Table of contents 目次

  1. About 77...7767 77...7767 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...7767 77...7767 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...7767 77...7767 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...7767 77...7767 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

7w67 = { 67, 767, 7767, 77767, 777767, 7777767, 77777767, 777777767, 7777777767, 77777777767, … }

1.3. General term 一般項

7×10n-979 (2≤n)

2. Prime numbers of the form 77...7767 77...7767 の形の素数

2.1. Last updated 最終更新日

March 18, 2013 2013 年 3 月 18 日

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

  1. 7×102-979 = 67 is prime. は素数です。
  2. 7×1011-979 = 77777777767<11> is prime. は素数です。
  3. 7×1024-979 = (7)2267<24> is prime. は素数です。
  4. 7×1042-979 = (7)4067<42> is prime. は素数です。
  5. 7×1056-979 = (7)5467<56> is prime. は素数です。
  6. 7×10336-979 = (7)33467<336> is prime. は素数です。 (discovered by: (発見: Makoto Kamada / August 27, 2004 2004 年 8 月 27 日) (certified by: (証明: Erik Branger / Primo 3.0.9 / April 10, 2010 2010 年 4 月 10 日)
  7. 7×10738-979 = (7)73667<738> 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)
  8. 7×102712-979 = (7)271067<2712> 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 4.0.1 - LX64 / January 1, 2013 2013 年 1 月 1 日)
  9. 7×103498-979 = (7)349667<3498> 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 4.0.1 - LX64 / March 17, 2013 2013 年 3 月 17 日)
  10. 7×108984-979 = (7)898267<8984> is PRP. はおそらく素数です。 (Ray Chandler / srsieve, PFGW / October 9, 2010 2010 年 10 月 9 日)
  11. 7×1014036-979 = (7)1403467<14036> is PRP. はおそらく素数です。 (Ray Chandler / srsieve, PFGW / November 1, 2010 2010 年 11 月 1 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

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

  1. 7×103k+1-979 = 3×(7×101-979×3+7×10×103-19×3×k-1Σm=0103m)
  2. 7×106k+3-979 = 13×(7×103-979×13+7×103×106-19×13×k-1Σm=0106m)
  3. 7×1015k+10-979 = 31×(7×1010-979×31+7×1010×1015-19×31×k-1Σm=01015m)
  4. 7×1016k+6-979 = 17×(7×106-979×17+7×106×1016-19×17×k-1Σm=01016m)
  5. 7×1018k+5-979 = 19×(7×105-979×19+7×105×1018-19×19×k-1Σm=01018m)
  6. 7×1022k+5-979 = 4093×(7×105-979×4093+7×105×1022-19×4093×k-1Σm=01022m)
  7. 7×1022k+16-979 = 23×(7×1016-979×23+7×1016×1022-19×23×k-1Σm=01022m)
  8. 7×1028k+9-979 = 29×(7×109-979×29+7×109×1028-19×29×k-1Σm=01028m)
  9. 7×1033k+2-979 = 67×(7×102-979×67+7×102×1033-19×67×k-1Σm=01033m)
  10. 7×1035k+26-979 = 71×(7×1026-979×71+7×1026×1035-19×71×k-1Σm=01035m)

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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 13.78%. 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 13.78% です。

3. Factor table of 77...7767 77...7767 の素因数分解表

3.1. Last updated 最終更新日

September 3, 2018 2018 年 9 月 3 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=190, 191, 192, 194, 197, 199, 202, 206, 208, 209, 212, 215, 216, 217, 218, 219, 221, 225, 226, 227, 229, 231, 234, 236, 239, 240, 241, 243, 244, 245, 247, 249 (32/250)

3.4. Factor table 素因数分解表

7×102-979 = 67 = definitely prime number 素数
7×103-979 = 767 = 13 × 59
7×104-979 = 7767 = 32 × 863
7×105-979 = 77767 = 19 × 4093
7×106-979 = 777767 = 17 × 45751
7×107-979 = 7777767 = 3 × 2592589
7×108-979 = 77777767 = 197 × 394811
7×109-979 = 777777767 = 13 × 29 × 761 × 2711
7×1010-979 = 7777777767<10> = 3 × 31 × 307 × 272417
7×1011-979 = 77777777767<11> = definitely prime number 素数
7×1012-979 = 777777777767<12> = 32413 × 23995859
7×1013-979 = 7777777777767<13> = 33 × 8161 × 35297861
7×1014-979 = 77777777777767<14> = 1181 × 65857559507<11>
7×1015-979 = 777777777777767<15> = 13 × 59829059829059<14>
7×1016-979 = 7777777777777767<16> = 3 × 23 × 5479 × 20573355917<11>
7×1017-979 = 77777777777777767<17> = 5437 × 14305274559091<14>
7×1018-979 = 777777777777777767<18> = 193 × 787 × 5120631095837<13>
7×1019-979 = 7777777777777777767<19> = 3 × 3847 × 441697 × 1525764971<10>
7×1020-979 = 77777777777777777767<20> = 347 × 19919 × 1594267 × 7058257
7×1021-979 = 777777777777777777767<21> = 13 × 1321 × 45290734162800779<17>
7×1022-979 = 7777777777777777777767<22> = 32 × 17 × 727 × 5751047 × 12158577631<11>
7×1023-979 = 77777777777777777777767<23> = 19 × 407191957 × 10053163332649<14>
7×1024-979 = 777777777777777777777767<24> = definitely prime number 素数
7×1025-979 = 7777777777777777777777767<25> = 3 × 31 × 257020219 × 325390817272201<15>
7×1026-979 = 77777777777777777777777767<26> = 47 × 71 × 15767 × 1478258062343975273<19>
7×1027-979 = 777777777777777777777777767<27> = 13 × 4093 × 14617410170793996838463<23>
7×1028-979 = 7777777777777777777777777767<28> = 3 × 1847 × 4597 × 305346451034318136271<21>
7×1029-979 = 77777777777777777777777777767<29> = 2153 × 14221 × 346939 × 7321975004434481<16>
7×1030-979 = 777777777777777777777777777767<30> = 127 × 283 × 10037 × 9668297 × 223003390964183<15>
7×1031-979 = 7777777777777777777777777777767<31> = 32 × 80691007 × 10709960911309453987409<23>
7×1032-979 = 77777777777777777777777777777767<32> = 44651 × 1741904498841633508270313717<28>
7×1033-979 = 777777777777777777777777777777767<33> = 13 × 139 × 430424890856545532804525610281<30>
7×1034-979 = 7777777777777777777777777777777767<34> = 3 × 971 × 2670023267345615440363123164359<31>
7×1035-979 = 77777777777777777777777777777777767<35> = 61 × 67 × 310429703 × 61303832153165268766247<23>
7×1036-979 = 777777777777777777777777777777777767<36> = 4972651 × 156411092951783219409079337717<30>
7×1037-979 = 7777777777777777777777777777777777767<37> = 3 × 29 × 6067 × 7321 × 138637 × 18581597 × 781321342010267<15>
7×1038-979 = 77777777777777777777777777777777777767<38> = 17 × 23 × 374137 × 69985649 × 21107016803<11> × 359925207283<12>
7×1039-979 = 777777777777777777777777777777777777767<39> = 13 × 131 × 383 × 1192455301238909952760031487633983<34>
7×1040-979 = 7777777777777777777777777777777777777767<40> = 34 × 31 × 477881 × 6481701907959116401132492994737<31>
7×1041-979 = 77777777777777777777777777777777777777767<41> = 19 × 40927 × 100021190203581701666224430118552259<36>
7×1042-979 = 777777777777777777777777777777777777777767<42> = definitely prime number 素数
7×1043-979 = 7777777777777777777777777777777777777777767<43> = 3 × 461 × 1889 × 43889 × 17626241 × 3848451369609431879237809<25>
7×1044-979 = 77777777777777777777777777777777777777777767<44> = 35267 × 2205398184642237155918501085370963727501<40>
7×1045-979 = 777777777777777777777777777777777777777777767<45> = 13 × 3375599 × 69633659552155903<17> × 254531835227986537747<21>
7×1046-979 = 7777777777777777777777777777777777777777777767<46> = 3 × 2592592592592592592592592592592592592592592589<46>
7×1047-979 = 77777777777777777777777777777777777777777777767<47> = 57641 × 86257 × 14100167 × 2049241309<10> × 541392601085933139997<21>
7×1048-979 = 777777777777777777777777777777777777777777777767<48> = 1755263 × 168721771 × 2626287139344598975914551381187979<34>
7×1049-979 = 7777777777777777777777777777777777777777777777767<49> = 32 × 4093 × 211140369133691065444465558481357813550988891<45>
7×1050-979 = 77777777777777777777777777777777777777777777777767<50> = 13171 × 13560193 × 18710803 × 23274399453847841049418734862063<32>
7×1051-979 = 777777777777777777777777777777777777777777777777767<51> = 13 × 5103362657<10> × 11723458403841949235752512155645502474787<41>
7×1052-979 = (7)5067<52> = 3 × 107 × 827 × 29298473172853039277114585910029411481569376901<47>
7×1053-979 = (7)5167<53> = 2348254087<10> × 1153669938139<13> × 1598817465367<13> × 17956842926686012357<20>
7×1054-979 = (7)5267<54> = 17 × 2267 × 1675787 × 4975684202807707<16> × 2420379485547726291563551117<28>
7×1055-979 = (7)5367<55> = 3 × 31 × 13121 × 6332171059479773362949<22> × 1006590918823438482272933111<28>
7×1056-979 = (7)5467<56> = definitely prime number 素数
7×1057-979 = (7)5567<57> = 13 × 1097297 × 14591957921813084017<20> × 3736581143252668631560228127491<31>
7×1058-979 = (7)5667<58> = 32 × 103553 × 250806717067<12> × 33274471968632793236785066357032317863213<41>
7×1059-979 = (7)5767<59> = 19 × 764166782117794987<18> × 5356902900329122126888048916530630130839<40>
7×1060-979 = (7)5867<60> = 23 × 1513127831<10> × 9732037699<10> × 152106780970622417<18> × 15097315021494319798573<23>
7×1061-979 = (7)5967<61> = 3 × 59 × 71 × 229 × 18742299811<11> × 144200096948627716353884285777602650476929279<45>
7×1062-979 = (7)6067<62> = 179 × 1871 × 169729801 × 14508569900860129<17> × 94307450342543236803289989053947<32>
7×1063-979 = (7)6167<63> = 13 × 2087 × 498972317 × 57453074954124802764965047376744152437218717146121<50>
7×1064-979 = (7)6267<64> = 3 × 181 × 3648171267730996956462871<25> × 3926272899485683924358813795984856239<37>
7×1065-979 = (7)6367<65> = 29 × 9209 × 2816831 × 46301465039106034081<20> × 2233004175728129101433795196489077<34>
7×1066-979 = (7)6467<66> = 979918979510309561620661413943<30> × 793716413337001714339332881219269969<36> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=3133575909 for P30 / January 3, 2015 2015 年 1 月 3 日)
7×1067-979 = (7)6567<67> = 33 × 225227 × 682310567117<12> × 1079615503159<13> × 1736281366907877162155432881575102541<37>
7×1068-979 = (7)6667<68> = 67 × 157 × 4769117 × 103689857089301215129<21> × 14952259389530253751912607071916051501<38>
7×1069-979 = (7)6767<69> = 132 × 337 × 2037331573<10> × 17262279587057<14> × 388310436537709124582475625940345850398899<42>
7×1070-979 = (7)6867<70> = 3 × 17 × 31 × 4919530536228828448942300934710801883477405299037177595052357860707<67>
7×1071-979 = (7)6967<71> = 4093 × 43232559368729<14> × 11796764952206713<17> × 37259747983691776527336005511865828547<38>
7×1072-979 = (7)7067<72> = 47 × 109 × 127 × 257324938285403<15> × 1484426381427168119<19> × 3129586158842888166341608236768511<34>
7×1073-979 = (7)7167<73> = 3 × 834287 × 11100299172442423<17> × 554420598274741061<18> × 504945793212992258318616520492049<33>
7×1074-979 = (7)7267<74> = 1193 × 19803205509509<14> × 209014997465833120460704727<27> × 15750782820995670852971648926133<32> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=391418131 for P32 / January 3, 2015 2015 年 1 月 3 日)
7×1075-979 = (7)7367<75> = 13 × 1709 × 219217 × 281453141897957<15> × 16762350231534858473<20> × 33849703880284089343550709959323<32>
7×1076-979 = (7)7467<76> = 32 × 389 × 1321 × 1516061 × 5567183 × 14381041 × 18084967 × 766126322307628717607181001517761771989407<42>
7×1077-979 = (7)7567<77> = 19 × 8011 × 59419 × 952146691 × 9032043008464951262648608304889400529769152610174580645447<58>
7×1078-979 = (7)7667<78> = 227 × 5820497 × 108169027 × 1130715241<10> × 686098347699471260257577<24> × 7014990075671521208403717487<28>
7×1079-979 = (7)7767<79> = 3 × 139 × 1567 × 2719 × 1603751292487<13> × 84162413146289128440800939<26> × 32432921645802003210377929158659<32>
7×1080-979 = (7)7867<80> = 113 × 503 × 1092887 × 1252085084463993371071685016632739679205589032411273996472971228691719<70>
7×1081-979 = (7)7967<81> = 13 × 841446595976647469<18> × 71102622691838966403545273524413400288699252181795132362840111<62>
7×1082-979 = (7)8067<82> = 3 × 23 × 6313361 × 234247070179412037934318189133<30> × 76220474660956760758859654714227830204838711<44> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P30 x P44 / January 6, 2015 2015 年 1 月 6 日)
7×1083-979 = (7)8167<83> = 463 × 36161 × 17172724230523<14> × 92314521399421<14> × 217325461259947<15> × 13483861382762612528383204229584469<35>
7×1084-979 = (7)8267<84> = 167 × 40670499164565002869<20> × 29257823252781865098776678447<29> × 3913970470415918322848085715681907<34>
7×1085-979 = (7)8367<85> = 32 × 31 × 207521 × 1800003743<10> × 300415681144373<15> × 248423839261631848546343578115611168436561943024836467<54>
7×1086-979 = (7)8467<86> = 17 × 2371 × 6719102013284630519375077765600876800919<40> × 287186367440826550957688773157041224660299<42> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P40 x P42 / January 6, 2015 2015 年 1 月 6 日)
7×1087-979 = (7)8567<87> = 13 × 313 × 418949756263883532187240830715998921430963<42> × 456253173908014726788457018560009352997561<42> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P42(4189...) x P42(4562...) / January 6, 2015 2015 年 1 月 6 日)
7×1088-979 = (7)8667<88> = 3 × 349 × 1297 × 38351 × 8275195823488469<16> × 18047369100075941530672307318991729164161416243589872125587027<62>
7×1089-979 = (7)8767<89> = 233 × 457 × 201561375637<12> × 1528904932171379809340045644648924871<37> × 2370257961958445517536370726732498541<37> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P37(1528...) x P37(2370...) / January 6, 2015 2015 年 1 月 6 日)
7×1090-979 = (7)8867<90> = 32633 × 13876493 × 464112429051695274726269966798363<33> × 3700799950273771635328749283609786613407781761<46> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P33 x P46 / January 6, 2015 2015 年 1 月 6 日)
7×1091-979 = (7)8967<91> = 3 × 5905442102486451112175311<25> × 534149320551082284629514856001<30> × 821900376808004981203002143959964899<36> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=2500156234 for P30 / January 3, 2015 2015 年 1 月 3 日)
7×1092-979 = (7)9067<92> = 568709 × 8025042192398432474275012636943581860984361<43> × 17041903626176634253420711723916364163998083<44> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P43 x P44 / January 6, 2015 2015 年 1 月 6 日)
7×1093-979 = (7)9167<93> = 13 × 29 × 4093 × 80792338416098145281<20> × 59629258946104253287481629406053<32> × 104626776539868508728817777646120879<36> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P32 x P36 / January 6, 2015 2015 年 1 月 6 日)
7×1094-979 = (7)9267<94> = 33 × 8671099 × 2210116421<10> × 55793277142793367259<20> × 269414272342567870713606234523533247441221411356451293161<57>
7×1095-979 = (7)9367<95> = 19 × 61 × 70079 × 1210474543235137238387211454359547<34> × 791094815122402767686752853383111656627083326768134701<54> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P34 x P54 / January 6, 2015 2015 年 1 月 6 日)
7×1096-979 = (7)9467<96> = 71 × 10954616588419405320813771517996870109546165884194053208137715179968701095461658841940532081377<95>
7×1097-979 = (7)9567<97> = 3 × 7352134633<10> × 4774984121788052857675466417<28> × 73849726761775018807579721503047088504576512464015220494549<59>
7×1098-979 = (7)9667<98> = 709693 × 13435804121809<14> × 8156828763335054331973412931045379691075490298492845164200872782066660577503491<79>
7×1099-979 = (7)9767<99> = 13 × 59829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059<98>
7×10100-979 = (7)9867<100> = 3 × 31 × 982863619360523323529617193342060136467231<42> × 85090156425062567747764553950662026395029388691400596749<56> (KTakahashi / Msieve 1.51 snfs for P42 x P56 / January 8, 2015 2015 年 1 月 8 日)
7×10101-979 = (7)9967<101> = 67 × 6733 × 10250640779<11> × 16819810515955866849731064102658196483773240218287324396711383453503646146390893145443<86>
7×10102-979 = (7)10067<102> = 172 × 4793 × 4294687 × 3528552350276800548789446932933<31> × 37052897591780972575155124462593013654845648400799175086701<59> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=3835303330 for P31 / January 3, 2015 2015 年 1 月 3 日)
7×10103-979 = (7)10167<103> = 32 × 35419 × 400823 × 964605476825827938553<21> × 63106539812361696285086966906074783617817956117384201318519422762420483<71>
7×10104-979 = (7)10267<104> = 23 × 2179 × 4097785297<10> × 4797538483883<13> × 14299213316953<14> × 5520655565055399756337019664156825125949452872513918222605923017<64>
7×10105-979 = (7)10367<105> = 13 × 107 × 1069 × 991547 × 9693521 × 342233291 × 1122962463328184463323<22> × 141601659091843507134416965442782499119437564344590463503<57>
7×10106-979 = (7)10467<106> = 3 × 197 × 1543 × 13404144854403077<17> × 494670398346710869<18> × 148601739436564577105635239556021<33> × 8656118549742918978998820699881083<34> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P33 x P34 / January 6, 2015 2015 年 1 月 6 日)
7×10107-979 = (7)10567<107> = 149 × 521998508575689783743475018642803877703206562266964951528709917971662938105891126025354213273676360924683<105>
7×10108-979 = (7)10667<108> = 2880897479<10> × 8542260465476484022405089466455686001952639<43> × 31604936165472772426920287940826547399744840822867122207<56> (KTakahashi / Msieve 1.51 snfs for P43 x P56 / January 8, 2015 2015 年 1 月 8 日)
7×10109-979 = (7)10767<109> = 3 × 1627 × 8135839 × 359515997 × 378836221 × 85372053743266927919<20> × 16844531362348117507075424016016076755989858628705519325593871<62>
7×10110-979 = (7)10867<110> = 5351 × 15304543 × 384332059487<12> × 2471118662148876426420419824372558885212835665070838133485099803761490653689810584777537<88>
7×10111-979 = (7)10967<111> = 13 × 42709 × 4324399727<10> × 726848181442961<15> × 193126870665689227517<21> × 2307706283209827247806913347232912459304674731482763483144349<61>
7×10112-979 = (7)11067<112> = 32 × 53299 × 807523 × 675862510579<12> × 35981702803341791610931<23> × 825655712721853772498454567068753905951078314887794219338477108431<66>
7×10113-979 = (7)11167<113> = 19 × 42662833 × 95951603857671343675033658722616669739057583247272592143460497606007278140520280297888054084302541546221<104>
7×10114-979 = (7)11267<114> = 127 × 929 × 16493 × 1492951 × 1664864603527<13> × 160809596680292384735949856295559179520262456241441122664905309215492258708800599826909<87>
7×10115-979 = (7)11367<115> = 3 × 31 × 593 × 4093 × 1246517 × 44651147 × 619077925587720266476839293873105578529286564535548545002538155177570463057145385646660795369<93>
7×10116-979 = (7)11467<116> = 1437691 × 12644958663299<14> × 22918113907124071<17> × 2538504943080238628311112164505393999<37> × 73538653821699408609820406324824375881494047<44> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P37 x P44 / January 6, 2015 2015 年 1 月 6 日)
7×10117-979 = (7)11567<117> = 13 × 74453 × 73800319 × 301636943 × 486913391 × 35438455262355671<17> × 2091995302690633945689708677386094210824478744775472763115259832188319<70>
7×10118-979 = (7)11667<118> = 3 × 17 × 47 × 2131 × 1522663883933161755216423504857721960400167379915058412758200561936931131413441245827928148449635597166914175681<112>
7×10119-979 = (7)11767<119> = 59 × 18059 × 4889732563139<13> × 14928793620174149712910594425322567869137979674076123582029513116695528509042652216932279896648269413<101>
7×10120-979 = (7)11867<120> = 2700431 × 1956564051377884253<19> × 10420694477033591443414937<26> × 78136354783215867042929535704737<32> × 180791732325263390341118581829361684901<39> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=1989259567 for P32 / January 3, 2015 2015 年 1 月 3 日)
7×10121-979 = (7)11967<121> = 36 × 29 × 367900183424520021653553652986035560180586432892378684914515764522859740682927854774030451623753738128649438426648587<117>
7×10122-979 = (7)12067<122> = 557 × 601 × 5689 × 33353347 × 1734205952741558321<19> × 436440141849894282767<21> × 775314595078844072653<21> × 2086638362016261430989845644096562264587933067<46>
7×10123-979 = (7)12167<123> = 13 × 29024509 × 32854188596272024251291787<26> × 62741738858905087178888939648020364418417849719626080626461701537520025590798269265148573<89>
7×10124-979 = (7)12267<124> = 3 × 2702251812956961484381<22> × 959419318422300037481251969167846660960792356601501760923715270309252972687821889387271398378029976369<102>
7×10125-979 = (7)12367<125> = 139 × 559552358113509192645883293365307753796962430055955235811350919264588329336530775379696243005595523581135091926458832933653<123>
7×10126-979 = (7)12467<126> = 23 × 33816425120772946859903381642512077294685990338164251207729468599033816425120772946859903381642512077294685990338164251207729<125>
7×10127-979 = (7)12567<127> = 3 × 3547517 × 27049796183768887499<20> × 71411379318572184491<20> × 378336613228771962911081760117434026762356698445644445771534738455602241019446713<81>
7×10128-979 = (7)12667<128> = 1487 × 191033 × 3898920229<10> × 975836472910578908089004123570761<33> × 71963913042829111044902405959838329929530646187338260441994736302133526516533<77> (KTakahashi / Msieve 1.51 snfs for P33 x P77 / January 8, 2015 2015 年 1 月 8 日)
7×10129-979 = (7)12767<129> = 13 × 198937 × 15685993 × 30637879277<11> × 52790308865977189063861305870165769<35> × 11854184801483479569781794341444643683973725678565625699034113565122423<71> (KTakahashi / GMP-ECM 6.4.4 B1=1000000, sigma=3652730458 for P35 x P71 / January 8, 2015 2015 年 1 月 8 日)
7×10130-979 = (7)12867<130> = 32 × 31 × 443 × 202058579 × 229579133229499179855349032412198788407<39> × 1356556525308321253686060577023074382374079200195507923244940346258991668397687<79> (KTakahashi / Msieve 1.51 snfs for P39 x P79 / January 8, 2015 2015 年 1 月 8 日)
7×10131-979 = (7)12967<131> = 19 × 71 × 1321 × 1434338873927<13> × 1848481025663<13> × 16461674018651116218917716196874825880524159244812248649749575870815859927543337497079638247341388123<101>
7×10132-979 = (7)13067<132> = 474460512812978663046586331<27> × 1639288743264415241644714094036862910989159537269049753717170279716113900220001669152580492816638395289957<106>
7×10133-979 = (7)13167<133> = 3 × 1094709969841<13> × 12981276667130735344538275693<29> × 11087036044016870838897594651598707541254919129<47> × 16455168622656721915801485208502800553822456857<47> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P47(1108...) x P47(1645...) / January 6, 2015 2015 年 1 月 6 日)
7×10134-979 = (7)13267<134> = 17 × 672 × 1019194341433016363893147665244162564409442398775801996747314058912344918661011594063629758727579544478369056095000560556887788159<130>
7×10135-979 = (7)13367<135> = 13 × 1291 × 5172853790608743323462997623<28> × 40197096254125487411951626999<29> × 72492124063926439906371144819641<32> × 3074469760533551761068399403268501009988257<43> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=760409848 for P32 / January 3, 2015 2015 年 1 月 3 日)
7×10136-979 = (7)13467<136> = 3 × 545843339623<12> × 22939005541139<14> × 207057837586936617416779887545996520994458737330386217872357203802703183651036627120006562172262086721277526537<111>
7×10137-979 = (7)13567<137> = 4093 × 7903331 × 83023740891037<14> × 12214950097245757<17> × 2661128113829836725694259<25> × 12326548145645084005968046237991<32> × 72277373185343908123269787053599360236469<41> (Makoto Kamada / Msieve v. 1.53 (SVN 975M) for P32 x P41 / January 6, 2015 2015 年 1 月 6 日)
7×10138-979 = (7)13667<138> = 2053 × 111479993 × 1134787097<10> × 21351425367115013951346437902957366568143<41> × 140258240553306368332338846699746872305980583918911519092048651520308556793413<78> (KTakahashi / Msieve 1.51 snfs for P41 x P78 / January 8, 2015 2015 年 1 月 8 日)
7×10139-979 = (7)13767<139> = 32 × 467 × 887 × 1664999113<10> × 91903344859<11> × 771865052561<12> × 4556858495921207281305070170150868737729847<43> × 3876325834276437014685425227498120599065201193880795126423<58> (KTakahashi / Msieve 1.51 snfs for P43 x P58 / January 8, 2015 2015 年 1 月 8 日)
7×10140-979 = (7)13867<140> = 1907 × 84143 × 118440843349<12> × 51212934464786559561959<23> × 98686544256388830427609384768572338287860402443<47> × 809744024135279650447469876785388063858662081099459<51> (KTakahashi / Msieve 1.51 gnfs for P47 x P51 / January 8, 2015 2015 年 1 月 8 日)
7×10141-979 = (7)13967<141> = 13 × 824141753 × 8520662562721<13> × 33560966888984656301851452964573406102295937<44> × 253864766635510123375451824225493392682988064920672343079348969579276809339<75> (Jo Yeong Uk / GMP-ECM 6.4.4 B1=3000000, sigma=4729537695 for P44 x P75 / January 13, 2015 2015 年 1 月 13 日)
7×10142-979 = (7)14067<142> = 3 × 37159 × 62043337686411652486920579249671<32> × 1124540509581566757601799923934819107017306708910289301851184950678777341359881405535644905183662874191101<106> (KTakahashi / GMP-ECM 6.4.4 B1=8000000, x0=2270268000 for P32 x P106 / January 8, 2015 2015 年 1 月 8 日)
7×10143-979 = (7)14167<143> = 491 × 5081 × 3975653764050061419433433<25> × 100588125316223108583443659988378312658239173<45> × 77959594999429572703148994771524825174462158329328781864064739082753<68> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P45 x P68 / January 17, 2015 2015 年 1 月 17 日)
7×10144-979 = (7)14267<144> = 22349 × 600449 × 7402420707891042426672960415944698604006239776714599343577<58> × 7829743683339646229041831294835340827470706866617175428649936601797473235771<76> (Cyp / yafu v1.34.3 for P58 x P76 / January 16, 2015 2015 年 1 月 16 日)
7×10145-979 = (7)14367<145> = 3 × 31 × 4099729 × 29894437 × 682381200007343811072359935824626875719523766355893599785285787168127720868530310794731070551879909952307283680534081369327424103<129>
7×10146-979 = (7)14467<146> = 157 × 3041 × 145526687 × 1124409719<10> × 13632767480639731<17> × 1450816589995427049793351<25> × 50335650345083371843121653574800173166267677055194301249782301757017966194272246687<83>
7×10147-979 = (7)14567<147> = 133 × 743891 × 988784207 × 146151929046070373196862575636635167104449<42> × 3293139257000747885595537447016770142996173521407991795854203986765291836261305418352647<88> (Serge Batalov / GMP-ECM B1=3000000, sigma=3542152609 for P42 x P88 / January 8, 2015 2015 年 1 月 8 日)
7×10148-979 = (7)14667<148> = 33 × 23 × 843229 × 20515649578102999731160103116839153221<38> × 32632436616998335942424482078481473733<38> × 22186235605743758104852354931254012624526614699214407726483272791<65> (KTakahashi / GMP-ECM 6.4.4 B1=1000000, sigma=492926430 for P38(2051...), Msieve 1.51 gnfs for P38(3263...) x P65 / January 8, 2015 2015 年 1 月 8 日)
7×10149-979 = (7)14767<149> = 19 × 29 × 2332717402674467205810505613195421341363<40> × 60512041136181461607197899374855358367946774679983455650288842223245527891276201028362998239568071810416059<107> (Cyp / yafu v1.34.3 for P40 x P107 / January 13, 2015 2015 年 1 月 13 日)
7×10150-979 = (7)14867<150> = 17 × 10461424467240949455569296448502392150504443969544521<53> × 4373365609071251205990492589895233351289414537439972550742117566037937429587464078552337898093631<97> (Cyp / yafu v1.34.3 for P53 x P97 / January 12, 2015 2015 年 1 月 12 日)
7×10151-979 = (7)14967<151> = 3 × 118787 × 20243659 × 12449770782017<14> × 86599421924270527013560691080199121022452284553684578337951535278063513575624774215553122848348013305259805632644492949650349<125>
7×10152-979 = (7)15067<152> = 5897 × 6048256189<10> × 28711950913688033<17> × 32498947482111191<17> × 2337018903980947724753183301957490215788157552926176176481875756466121969071518317932393063736518491508733<106>
7×10153-979 = (7)15167<153> = 13 × 2840549 × 162390563 × 738736107998111<15> × 6324324975612107<16> × 3629164898851357372633544105687<31> × 7649603034103659322511365517740827980394721785164895628059237695413767176143<76> (Cyp / yafu v1.34.3 for P31 x P76 / January 9, 2015 2015 年 1 月 9 日)
7×10154-979 = (7)15267<154> = 3 × 10426349008001348030359819943147759<35> × 44842719327851825494597076364763934720463403768935569111<56> × 5545108861420058243999515662894591031973091325484783873505364661<64> (Serge Batalov / GMP-ECM B1=3000000, sigma=2310284169 for P35 / January 9, 2015 2015 年 1 月 9 日) (Cyp / yafu v1.34.3 for P56 x P64 / January 17, 2015 2015 年 1 月 17 日)
7×10155-979 = (7)15367<155> = 61 × 132591476117513538188972757837594035532408165877<48> × 9616346198684510017634371964196355170710830704635189413030640644091096449548931011999672474281905163891911<106> (Cyp / yafu v1.34.3 for P48 x P106 / January 12, 2015 2015 年 1 月 12 日)
7×10156-979 = (7)15467<156> = 127 × 1999 × 1096057 × 268821197989937<15> × 74784515865621804270656237<26> × 139037092312205407076880698938645219045707939886753189317336638903777317608383377162588753379066957990363<105>
7×10157-979 = (7)15567<157> = 32 × 70901 × 1933535599<10> × 79752702625878333604750234799<29> × 79042938816351115216935577784562749255907597970356048803570581741490357908465066506181231251659348681302390189363<113> (Serge Batalov / GMP-ECM B1=3000000, sigma=3644741740 for P29 x P113 / January 9, 2015 2015 年 1 月 9 日)
7×10158-979 = (7)15667<158> = 107 × 35521 × 546168229834414564362624550536837731<36> × 37467967531902482222061948308559559904858749667332161087951345571113929048638015091540497916465891668535886217713031<116> (Serge Batalov / GMP-ECM B1=3000000, sigma=1755635998 for P36 x P116 / January 9, 2015 2015 年 1 月 9 日)
7×10159-979 = (7)15767<159> = 13 × 409 × 479 × 3019 × 4093 × 8287 × 31957 × 60609590356429<14> × 10272416443597848533425036993<29> × 149889493327386141434084437193050082894725537466716908664543705955740331354803451627267061071509<96>
7×10160-979 = (7)15867<160> = 3 × 31 × 19618644491<11> × 32841515183<11> × 129801705553445743882778022424116036918817452492913847492143249703858147242548789671498543868202214931610643935515594562301886283772064823<138>
7×10161-979 = (7)15967<161> = 1889 × 3500537 × 4528608439<10> × 2597312039893612012824806095970486734459331933741814646109159242779181099624493318518526949908841993372125150355324834493556079203153188056121<142>
7×10162-979 = (7)16067<162> = 11268169495147508737069624427<29> × 23411533098114089661367641020730489915712278982132505081<56> × 2948304296236338556766175846576831214827350088253428390390584019368488594226141<79> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P56 x P79 / February 1, 2015 2015 年 2 月 1 日)
7×10163-979 = (7)16167<163> = 3 × 307 × 380879 × 518734388960541214443568058293<30> × 1004353420240547129376733278908915655461<40> × 42557613810486030193336207942636284198894528042205699711877619825657429638059572786281<86> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=2137076769 for P30 / January 3, 2015 2015 年 1 月 3 日) (Pierre Jammes / GMP-ECM 6.4.4 B1=11000000, sigma=2266381394 for P40 x P86 / January 23, 2015 2015 年 1 月 23 日)
7×10164-979 = (7)16267<164> = 47 × 1453 × 78489132747544119289811874931<29> × 988005515659876695228349282205958189841<39> × 14686663985102386965746583729911128057563912989992914350935579900174028001573911284300562447<92> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=3262771211 for P39 / January 3, 2015 2015 年 1 月 3 日)
7×10165-979 = (7)16367<165> = 13 × 44192017 × 856266311 × 2717526670467501161015494672282728803<37> × 581816028920439261735203219910054102871585069006842355083316617336242078030819280897944069278899271279544905319<111> (Serge Batalov / GMP-ECM B1=3000000, sigma=3475455985 for P37 x P111 / January 9, 2015 2015 年 1 月 9 日)
7×10166-979 = (7)16467<166> = 32 × 17 × 71 × 3092268827603<13> × 162890171449247949053707031419568891018518115018122561<54> × 1421456678064125857318399658464794087554064902411318008411115523441409829072915158053973821633523<97> (Cyp / yafu v1.34.3 for P54 x P97 / February 28, 2015 2015 年 2 月 28 日)
7×10167-979 = (7)16567<167> = 192 × 67 × 139891 × 193003 × 310600665223<12> × 31645344800185073<17> × 168707393231456701<18> × 182935628375804590661908984216426332951919<42> × 392622393759194446670785044153462114442547569557268074904124667617<66> (Cyp / yafu v1.34.3 for P42 x P66 / January 9, 2015 2015 年 1 月 9 日)
7×10168-979 = (7)16667<168> = 2081 × 17684557091934219599384966999146573<35> × 21134367887084926176789529058571543274865451384966368137338014673421776078378404292088032818937149795151169387609279611916172397859<131> (Ignacio Santos / GMP-ECM 7.0 B1=3000000, sigma=1:3770606793 for P35 x P131 / February 8, 2015 2015 年 2 月 8 日)
7×10169-979 = (7)16767<169> = 3 × 131 × 13721 × 6788989 × 8286816708349088864253059<25> × 10171652732791950401839463<26> × 5310016812663834389591133006671209403<37> × 474675653576561466872679542373676016971876419544107397592657254365701<69> (Cyp / yafu v1.34.3 for P37 x P69 / January 9, 2015 2015 年 1 月 9 日)
7×10170-979 = (7)16867<170> = 23 × 45895685497<11> × 969756576382720927984832906520751357<36> × 180247680626967711113421424711599189287020469243<48> × 421525075844865866487432343377678726290638674429189576795932731554364566007<75> (Ignacio Santos / GMP-ECM 7.0 B1=3000000, sigma=1:1687305229 for P36 / February 11, 2015 2015 年 2 月 11 日) (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P48 x P75 / April 9, 2015 2015 年 4 月 9 日)
7×10171-979 = (7)16967<171> = 13 × 139 × 283 × 120079 × 48993991 × 1877075948671271<16> × 1640949243754314161<19> × 83931322976208097908212482148819562434002260502696175491180114171380588631871547772313789030274873555624087529256559173<119>
7×10172-979 = (7)17067<172> = 3 × 395741 × 7781250417485321402686469977183159090430768801812703984318360958732134691271<76> × 841925836181846393993221654138059024783865308347150375606003711148367568518302663142195399<90> (Cyp / yafu v1.34.3 for P76 x P90 / April 13, 2015 2015 年 4 月 13 日)
7×10173-979 = (7)17167<173> = 170237216213<12> × 9249502392841<13> × 1120740219700747<16> × 3592344710225147527291<22> × 12268732328937441296522373065564265612033135219014387738561923300287491567866862318384163780063825381847415970587<113>
7×10174-979 = (7)17267<174> = 342407291 × 197875173133457<15> × 978046817974260998057370300065498118000417833033770120457<57> × 11737120803756441612357543948137257943198757481030114323427822290948888910473985764641940600013<95> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs for P57 x P95 / May 10, 2015 2015 年 5 月 10 日)
7×10175-979 = (7)17367<175> = 33 × 31 × 583866161 × 28759381153<11> × 553397547685892886125049608325704726837115289898407397720402543420647303300477316041955574842325698080424051793052231296126135413528979503309146814983627<153>
7×10176-979 = (7)17467<176> = 7420661933<10> × 26470469033<11> × 395959937690914120279851732595303733694617521958184159864135146891876496543579440949020797837403268380610540249018423623755303132381984289056163821346578603<156>
7×10177-979 = (7)17567<177> = 13 × 29 × 59 × 359 × 12277 × 54838129272019093274423282131031771374595597<44> × 4359799841705117041635517621015742456951713407206557<52> × 33183812593175639753189918417896242055906057450903449853581775618987127<71> (Jo Yeong Uk / GMP-ECM v6.4.4 B1=11000000, sigma=3703713815 for P44, GGNFS/Msieve v1.39 gnfs for P52 x P71 / June 22, 2015 2015 年 6 月 22 日)
7×10178-979 = (7)17667<178> = 3 × 1061 × 2229389087582715071053716515731<31> × 4164445887074002303680578668341517246297<40> × 62978006002641494890663345783528035725189<41> × 4179139726896205999400938266066944150823437381990018468045345263<64> (Serge Batalov / GMP-ECM B1=3000000, sigma=1705322323 for P31 / January 9, 2015 2015 年 1 月 9 日) (KTakahashi / GMP-ECM 6.4.4 B1=11000000, sigma=3258897744 for P41 / April 30, 2015 2015 年 4 月 30 日) (KTakahashi / Msieve 1.51 gnfs for P40 x P64 / April 30, 2015 2015 年 4 月 30 日)
7×10179-979 = (7)17767<179> = 37201532081017<14> × 11337884202286102516281956772221<32> × 269779193522139665659285624162301<33> × 683524735524199707847979741563100959176725618936407345464248904823582962196660991157694650332275854631<102> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=3906790772 for P32 / January 3, 2015 2015 年 1 月 3 日) (Serge Batalov / GMP-ECM B1=3000000, sigma=3905599722 for P33 x P102 / January 8, 2015 2015 年 1 月 8 日)
7×10180-979 = (7)17867<180> = 109 × 75703 × 232571 × 341889087708511151555405846863843<33> × 1185427895179479509020384670780053963526504306150592027973194074259542565173606621157400138976309635277312067988594862847647476771633957<136> (Serge Batalov / GMP-ECM B1=3000000, sigma=1934145916 for P33 x P136 / January 9, 2015 2015 年 1 月 9 日)
7×10181-979 = (7)17967<181> = 3 × 223 × 541 × 3319 × 4093 × 41372827679<11> × 978755860500443<15> × 10188223510604315314647423336716543069<38> × 3834379612339456260952472898590817155508427909561816119527093736549221945706454835389758908590632687786733<106> (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=630210325 for P38 x P106 / January 25, 2015 2015 年 1 月 25 日)
7×10182-979 = (7)18067<182> = 17 × 647 × 75367 × 571279 × 34253987 × 316068642583121<15> × 22071834812803371053064857626183<32> × 7949221445871244901515489747114472133551098159044449<52> × 86460405424890411592082284554761655165440752262092286007197909<62> (Serge Batalov / GMP-ECM B1=3000000, sigma=4035103794 for P32 / January 9, 2015 2015 年 1 月 9 日) (Cyp / yafu v1.34.3 for P52 x P62 / January 11, 2015 2015 年 1 月 11 日)
7×10183-979 = (7)18167<183> = 13 × 1614882898093888637<19> × 2404802192397325755525347<25> × 513471654518543256973280844071062114813<39> × 30003734225754984605727101662379243083660006880981356206254413081358301766761576010684436520797931737<101> (Jo Yeong Uk / GMP-ECM 6.4.4 B1=11000000, sigma=555087280 for P39 x P101 / January 8, 2016 2016 年 1 月 8 日)
7×10184-979 = (7)18267<184> = 32 × 419 × 28573 × 14698414043<11> × 945171307857957337<18> × 3182216266525328816351333<25> × 28031260751327646146481421<26> × 26011678500028576803849123343<29> × 2239347283676710808726306746863850566260282481078265439253672773880461<70>
7×10185-979 = (7)18367<185> = 19 × 22079 × 101119 × 11193673 × 32627393222642891<17> × 1153807473174238937503<22> × 354766244655576513839504988357292748808003202984987<51> × 12264762221688605297888022432610045845798307387640497005781000449220276065499891<80> (Maksym Voznyy / Msieve 1.51 gnfs for P51 x P80 / February 10, 2015 2015 年 2 月 10 日)
7×10186-979 = (7)18467<186> = 1321 × 1361038034601132499330309<25> × 380851691919795811040980932066543760356861799<45> × 1135864592577786930837823684380316826521259024685665772014969596097055561488412732835047275460494963493916708545797<115> (Erik Branger / Msieve 1.51 snfs for P45 x P115 / January 22, 2017 2017 年 1 月 22 日)
7×10187-979 = (7)18567<187> = 3 × 367 × 823 × 10554767881577<14> × 768693401282041<15> × 1467985864627591<16> × 720683639120576409235416444501157488308910747966749398935078545214456338679507735759821166381659217570706939589355445066645745055314053667<138>
7×10188-979 = (7)18667<188> = 182564138838450628619<21> × 75447566490142891084820237<26> × 4277927423108959307603094099806514269<37> × 1319961940110256566924806750258801597853597279308959195632013623075663977257025478219723047181711968744381<106> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=4223988407 for P37 x P106 / September 3, 2016 2016 年 9 月 3 日)
7×10189-979 = (7)18767<189> = 13 × 59829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059<188>
7×10190-979 = (7)18867<190> = 3 × 31 × 1811 × 4392181 × [10514143565362132496970773795733515122427856171180899607341254672519479227010347998586743898632866739017081718252051107932664035412895950452497380071765004201281551493477224882909<179>] Free to factor
7×10191-979 = (7)18967<191> = 227 × 52970429 × 10792544833111<14> × [599338700292310873481653730534126676890807594792127006197816289237764188280496988761141736463542696829919543520249640360570934940828522714338728455759539614793869973559<168>] Free to factor
7×10192-979 = (7)19067<192> = 23 × 113 × 55931 × 15128897983207969<17> × [353662793083283499957668608888302166696221115109519931037210903044161547995789888620736233419710363308852685034701748778458347986834400122232644328661028976257412166547<168>] Free to factor
7×10193-979 = (7)19167<193> = 32 × 347 × 66457 × 121244317559<12> × 309087484806116761254166185445456176891005205190884605725120696556386473910163711507331711290392356386474649086967367734014568471377813733215077982312961796683217941541098083<174>
7×10194-979 = (7)19267<194> = 3700166069<10> × 2222972257565729<16> × 496140336353267059<18> × [19058807991101352782131937520927264601345326840496236933565555187312397400663795997777891604574944487883265075247133326139423082016083655090435746263113<152>] Free to factor
7×10195-979 = (7)19367<195> = 13 × 4073 × 4998997 × 81546956902428088821112772639<29> × 70451597721406624498489725052267<32> × 190930864546723402126623526439357709115783657<45> × 2678799118260606052865836699263372913891602547035764151558208762171783591887179<79> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=2409046547 for P32 / January 3, 2015 2015 年 1 月 3 日) (Erik Branger / GGNFS, Msieve gnfs for P45 x P79 / January 30, 2015 2015 年 1 月 30 日)
7×10196-979 = (7)19467<196> = 3 × 2237 × 200293459800250262657<21> × 9504911665930568193458860541<28> × 1247147559823312367716804242211<31> × 488130109119656922406429401293472509475084100175808549357664450252485613388177535791936822273205652395174810771671<114> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=189802212 for P31 / January 3, 2015 2015 年 1 月 3 日)
7×10197-979 = (7)19567<197> = 182304266857<12> × 638073016723<12> × 188104886974902227252474235304051<33> × [3554579559191613379352484048627871042938676308596965817974626944782738561204665257134689364609593827832560672175047236348379310981288952260247<142>] (Serge Batalov / GMP-ECM B1=3000000, sigma=3647254409 for P33 / January 9, 2015 2015 年 1 月 9 日) Free to factor
7×10198-979 = (7)19667<198> = 17 × 127 × 3889 × 17239 × 22709 × 62969 × 48421936126579<14> × 58968695358941494369<20> × 2669256343928918256088453<25> × 771517354598456634064803862510037158190555794031729842253<57> × 639040548060204044575464456183494024970709982333638512211014377<63> (Erik Branger / GGNFS, Msieve gnfs for P57 x P63 / January 30, 2015 2015 年 1 月 30 日)
7×10199-979 = (7)19767<199> = 3 × 14143 × 70285087 × [2608131880307255264853921658844231957709800657205208996041646495784809821640975719198543007643721533775770443134228205834181092280240789725804593981523593942302837102033513635337860582829<187>] Free to factor
7×10200-979 = (7)19867<200> = 67 × 691 × 1663 × 42391 × 460951 × 13839992059<11> × 1688120590945049034545589187<28> × 2212802737129251590426314825534240825090631785450793726857492375392746602169462583483125752848802942912638058758411535899181434945482460793141249<145>
7×10201-979 = (7)19967<201> = 13 × 71 × 883 × 12633456704942628845211732886793<32> × 75538947534123895459514937127967425978276231028335765953392362618300023217032856489437797514656528393840640180942062542155250929485395580218852083621423398641198991<164> (Serge Batalov / GMP-ECM B1=3000000, sigma=3457799091 for P32 x P164 / January 9, 2015 2015 年 1 月 9 日)
7×10202-979 = (7)20067<202> = 34 × 263 × 341888497701973<15> × [1067899229873304623673029841870118085520754451291480081299093603561689675024914564461538780690351547521457371913483486928636341322018485431013764600482264423115445355156514740745236493<184>] Free to factor
7×10203-979 = (7)20167<203> = 19 × 4093 × 982187 × 6800441 × 382503507251<12> × 765196158020516229493<21> × 511588441618800815718549354682110663274553389139812372369305415905064892199424773396866528578371002495148005848295888113701049416632376603617693538478421<153>
7×10204-979 = (7)20267<204> = 197 × 349 × 36451 × 49547 × 4482703203538097<16> × 45893639859537217499<20> × 44631362833199892000683<23> × 146848881510621861099291441795553935320445082688850193798653199<63> × 4645514139559406690919181762219923591022873934521451884209191186010337<70> (Erik Branger / GGNFS, msieve gnfs for P63 x P70 / March 9, 2015 2015 年 3 月 9 日)
7×10205-979 = (7)20367<205> = 3 × 29 × 31 × 168802873 × 7821511251421585930997<22> × 2022664292683224481038219540763627<34> × 1079891861311285003824764682582260802318688968204921589238535141950301311278643078404366995177973955384385927682147263880505914937029085953<139> (Serge Batalov / GMP-ECM B1=3000000, sigma=2007649080 for P34 x P139 / January 9, 2015 2015 年 1 月 9 日)
7×10206-979 = (7)20467<206> = 217012246229731<15> × [358402712883961231129014167197173859642021445316761290621879881017971173993739698933957685512276319776705258186929700313945558606654624704968972993720136157465773513016441306538054539030410157<192>] Free to factor
7×10207-979 = (7)20567<207> = 13 × 857 × 291192741699049<15> × 702406424516150105983586168034341<33> × 1288629714876757264513612355254637<34> × 264870867558793599492948325331990639097590303904532970033275207028421198296977552846664655613739874413451997354704277006339<123> (Serge Batalov / GMP-ECM B1=3000000, sigma=4274648428 for P34 / January 9, 2015 2015 年 1 月 9 日) (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=1238980518 for P33 x P123 / May 28, 2015 2015 年 5 月 28 日)
7×10208-979 = (7)20667<208> = 3 × 22401854047939000137619310303506940415680394037889<50> × [115731161672804242775316156785582787325181790398230549053445902419632121875020511590331520440006550741376520869170284484942456379554779855980843513085912692301<159>] (Serge Batalov / GMP-ECM B1=43000000, sigma=3831752208 for P50 / February 5, 2015 2015 年 2 月 5 日) Free to factor
7×10209-979 = (7)20767<209> = 474546811818773333<18> × [163899062938980735748009789379003021919587767082486713281532189278672235804556793141148883771147640824090617827690419196538386515594688061157487278633411953844105354585972497874976217354346699<192>] Free to factor
7×10210-979 = (7)20867<210> = 47 × 193 × 3943 × 377477 × 1805641391<10> × 40068237917767<14> × 3844922302738331<16> × 4423949064003534064243<22> × 46811618840770835300262293844277907158161892887852641606339750919119197978766000890297281879819751402476856605034076468121953741692504907<137>
7×10211-979 = (7)20967<211> = 32 × 107 × 112368191281618393151741447155627606226076133415628665851<57> × 2619363038900586011881245673060704168862430934739214616528805315876873<70> × 27440382325161818632462796384047941389280079217008846080775953451758653520668618783<83> (Bob Backstrom / GGNFS-0.77.1-20060513-nocona, Msieve 1.44 snfs for P57 x P70 x P83 / September 2, 2017 2017 年 9 月 2 日)
7×10212-979 = (7)21067<212> = 25106537 × 7898099753<10> × 137562298372956012283913<24> × [2851324718209623641379563590585137556640856308191607657569588649734686311882966361537107481259971782414352369588079454558758364604908186458583930165073464891392586750339519<172>] Free to factor
7×10213-979 = (7)21167<213> = 13 × 706283 × 395605130289812699786912986086730018859<39> × 214127038369595409218871357684862364257633003656012819824448474302710654222075503439313539789138608198762528260390427364640371775448840707663057125373817864370459867547<168> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=3:3365939323 for P39 x P168 / September 2, 2018 2018 年 9 月 2 日)
7×10214-979 = (7)21267<214> = 3 × 17 × 23 × 7699 × 133919 × 6431036894795133501813085697599671447697895328579611740334173251895402269260483435321255661921198128140498565212288415022843297898064301805391533067874110526803123983375598569825398266135629274579634359<202>
7×10215-979 = (7)21367<215> = 61 × 7658712317<10> × 5480123804973574000193393912004423174358027<43> × [30379426361268948003093619752292799936418921081056137961126558854937482589114695134291882645192125755371556881309142253839617521405550175308293509907134935831533<161>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=1415893402 for P43 / January 4, 2015 2015 年 1 月 4 日) Free to factor
7×10216-979 = (7)21467<216> = 12743 × 10439062681506510656593086105240844178957<41> × [5846855249475360129954773544763703248224580489569077843253768665884186917137091779189345026145955253607885828185077272316727210540779421067242250848942855438475412985098917<172>] (Serge Batalov / GMP-ECM B1=3000000, sigma=1796731965 for P41 / January 10, 2015 2015 年 1 月 10 日) Free to factor
7×10217-979 = (7)21567<217> = 3 × 139 × 909254284481<12> × 103619672089963<15> × [197966591579668864634136392784493876736357706494727506540730422259211344136876284302429247649173772664374087778977345474891726056361998003048301731077622665352883619226696709731519977437717<189>] Free to factor
7×10218-979 = (7)21667<218> = 2297 × 11530703728144307383<20> × 4291645636059365563873449292273<31> × [684250096190483936191810059976310132140154356999742633310150719899308126072652740481215523872302973534088930316709932689421794325941964225964355177169926189110194729<165>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=976432098 for P31 / January 4, 2015 2015 年 1 月 4 日) Free to factor
7×10219-979 = (7)21767<219> = 13 × 130998596587<12> × 143384813939<12> × [3185241593258180067467070748024125346533936279588076776580722560378769784674991641854190691108458643056406904447618925133206062003639766666279186933721521641206988035918553581413610572050305897363<196>] Free to factor
7×10220-979 = (7)21867<220> = 32 × 31 × 5507 × 4122779 × 1123326350046686537108381<25> × 3830316759355341785938559<25> × 16631616826697386767385308097111444900589872999871856738976338515179057<71> × 17158174793626634826195809559373289806468937537288137884108905852969740056663559893619547<89> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P71 x P89 / March 9, 2018 2018 年 3 月 9 日)
7×10221-979 = (7)21967<221> = 19 × 24130250137123846739<20> × [169644625654506880606290369581088313064503922586003087508258693274985458115438145497329877273684368229074039315381226489406140326038588836367023031080873003569023977697943765038460406377587478677110287<201>] Free to factor
7×10222-979 = (7)22067<222> = 257 × 6890837 × 812383292361763809758891923404573969231557883109<48> × 540616687583561931518125075521521767033045344075640958956367104252375085860620129666719928892900720959251879072147950956419312689393832987070413600120858712907642607<165> (Bob Backstrom / Msieve 1.53 snfs for P48 x P165 / July 6, 2018 2018 年 7 月 6 日)
7×10223-979 = (7)22167<223> = 3 × 487 × 23620029972673<14> × 17146507128138800569<20> × 6493827911297668694197<22> × 3699463097054118491798957<25> × 14512452528422189874832569911057<32> × 37702393235213466552658148981924017823932886506849589771063137696101357036077346175870787160985066116019371427<110> (Serge Batalov / GMP-ECM B1=3000000, sigma=179877996 for P32 x P110 / January 9, 2015 2015 年 1 月 9 日)
7×10224-979 = (7)22267<224> = 157 × 1471824474611618100315188981<28> × 14569262240084500845174689206909229<35> × 52598063712247292767777468846727612713<38> × 439230551301514321299494670052224703005741458157214148242632947026825376015469228492027401045491776912137879080656141865963<123> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=1094122001 for P35 / January 4, 2015 2015 年 1 月 4 日) (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=812330309 for P38 x P123 / July 7, 2015 2015 年 7 月 7 日)
7×10225-979 = (7)22367<225> = 132 × 379 × 1187 × 4093 × 189801967 × [13168504106034765415255266195804661266103598823927964964344486349746640915384787918480057352175545644318589519797413903493459319556663682101539550049763688966795567300420761873220297514081209733435976689061<206>] Free to factor
7×10226-979 = (7)22467<226> = 3 × [2592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592589<226>] Free to factor
7×10227-979 = (7)22567<227> = 8927504125497478756445535817078369<34> × [8712152543916485388828245795572354706869414775383193881098325112475632616604732324978901993603262082250522188865254498316279665691601149039174960165325660292818889358751846601186794931102259143<193>] (Serge Batalov / GMP-ECM B1=3000000, sigma=1670263266 for P34 / January 10, 2015 2015 年 1 月 10 日) Free to factor
7×10228-979 = (7)22667<228> = 941 × 1229 × 340544819 × 1367449866318651179<19> × 1444203302481771202750240169141026728259597468203361043686527242807615923658435605329920147391584333094547376387249444404572069719669153633863088434032880416103368770109210021085150187351644379903<196>
7×10229-979 = (7)22767<229> = 33 × 9601 × 16217 × 6541054969979<13> × 276456807405519648181624757347<30> × [1023127346414720827981875102958931773422212532351515584944315796506832701731364214491272237206109288988381278051877249645192952287185896497614518223266625441061271096188232158301<178>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=1099427620 for P30 / January 4, 2015 2015 年 1 月 4 日) Free to factor
7×10230-979 = (7)22867<230> = 17 × 612947 × 306695999 × 803698021988758509664786079<27> × 38300131988534914808743250981<29> × 790646594906836478603845027487757799867159957934146910425085188265043702469079374105479391120331779631247637020018235526776065600038932244983416358811140589033<159>
7×10231-979 = (7)22967<231> = 13 × 2029 × 29813534213<11> × 162594091967562407852674208206843477<36> × [6082917245722634085985704486314145831635524926635879548269169377019282160276034177212935827289203268392438202896089465576926790341812068895920971857672868710107819391993768756544471<181>] (Serge Batalov / GMP-ECM B1=3000000, sigma=1820567012 for P36 / January 9, 2015 2015 年 1 月 9 日) Free to factor
7×10232-979 = (7)23067<232> = 3 × 7187 × 641441 × 1887727 × 1045117234208678699<19> × 26006556972490725876841489990170967<35> × 5396922386835132934744260839151133254509<40> × 51198295457762424600817268773258970351388333901939499<53> × 39668080314020117010279287567930257576558566812010200456070607594783307<71> (Serge Batalov / GMP-ECM B1=3000000, sigma=3067026704 for P35 / January 9, 2015 2015 年 1 月 9 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=3:3161186615 for P40, Msieve 1.52 gnfs for P53 x P71 / September 1, 2018 2018 年 9 月 1 日)
7×10233-979 = (7)23167<233> = 29 × 67 × 17003939 × 22982959 × 102430018076102035071354618524837666083616673435590995065753235206852708792267551723886838756612668644429817683833605547299472898536885091790058931936717022726686702639257223407344920578105813729177388603816680656469<216>
7×10234-979 = (7)23267<234> = 6626053827188472048907<22> × [117381747577471739622130811177351633946213093202801526572659944555587920161098489505077304882107324563275313735761058801804033492711628881476269605797838410206130969025483700440871699495621146780751447971805400981<213>] Free to factor
7×10235-979 = (7)23367<235> = 3 × 31 × 59 × 4885501 × 283271237 × 1024257104035208777634213007937388854495971472174204075317398173225978335450405155798742330873877336346137421113190966893268783778169255231460373052954540071232174811671367041866489032457394740910177238661014515224793<217>
7×10236-979 = (7)23467<236> = 23 × 71 × [47628767775736544873103354426073348302374634279104579165816152956385656936789821051915356875552833911682656324419949649588351364223991290739606722460366061100904946587738994352588963734095393617745118051302987004150506906171327481799<233>] Free to factor
7×10237-979 = (7)23567<237> = 13 × 463 × 1117 × 1723 × 90997 × 60689662670579207<17> × 26617721313345316480939448428278193<35> × 456751586716123917787639600384863094732221297491361919843985172663493422744873471236363564006919644193963573798803009891518953943458994670091365829327824849331735784732609<171> (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=3254124429 for P35 x P171 / June 16, 2015 2015 年 6 月 16 日)
7×10238-979 = (7)23667<238> = 32 × 5791 × 29034204148644119461<20> × 77587512031787142215142707<26> × 112722965543263935439162943427214457<36> × 587685937146633335825399854163649208955690038725469848577886010560756281958917434431534314862419638625826582022893274474456518023367480112445795941845287<153> (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=1915215842 for P36 x P153 / February 10, 2015 2015 年 2 月 10 日)
7×10239-979 = (7)23767<239> = 19 × 269 × 25193054621282670398538390249328357<35> × [604044342901488885326732281844559892753539482612267810914815596951662539447969016841367547504901702427935650685421585886921214830797044779567700182205960317594936114646601264298068579039745873995333821<201>] (Serge Batalov / GMP-ECM B1=3000000, sigma=1079871315 for P35 / January 9, 2015 2015 年 1 月 9 日) Free to factor
7×10240-979 = (7)23867<240> = 127 × 179 × 599 × 46399 × 448853 × 636421 × 2150558324761727<16> × [2003842005643031482139236091167655954820605929420750640904898622264542523704002127826897630717811553124964277905090261337216206790506802076486186856459472949317303378831014142099488086565421139176119149<202>] Free to factor
7×10241-979 = (7)23967<241> = 3 × 457 × 1321 × 842617 × [5096652708515378056982472137025551792971001798817293461201660136242198767284591578217634367043903806917030874721482948395948863362089711208316969816017331718951773908183292737200211412553408842244879566706994137513453438922835461<229>] Free to factor
7×10242-979 = (7)24067<242> = 1240440450319492327<19> × 62701742560672745023844960702976012105668124451244474337421101211124908876466389300004345652410390418320241801249016261517477978023627161955057394995745762105733337817408819292386613957752413750103666337945010522864002030721<224>
7×10243-979 = (7)24167<243> = 13 × [59829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059<242>] Free to factor
7×10244-979 = (7)24267<244> = 3 × 181 × 4869177649289<13> × 104113793125193531<18> × [28254772313551936087637054537953389606640849263708319815153793399597223650516044873885572250102338309938067699469507344026866195575917908789265341097579260310732341305453606795161993277150219764656724053368914691<212>] Free to factor
7×10245-979 = (7)24367<245> = 79901 × 8557553 × 2354020689293007287641751777624806837<37> × [48321837747454904014133919691702002240669720907682328170565608524692225379491749014432259792831101569319264996870482944308093482602451497389644776202373857799468013151003014117687489769623967881047<197>] (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=985191282 for P37 / May 17, 2015 2015 年 5 月 17 日) Free to factor
7×10246-979 = (7)24467<246> = 17 × 2477 × 31211993 × 591778389735788454136888089794468024997230120181652304154212990377475640867698156404740267788691834928267043204334125956080352454613037799928294024211830899084347163801814136811360072218964948503870830085387738483312090286884253763691<234>
7×10247-979 = (7)24567<247> = 32 × 4093 × 19891 × 7576879345420595370947546218673<31> × 33362898393629840206451758348960678094921<41> × [41991415505199539880147918582619023151360000883842937720680830800409887124005025705343208649986461783615474949153144154033348724597070607569544981630211599280348434497<167>] (Serge Batalov / GMP-ECM B1=3000000, sigma=2478662664 for P31 / January 9, 2015 2015 年 1 月 9 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=2622263053 for P41 / August 31, 2018 2018 年 8 月 31 日) Free to factor
7×10248-979 = (7)24667<248> = 991 × 15093245678981<14> × 1351999055714681029344581<25> × 21838513454263196422015036603278587<35> × 176116389624234615745071482146854752401109283272150306289623341674397188785445504467632613232825269375235394546940527526299397922381368692648912065911787369219988941113366291<174> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=1755099977 for P35 / January 4, 2015 2015 年 1 月 4 日)
7×10249-979 = (7)24767<249> = 13 × 11028353794951<14> × 27407506259324684223833<23> × 11909193728505108213595779272419<32> × [16620711311814263166261085129514512286662022795299082275812113940048105882255533313549362730923043822525318724873108131490216217973527178347445183215211366749377636150059012203933167<182>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=1806465776 for P32 / January 4, 2015 2015 年 1 月 4 日) Free to factor
7×10250-979 = (7)24867<250> = 3 × 31 × 167 × 50239543 × 1498837180721856593<19> × 6650525650309651730152990333275390634329668399002718485657404018055134971645940162414609832160868202218918481058484616855300258852833274149993670061987141076943768610874548701149870161230196796460575574306830577917533443<220>
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