666503174430262731388784937925708005011923522317278051029734641821307736597329796265443840181442863638858725526512173318576455217746841770648806773515016826609151218174912496023<182>] Free to factor
7×10202-4579 = (7)20027<202> = 1101624321199<13> × 10924855540744459<17> × 7865379374174945828144841467560749199343799899051<49> × 558128106640181031890759904443851145982029780949769<51> × 147215230560128650043949749649406847633019537335620909085085716364255980113<75> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1976856324 for P49, Msieve 1.50 gnfs for P51 x P75 / January 17, 2017 2017 年 1 月 17 日)
7×10203-4579 = (7)20127<203> = 3 × 13 × 1741 × 12184531 × 60279817783<11> × 530470563119765911<18> × 17549466346453151810383108634077009<35> × 214805368947386730685128606165024028178528893285566924839<57> × 779903857584054839062986169431127206068198051625481360297999663391844041<72> (Serge Batalov / GMP-ECM B1=3000000, sigma=2414103358 for P35 / January 9, 2015 2015 年 1 月 9 日) (Erik Branger / GGNFS, Msieve gnfs for P57 x P72 / February 16, 2015 2015 年 2 月 16 日)
7×10204-4579 = (7)20227<204> = 193 × 113395214721938734185417375386758678783755325525262833908409065137451199559378594223323775736663912782880562440265020816121559670181918323046767426414605303656185708963081757949814517827347685927653853<201>
7×10205-4579 = (7)20327<205> = 2830973 × [2747386774009422830163967575027306080904967224264511804873369607473394404601448963934936072430848961744876329720480477128456462770142201207068303999288505322296531184782679939998642790933639345121899<199>] Free to factor
7×10206-4579 = (7)20427<206> = 3 × 389 × [66647624488241454822431686184899552508807007521660477958678472817290298010092354565362277444539655336570503665619346853280015233742740169475387984385413691326287727316004950966390555079501094925259449681<203>] Free to factor
7×10207-4579 = (7)20527<207> = 499 × 475637 × 155868551 × 397065547 × 2270492274552088315625347486811310918495173<43> × 23320541031103916359806378009214669565583495895410230317984988534426670020619340064588112233287802327129828875623938320660537168959455385809<140> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=2943142336 for P43 x P140 / January 16, 2017 2017 年 1 月 16 日)
7×10208-4579 = (7)20627<208> = 23 × 339615308322119851523<21> × [995727350685222711571410450860921099892969227291431201889671085696372311637336652045884417071797358918108862801722929728585517038100675742007575599410704207105562377309657859524340842163<186>] Free to factor
7×10209-4579 = (7)20727<209> = 32 × 13 × 3653659 × 117610336815737<15> × 15466696090906081061<20> × [100022708676504422387569850780082312911868575187466445482912126674186469084551862973513591427134080082383853683086925107239518659701295056837355150237966023645361370637<168>] Free to factor
7×10210-4579 = (7)20827<210> = 29 × 39791 × 1046047 × 79523291 × [8102651052905087615798985665199382415498294433488397807666482886259450168953237648882496113325124427521868533925664469135950633320441950195185825881235293891387256135704785000351292529995809<190>] Free to factor
7×10211-4579 = (7)20927<211> = 43 × 2099 × 77687 × 1382005126097682970792369<25> × [802632297737458885564473882902557771015369566388702415644793275654272081930253856669396374622534069490524414011786039046961001951367621979303925150227642965476481224907448135737<177>] Free to factor
7×10212-4579 = (7)21027<212> = 3 × 31397 × 288817 × 2171257302170671057262726891352602483<37> × 1316776533376672628364822484641950888341447287425238391436264123192740155108879304685648285535361894977876462612097546369284706864484101654240554669134478793773824827<166> (Serge Batalov / GMP-ECM B1=3000000, sigma=1940321912 for P37 x P166 / January 9, 2015 2015 年 1 月 9 日)
7×10213-4579 = (7)21127<213> = 113 × 139 × 39031948263405088793842568035470766637<38> × 44011614816045746148924219342939951289<38> × 870790441576226820636595838078019806107395785675018570915891<60> × 33102523359678648777495515366356416233117775100309208706302732906995424147<74> (Serge Batalov / GMP-ECM B1=3000000, sigma=1958353267 for P38(4401...) / January 9, 2015 2015 年 1 月 9 日) (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=3230811204 for P38(3903...) / June 7, 2015 2015 年 6 月 7 日) (Erik Branger / GGNFS, Msieve gnfs for P60 x P74 / July 9, 2015 2015 年 7 月 9 日)
7×10214-4579 = (7)21227<214> = 397 × 24763 × 84555298883173<14> × [9356661910372781894485882801963283751034670456758826536601221818276879638278289632246727055515482527541590320280320573225570125898427294783430991683502798979444380711026996235273479370329624109<193>] Free to factor
7×10215-4579 = (7)21327<215> = 3 × 13 × 119569 × 1324207356151<13> × [12595526626865821719799512457812096085010607070027974997212133473921925589326968364576717144331330224499730042643447183548422936511542877757945181179942699129071786393536511915717568272750073291247<197>] Free to factor
7×10216-4579 = (7)21427<216> = 253530246361619<15> × [3067790880731470229704049767625867427504800450952583162423767013444453385427662106212021876835526119823950542978452387004163613842425474961649033179343880132142589362976860579102062765416434544897069733<202>] Free to factor
7×10217-4579 = (7)21527<217> = 17 × 103 × 227 × 3221 × 10559 × 68623147 × 85551251 × [98001566457065206670094222949839396035180779478159252273538788989194200306405788344887157540126457164178089161061608778284856962094594137436226262113928970215191460667480845623600233637897<188>] Free to factor
7×10218-4579 = (7)21627<218> = 34 × 47 × 659 × 3240961 × 65546357 × 36576356351<11> × [3989922271623206912815994462612459315838923806849826049799284619396224668810671821916016634229772657199215606479985144377525661236572020395160881376728645849866415027592411563554019962577<187>] Free to factor
7×10219-4579 = (7)21727<219> = 991 × 3389 × 40031 × 5785139930003066409676086142077035832912083615184810432335694597800060783710035846784937597328236586754068500960393031438086869276230839028697935038894918369038559719168083144044191395637441103289230908194283<208>
7×10220-4579 = (7)21827<220> = 97 × 24432610982569<14> × [3281813643116980537679983497293107047504903047701287593480852355273385469750618224974544015534866777769446023104881101841006921791360054945130885102190781856011638797857894705786379241625743013751645394439<205>] Free to factor
7×10221-4579 = (7)21927<221> = 3 × 13 × 1283 × 75371753969<11> × [20623180618512645125937209450438035830910193609282495139399258611002343957938420571916044358658189364222587943868959740170228369673843736296800826505034001892578295503117020242910004178112132392471892627859<206>] Free to factor
7×10222-4579 = (7)22027<222> = 19 × 307 × 24379 × 160656904860223<15> × [34044602751198020377061260256019316427201475025986574116755349611270143921652985316232200560461391273805122988266723445648869417862499036609615619869684211466120669385983504955551919279583304650086107<200>] Free to factor
7×10223-4579 = (7)22127<223> = 72613 × 2748335805263<13> × 28955684677216937<17> × 136946480871595333<18> × 377916282087974436151211<24> × 26007046616478093908414756199193404342584856699229248191827997007465275557021577933109487734187130726450666820405240512616716635103985974052205617043<149>
7×10224-4579 = (7)22227<224> = 3 × 16937 × 4133209 × 36806327052139748401422719027<29> × [10062084058667995346849356188319017452640409849444644435957258433847692736474309812228251177672498966572187839095627432597825512727397611314957840000240311080086613223340551309537789399<185>] Free to factor
7×10225-4579 = (7)22327<225> = 59 × 26981 × 231237897194987683371966901654031<33> × [2112936598251978899603991025584153535440732048414331805016998627355323913635333635105189965685615527684229756091468567300396046707461202558957908238452710270019250593044652526803180650023<187>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=2021194759 for P33 / December 30, 2014 2014 年 12 月 30 日) Free to factor
7×10226-4579 = (7)22427<226> = 20704637866966169994821795210352535483242085428130159<53> × 375653891063077444882009269372297331114288368366213756088337972793441994276071591338319575910019550633957958368884006504959291205557749680872654267138839379818381312972552753<174> (Serge Batalov / GMP-ECM B1=43000000, sigma=1326684426 for P53 x P174 / January 12, 2015 2015 年 1 月 12 日)
7×10227-4579 = (7)22527<227> = 32 × 13 × 193 × 12277 × 216967 × 3907823749<10> × 1976268564275983<16> × 571072921339499273<18> × 1667868718637105877670026956359<31> × 93147681415165435989004132020140207517479494883619930617426459<62> × 1887209044623923778521972671937868914077985116880718448952539883386618512159703<79> (Serge Batalov / GMP-ECM B1=3000000, sigma=1375094743 for P31 / January 9, 2015 2015 年 1 月 9 日) (Erik Branger / GGNFS, Msieve gnfs for P62 x P79 / September 6, 2016 2016 年 9 月 6 日)
7×10228-4579 = (7)22627<228> = 8648083 × 107606803027<12> × 3774852363199<13> × 21377224054114519<17> × [10357255093241435936784033158958959324520947618083211906089765948981928682348903119135302581398897949063711070419285539918651505753227754067782413465388220584851505981554314070515087<182>] Free to factor
7×10229-4579 = (7)22727<229> = 1871 × 34652921 × [119961501944033860193464818384556041711450933424332436635794730725404304551218579610836252144875214310940242402083970036834531464572091558698229207302437081579503721775332383577903788132466303350044783841708358346126297<219>] Free to factor
7×10230-4579 = (7)22827<230> = 3 × 23 × 699493 × 154874780703953<15> × 324873044037839202151565413<27> × [32027916300134924076693274445222165234811269993463873215972665948167054885069627443630924269416225512092868509760725327303440523265083613944447208906687229818832132984975544466073979<182>] (Serge Batalov / GMP-ECM B1=3000000, sigma=642475965 for P27 / January 9, 2015 2015 年 1 月 9 日) Free to factor
7×10231-4579 = (7)22927<231> = 237746027461<12> × 3271464874025560355008559003675094335366366770763671674125284693005707028290936856478598008037981202824762422951287849690266660357545522108553646138257220626619342282032166139041091894586463118365457607463201985441555507<220>
7×10232-4579 = (7)23027<232> = 43 × 1739576948713<13> × [103978471952848375459042922917988662716438953617205553845474290734884688571766153593863104606136217116171545217971386820086668208802200417926128147450910681899353906129101880627428235695403023257198632407863319923731253<219>] Free to factor
7×10233-4579 = (7)23127<233> = 3 × 132 × 17 × 120188413 × 2487309270152791866819432538673<31> × [30186048168061151378318904789651178988555550077068815831608075367420966492019456711211738000146192779888168313737315877121242582464446748777679671876117288001611685363236903220404902328470417<191>] (Serge Batalov / GMP-ECM B1=3000000, sigma=1232242446 for P31 / January 9, 2015 2015 年 1 月 9 日) Free to factor
7×10234-4579 = (7)23227<234> = 26849 × 197647 × [146567334216231545754818772550625349551484496297076144788797153665351119125151637435935094457313002996243538248797293418979349550116018035689793164876661474442008897153648334651622647154973800634964185399913316188228706753009<225>] Free to factor
7×10235-4579 = (7)23327<235> = 71 × 570853 × 1821019 × 2860271 × 35496114447467<14> × 56317992914325276396958036566590364823<38> × 18429911481911818677068930183406634931928322412077108825740791087153782807571779920740242295298341353058862141693851748113354684890606435096249716299018356876557781<164> (Serge Batalov / GMP-ECM B1=3000000, sigma=1482438681 for P38 x P164 / January 9, 2015 2015 年 1 月 9 日)
7×10236-4579 = (7)23427<236> = 32 × 78685450172876999<17> × 321344964273239856643<21> × 69446965891496631935378306564439977<35> × [4921458331171423806740094899920494730179641215442615639505752282241388155320430138897946386019140826672878506698315804893350597093529004552720469758420586139239027<163>] (Serge Batalov / GMP-ECM B1=3000000, sigma=4212460543 for P35 / January 9, 2015 2015 年 1 月 9 日) Reserved
7×10237-4579 = (7)23527<237> = 717989 × 330058843 × 42475374048671517456157<23> × 200906258716489728342948029927<30> × [384605675444810351498061124109980902030254400918311751362311597194477224607176205748673333262404429243158544166441265349785184596109186102133016333932818083796132785140859<171>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=3191617518 for P30 / December 30, 2014 2014 年 12 月 30 日) Free to factor
7×10238-4579 = (7)23627<238> = 29 × 362427916411009129<18> × 23637503934084534359<20> × 31306482634707064700524471320109483783094780846634794235634021226994454910302557574266238457801489740014317814388714875619398696270181518075692927521786357819348808856475633443355353426896825473688933<200>
7×10239-4579 = (7)23727<239> = 3 × 13 × 1379336281<10> × 1458996716623<13> × 4605206105179<13> × 1188100741019661451<19> × 181119041342852274863712216926458171625223929395276039460242227830566206097365211376330204866926053928031370656637189366275830656763163325798291116314193983375110249714344120949749613959<186>
7×10240-4579 = (7)23827<240> = 19 × 24107 × 2855357 × 530103887216902948279921<24> × [1121856627248764209611837765228492144457877586162926908179666627872873142423932830709483687440835580892142260500841476427544801927433974056940539600803998135119369686239824089669439079673803325384739559627<205>] Free to factor
7×10241-4579 = (7)23927<241> = 571 × 4289 × 4194433 × 4955761 × 152784663110121192082597098184263263350311384508342688956950371389033230051083357389277105141623162057891267327045374746100279405424473906997652780808945916637474140366684743421813066612173047655161461664143668716310725341<222>
7×10242-4579 = (7)24027<242> = 3 × 7547 × 158712283 × 19202992565721571<17> × 203044904281620319871783101013<30> × 348863087682410857432645471380779<33> × 15912314663473618279444808218750417206709186301737608663755491480700843978780394108345875144800027419907128400529868064847686196974930041683570153860777<152> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=2437120791 for P30, B1=1e6, sigma=2719327508 for P33 / December 30, 2014 2014 年 12 月 30 日)
7×10243-4579 = (7)24127<243> = 1031 × 7121 × 9173 × 2838502838896553921885704680149<31> × 4068695167438217065064725182504696779006912360999907442464079770056952972545605198700552332906599149391888992553772788760622798173124658606897327327521709638303903489609792410078574273047970267706345601<202> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=1874976226 for P31 / December 30, 2014 2014 年 12 月 30 日)
7×10244-4579 = (7)24227<244> = 89 × 109 × 283 × 34816603 × 214182283224803<15> × 707177725232233<15> × 1996427927727179<16> × 79378442679561513182381230097<29> × [3389985710578789953053080956179339315840638143824722691732756217665369494872712477834883811425650004426799128247948876974110398189381933010761424821634561379<157>] Free to factor
7×10245-4579 = (7)24327<245> = 33 × 13 × 6961 × 191726045742741113<18> × 9747885423312849131683919832707<31> × [17032768715365082479029651827988462752541938827977266661775324286070833292180083212806099519064330226100763705713427997369009838193805611184872247623826393772626647392174838082262565080091027<191>] (Serge Batalov / GMP-ECM B1=3000000, sigma=1623345385 for P31 / January 9, 2015 2015 年 1 月 9 日) Free to factor
7×10246-4579 = (7)24427<246> = 293 × 28302266386079529527<20> × [93792194185417041023893130501105356465946688353759015749522857838981655449041306024209174489936776017102620058802124317035336308743853010996444708271612817451884747062059316131573937625160524816575708114876915556004119284357<224>] Free to factor
7×10247-4579 = (7)24527<247> = 14461 × 2191042426689777526182110987<28> × 245474518748147328478910793377103860266013260885742971284208170674260967703295320960736210033495746026452753757483458379123027592929021702526656517198991224612439371646779626750110565471099912440937437616729016444961<216>
7×10248-4579 = (7)24627<248> = 3 × 14551 × 137339 × 201653 × [64334342509366510875029597172387636425089002014649867429640231412774238509218869729308271587675997448887051399395243765786835913059031291287374962184961335313455761019730929617047784357789329286089796489914588101416292167191837896677<233>] Free to factor
7×10249-4579 = (7)24727<249> = 17 × 331 × 1966874977<10> × [70275162779199554268953569694982488253606017882275437341466271657803502733895517270138501018044064795998609477080442583172160810934388718762943827680590208961971683179225586701037916158383708663449573964204664168191267575027983399568813<236>] Free to factor
7×10250-4579 = (7)24827<250> = 159348257319745939<18> × 1031470367261584221059679332755860283<37> × 135522921191814532641682010139928596930471782917366709837<57> × 3270141274464697988805886120785158745749554330564986532549106563<64> × 106775640945002815928474493150521381029244502709778901857643596574797641320841<78> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=3971813265 for P37 / April 22, 2015 2015 年 4 月 22 日) (Dmitry Domanov / GMP-ECM B1=43000000, sigma=1607435562 for P57 / June 20, 2015 2015 年 6 月 20 日) (Erik Branger / GGNFS, Msieve gnfs for P64 x P78 / October 17, 2016 2016 年 10 月 17 日)
plain text versionプレーンテキスト版

4. Related links 関連リンク