9w89w = { 8, 989, 99899, 9998999, 999989999, 99999899999, 9999998999999, 999999989999999, 99999999899999999, 9999999998999999999, … }
1013-106-1 = 9999998999999
<13> = 131 × 22091 × 3455519
1015-107-1 = 999999989999999
<15> = 173267 × 5771439397
<10>
1017-108-1 = 99999999899999999
<17> = 107 × 934579438317757
<15>
1019-109-1 = 9999999998999999999
<19> = 23 × 59 × 163 × 599 × 75475452511
<11>
1021-1010-1 = 999999999989999999999
<21> = 31394683 × 31852527384653
<14>
1023-1011-1 = 99999999999899999999999
<23> = 349 × 1567 × 220719539 × 828447127
1025-1012-1 = 9999999999998999999999999
<25> = 31 × 2957 × 2907601 × 37519079267797
<14>
1027-1013-1 = 999999999999989999999999999
<27> = 353 × 389 × 23087 × 315433772731765981
<18>
1029-1014-1 = 99999999999999899999999999999
<29> = 61 × 223 × 5717 × 13166701 × 97660768252549
<14>
1031-1015-1 = 9999999999999998999999999999999
<31> = 61 × 35345033599
<11> × 4638117708116885141
<19>
1033-1016-1 = 999999999999999989999999999999999
<33> = 127 × 183959 × 42803101495613131101234343
<26>
1035-1017-1 = 99999999999999999899999999999999999
<35> = 139 × 487727 × 705073 × 84437999 × 24776296201229
<14>
1037-1018-1 = 9999999999999999998999999999999999999
<37> = 157697971 × 1168460597
<10> × 54270000151843535377
<20>
1039-1019-1 = 999999999999999999989999999999999999999
<39> = 59 × 24563993 × 325018590983
<12> × 2122955154480399619
<19>
1041-1020-1 = 99999999999999999999899999999999999999999
<41> = 42902192475991
<14> × 2330883207331703966521684889
<28>
1043-1021-1 = 9999999999999999999998999999999999999999999
<43> = 631 × 4241 × 241327 × 15484473893986641360107966833447
<32>
1045-1022-1 = 999999999999999999999989999999999999999999999
<45> = 43 × 3527 × 82705169 × 5675131815569
<13> × 14048096376829785019
<20>
1047-1023-1 = 99999999999999999999999899999999999999999999999
<47> = 23 × 2794031 × 237252523 × 6558886326738351092137453084901
<31>
1049-1024-1 = 9999999999999999999999998999999999999999999999999
<49> = 367 × 6551 × 2957197 × 102780163 × 13684747144040102169978836977
<29>
1051-1025-1 = 999999999999999999999999989999999999999999999999999
<51> = 907 × 81053616549270254621
<20> × 13602549514176858412352500417
<29>
1053-1026-1 = 99999999999999999999999999899999999999999999999999999
<53> =
definitely prime number 素数
1055-1027-1 = 9999999999999999999999999998999999999999999999999999999
<55> = 31 × 10106851 × 11870776909
<11> × 16110162912853
<14> × 166895016016144064626427
<24>
1057-1028-1 = 999999999999999999999999999989999999999999999999999999999
<57> = 733 × 51933367 × 1457767381841
<13> × 1969632706761913
<16> × 9149051439944564773
<19>
1059-1029-1 = 99999999999999999999999999999899999999999999999999999999999
<59> = 34191344695471031
<17> × 2924716792821721097400097205789950134427129
<43>
1061-1030-1 = 9999999999999999999999999999998999999999999999999999999999999
<61> = 1392269 × 84525695164721
<14> × 13599425109257257
<17> × 6248381612447367512408243
<25>
1063-1031-1 = 999999999999999999999999999999989999999999999999999999999999999
<63> = 23 × 1366288931549436361
<19> × 31822156987145325308294176988056244464534033
<44>
1065-1032-1 = 99999999999999999999999999999999899999999999999999999999999999999
<65> = 83 × 289543 × 337859239 × 345154766951
<12> × 2311564232375456083
<19> × 15436654946555037233
<20>
1067-1033-1 = 9999999999999999999999999999999998999999999999999999999999999999999
<67> = 373 × 1117375391975261
<16> × 3409253042687528261598517
<25> × 7037733686918958126150499
<25>
1069-1034-1 = 999999999999999999999999999999999989999999999999999999999999999999999
<69> = 353 × 45008407 × 62940712160768091985879016331993893947041629777747298891769
<59>
1071-1035-1 = 99999999999999999999999999999999999899999999999999999999999999999999999
<71> = 7001 × 3963465146691984353452727
<25> × 3603834834478825495086710600284569969394337
<43>
1073-1036-1 = 9999999999999999999999999999999999998999999999999999999999999999999999999
<73> = 4952345079280229
<16> × 341653603917544643
<18> × 5910212486264108940083164612452458258417
<40>
1075-1037-1 = 999999999999999999999999999999999999989999999999999999999999999999999999999
<75> = 15567230256149571193
<20> × 64237502981942911916009739093489034309955934566208805943
<56>
1077-1038-1 = 99999999999999999999999999999999999999899999999999999999999999999999999999999
<77> = 359
2 × 65239 × 559591 × 128793261445584607
<18> × 165021277683845028870492331516761817141866353
<45>
1079-1039-1 = 9999999999999999999999999999999999999998999999999999999999999999999999999999999
<79> = 4040255276580827
<16> × 116812817413393767057762776117
<30> × 21188523531074432543884994105182361
<35>
1081-1040-1 = 999999999999999999999999999999999999999989999999999999999999999999999999999999999
<81> = 5526359227
<10> × 691044797694261181
<18> × 181291064358740245125683
<24> × 1444369428878735443946701647019
<31>
1083-1041-1 = 99999999999999999999999999999999999999999899999999999999999999999999999999999999999
<83> = 1591841 × 325860793 × 39166994854175921447168042353
<29> × 4922071891109276417023906267948361568391
<40>
1085-1042-1 = 9999999999999999999999999999999999999999998999999999999999999999999999999999999999999
<85> = 31 × 15887 × 20304692211323114658566448120496165458875889599327508593960978442508279238249167
<80>
1087-1043-1 = 999999999999999999999999999999999999999999989999999999999999999999999999999999999999999
<87> = 43 × 307 × 234128897 × 323547575513700107831007741566580683678903727964754138044628049188101044367
<75>
1089-1044-1 = 99999999999999999999999999999999999999999999899999999999999999999999999999999999999999999
<89> = 13548553 × 8051046785123261109669994435396781
<34> × 916758056129819848192822914320507817024404674243
<48>
1091-1045-1 = 9999999999999999999999999999999999999999999998999999999999999999999999999999999999999999999
<91> = 23 × 353 × 13203263 × 93285938345290255200185413317576457478793327426576986238669490709850779245191367
<80>
1093-1046-1 = 999999999999999999999999999999999999999999999989999999999999999999999999999999999999999999999
<93> = 127 × 349 × 1481 × 1567607706133097
<16> × 31094372946638945208619623498991
<32> × 312533518044068406724766034725680985099
<39>
1095-1047-1 = 99999999999999999999999999999999999999999999999899999999999999999999999999999999999999999999999
<95> = 27909570243413814130901772554828693
<35> × 3583000351773539267800974555826777531487049822276097779173443
<61> (Makoto Kamada / GGNFS-0.50.2 / Total time: 0.80 hours (actual time: 2.0 hours))
1097-1048-1 = 9999999999999999999999999999999999999999999999998999999999999999999999999999999999999999999999999
<97> = 490913 × 1916951 × 3939521 × 1880129243
<10> × 1434674340811183606548319461218669781287749904796273309161995753909691
<70>
1099-1049-1 = 999999999999999999999999999999999999999999999999989999999999999999999999999999999999999999999999999
<99> = 9749 × 11237753507624591
<17> × 9127680453986244150392840833873266696712898279308227257525736684312919750469261
<79>
10101-1050-1 =
(9
)508
(9
)50<101> = 277 × 9844258787141
<13> × 315929612074325379869310190187693
<33> × 116077186952663070405343709194883721743038816553782499
<54> (Makoto Kamada / GGNFS-0.50.2-k2 / Total time: 0.61 hours (actual time: 0.73 hours))
10103-1051-1 =
(9
)518
(9
)51<103> = 139 × 11540370533
<11> × 6233980602047751218933871347607237902308672865486253916113487276192569844553179155757661977
<91>
10105-1052-1 =
(9
)528
(9
)52<105> = 337 × 14518287073
<11> × 9366495289372359673865144882571886727
<37> × 21821148284857181963150552519403939629066397499627226137
<56> (Makoto Kamada / GGNFS-0.72.7 / 0.62 hours)
10107-1053-1 =
(9
)538
(9
)53<107> = 23 × 32839 × 173651 × 3062906343272328403335314588051
<31> × 248926558232605450464903638036099864754505132117548139106701056967
<66> (Sinkiti Sibata / GGNFS-0.73.4 / 1.84 hours /
May 19, 2005 2005 年 5 月 19 日)
10109-1054-1 =
(9
)548
(9
)54<109> = 365839 × 13835897 × 5480292912533378123538546154177489
<34> × 360494719038064366749818935134129293322105503442872232632531977
<63> (Sinkiti Sibata / GGNFS-0.73.4 / 2.69 hours /
May 20, 2005 2005 年 5 月 20 日)
10111-1055-1 =
(9
)558
(9
)55<111> = 1097 × 20618985152145703
<17> × 44210567180316589412501580367018014076723995435424524805378771588467816225800478451735469089
<92>
10113-1056-1 =
(9
)568
(9
)56<113> = 1087 × 50095838034814903462011545148739
<32> × 1836406451235725389377129252823059601781791833991426950438618187866012010892843
<79> (Sinkiti Sibata / GGNFS-0.73.4 / 3.16 hours /
May 20, 2005 2005 年 5 月 20 日)
10115-1057-1 =
(9
)578
(9
)57<115> = 31
2 × 2940707668138657
<16> × 3973249710067366420956494214167
<31> × 890592222105420775989886473748923695401195757525847169120130701561
<66> (Sinkiti Sibata / GGNFS-0.73.4 / 3.92 hours /
May 21, 2005 2005 年 5 月 21 日)
10117-1058-1 =
(9
)588
(9
)58<117> = 127 × 131 × 60397 × 66173 × 263711764951
<12> × 9739375666816007
<16> × 1882110043281803856777181
<25> × 3111165804827677456546971759247249642436589158140351
<52>
10119-1059-1 =
(9
)598
(9
)59<119> = 373 × 3823 × 3007030997
<10> × 7247415287213
<13> × 557279419977487912170601
<24> × 1309253586979421996922270881381
<31> × 4410309218022549660523324395940334641
<37> (Makoto Kamada / msieve 0.81 / 2.1 minutes)
10121-1060-1 =
(9
)608
(9
)60<121> = 164963 × 495988049 × 141711241752071084469553066263261787
<36> × 862457966742904708912917315169458428756335831525053401912917042242675071
<72> (Sinkiti Sibata / GGNFS-0.73.4 / 5.28 hours /
May 21, 2005 2005 年 5 月 21 日)
10123-1061-1 =
(9
)618
(9
)61<123> = 107 × 8887 × 20707 × 591566821 ×
85849950830736198868395865628820470479255606934716031206837188247339471156132681178701680782255334840613<104>
10125-1062-1 =
(9
)628
(9
)62<125> = 759210964394892258539
<21> × 17917584972714049336810799980595241433
<38> × 7351196906759077269924957981770147293433930420124404381630195708677
<67> (Sinkiti Sibata / GGNFS-0.73.4 / 6.50 hours /
May 22, 2005 2005 年 5 月 22 日)
10127-1063-1 =
(9
)638
(9
)63<127> = 139 × 19963 × 3774747091927625657743729451228357
<34> × 954710136764649859877801672538641593146625737922693616350593097127077693656695281647451
<87> (Sinkiti Sibata / 8.79 hours /
May 22, 2005 2005 年 5 月 22 日)
10129-1064-1 =
(9
)648
(9
)64<129> = 43 × 491 × 19655059563859
<14> × 1266822658254916747764361237
<28> × 1196242807645941468977500951234458571367
<40> × 1590158905895296818289853912013192282867836543
<46> (Makoto Kamada / msieve 0.88 / 40 minutes)
10131-1065-1 =
(9
)658
(9
)65<131> = 134534758392309648280446413525895437621
<39> × 743302334615975765465545033092533822909903868321676440025588043284561046359265067290782741219
<93> (Sinkiti Sibata / GGNFS-0.73.4 / 13.08 hours /
May 23, 2005 2005 年 5 月 23 日)
10133-1066-1 =
(9
)668
(9
)66<133> = 353 × 5223404198864323076899326379413653580057029684034084525587
<58> × 5423400299784617038126491337385214152139516430815776771963160171909199109
<73> (Sinkiti Sibata / GGNFS-0.73.4 / 18.21 hours /
May 24, 2005 2005 年 5 月 24 日)
10135-1067-1 =
(9
)678
(9
)67<135> = 23 × 59 × 39724027106266234183
<20> × 457218875534555213276407439012533005109793918496731
<51> × 40573524158501361881716107525796537655755812002892882570878359
<62> (Sinkiti Sibata / GGNFS-0.77.1 / 32.58 hours /
May 28, 2005 2005 年 5 月 28 日)
10137-1068-1 =
(9
)688
(9
)68<137> = 1109 × 10111 ×
8918141184698360372988769652350344895733106432039884781183150171063316216150414796123712097788488267159685293066617890379813823101<130>
10139-1069-1 =
(9
)698
(9
)69<139> = 3137 × 458663 × 2154899 × 34697241587098301383
<20> ×
92954389819967583294799410578798471446877028263417284583528177631749174895881412379878091766839435311637<104>
10141-1070-1 =
(9
)708
(9
)70<141> = 211966639 ×
4717723528182187197863716657789719447313593532046333008091900725943953803032183757935606083747924124984592504672397999385176834360241<133>
10143-1071-1 =
(9
)718
(9
)71<143> = 83008147 × 61472649501964109609
<20> ×
19597350000037221348317850777298048149828170302996847565744793394887360712136624889864406185227447272334135804104413<116>
10145-1072-1 =
(9
)728
(9
)72<145> = 31 × 1368793 × 22237603 ×
10597722855424188072822206751894247196197941457784418105452351775452103838922983657131636733082859266090678709247678411826699246051<131>
10147-1073-1 =
(9
)738
(9
)73<147> = 83 × 113 × 3708202526668109917228307
<25> × 15862558419952376316679770375454352915971
<41> × 1812620068912988621361116139700801998459166922290934821642168987677184217078173
<79> (Sinkiti Sibata / GGNFS-0.77.1 / 85.26 hours /
May 31, 2005 2005 年 5 月 31 日)
10149-1074-1 =
(9
)748
(9
)74<149> = 61 × 18917 × 44457307 × 2986416743
<10> × 34754472743
<11> × 34517731760870911581764325642423398651167757
<44> × 544090801698841188467997932847833144106032723664810376251870210457031777
<72> (Sinkiti Sibata / GGNFS-0.77.1 / 64.30 hours /
June 3, 2005 2005 年 6 月 3 日)
10151-1075-1 =
(9
)758
(9
)75<151> = 23 × 61 × 49177 × 168009464541559
<15> ×
862673683618300651289725538445729629343776366298501594932974038681389563496817833037381221227696854235954292578368978185831958931<129>
10153-1076-1 =
(9
)768
(9
)76<153> = 172283 × 1797928278947
<13> × 232367410537762253436893435743680173134834583
<45> × 13893446489946086391859294936143559777128365342772247306385364377047320856811668498730095753
<92> (Dmitry Domanov / Msieve 1.40 snfs /
February 9, 2011 2011 年 2 月 9 日)
10155-1077-1 =
(9
)778
(9
)77<155> = 59 × 353 × 3793 × 301450577 × 9072728781312443293153
<22> × 12680866817208352486487
<23> × 36499545042659701318612435079556318363541835726587299477105380275531241063954729005734753662747
<95>
10157-1078-1 =
(9
)788
(9
)78<157> = 6359 × 90313 × 120091 × 551014880786554031390483670954154780331
<39> × 1896406149083444313662548861284542023195305613240351
<52> × 138757275057840250839145808691163084894093451702866007
<54> (Dmitry Domanov / Msieve 1.40 snfs /
February 9, 2011 2011 年 2 月 9 日)
10159-1079-1 =
(9
)798
(9
)79<159> = 10753080187126840473567899674247
<32> × 3384684079111676294540535616532299037
<37> × 12749334725754328935236819726113523834959
<41> × 2155070358960166202984093855458929077714417969769299
<52> (Dmitry Domanov / Msieve 1.40 snfs /
February 9, 2011 2011 年 2 月 9 日)
10161-1080-1 =
(9
)808
(9
)80<161> = 1399 × 160343 × 114906871 × 569738624296398546714086861
<27> × 1100015463116760050845946254703346501892733958201797627
<55> × 6190301888215718042286289832607750860949568351275619092230806711
<64> (Sinkiti Sibata / Msieve 1.40 snfs /
February 11, 2011 2011 年 2 月 11 日)
10163-1081-1 =
(9
)818
(9
)81<163> = 998328344108243519326272248489
<30> ×
10016744550043299499579324668470026899491798034311333054898575946360718518275839850691562248439208905213034514529655164380071583487591<134> (Serge Batalov / GMP-ECM B1=1000000, sigma=4270254010 for P30 /
February 7, 2011 2011 年 2 月 7 日)
10165-1082-1 =
(9
)828
(9
)82<165> = 286553 × 27064637 × 630152197 × 848855124892693694893968316120546678530011201
<45> × 241053701185483192017557135226899912173173299527966297981265801318615137272944090168892021471459847
<99> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs /
February 11, 2011 2011 年 2 月 11 日)
10167-1083-1 =
(9
)838
(9
)83<167> = 18477165953
<11> × 2273374863239311613
<19> × 3140144282879293001154597089
<28> × 55236558137451343933095469346036353
<35> × 13725158680334267699281708764762542528943670098663422829356691905625627034123
<77> (Erik Branger / GMP-ECM B1=3000000, sigma=3718025736 for P35 /
February 7, 2011 2011 年 2 月 7 日)
10169-1084-1 =
(9
)848
(9
)84<169> = 100036320130834943529138780664396063768786416272340778924697781016049
<69> ×
99963693055894657701001596134073004248220745363699422403371443828602899053089704053788701792852493551<101> (Kenji Ibusuki / GGNFS-0.77.1 snfs /
February 12, 2011 2011 年 2 月 12 日)
10171-1085-1 =
(9
)858
(9
)85<171> = 43 × 7109 × 1182451213
<10> × 28476499728822840568309
<23> × 92748814534140226490116523
<26> × 5083119224908346872214850085471223
<34> × 206069885479237270777823496485008696195184411920025283392381585174570855389
<75> (Serge Batalov / GMP-ECM B1=1000000, sigma=2734683917 for P34 /
February 6, 2011 2011 年 2 月 6 日)
10173-1086-1 =
(9
)868
(9
)86<173> = 175601 × 2434967 × 2627149518869
<13> × 89179053048931
<14> ×
998233840435009839377267198808473978241188421373146776781168267972743789476202782382850021085111755883193114931021038457208886525602423<135>
10175-1087-1 =
(9
)878
(9
)87<175> = 31 × 6373 × 3355646825441
<13> × 144718991950626799213409101
<27> × 122501719946408614107830157174796229887324990829
<48> × 850844952078243934542776187798948749775704334465504076495508113487298819352558719557
<84> (Serge Batalov / Msieve 1.49 snfs /
March 6, 2011 2011 年 3 月 6 日)
10177-1088-1 =
(9
)888
(9
)88<177> = 127 ×
7874015748031496062992125984251968503937007874015748031496062992125984251968503937007873937007874015748031496062992125984251968503937007874015748031496062992125984251968503937<175>
10179-1089-1 =
(9
)898
(9
)89<179> = 23 × 733 × 125387 × 7057226869098732611
<19> × 25507158186695050346590311778565052166001
<41> ×
262796467564301986439543346530265149118762674300657759218271361492617173794406585318804925547804926292735073373<111> (Serge Batalov / GMP-ECM B1=3000000, sigma=321970931 for P41 /
February 20, 2011 2011 年 2 月 20 日)
10181-1090-1 =
(9
)908
(9
)90<181> = 163 × 601254998668209602484877
<24> ×
102036063546123345273233993118993235392604533277877640957093243171167036923891792702920192257209454963678694829140963267378043111697403705396023065052157449<156>
10183-1091-1 =
(9
)918
(9
)91<183> = 25707466780191985577549
<23> × 5059376613324184256661411113960709456914442282239818477994718072707
<67> × 7688536984454226647810753817805243446028990837454475688002251898173545795361565609259501901993
<94> (Serge Batalov / Msieve 1.49 snfs /
March 7, 2011 2011 年 3 月 7 日)
10185-1092-1 =
(9
)928
(9
)92<185> = 7193 × 120907 × 57252529043
<11> × 7046752398775349705519
<22> × 142618128102950409918855566882775469211
<39> ×
1998389203230910796696645628886647730494967121457311996476663188268439286162299825203795025561167279182827<106> (Serge Batalov / GMP-ECM B1=3000000, sigma=738710693 for P39 /
February 19, 2011 2011 年 2 月 19 日)
10187-1093-1 =
(9
)938
(9
)93<187> = 1973 × 2074739 × 10571854537021
<14> × 1239864702243677
<16> × 71256564380083602391
<20> × 30491044960837855680766548818590459
<35> × 85780146085582238940853664780786606101137199290394167240120226446557159888511835878954467692429
<95> (Serge Batalov / GMP-ECM B1=1000000, sigma=50243986 for P35 /
February 6, 2011 2011 年 2 月 6 日)
10189-1094-1 =
(9
)948
(9
)94<189> = 113 × 142903 × 4090706443
<10> × 387059048680486639
<18> × 3363560397016739847345619971246041087
<37> × 92714616383738288045013496948869930274723439
<44> × 125417238661907896335048251899148324004706928120282288074456695029552194981
<75> (Serge Batalov / GMP-ECM B1=3000000, sigma=867999050 for P37 /
February 20, 2011 2011 年 2 月 20 日) (Dmitry Domanov / Msieve 1.40 gnfs for P44 x P75 /
February 22, 2011 2011 年 2 月 22 日)
10191-1095-1 =
(9
)958
(9
)95<191> = 2141 × 775553503 × 85510966144297324353030692388914542042841054742163
<50> × 1650314414984519644104272753011430864607146121797915394521
<58> × 426759367181644910756283980247904234077442096327830329316871879559354831
<72> (Serge Batalov / Msieve 1.49 snfs /
March 28, 2011 2011 年 3 月 28 日)
10193-1096-1 =
(9
)968
(9
)96<193> = 223 × 7717 × 80080245492089
<14> × 693368971886433790237
<21> × 24024957484613347557923
<23> × 1362602819813531617516739
<25> × 1726832106367074954723306036126432110596511555479
<49> × 1851291519976626026454045890890762630353225391712410912471
<58> (Dmitry Domanov / Msieve 1.40 gnfs for P49 x P58 /
February 7, 2011 2011 年 2 月 7 日)
10195-1097-1 =
(9
)978
(9
)97<195> = 23 × 139 ×
312793243665936815764779480763215514544885830466061933062245855489521426337191116671879887394432277134813888020018767594619956208945886768845792930872693149827963715983734751329371285580231467<192>
10197-1098-1 =
(9
)988
(9
)98<197> = 353 × 136296161 × 1858002799506935757352550326081771276441
<40> ×
1118652782402547369912056578669352839661516628189027067718712917265512642906641056083524152583509530935824358530509755393187238472962377579195832983<148> (Serge Batalov / GMP-ECM B1=11000000, sigma=960949948 for P40 /
March 26, 2011 2011 年 3 月 26 日)
10199-1099-1 =
(9
)998
(9
)99<199> = 1478382144061848794582747
<25> × 97339192929666402516556929262980516117532989612111993815732551663706215314907
<77> × 69490518228993644913321945992687650197757347374570382882526742677894025977478013460666121779217431
<98> (Serge Batalov / Msieve 1.49 snfs /
March 28, 2011 2011 年 3 月 28 日)
10201-10100-1 =
(9
)1008
(9
)100<201> = 127 × 443 × 487 × 869069 × 37964827 × 408563843 × 2950189363189
<13> × 44815190889672228509705492561689981853052494086776310594395864204732205576903
<77> × 20478249701934975256799222215361166158562956319797990177215458156199930499244394819
<83> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs /
June 18, 2012 2012 年 6 月 18 日)
10203-10101-1 =
(9
)1018
(9
)101<203> = 7559586366702775181064356434868239
<34> × 84457674463514099333628480045031031941
<38> ×
156625636134910292334863786095808946581445431605507502615551605697705019226472666618448107754204501404958206272167717834195094031901<132> (Serge Batalov / GMP-ECM B1=250000, sigma=2852525604 for P34 /
February 6, 2011 2011 年 2 月 6 日) (Serge Batalov / GMP-ECM B1=3000000, sigma=2363450818 for P38 /
February 7, 2011 2011 年 2 月 7 日)
10205-10102-1 =
(9
)1028
(9
)102<205> = 31 × 24747625099107650179219872679210683194006146384818390363990780542148507244061
<77> ×
13034812183772815230530442009487945137455735861180066232750242252129067058913621715625089679461445876442576190925697372099032789<128> (Dmitry Domanov / Msieve 1.40 snfs /
November 24, 2011 2011 年 11 月 24 日)
10207-10103-1 =
(9
)1038
(9
)103<207> = 79589 × 552843528150711282596603
<24> × 2352846423855842777681686274159
<31> × 240375359727667139328466774999386175099700058283970692168697671407493
<69> × 40184742918640359706793271569019021977114335944039704865838933574696949993661531
<80> (Serge Batalov / GMP-ECM B1=1000000, sigma=3088155025 for P31 /
February 6, 2011 2011 年 2 月 6 日) (ebina / Msieve 1.53 snfs for P69 x P80 /
August 3, 2022 2022 年 8 月 3 日)
10209-10104-1 =
(9
)1048
(9
)104<209> = 820255307836584135664867297252206789143752842966295302533
<57> ×
121913261693787857857550818941776341211834531114664350243968029763258424083324072892211751956089787483075423844864124832992101705777583364242629599002803<153> (Erik Branger / GGNFS, Msieve snfs /
September 24, 2011 2011 年 9 月 24 日)
10211-10105-1 =
(9
)1058
(9
)105<211> = 1657608881
<10> ×
6032786210681505150550650313510235108350629064951299570166817898461778330686923968043098340518603917880432133133582070860055919307058780170712659206608099730614317334850234794319975654136230463403266479<202>
10213-10106-1 =
(9
)1068
(9
)106<213> = 43 × 77003 × 19163137034843636981886862097633742601500892098973
<50> × 122262198379864019975620599575399166898940717656093988839122096992053
<69> × 128903613900824761215694618334046213054471793536567524072542030548838419293022661086541399
<90> ([P3D] Crashtest / GMP-ECM B1=110000000, sigma=2265369094 for P50 /
July 5, 2012 2012 年 7 月 5 日) (ebina / Msieve 1.53 for P69 x P90 /
May 5, 2023 2023 年 5 月 5 日)
10215-10107-1 =
(9
)1078
(9
)107<215> = 158261 × 36949340732511729323657
<23> × 1352315832875337262159635823390033485293218399
<46> × 16674130897728498503357903235374789919668736092132261466911
<59> × 758399540520618149316027202809334115733467817423457670161072141123566146731754195083
<84> (Dmitry Domanov / GMP-ECM B1=43000000, sigma=1043111032 for P46 /
September 4, 2011 2011 年 9 月 4 日) (Dmitry Domanov / Msieve 1.40 gnfs for P59 x P84 /
December 7, 2011 2011 年 12 月 7 日)
10217-10108-1 =
(9
)1088
(9
)108<217> = 22711151124973
<14> × 147531391737139683185833537693610710422739918589958615625625204137778807700711389597176562421259
<96> ×
2984533193861394254380010005291027575332117614627903377291334604440734249431933626480603288174860361641591857<109> (Bob Backstrom / Msieve 1.54 snfs for P96 x P109 /
October 2, 2019 2019 年 10 月 2 日)
10219-10109-1 =
(9
)1098
(9
)109<219> = 139 × 353 × 409 × 14407 × 121069177 ×
28568013340517988034895151638900793654590161894315263931708507258290118700267910537372559311144016971501935766184944935023539151619841565502030320859889548653593344307373102280110537429950461955707947<200>
10221-10110-1 =
(9
)1108
(9
)110<221> = 821 × 857 × 3313 × 402037 × 136418350709050918447
<21> × 38694589449281169985369
<23> × 1364024688209557924939979805273603204139082546859550035332895129836380167101
<76> × 14819832420512057343769188884121813431329615280935543745313708108181600994203628631644749
<89> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P76 x P89 /
September 12, 2018 2018 年 9 月 12 日)
10223-10111-1 =
(9
)1118
(9
)111<223> = 23 × 8969875861
<10> × 10493734547109130209733
<23> × 29154307807335799892293234155485274016188633245520758421707676487245643
<71> ×
158435654655007667170047889555557457679696300965848045800590529892063928889049264729202906342278255134895387034921406707<120> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P71 x P120 /
September 21, 2019 2019 年 9 月 21 日)
10225-10112-1 =
(9
)1128
(9
)112<225> = 743 × 126001 × 540307 × 45794479 × 1634520590521473348148202848741644245791960940194114612202624954201929
<70> ×
264115009070927090455589573617437080289082067331968321887743550522113823971865910037735391488725710232640721368774902665706971292753989<135> (Bob Backstrom / Msieve 1.54 snfs for P70 x P135 /
October 6, 2019 2019 年 10 月 6 日)
10227-10113-1 =
(9
)1138
(9
)113<227> = 60413 × 1871763593257
<13> × 296376012864178413013672659353
<30> ×
2983840129747746191380720197421290593121725369712096053147254916255039918871093018846052632161903660187282431845377925231647088393488755841509345840993092355107825897821805901125163<181> (Serge Batalov / GMP-ECM B1=250000, sigma=1039667421 for P30 /
February 6, 2011 2011 年 2 月 6 日)
10229-10114-1 =
(9
)1148
(9
)114<229> = 83 × 107 × 1466018201
<10> × 20884237703197015109
<20> × 19574360025501946753913064012065826843932679851293
<50> × 156032171285273956744185153021179440139941760074454565846444610752739
<69> × 12041439725549072957631715515671829983900816971165463152391725473629593794755453
<80> (Mr. Ice / GMP-ECM B1=110000000, sigma=335566135 for P50 /
July 11, 2012 2012 年 7 月 11 日) (Bob Backstrom / for P69 x P80 /
June 28, 2024 2024 年 6 月 28 日)
10231-10115-1 =
(9
)1158
(9
)115<231> = 337 × 541 × 7963 × 16421 × 1526103624663171143359364913971323014541
<40> ×
[27486060199983305869057368785364671661605199886184785931250084133516498988072814278659204638260061646506206463527535902070997187402178132975235989100714093967862988545281885087329<179>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2907889767 for P40 /
February 27, 2011 2011 年 2 月 27 日)
Free to factor
10233-10116-1 =
(9
)1168
(9
)116<233> = 4955893 × 198462349 × 1298005824995413355310403
<25> ×
[78329131290121643510139894478144533790459344446078618848654220620631609346143369487467299133821521730019215863154884402851997282793547499403647887164383888348629468505300342650823182685858480869<194>]
Free to factor
10235-10117-1 =
(9
)1178
(9
)117<235> = 31 × 79699 ×
4047486733350359760858293846727343889448566359961613635820905188028019941157637870552469796642124056277874535196742258473312289100644400362816710777526248963337460420639106250169488506959046314985941054831707525370658716323392571<229>
10237-10118-1 =
(9
)1188
(9
)118<237> = 17417 × 4182853 × 1883728955446124461
<19> × 272434164391348944161
<21> × 44032632897242593187695915034940373513
<38> × 188428648419655099409995182147536045642951443
<45> ×
3223684090219162499327627143857491979500481857617221949359435125134231629645730113818883409991479799477141<106> (Serge Batalov / GMP-ECM B1=3000000, sigma=1194739938 for P38 /
February 20, 2011 2011 年 2 月 20 日) (Serge Batalov / GMP-ECM B1=11000000, sigma=602313332 for P45 /
February 22, 2011 2011 年 2 月 22 日)
10239-10119-1 =
(9
)1198
(9
)119<239> = 23 × 277 × 550163 × 507798283 × 31488736678837
<14> × 5329886557303492057
<19> × 2110248616008252961840961860876949305475346925545683198133976113129929266780403421883796749
<91> × 158636441950878520255445619382885407556460714059496040058370991555934494487738775164862248871474621
<99> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P91 x P99 /
February 12, 2024 2024 年 2 月 12 日)
10241-10120-1 =
(9
)1208
(9
)120<241> = 15373 × 21179 × 69318562463
<11> × 136847101288747941340536937196329648549
<39> × 16954652980607022299896603608007213260317
<41> ×
190968557196548920929256758077341023970046353302584566977030302264685103503349621692297267818615607902563402121461346313594419985647835520640143<144> (Serge Batalov / GMP-ECM B1=1000000, sigma=2513455804 for P39 /
February 7, 2011 2011 年 2 月 7 日) (Serge Batalov / GMP-ECM B1=3000000, sigma=3034432945 for P41 /
February 19, 2011 2011 年 2 月 19 日)
10243-10121-1 =
(9
)1218
(9
)121<243> = 35465053667
<11> × 198074549311613601871
<21> ×
142354336736360212384689353052885852169975739510201166604452981674927200592136316427278966827461051722839449288608364095794521718958976998045825703403557766494370573306344170281267630664339431372732057662225166907<213>
10245-10122-1 =
(9
)1228
(9
)122<245> = 2543 × 8467 × 17981 × 152184767706359
<15> ×
1697223565833701876797810065947824536805260888733458998556996794653862425337888950850934281574112148301604111265151696719078688728821690700114986112417461138338990486182545664826357980360395316195925765566756417692974001<220>
10247-10123-1 =
(9
)1238
(9
)123<247> = 14411 × 436127 × 25817296479504737
<17> × 84790425259283963083
<20> ×
726834163304042025731937777374644471996520842953532608610292735610573258402341235560572097447679856750917993803706733767544612483971681660665983658404066539073890333692837205577012946496760070949146377<201>
10249-10124-1 =
(9
)1248
(9
)124<249> = 18199 ×
[54948074070003846365184900269245562943018847189406011319303258420792351228089455464585966261882521017638331776471234683224352436947085004670586295950326941040716522885872850156602011099510962140776965767349854387603714489807132260014286499258201<245>]
Free to factor
10251-10125-1 =
(9
)1258
(9
)125<251> = 59 × 2176313 × 6920201 × 125126803 × 950630839 × 68412234753401592667
<20> ×
13829672587643939345677529872910072134162540658928528243347769797226515972012051037554708120983587396737282452701097637829657189205229955614400498927288462924475795688004115302166590853134121020973723<200>
10253-10126-1 =
(9
)1268
(9
)126<253> = 546575179812049671663821029
<27> × 5691978652647575874223595681
<28> ×
3214303128919184715811223260172733477355597712943353231862393314438848773205046062981687501296982019190473915416082774183185861753383245695432267380713147416393553356145018220977111562371065932563251<199>
10255-10127-1 =
(9
)1278
(9
)127<255> = 43 × 349 × 1009 × 5281 × 36779 × 1396001 × 12618323 ×
[19302408274572321850500636179326404313200215298163083860818897961228208328012101212396038668396080637023168637621115368807924758688333784300144945311858908587511820699715360345091845618062033247097101730239483350492176142373249<227>]
Free to factor
10257-10128-1 =
(9
)1288
(9
)128<257> = 2657999 × 33713132569481
<14> × 34006224761527
<14> × 10988133966973311663620594807682361
<35> ×
2986508202191085199686156340594280241172142106561917176427768915351944400327843583593066279603452650676177895765289294887980128143936874372308172026594978782263232977124179649521484312357943<190> (Serge Batalov / GMP-ECM B1=3000000, sigma=1803600794 for P35 /
February 19, 2011 2011 年 2 月 19 日)
10259-10129-1 =
(9
)1298
(9
)129<259> = 122011 × 39757846366432697
<17> ×
2061475426491389308885320234928912178148648870282115709061663875472193081146546883201142191341245069240281988144815970543765078096359916462380200990332706009721634088546387527473052418247964818075957268229480805243159840405907446895142997<238>
10261-10130-1 =
(9
)1308
(9
)130<261> = 127 × 269 × 353 × 7076903 × 26197132983778839613249928550807916883
<38> ×
[447272591722527624432056811204234005982420011229536975552927970024400583166876975162170497039791448341999088413797895975922403496820303021203399821089839208639712566917871248490416255599900849541595945704035009<210>] (Serge Batalov / GMP-ECM B1=3000000, sigma=2681266139 for P38 /
February 7, 2011 2011 年 2 月 7 日)
Free to factor
10263-10131-1 =
(9
)1318
(9
)131<263> = 140587 ×
[711303321075206100137281540967514777326495337406730352024013600119498957940634624823063298882542482590851216684330699140034284820075113630705541764174496930726169560485677907630150725173735836172619089958531016381315484361996486161593888481865321829187620477<258>]
Free to factor
10265-10132-1 =
(9
)1328
(9
)132<265> = 31 × 84218135739613
<14> × 10564855992295429301
<20> × 38088006437811233859914690349437262257
<38> × 81566669787019140530390988244891349250983
<41> × 41076937845186288049710453655772779760129803502207898137437
<59> × 2840992367329388218550962506913738996616119439238514119434451501569093838962105863156090945939
<94> (Serge Batalov / GMP-ECM B1=1000000, sigma=4068956508 for P41 /
February 7, 2011 2011 年 2 月 7 日) (Serge Batalov / GMP-ECM B1=3000000, sigma=2950517912 for P38 /
February 20, 2011 2011 年 2 月 20 日) (RSALS + Lionel Debroux / ggnfs-lasieve4I14e on the RSALS grid + msieve SVN r719 for P59 x P94 /
June 19, 2012 2012 年 6 月 19 日)
10267-10133-1 =
(9
)1338
(9
)133<267> = 23 × 739 ×
[58833911866800023533564746720009413425898688003765370359475201506148143790080602459257516032240983703006412896393481202565158557392480437724304288992175089721715596870035888686238748014355474495499205742189798199682296875919279872918750367711949167500147084779667<263>]
Free to factor
10269-10134-1 =
(9
)1348
(9
)134<269> = 61 × 467 × 102942591841
<12> × 17911680356719396564909
<23> × 125706926938946875316119217323
<30> ×
15144768731693904365994997710453674080428899767232444753706041670430045759387119915994959964835024869805408973324069064367612365062738110425346733086204541082926397741154160564328930520039935870613840071<203> (Serge Batalov / GMP-ECM B1=1000000, sigma=4193963714 for P30 /
February 6, 2011 2011 年 2 月 6 日)
10271-10135-1 =
(9
)1358
(9
)135<271> = 59 × 61 × 2481013 × 6691114947944112745045824250938633007
<37> ×
167375012588233852639684347188283641667420911010045352056806942242386982212322992664108207061363971378774604786005801922972064146881385759501739508622095433069166308971769463135223187302272136789029027664282752427926516272611<225> (Serge Batalov / GMP-ECM B1=1000000, sigma=677010577 for P37 /
February 6, 2011 2011 年 2 月 6 日)
10273-10136-1 =
(9
)1368
(9
)136<273> = 131 × 6781 × 18518917 ×
[60788212746439901663130464769272494831155082050551436485227917079495039744186317901900057436487146902357419072714170849077052134338320096101268114463723820520290559905382868771113677667790495230427572509039560806539730812075229363909148730625777661660328419877<260>]
Free to factor
10275-10137-1 =
(9
)1378
(9
)137<275> = 8191050228152895045287791103281050427444807905547
<49> ×
12208446684443086654124286139759587594004153919754878538190074240611055183187600613521261829685982808540353185547446936297579771170127592515697979139500661561643970495405425014470592521002411569372877867147366030195762736033117<227> (skneo / GMP-ECM /
May 14, 2011 2011 年 5 月 14 日)
10277-10138-1 =
(9
)1388
(9
)138<277> = 29203004587
<11> × 77756664863
<11> × 5616059328522771097
<19> ×
784157231168764273505690645370088124860435667730801153489080908136825140861108058929849761585611033686361678524167935051497172267417229837322444879832109990864138098788771319072638424287654174970911137559168858104102663774010560641788507<237>
10279-10139-1 =
(9
)1398
(9
)139<279> = 401 × 2861 × 1201567 × 21079326683
<11> × 142889500983730810799128003551194314421659475941
<48> ×
[240842276289344112209805086043952029282047322349358624814004287429157505155804756984209586151057354127573023026017655968090112315832731653022192114065854745361212385112768522199533262038772208374346409835192259<210>] (stelf / GMP-ECM B1=110000000, sigma=1648794011 for P48 /
December 8, 2011 2011 年 12 月 8 日)
Free to factor
10281-10140-1 =
(9
)1408
(9
)140<281> = 1193 × 1163589980183266593637
<22> ×
[72037657730370221431332948278360401493481480442082738864842920915399670657753868069557707477756792170566230809063317145121936998330970066534579565209991012257161984828832467776238859122813910785326366791596978337909128611387151365580460745670695388556709339<257>]
Free to factor
10283-10141-1 =
(9
)1418
(9
)141<283> = 23 × 353 × 1291 × 22877 × 79961069369
<11> × 48967879551701064457093071969028328789
<38> ×
10650800557267913056667264511526335351634561195225529611170377849143679208584359396568122332446861018902846996089066749968836418542265661763871724174143894575604755735100276620445148508522392116259400544619269930712358806083<224> (Serge Batalov / GMP-ECM B1=3000000, sigma=1250313992 for P38 /
February 20, 2011 2011 年 2 月 20 日)
10285-10142-1 =
(9
)1428
(9
)142<285> = 127 × 487 × 493021 ×
[32794566885039267471099287569454897054470312532037781012656228500348247916152898031661762460497677906756353752345680301350300920677992820217849133490552732314890977278296172539189031824415674345987149028080625960447491020077652432205057010962329959337309140432101965584641731<275>]
Free to factor
10287-10143-1 =
(9
)1438
(9
)143<287> = 139 × 283 × 726614583491827
<15> × 401211144498956539567
<21> × 111383149939719909515501932462507258241
<39> ×
[78289256825972312538389218234696784666306623902431586115690922852433524021706448760279320705749652511408255267656719618734968512197562784177510361736449508015443061881129157324360740694499226998116973849136083<209>] (Serge Batalov / GMP-ECM B1=3000000, sigma=3425573835 for P39 /
February 20, 2011 2011 年 2 月 20 日)
Free to factor
10289-10144-1 =
(9
)1448
(9
)144<289> = 245112947 ×
[40797518541523634816401599545045656033828355872201234641432465825642412924030487871373028696032119429415533892626243035623899540484085485700598259299619942148547542859904499455102222731629104846917776236438461163783404717499479943831771562846086624710199416761122781490608082811717<281>]
Free to factor
10291-10145-1 =
(9
)1458
(9
)145<291> = 21523 × 199285432314961499443
<21> × 205360175078587279478419580474721236501
<39> × 20644859171897745225722220599691884140467461
<44> ×
[54991237197905976836352167110373899509855486260238892358799821414313633641378295210693033788318084402191544548137997725517707651141635752905563555162633814572916867366910361489295634031<185>] (Serge Batalov / GMP-ECM B1=3000000, sigma=1644286386 for P39 /
February 7, 2011 2011 年 2 月 7 日) (Dmitry Domanov / GMP-ECM B1=43000000, sigma=3052254140 for P44 /
July 20, 2011 2011 年 7 月 20 日)
Free to factor
10293-10146-1 =
(9
)1468
(9
)146<293> = 1295705266719460499440246583901883763451487031
<46> ×
[77178045477260138614817018614931347091915166454447101735777979630426387078050656611920652788097193819229904682290794298191754001110234503492231665370503037304050096151116589357380305401483595496714376486317427580253750387012607021917105536036683129<248>] (Dmitry Domanov / GMP-ECM B1=43000000, sigma=2576648024 for P46 /
February 10, 2011 2011 年 2 月 10 日)
Free to factor
10295-10147-1 =
(9
)1478
(9
)147<295> = 31 × 11523749 × 2095997474869
<13> × 2009665694922623843659501968495913
<34> ×
6645534877232741946958245806747291765108266826215403930433887381805421318914664552903805680834998476590410789255866689172934961756778047173905581965020721855685945768407509689243022060171546692712013559170431326825276191712155530917653858193<241> (Serge Batalov / GMP-ECM B1=3000000, sigma=3439622354 for P34 /
February 7, 2011 2011 年 2 月 7 日)
10297-10148-1 =
(9
)1488
(9
)148<297> = 43 × 3467 × 290918081 ×
[23057222400684070874789955560320532224148800624745173935037788794620539042253800909399913736466367201854902133770414714592976749842701491222380473873964779509773846712608211475562899998277014772324895226736336845570125588951116786464267944105177224633821498788082799868519259310815959<284>]
Free to factor
10299-10149-1 =
(9
)1498
(9
)149<299> = 34352041103
<11> ×
[2911035175469293860200700517309229070760290653812682124398190523438953047528903336617552253398629732071556900989657039535593385203338611643369982026185630463787582875494325470328952988735599208216864947083141594132250127565294791676996323370404066903866966999186522835245455953249416441233<289>]
Free to factor
10301-10150-1 =
(9
)1508
(9
)150<301> = 733 × 121237637775652817
<18> ×
[112527471274457124930849654885647556211437880026489787684893288746110190666008028945901775511194941570942261611582565708742405673696637125516592695244136853601302258122278985685718294877505322360662722838745680947543790579342471792486484839921955624134474596856839446581996789391259<282>]
Free to factor