Table of contents 目次

  1. About 2322...22 2322...22 について
    1. Classification 分類
    2. Sequence 数列
    3. General term 一般項
  2. Prime numbers of the form 2322...22 2322...22 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. Factor table of 2322...22 2322...22 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

1. About 2322...22 2322...22 について

1.1. Classification 分類

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

1.2. Sequence 数列

232w = { 23, 232, 2322, 23222, 232222, 2322222, 23222222, 232222222, 2322222222, 23222222222, … }

1.3. General term 一般項

209×10n-29 (0≤n)

2. Prime numbers of the form 2322...22 2322...22 の形の素数

2.1. Last updated 最終更新日

February 15, 2022 2022 年 2 月 15 日

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

  1. 209×100-29 = 23 is prime. は素数です。

No other prime number of the form 2322...22 exists. 2322...22 の形の素数はこれ以外に存在しません。

3. Factor table of 2322...22 2322...22 の素因数分解表

3.1. Last updated 最終更新日

June 16, 2022 2022 年 6 月 16 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=202, 204, 207, 208, 209, 211, 213, 214, 215, 216, 217, 219, 220, 221, 223, 224, 225, 227, 228, 229, 235, 236, 238, 239, 242, 243, 247, 248, 249, 250, 251, 254, 255, 256, 257, 259, 261, 262, 263, 264, 265, 266, 268, 272, 273, 277, 279, 280, 281, 283, 285, 289, 290, 291, 292, 293, 295, 299, 300 (59/300)

3.4. Factor table 素因数分解表

209×100-29 = 23 = definitely prime number 素数
209×101-29 = 232 = 23 × 29
209×102-29 = 2322 = 2 × 33 × 43
209×103-29 = 23222 = 2 × 17 × 683
209×104-29 = 232222 = 2 × 67 × 1733
209×105-29 = 2322222 = 2 × 3 × 7 × 55291
209×106-29 = 23222222 = 2 × 439 × 26449
209×107-29 = 232222222 = 2 × 1193 × 97327
209×108-29 = 2322222222<10> = 2 × 3 × 79 × 4899203
209×109-29 = 23222222222<11> = 2 × 383 × 30316217
209×1010-29 = 232222222222<12> = 2 × 116111111111<12>
209×1011-29 = 2322222222222<13> = 2 × 32 × 7 × 283 × 65124859
209×1012-29 = 23222222222222<14> = 2 × 11611111111111<14>
209×1013-29 = 232222222222222<15> = 2 × 811 × 143170297301<12>
209×1014-29 = 2322222222222222<16> = 2 × 3 × 1613 × 4993 × 48056993
209×1015-29 = 23222222222222222<17> = 2 × 211 × 86423 × 636739787
209×1016-29 = 232222222222222222<18> = 2 × 59 × 773 × 2545905477473<13>
209×1017-29 = 2322222222222222222<19> = 2 × 3 × 7 × 26423 × 823177 × 2542021
209×1018-29 = 23222222222222222222<20> = 2 × 83 × 313 × 1069 × 9157 × 45658373
209×1019-29 = 232222222222222222222<21> = 2 × 17 × 1527727 × 4470736826329<13>
209×1020-29 = 2322222222222222222222<22> = 2 × 32 × 47 × 179 × 241 × 63630207586763<14>
209×1021-29 = 23222222222222222222222<23> = 2 × 79 × 593 × 1361 × 182110032195433<15>
209×1022-29 = 232222222222222222222222<24> = 2 × 23 × 367 × 2333993 × 5893595585447<13>
209×1023-29 = 2322222222222222222222222<25> = 2 × 3 × 7 × 43 × 281 × 6151 × 127271 × 5845269337<10>
209×1024-29 = 23222222222222222222222222<26> = 2 × 337 × 144583 × 238301429914161841<18>
209×1025-29 = 232222222222222222222222222<27> = 2 × 3251 × 753329 × 47410236881800109<17>
209×1026-29 = 2322222222222222222222222222<28> = 2 × 3 × 608117 × 20540279 × 30985538171759<14>
209×1027-29 = 23222222222222222222222222222<29> = 2 × 4452986113<10> × 2607488731485992647<19>
209×1028-29 = 232222222222222222222222222222<30> = 2 × 116111111111111111111111111111<30>
209×1029-29 = 2322222222222222222222222222222<31> = 2 × 33 × 7 × 29 × 211842932149445559407245231<27>
209×1030-29 = 23222222222222222222222222222222<32> = 2 × 193 × 60161197466896948762233736327<29>
209×1031-29 = 232222222222222222222222222222222<33> = 2 × 116111111111111111111111111111111<33>
209×1032-29 = 2322222222222222222222222222222222<34> = 2 × 3 × 149 × 181 × 1051 × 13654788162602205289056623<26>
209×1033-29 = 23222222222222222222222222222222222<35> = 2 × 5113 × 17389 × 130594047088686716057135323<27>
209×1034-29 = 232222222222222222222222222222222222<36> = 2 × 79 × 80823091 × 18184913271142364204927699<26>
209×1035-29 = 2322222222222222222222222222222222222<37> = 2 × 3 × 72 × 17 × 197 × 2358529424178018641184618235337<31>
209×1036-29 = 23222222222222222222222222222222222222<38> = 2 × 95083 × 6103987 × 1391899703893<13> × 14373064108987<14>
209×1037-29 = 232222222222222222222222222222222222222<39> = 2 × 67 × 12821 × 17177396959<11> × 7869003275300184774247<22>
209×1038-29 = 2322222222222222222222222222222222222222<40> = 2 × 32 × 3973933 × 209333355747847<15> × 155085893093650429<18>
209×1039-29 = 23222222222222222222222222222222222222222<41> = 2 × 1427521 × 19529767681<11> × 416480045399532340034311<24>
209×1040-29 = 232222222222222222222222222222222222222222<42> = 2 × 61 × 1903460837887067395264116575591985428051<40>
209×1041-29 = 2322222222222222222222222222222222222222222<43> = 2 × 3 × 7 × 569 × 97172241284719316353762750950800159939<38>
209×1042-29 = 23222222222222222222222222222222222222222222<44> = 2 × 191 × 15731 × 59406359 × 65050576129364917511092636949<29>
209×1043-29 = 232222222222222222222222222222222222222222222<45> = 2 × 78426887657<11> × 1480501325246044005603080987135023<34>
209×1044-29 = 2322222222222222222222222222222222222222222222<46> = 2 × 3 × 23 × 43 × 269 × 277 × 5251993568932367092966561925480434241<37>
209×1045-29 = 23222222222222222222222222222222222222222222222<47> = 2 × 211 × 54739109 × 127122487 × 7908083038275957832853580047<28>
209×1046-29 = 232222222222222222222222222222222222222222222222<48> = 2 × 116111111111111111111111111111111111111111111111<48>
209×1047-29 = 2322222222222222222222222222222222222222222222222<49> = 2 × 32 × 7 × 79 × 59033189 × 3951935935134825076460584792846014187<37>
209×1048-29 = 23222222222222222222222222222222222222222222222222<50> = 2 × 151 × 40637 × 150373419851<12> × 1751931035475403<16> × 7182689815077901<16>
209×1049-29 = 232222222222222222222222222222222222222222222222222<51> = 2 × 113 × 1027531956735496558505408062930186823992133726647<49>
209×1050-29 = 23(2)50<52> = 2 × 3 × 241 × 1423 × 12073 × 216859 × 28495897 × 2973495013<10> × 5087312141724920917<19>
209×1051-29 = 23(2)51<53> = 2 × 172 × 281 × 2901487 × 4809319 × 1330722816767921<16> × 7699770863855317783<19>
209×1052-29 = 23(2)52<54> = 2 × 421 × 131913907369<12> × 93502183474717<14> × 22360388652958740752273567<26>
209×1053-29 = 23(2)53<55> = 2 × 3 × 7 × 21557 × 5166061 × 496485574630338093540911786160594225290683<42>
209×1054-29 = 23(2)54<56> = 2 × 624917 × 16343209 × 286495673975101<15> × 3968222713568146670204437487<28>
209×1055-29 = 23(2)55<57> = 2 × 1229 × 3141011 × 33947589997947012209<20> × 886019933059484765723331841<27>
209×1056-29 = 23(2)56<58> = 2 × 35 × 51620389357<11> × 13086495104159<14> × 7073313130418496467447412143279<31>
209×1057-29 = 23(2)57<59> = 2 × 29 × 257 × 347 × 733 × 65407262574761<14> × 93500201462760683<17> × 1001545514544753599<19>
209×1058-29 = 23(2)58<60> = 2 × 1180303 × 2429386081<10> × 1980374271750637403917<22> × 20447322913352994184781<23>
209×1059-29 = 23(2)59<61> = 2 × 3 × 7 × 83 × 38123089 × 28162954701763427587187<23> × 620454722216339342288943139<27>
209×1060-29 = 23(2)60<62> = 2 × 79 × 331 × 64369883 × 5713719439<10> × 24085412379503<14> × 50125991750487016499655649<26>
209×1061-29 = 23(2)61<63> = 2 × 853 × 1579 × 757487 × 113806596613813536085229830398686878565455225266319<51>
209×1062-29 = 23(2)62<64> = 2 × 3 × 1249 × 2801 × 5717 × 77641 × 4448337989<10> × 10428430333<11> × 5372803339215137648777890417<28>
209×1063-29 = 23(2)63<65> = 2 × 263 × 43795237 × 1008071070584494775734616023128825101422130012786438381<55>
209×1064-29 = 23(2)64<66> = 2 × 557 × 172877 × 1451832013920721<16> × 1223005047706026077<19> × 679104721921098292898347<24>
209×1065-29 = 23(2)65<67> = 2 × 32 × 7 × 43 × 2659 × 54559 × 130749217 × 5682436592713<13> × 560904821654201<15> × 7089525494195195879<19>
209×1066-29 = 23(2)66<68> = 2 × 23 × 47 × 309121 × 5219273 × 10944376173560099<17> × 608301029854250195739360865269708493<36>
209×1067-29 = 23(2)67<69> = 2 × 17 × 977 × 23028616099661<14> × 745340790354879479<18> × 407293581786045360403596899016341<33>
209×1068-29 = 23(2)68<70> = 2 × 3 × 263924804557<12> × 1466467078328169846469778689514041685061612543464155988641<58>
209×1069-29 = 23(2)69<71> = 2 × 30143759 × 70485795861870121<17> × 5464806190684372255858345772842501167291046049<46>
209×1070-29 = 23(2)70<72> = 2 × 67 × 131 × 20441 × 100017887804554328803<21> × 6470649349278827998350871563832556264165741<43>
209×1071-29 = 23(2)71<73> = 2 × 3 × 7 × 1381 × 5981 × 30427 × 85891191475242113317667689<26> × 2561410842171432083617934050114777<34>
209×1072-29 = 23(2)72<74> = 2 × 21286943 × 12116853409519083917<20> × 45016386401264077690765721716569517722682729981<47>
209×1073-29 = 23(2)73<75> = 2 × 79 × 97 × 1489 × 32479 × 366222949 × 328772026607<12> × 1383052881247973101589<22> × 1881474811622269667681<22>
209×1074-29 = 23(2)74<76> = 2 × 32 × 59 × 9430163 × 5520052051<10> × 4505346695249<13> × 1083516789442267693<19> × 8605042622288386172721241<25>
209×1075-29 = 23(2)75<77> = 2 × 211 × 9283 × 38639 × 1071541652651585257<19> × 3035836595990002963<19> × 47161721326038507109453694003<29>
209×1076-29 = 23(2)76<78> = 2 × 4877415967<10> × 3534613881260427109<19> × 105560793742888395878249<24> × 63802744355687210212342813<26>
209×1077-29 = 23(2)77<79> = 2 × 3 × 72 × 44048474316081950109238661<26> × 179318697507949556435619444212880637260244932999833<51>
209×1078-29 = 23(2)78<80> = 2 × 1064156933773287397283<22> × 10911089090911089733489092402445559901975561822903389663117<59>
209×1079-29 = 23(2)79<81> = 2 × 281 × 46861 × 8817711980264121103755789239267635776247107358022876250061502486312105371<73>
209×1080-29 = 23(2)80<82> = 2 × 3 × 241 × 39056189964468444569392488922861<32> × 41119290200691457513732354638516719185074635537<47> (Eric Jeancolas / ECM for P32 x P47 / February 12, 2022 2022 年 2 月 12 日)
209×1081-29 = 23(2)81<83> = 2 × 14657 × 29389 × 18749678251<11> × 1437639725063286867664233484488964110664820426215302971811076457<64>
209×1082-29 = 23(2)82<84> = 2 × 56807 × 2792431 × 75069119 × 23506830026237<14> × 97455036997387145820539<23> × 4256276163892709398805239199<28>
209×1083-29 = 23(2)83<85> = 2 × 33 × 7 × 17 × 22679 × 541187180309<12> × 29443650503132603395884595893244654543407068819655602913942333377<65>
209×1084-29 = 23(2)84<86> = 2 × 5507 × 1033423 × 49159857027483396917067273799207433<35> × 41502090237415014542930767644209844703147<41> (Eric Jeancolas / ECM for P35 x P41 / February 12, 2022 2022 年 2 月 12 日)
209×1085-29 = 23(2)85<87> = 2 × 29 × 186311 × 1173427751<10> × 4421806963633464829087279251627157<34> × 4141723976016121849877667212688328567<37> (Eric Jeancolas / ECM for P34 x P37 / February 12, 2022 2022 年 2 月 12 日)
209×1086-29 = 23(2)86<88> = 2 × 3 × 43 × 79 × 9332263 × 2669927604446253802091480867<28> × 4572676991012645623315503184282000013678996064101<49>
209×1087-29 = 23(2)87<89> = 2 × 233 × 99607 × 810412153767639500313115458443<30> × 617336640766345124437080610625932431416245705546267<51> (Eric Jeancolas / ECM for P30 x P51 / February 12, 2022 2022 年 2 月 12 日)
209×1088-29 = 23(2)88<90> = 2 × 23 × 1805155362528907<16> × 48073678207002033083<20> × 58173341030927689155639826272744845701370727252063497<53>
209×1089-29 = 23(2)89<91> = 2 × 3 × 7 × 1187 × 229798552061385656013974397653399<33> × 202701274520686183575142067421136856488890457811101007<54> (Eric Jeancolas / ECM for P33 x P54 / February 12, 2022 2022 年 2 月 12 日)
209×1090-29 = 23(2)90<92> = 2 × 571 × 6507631651854298805151179226511<31> × 3124745922005245149045849083955263990547412255199999577931<58> (Eric Jeancolas / ECM for P31 x P58 / February 12, 2022 2022 年 2 月 12 日)
209×1091-29 = 23(2)91<93> = 2 × 109 × 2341 × 455036117675388119681901450062943034267920911674659191011098962299931069648394245034119<87>
209×1092-29 = 23(2)92<94> = 2 × 32 × 167 × 1571 × 96054343309<11> × 6352134692684137970597<22> × 805938513054904263429421283984272582414713368941105139<54>
209×1093-29 = 23(2)93<95> = 2 × 2053 × 210857 × 364373 × 2037677 × 215938630994236489<18> × 43887251453482610963501<23> × 3811944334005033025784105657773639<34>
209×1094-29 = 23(2)94<96> = 2 × 997 × 35461 × 427369 × 45777813360575950249<20> × 167868644404792719598330166794674886910682736398196565689276943<63>
209×1095-29 = 23(2)95<97> = 2 × 3 × 7 × 45144729252272311589<20> × 1224749958783334102736264895625634074932169442063131389655621597612331395919<76>
209×1096-29 = 23(2)96<98> = 2 × 199 × 849350072638649<15> × 1146553035051954003760293776763979561<37> × 59915588315324068140952009149107341697442401<44> (Eric Jeancolas / ECM for P37 x P44 / February 12, 2022 2022 年 2 月 12 日)
209×1097-29 = 23(2)97<99> = 2 × 74524684450289<14> × 1632714425026062392501744642989<31> × 954252717540539588162339926472924404480704873467765491<54> (Eric Jeancolas / ECM for P31 x P54 / February 12, 2022 2022 年 2 月 12 日)
209×1098-29 = 23(2)98<100> = 2 × 3 × 376393 × 1028279051515402882192381465747335994657278528126285656314110615864367926707024405440688421509<94>
209×1099-29 = 23(2)99<101> = 2 × 17 × 79 × 14243 × 139955374771<12> × 86013694611084718316160493399355295281<38> × 50424210819507703501682510495953486784676689<44> (Eric Jeancolas / ECM for P38 x P44 / February 12, 2022 2022 年 2 月 12 日)
209×10100-29 = 23(2)100<102> = 2 × 61 × 83 × 409 × 38933 × 1432931 × 76332169 × 13167150343348961899822279792699154814176890537895407422871458536070679578559<77>
209×10101-29 = 23(2)101<103> = 2 × 32 × 7 × 1653346771746216871<19> × 11147289493017958168449647037616149996984505767172376410906910619309274081990327007<83>
209×10102-29 = 23(2)102<104> = 2 × 953 × 2113 × 2221 × 1085857 × 2390893269115937132660173725621493936085063182928578200983225224480450541080959068519867<88>
209×10103-29 = 23(2)103<105> = 2 × 67 × 10774523 × 300171265919957<15> × 535835902211056420218088312374555255221207773147922146278395814998589089047938203<81>
209×10104-29 = 23(2)104<106> = 2 × 3 × 37105199822861<14> × 210431094646804399<18> × 8339291308213708259611<22> × 5943998515769077825808442334531683157770618120107453<52>
209×10105-29 = 23(2)105<107> = 2 × 211 × 1931 × 28497650239203003897769520276828083357126825997165506444150468684082139772656927287904533689813030871<101>
209×10106-29 = 23(2)106<108> = 2 × 1015753 × 8614171 × 11872811617<11> × 1117682887468638819671274728789477964494438981582198747646677427347349682298768596541<85>
209×10107-29 = 23(2)107<109> = 2 × 3 × 7 × 43 × 281 × 5128862705111625309170352534781<31> × 892192641951128051789542322743746001446898587977588790672487560112801117<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3419699638 for P31 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P72 / February 12, 2022 2022 年 2 月 12 日)
209×10108-29 = 23(2)108<110> = 2 × 857 × 2753 × 52901 × 11081471 × 26830376210526637085355025612753037<35> × 312895047681905766971315117840029739982317255923039988033<57> (Eric Jeancolas / ECM for P35 x P57 / February 12, 2022 2022 年 2 月 12 日)
209×10109-29 = 23(2)109<111> = 2 × 433 × 3214949 × 347158069 × 240261692835925065095954458615202476014814175740638030322230369141997829214875607685047197407<93>
209×10110-29 = 23(2)110<112> = 2 × 33 × 23 × 241 × 1181 × 1479937 × 509755409 × 843111756763<12> × 175094928470122134762615336829682671<36> × 58986341009725286158375609492715086666819<41> (Eric Jeancolas / ECM for P36 x P41 / February 12, 2022 2022 年 2 月 12 日)
209×10111-29 = 23(2)111<113> = 2 × 42929 × 727009 × 137989493301430189<18> × 225986311149494263367143<24> × 11930401755599714013413845014196090984800587831140847705108213<62>
209×10112-29 = 23(2)112<114> = 2 × 47 × 79 × 4255386263454889<16> × 7348688597834097279864084927492143135595018339092682301364156181162677886921288309588554682223<94>
209×10113-29 = 23(2)113<115> = 2 × 3 × 7 × 29 × 229 × 277 × 794653 × 68335637 × 1291178509152288250107291662828534023<37> × 428676991064115494447257932579413796942928129690708598521<57> (Eric Jeancolas / ECM for P37 x P57 / February 12, 2022 2022 年 2 月 12 日)
209×10114-29 = 23(2)114<116> = 2 × 22229 × 9569417274427205726531813972839<31> × 54584377617915918763368160831537534492449564539586971032698585277754888740647581<80> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3538382855 for P31 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P80 / February 12, 2022 2022 年 2 月 12 日)
209×10115-29 = 23(2)115<117> = 2 × 17 × 526763 × 231962500162923977311<21> × 55897426837880600825702406526383294660631178640738864698411518537700441339979317840712731<89>
209×10116-29 = 23(2)116<118> = 2 × 3 × 23569619 × 16421013722667177481190384835539218391143150724542345679708994746034589572153755944762494338030539952174748223<110>
209×10117-29 = 23(2)117<119> = 2 × 472735140517<12> × 471939490272682401124574499860293<33> × 52043869034827168225823932199362536097629347041456028433132990659585959231<74> (Eric Jeancolas / ECM for P33 x P74 / February 12, 2022 2022 年 2 月 12 日)
209×10118-29 = 23(2)118<120> = 2 × 733 × 35855145908971<14> × 118455622362084401<18> × 7610431641572648954266499<25> × 4900646132602694315169321763869498626724112447292969429685923<61>
209×10119-29 = 23(2)119<121> = 2 × 32 × 72 × 1471 × 832951517399<12> × 2086178698176217<16> × 1030033355316460619432890534799019673797334516264822409132069021492220397201793077746047<88>
209×10120-29 = 23(2)120<122> = 2 × 36517531 × 206771141 × 42488138327941<14> × 6358969852707175761847<22> × 5691516270859578182449739015859639036410040814034168801277150037398683<70>
209×10121-29 = 23(2)121<123> = 2 × 7889017 × 5103344740418839662953178499<28> × 77877700577012371465330223234176831<35> × 37032485574976677665746306832676340961800759310078507<53> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:765534495 for P35 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P53 / February 12, 2022 2022 年 2 月 12 日)
209×10122-29 = 23(2)122<124> = 2 × 3 × 11270101 × 24972053515820129<17> × 188197444450970632190205197<27> × 7307296665220682957864164578550984971782305170790459204612994389313978749<73>
209×10123-29 = 23(2)123<125> = 2 × 151 × 59748865130303<14> × 10590384783654031<17> × 121522146834841160522205389703968492366655914810814175933558810927136436107769919393266642977<93>
209×10124-29 = 23(2)124<126> = 2 × 1451 × 234474192941<12> × 341280377801883256894544393069035886648869803147249250789051595220754885372222977708365019653566715088757694921<111>
209×10125-29 = 23(2)125<127> = 2 × 3 × 7 × 79 × 90931 × 5620987 × 1369313364546764148598410503238318234032127480525839235144831928631970737305841936582155879872910955894304766757<112>
209×10126-29 = 23(2)126<128> = 2 × 7127 × 27140798899<11> × 251407891949006264627<21> × 168858981192206664637493<24> × 9908630314736029943477016699364001<34> × 142701224089747383891676842493375237<36> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1010797447 for P34 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P36 / February 12, 2022 2022 年 2 月 12 日)
209×10127-29 = 23(2)127<129> = 2 × 1319 × 34843 × 1484201 × 1702239737897830965177528852176570550173935911433766825500686187924504934533326183986014833782271190118584207343483<115>
209×10128-29 = 23(2)128<130> = 2 × 32 × 43 × 1835947 × 841656667340622184984459<24> × 11807874816832355469228499311675029051981227<44> × 164435645596426141732158265234138426091121750351699743<54> (Dmitry Domanov / Msieve 1.54 gnfs for P44 x P54 / February 17, 2022 2022 年 2 月 17 日)
209×10129-29 = 23(2)129<131> = 2 × 54664409 × 90516083028199570701021516239502579834232669301<47> × 2346623263333970596297802019841326965799125176474431428796626770967350624579<76> (Dmitry Domanov / Msieve 1.54 snfs for P47 x P76 / February 17, 2022 2022 年 2 月 17 日)
209×10130-29 = 23(2)130<132> = 2 × 159644869541<12> × 184723737520662152717924717107790203<36> × 3937278248743430034116174743514978318822462028732405684902174365939921999093946691457<85> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:2204495232 for P36 x P85 / February 16, 2022 2022 年 2 月 16 日)
209×10131-29 = 23(2)131<133> = 2 × 3 × 7 × 17 × 2946721437607<13> × 31050123980966629723830826714867<32> × 35547015505865465076062838256309087213304914569645592007533415523439413279321467170367<86> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1313873007 for P32 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P86 / February 12, 2022 2022 年 2 月 12 日)
209×10132-29 = 23(2)132<134> = 2 × 23 × 59 × 36169450690443648209<20> × 6092860110951074032456343867128001<34> × 38826729776614542486585511998152753060441470586599243883511522758555633140147<77> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1005349274 for P34 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P77 / February 12, 2022 2022 年 2 月 12 日)
209×10133-29 = 23(2)133<135> = 2 × 197 × 3471103 × 29116197779<11> × 4580528306725651448991131974430118852661<40> × 1273180041068137401447723994701320929165435562421580713024566284548033121259<76> (Dmitry Domanov / Msieve 1.54 snfs for P40 x P76 / February 17, 2022 2022 年 2 月 17 日)
209×10134-29 = 23(2)134<136> = 2 × 3 × 431 × 491 × 1828916019851702038252522372718383511263234920149876605048823306935687086995322000354582187198042902344460318385401434815245353897<130>
209×10135-29 = 23(2)135<137> = 2 × 211 × 281 × 1009 × 47501 × 25144256168024350429038981024811247110067712785693<50> × 162499599296970945828725731746020578428953487782428037234365903871003755133<75> (ivelive / for P50 x P75 / February 17, 2022 2022 年 2 月 17 日)
209×10136-29 = 23(2)136<138> = 2 × 67 × 18269 × 94860236377184996614533477811373733264089899545279060206475786084992774736349816229851163835247467662871621784158558385840062736657<131>
209×10137-29 = 23(2)137<139> = 2 × 34 × 7 × 191 × 10721544559046982936841381673648495444113051248982992244578438101804400039808222860384970138702929084934126625032190283305272640157263<134>
209×10138-29 = 23(2)138<140> = 2 × 79 × 2683 × 92881991 × 7916751020627<13> × 144526797704437<15> × 31049404194771456510266445411977626027<38> × 16601443932554574174899666000573970079059525981745244758249561<62> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:1740254865 for P38 x P62 / February 16, 2022 2022 年 2 月 16 日)
209×10139-29 = 23(2)139<141> = 2 × 15329 × 266874193 × 19669563677<11> × 1442974483626333367286650645679300828666035939658766672909928296752515604188048632175658709401641355579340200504678819<118>
209×10140-29 = 23(2)140<142> = 2 × 3 × 241 × 44927 × 27231833005861894940967337654943622636302487091666449407497151<62> × 1312656788774506711567765062155981637992858855428808631271277503294130941<73> (Ignacio Santos / GNFS, Msieve for P62 x P73 / February 18, 2022 2022 年 2 月 18 日)
209×10141-29 = 23(2)141<143> = 2 × 29 × 83 × 4823893274246410931080644416747449568388496514794811429626552185754512302081890781516872086045330748280478234778193232700918616996722522273<139>
209×10142-29 = 23(2)142<144> = 2 × 3565156980793<13> × 15318556791875647477731409<26> × 7700389715956374911763935926061471052150061<43> × 276098830608223711802314146592617200982955731810542464083858923<63> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:1325905022 for P43 x P63 / February 16, 2022 2022 年 2 月 16 日)
209×10143-29 = 23(2)143<145> = 2 × 3 × 7 × 611678194247<12> × 211312547136101<15> × 176770189449978112021753786037<30> × 79555376453027473109828310743253469<35> × 30417788804385311830366886002919133511451784890547001<53> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3502288773 for P30 / February 12, 2022 2022 年 2 月 12 日) (ivelive / Msieve 1.38 for P35 x P53 / February 16, 2022 2022 年 2 月 16 日)
209×10144-29 = 23(2)144<146> = 2 × 73709 × 58252162513<11> × 145543317412127413833785441019588934835889853753274542908139<60> × 18580138185524029100687067655601583257849509231222793203763883577288697<71> (Ignacio Santos / GNFS, Msieve for P60 x P71 / February 18, 2022 2022 年 2 月 18 日)
209×10145-29 = 23(2)145<147> = 2 × 311 × 227707 × 142094133527<12> × 257791806437872316089<21> × 44760172598506542444110904636668209430488963982105460083077949234340245762941157250906569940102132129370781<107>
209×10146-29 = 23(2)146<148> = 2 × 32 × 3011 × 144439 × 9820117 × 3916562873<10> × 992710759462032468143917<24> × 151703116034206385802472097415647<33> × 51214984755209385549799898160106720879338753456078124673658409589<65> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2976477871 for P33 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P65 / February 12, 2022 2022 年 2 月 12 日)
209×10147-29 = 23(2)147<149> = 2 × 17 × 3461 × 3623 × 67511 × 945154211 × 2716793142853<13> × 314210822312288890692284470075783076016537785870190501040257234346270954299377160739761136570826598230997675228197<114>
209×10148-29 = 23(2)148<150> = 2 × 324427 × 14013832429021<14> × 4497404552269982305374707<25> × 18719348423425694170598016589809024454684433<44> × 303352226772970522167668678024522176208265536254089937877269043<63> (Taiyo Kodama / cado-nfs 3.0.0 for P44 x P63 / February 17, 2022 2022 年 2 月 17 日)
209×10149-29 = 23(2)149<151> = 2 × 3 × 7 × 43 × 967 × 1091 × 58391 × 960237344051<12> × 1952092820032727<16> × 249339258080134088743326953<27> × 44660046835307929722650460284019510802135395717256756060133273408321358379543596551<83>
209×10150-29 = 23(2)150<152> = 2 × 4507 × 57287 × 111857 × 253013 × 1589719 × 36026971 × 1339551908897705228197<22> × 2260650417853102213777<22> × 11420798600752338173021105107<29> × 802207272884241368887530753317399116799644972157<48>
209×10151-29 = 23(2)151<153> = 2 × 79 × 797 × 896821243796496545885645922413049521<36> × 5188369009841028355205772589361333484556899311<46> × 396325142520483422057370785212660130965989219678609811703914588387<66> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:4175747674 for P36 / February 17, 2022 2022 年 2 月 17 日) (Ignacio Santos / GNFS, Msieve for P46 x P66 / February 19, 2022 2022 年 2 月 19 日)
209×10152-29 = 23(2)152<154> = 2 × 3 × 283 × 3347 × 87271463 × 1585537258387079<16> × 658894354695261377493629<24> × 4481732005541388963444024977210891509790311747236797046606941681906316625710048819916500265251856289<100>
209×10153-29 = 23(2)153<155> = 2 × 14763962989<11> × 14769042876985790310866643727<29> × 21035162380012205990696737981951843474119371<44> × 2531468997305220572808703205789336723926413300734240012975390947069944647<73> (Erik Branger / GGNFS, Msieve snfs for P44 x P73 / February 19, 2022 2022 年 2 月 19 日)
209×10154-29 = 23(2)154<156> = 2 × 23 × 1137781 × 4436977923470299954610777320870953545660602260437722011036933756645653521353181290030908412806082958316350216518366093112329713298578591406587685997<148>
209×10155-29 = 23(2)155<157> = 2 × 32 × 7 × 13841 × 10938437076369974191<20> × 1852283880258298074337<22> × 65720815356420772930695447998209998225175628892274452351750098812007404711440690749022722845354517294743249351<110>
209×10156-29 = 23(2)156<158> = 2 × 13063 × 1116525309906392357<19> × 34721324100459197381<20> × 22927991031696828045144178945942050865867303220193078202586027127307880750275143940562681353261659771279633541311241<116>
209×10157-29 = 23(2)157<159> = 2 × 4909 × 191689 × 18507886199296993<17> × 75739496414768051<17> × 88024653353861189739255098401322431895713890768267930464008836646973747948321161565285584198855471694776501435471177<116>
209×10158-29 = 23(2)158<160> = 2 × 3 × 47 × 829 × 608167990046780503131522271014196937<36> × 41629685729251506078985468435190373174116497<44> × 392349810752951384542985256044926378976661307523870557025674319789301452791<75> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:40378187 for P36 / February 17, 2022 2022 年 2 月 17 日) (ebina / Msieve 1.53 for P44 x P75 / February 20, 2022 2022 年 2 月 20 日)
209×10159-29 = 23(2)159<161> = 2 × 1433 × 389693426474189267538197<24> × 20792394694811327266562575267418307725006689771490540087457409119493008282980308706808772008721022440990055751579489146172745710171811<134>
209×10160-29 = 23(2)160<162> = 2 × 61 × 16901 × 22973 × 917586287 × 42701392497607704800939876029590547749395152629991<50> × 125119465210907028592779338361809342221536198648190388179290115695895225206476769116548400011<93> (Ignacio Santos / GNFS, Msieve for P50 x P93 / February 20, 2022 2022 年 2 月 20 日)
209×10161-29 = 23(2)161<163> = 2 × 3 × 73 × 113 × 774191592955489254675749<24> × 3556673927754012843948767<25> × 71305771995138864573069458419490930861237688970594109<53> × 50858409500859370604043351622175785477267240225462352069<56> (Eric Jeancolas / cado-nfs-3.0.0 for P53 x P56 / February 17, 2022 2022 年 2 月 17 日)
209×10162-29 = 23(2)162<164> = 2 × 19867 × 335225459 × 471433776487291066419283088322730885507695682739<48> × 3698143849508867024589649713712521295843407075298649310587265957772292555948718323744996642489903863933<103> (Ignacio Santos / GNFS, Msieve for P48 x P103 / February 21, 2022 2022 年 2 月 21 日)
209×10163-29 = 23(2)163<165> = 2 × 17 × 281 × 3677 × 11124723369553<14> × 112683253529023<15> × 583176963437706263<18> × 34442971772930217826362751<26> × 262527821914444397556419007737613935759441968828508768354861888292348364498637247767597<87>
209×10164-29 = 23(2)164<166> = 2 × 33 × 79 × 13738815521<11> × 39621748185564006563591736574863454557359008712372589556899444286652770405570838431774332326440812275288394392653951982392967621121440549558519492068427<152>
209×10165-29 = 23(2)165<167> = 2 × 211 × 516599 × 1136337452139867429702979865610107925256827280124494922364063738752959333642537<79> × 93741186006786558395589730482223224451846948225776048848156029227968604625079027<80> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P79 x P80 / February 19, 2022 2022 年 2 月 19 日)
209×10166-29 = 23(2)166<168> = 2 × 287167 × 122203483 × 205321729 × 19908560099<11> × 809432992697910061476346423472794505384544277954533223160684726610086126222534740884757664016832734625167984279610824861614113379284681<135>
209×10167-29 = 23(2)167<169> = 2 × 3 × 7 × 2141 × 112197359 × 584096234745745199110049<24> × 7873910176542243633538418479<28> × 50047261879992408051502692343492926486527053601464303423170047175028729159706418452183682666871805501159<104>
209×10168-29 = 23(2)168<170> = 2 × 2038993777<10> × 177891273325088970120833159949802332987070483243883471076207166237<66> × 32011294504840940703475705639030461507413114859524616296003431417134337201805655622452521472739<95> (Ignacio Santos / GNFS, Msieve for P66 x P95 / February 22, 2022 2022 年 2 月 22 日)
209×10169-29 = 23(2)169<171> = 2 × 29 × 67 × 97 × 14369 × 146051 × 95919870149494969911742533038125910815927<41> × 3060480271501838535111922108147387584485738614589479204280028028802048872073665455392443916411481937891719658144957<115> (Ignacio Santos / GNFS, Msieve for P41 x P115 / February 23, 2022 2022 年 2 月 23 日)
209×10170-29 = 23(2)170<172> = 2 × 3 × 43 × 241 × 3312 × 577 × 27816751 × 610810023700472551<18> × 364065204386399176082531<24> × 25496640184867368943257341369690931083<38> × 3745937618709690134975565454128259454104184912655472050160040146418917079<73> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:278169376 for P38 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P73 / February 12, 2022 2022 年 2 月 12 日)
209×10171-29 = 23(2)171<173> = 2 × 18371 × 11765435467107461795347<23> × 1809671252594409794273115707901810832589126963504001674851<58> × 29684742790913808662772911898417242531301766843224456743694420635592088400984514953601653<89> (Ignacio Santos / GNFS, Msieve for P58 x P89 / February 23, 2022 2022 年 2 月 23 日)
209×10172-29 = 23(2)172<174> = 2 × 1171 × 99155517601290445013758421102571401461239206755859189676439889932631179428788310086345953126482588480880538950564569693519309232374988139292152955688395483442451845526141<170>
209×10173-29 = 23(2)173<175> = 2 × 32 × 7 × 419803 × 5869745666962372492181564917915807<34> × 23692096615620898926381730380891962706714198478785563<53> × 315692972834886763920970716959399402735954115107101875088922383709922482323799039<81> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1869236919 for P34 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / cado-nfs-3.0.0 for P53 x P81 / February 26, 2022 2022 年 2 月 26 日)
209×10174-29 = 23(2)174<176> = 2 × 1278733 × 860379313028580119<18> × 356764411981910203331544490913323737028852609<45> × 29581651899512583752037922457786928006195640071095457370425570290017649998937446421111857578694747291489877<107> (Eric Jeancolas / cado-nfs-3.0.0 for P45 x P107 / March 6, 2022 2022 年 3 月 6 日)
209×10175-29 = 23(2)175<177> = 2 × 389313318000883<15> × 298245926204989884158733313724959569955148495101934105911927994447882922648984822272152676557149787251077672737022599175721802961898541470127037110487417071466717<162>
209×10176-29 = 23(2)176<178> = 2 × 3 × 23 × 1811 × 56999 × 163019292340359591645052347023485853378134468725557925189481078000901773086242349928519126755354188933999280146647252018672807129358385846087067758928254646735850422271<168>
209×10177-29 = 23(2)177<179> = 2 × 79 × 93337 × 672861557 × 437850553574845933<18> × 1104683826813730193<19> × 2386656832402384799<19> × 2027277772542728294016605635346213190649644772834411811127450773162549905257715484464961315330845644513409871<109>
209×10178-29 = 23(2)178<180> = 2 × 40651283 × 112131373 × 1055455601<10> × 1978423593317215300826709709<28> × 9862882206091697182541192547582871321502909149<46> × 1236827937121347268965273110100323638127341199134439000843056315974572590868430569<82> (Eric Jeancolas / cado-nfs-3.0.0 for P46 x P82 / March 7, 2022 2022 年 3 月 7 日)
209×10179-29 = 23(2)179<181> = 2 × 3 × 7 × 17 × 733 × 13538854333<11> × 6885201411779<13> × 9403776460882898953<19> × 14637842590860563794735704169723511<35> × 345798938680301757021261406377557704202269834316214308023522192584403041493969458412664217220207951<99> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:539401617 for P35 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P99 / February 12, 2022 2022 年 2 月 12 日)
209×10180-29 = 23(2)180<182> = 2 × 149 × 739 × 141851 × 2075743 × 657919834447630956853<21> × 2918493549252617685480682803659204546061460276637387096031959<61> × 186511396260872898099115523570247549692778268299330371183874043111121877463967895191<84> (Eric Jeancolas / cado-nfs-3.0.0 for P61 x P84 / March 6, 2022 2022 年 3 月 6 日)
209×10181-29 = 23(2)181<183> = 2 × 11657663 × 908709961 × 161713466077<12> × 67778321592055958371740371226682649798089405594586550028744734852889368537565237260161725759773476631145561961420430859708099401250494760490472648562784101<155>
209×10182-29 = 23(2)182<184> = 2 × 32 × 83 × 277 × 379 × 9749 × 25701061 × 4008068358396799<16> × 584054856418108930879958292319<30> × 5328625359534102709936709033723014058489071<43> × 4737171750143664886113137298019705436573123012893188006416359417848588950549<76> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1421664321 for P30 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / cado-nfs-3.0.0 for P43 x P76 / February 17, 2022 2022 年 2 月 17 日)
209×10183-29 = 23(2)183<185> = 2 × 619888439 × 1348052521<10> × 4212715358353812296405654031230864040133<40> × 176164372374506427534714486752699647051722791<45> × 18722905029847307487257984500587529262553457904310615713748199112711411673987752323<83> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:1326822141 for P40 / February 17, 2022 2022 年 2 月 17 日) (Eric Jeancolas / cado-nfs-3.0.0 for P45 x P83 / February 18, 2022 2022 年 2 月 18 日)
209×10184-29 = 23(2)184<186> = 2 × 1051885186133<13> × 48671327825735597939148229974487097177345746747<47> × 3547367747222906564123834635756117519246085395725191973102247<61> × 639331399399028932134432492457496598640530706033319975206863598663<66> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:3569997061 for P47 / February 17, 2022 2022 年 2 月 17 日) (Eric Jeancolas / cado-nfs-3.0.0 for P61 x P66 / February 18, 2022 2022 年 2 月 18 日)
209×10185-29 = 23(2)185<187> = 2 × 3 × 7 × 31722337 × 162471526883<12> × 1704522725137<13> × 8420208074071<13> × 696218811296813177258491<24> × 3785796624767182157145480964676590140136695939347<49> × 283585092682848501889830205582029037005745051580464197535630033877599<69> (Eric Jeancolas / cado-nfs-3.0.0 for P49 x P69 / February 17, 2022 2022 年 2 月 17 日)
209×10186-29 = 23(2)186<188> = 2 × 26687 × 170899 × 2545859919715281291876035966449839112502822465468291456890486089387571627870249246049815433491380178284171466008563543801304811809920597290197659615742515735999813396702340878147<178>
209×10187-29 = 23(2)187<189> = 2 × 601 × 309396165236454168980797751<27> × 106339400513854049797939540726201506661<39> × 9719139289164262432181822012198502223764186863417100377<55> × 604174468247343422814764559522360343808763047328026175918682549613<66> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:3414860864 for P39 / February 17, 2022 2022 年 2 月 17 日) (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P66 / February 17, 2022 2022 年 2 月 17 日)
209×10188-29 = 23(2)188<190> = 2 × 3 × 7331561 × 2993559193712134535433455122541<31> × 17634706005298286791160605984284161088738542328970983856290852617185239122171918967868754165300956156859314471459781287506680579572321417565577467576537<152> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2935080920 for P31 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P152 / February 12, 2022 2022 年 2 月 12 日)
209×10189-29 = 23(2)189<191> = 2 × 299664919 × 5920027361<10> × 842312876253219808457786327<27> × 61804152433425605360579543909<29> × 125725412205743394356866874140824601914462884804413711817693450804500801996247076018431352772560227986889509213471403<117>
209×10190-29 = 23(2)190<192> = 2 × 59 × 79 × 9463 × 23816519611<11> × 18929000010649646046650509391970902864429<41> × 13169882492652040193630695905060574721595546834746688673<56> × 443381909725666732547573881972818340441809648928412276152505607616481116027571<78> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:1615876174 for P41 / February 17, 2022 2022 年 2 月 17 日) (Eric Jeancolas / cado-nfs-3.0.0 for P56 x P78 / March 9, 2022 2022 年 3 月 9 日)
209×10191-29 = 23(2)191<193> = 2 × 33 × 7 × 43 × 281 × 1861 × 60416567681<11> × 4522043952861087204723898725935174429372189423994792060036432001002697763280917447856397999653470263694157522463227119061673294763507698368881470214842336407640842169421933<172>
209×10192-29 = 23(2)192<194> = 2 × 421 × 461 × 4091 × 95911 × 1419114741157515431053<22> × 8571417597960051904787020651597938458446544528582710039969<58> × 12534952583175393676245442228072699172648700061158376319658894478898641911563353027241140027356020383<101> (Eric Jeancolas / cado-nfs-3.0.0 for P58 x P101 / March 10, 2022 2022 年 3 月 10 日)
209×10193-29 = 23(2)193<195> = 2 × 71335532431798701389691290000345484139439034733<47> × 17421278543120145344375231574926721400696706439357922463179<59> × 93430322803051703592521184505086177873836111407575519911750701617222421091150578600684073<89> (Bob Backstrom / Msieve 1.54 snfs for P47 x P59 x P89 / February 19, 2022 2022 年 2 月 19 日)
209×10194-29 = 23(2)194<196> = 2 × 3 × 4907244314827<13> × 189854143781198680913351<24> × 128398670052363536780996141576038125034886509<45> × 3235446626160791705024181953204851581229912013483651940813787163178272896454821612442934469399779689852980748440709<115> (Bob Backstrom / Msieve 1.54 snfs for P45 x P115 / March 8, 2022 2022 年 3 月 8 日)
209×10195-29 = 23(2)195<197> = 2 × 17 × 199 × 211 × 1801 × 2237 × 120676513 × 33456990917629739336716936497911520945766324168903764852622830514649111808022915301798527885712208323021997251170102689547517795405974313687567609238325531940580986715370682287<176>
209×10196-29 = 23(2)196<198> = 2 × 915727 × 12923849 × 9276041507<10> × 36098834278782891527019041<26> × 555530883877624800720581929042750471<36> × 52741419888933083580254951419531754111119907357974337955071091195602772060561090409244699331099884097655461617341<113> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3550386120 for P36 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P113 / February 12, 2022 2022 年 2 月 12 日)
209×10197-29 = 23(2)197<199> = 2 × 3 × 7 × 29 × 67601 × 37129333639<11> × 150113885003<12> × 1063730313162731<16> × 163673133476065375712774766719580845058997<42> × 8464109668354699198541694436524118106325446069<46> × 3433801088107993752553598626072349387892662572955889922058745089089<67> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2851029430 for P42 / February 22, 2022 2022 年 2 月 22 日) (Taiyo Kodama / cado-nfs 3.0.0 for P46 x P67 / February 23, 2022 2022 年 2 月 23 日)
209×10198-29 = 23(2)198<200> = 2 × 23 × 151 × 179 × 24317 × 30148879480025488841<20> × 88181716022315042895811<23> × 32055677642440466029063578220090312148108112646566013043129<59> × 9012624729700992486643367362366715808684941862572864862914119235395063166737278946301531<88> (Eric Jeancolas / cado-nfs-3.0.0 for P59 x P88 / March 12, 2022 2022 年 3 月 12 日)
209×10199-29 = 23(2)199<201> = 2 × 109 × 222207003106360588669<21> × 197535278493437785457210611<27> × 97390379519614680066143708204253463650246730211322931719807647749259923<71> × 249188969277492312998844243523791453899798689875419655570536494388488609115026247<81> (Eric Jeancolas / cado-nfs-3.0.0 for P71 x P81 / April 20, 2022 2022 年 4 月 20 日)
209×10200-29 = 23(2)200<202> = 2 × 32 × 131 × 241 × 2636119 × 393336702954555857756879079973<30> × 24519726806709289021642097318316007380447740344134027292758090675972576777819857<80> × 160730324622181736997279844260004602138034512710837370253237759752672739913138311<81> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2243752587 for P30 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / cado-nfs-3.0.0 for P80 x P81 / March 8, 2022 2022 年 3 月 8 日)
209×10201-29 = 23(2)201<203> = 2 × 223 × 52067762830094668659691081215744892874937717987045341305430991529646238166417538614848031888390632785251619332336821126058794220229197807673143996013951170901843547583457897359242650722471350274040857<200>
209×10202-29 = 23(2)202<204> = 2 × 67 × 7324349 × 20322199 × 12193682791<11> × 20711964229598503<17> × [46100227458636926309276526532748856609824228618536165919086654209050897811706394304909856686518627054711571639990406187138874439642477352291171094298924795368871<161>] Free to factor
209×10203-29 = 23(2)203<205> = 2 × 3 × 72 × 79 × 14887 × 29663830635012608619488607414361495531<38> × 226409650195386870217529783485739896752671661108039092232554555696196559337081622693240806906222705569915597449586240923643395278773617890447906015306531653951<159> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:1616398267 for P38 x P159 / February 17, 2022 2022 年 2 月 17 日)
209×10204-29 = 23(2)204<206> = 2 × 47 × 6126509234722076441<19> × [40323927997619379204605371342079279224797755587977179473555641648041144979608616197419930948348997795851070939062466209759185660498414562571785628973276504025269809709463262684311712593<185>] Free to factor
209×10205-29 = 23(2)205<207> = 2 × 5499441370183147374419829735997<31> × 21113255564581875665855690478103876920248412146164203882093820867904344310792588418274257990860610963258275934762928375461713416535307775574919908108319742270839245777124218963<176> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1919887554 for P31 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P176 / February 12, 2022 2022 年 2 月 12 日)
209×10206-29 = 23(2)206<208> = 2 × 3 × 13873 × 40314332951533<14> × 26490373892454446620884797630483<32> × 26123693135830516331981549645486635405498502220390399506735264681983369572336282785374445040400705663206375315995418882438873054687977782943534879957498178571<158> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3767743264 for P32 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P158 / February 12, 2022 2022 年 2 月 12 日)
209×10207-29 = 23(2)207<209> = 2 × 1301 × 44872067 × 70045962754697<14> × [2839470101607828895780158851099296742637145350860595320869570082871269356829269449445135128596889679884691590091487117657505740680938980593057513449552029233274444281925397504991157489<184>] Free to factor
209×10208-29 = 23(2)208<210> = 2 × 1423 × 2399 × 7349 × [4628181537875119577168795084763932171897845413868470040967078363631863435822082967657238889666729201543957089821479482555643799525114043993746514007079371453691496509145731597809072444125698720873307<199>] Free to factor
209×10209-29 = 23(2)209<211> = 2 × 32 × 7 × 773 × 6165962123<10> × 210533746242546511260859<24> × 175851753081614185581268801<27> × [104444232893375116905517683997566210873470372677475912288698312569067527783775015612289963744113286152927661378173373245395956984722382327221801277<147>] Free to factor
209×10210-29 = 23(2)210<212> = 2 × 136361 × 531486607 × 160210611624134704237877369533513846183248778661117280631413622897054599509967148698688944650610803163504110369842805639429291562775988589573674777263333759668792350082091244042427679673611653752993<198>
209×10211-29 = 23(2)211<213> = 2 × 17 × 106231231 × 21321566300820559<17> × 21020073921201944433290714112277<32> × [143456192976019570060375265900884518682001644459508609013260642821644940136844345449155998588552041590361470226483565177408054486212989442304252875097676651<156>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2179567209 for P32 / February 12, 2022 2022 年 2 月 12 日) Free to factor
209×10212-29 = 23(2)212<214> = 2 × 3 × 43 × 181 × 20011 × 88009219 × 1443605263<10> × 777538215019833437885616884347942857056279<42> × 25155811795013257003858236912995493104530654610853112712543063572038559794016946717188607614607647118321088033612709906348932153142175458098590723<146> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:1764930579 for P42 x P146 / March 15, 2022 2022 年 3 月 15 日)
209×10213-29 = 23(2)213<215> = 2 × 171225407 × 4441734757<10> × [15266973550449292080780309797363145670201832717873181261216786521428815895696714200234976872686833081370391938254155716860206592606673149868043338339085042311238247240454800966079636056774933286789<197>] Free to factor
209×10214-29 = 23(2)214<216> = 2 × [116111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<216>] Free to factor
209×10215-29 = 23(2)215<217> = 2 × 3 × 7 × 1879 × 6588910630721471994488063219<28> × [4465952392916035646251969672885678319848275872937316760863300550347920904572621158544361760674398587427624993744593641715127616130012993914344883261674579622424952082544881376708801791<184>] Free to factor
209×10216-29 = 23(2)216<218> = 2 × 79 × 9419237129059<13> × [15603820988924173433520836912055106916592812405236463260261557225959326310088168789300135274907240422674673973160394238394125766360610772217255051356514383025566331022088050468348943876782647293719788451<203>] Free to factor
209×10217-29 = 23(2)217<219> = 2 × 19583 × 202061 × 4146146948854642463<19> × [7077296143923597888631368860365820301013542592897638289640872920534440104077087389823761864078578352104481832435206307885235751406841788363981946707929860314164286107864200052973332053527619<190>] Free to factor
209×10218-29 = 23(2)218<220> = 2 × 34 × 73291 × 108960791 × 29513724286449901<17> × 31056518572415212877951<23> × 1054680365334791621852137<25> × 1856821776546325123974871211369696630362351970344462247624478732247111108698721004946344459015489520741134096150563397263546544643441474284873<142>
209×10219-29 = 23(2)219<221> = 2 × 281 × 1049 × 30250271 × [1302155061030248510152724318250852050425088892107740261063099277369480123867767556175443552889976087053148094511639495896030623170462438828124875679776057037283035342767598076092846933308257563387477088432489<208>] Free to factor
209×10220-29 = 23(2)220<222> = 2 × 23 × 61 × 821 × 3259188515653913<16> × 226865223907227594211329925357<30> × [136331289765282337118234823804683700723280005390160410902544730674904172860211702160446172293681363289104335801968646939010872411172357854830337475410151638756194554021917<171>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1446674647 for P30 / February 12, 2022 2022 年 2 月 12 日) Free to factor
209×10221-29 = 23(2)221<223> = 2 × 3 × 7 × 436419762490603<15> × 333738890650191468451<21> × 26659748324487097383404383<26> × [14239253258027030581033469332184333711536751560411226121702263595980281439647839418659958001484079704182322673248925564941118138229306009900971788946039191642709<161>] Free to factor
209×10222-29 = 23(2)222<224> = 2 × 193 × 19455109 × 41200907930368061<17> × 2752605198770202982591219837<28> × 27266669327853059389597924060900597864828320044231422822067016722066752966315514032126790758960762819432087049127328854220201671232999696221523670706975879141611550176579<170>
209×10223-29 = 23(2)223<225> = 2 × 83 × 196523 × [7118398607447775425845254147640532532236247102326421409156689720128476400236859434467685232533321377148418699519527167218424301120222729447291224878924384221566089790962332629333928853792527126939868352949221683492279<217>] Free to factor
209×10224-29 = 23(2)224<226> = 2 × 3 × 509 × 65027 × 747427 × 106573812379508954170795731677203<33> × [146798541789662380659924431389600361059345474027826887347714195559602389397367110697911197857926275949020140603660460027881751302384460405850191918474891763423650612447281414925939<180>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:969701332 for P33 / February 12, 2022 2022 年 2 月 12 日) Free to factor
209×10225-29 = 23(2)225<227> = 2 × 29 × 211 × 439 × 2003 × 122653 × 46395875394721<14> × 85830320873273<14> × 55221354401976827269<20> × [80009677395502478681120993579241545581280967772326581191836517862729384080872399802540183632503445457309254263775296761971985619110997152408985385115825424741154197<164>] Free to factor
209×10226-29 = 23(2)226<228> = 2 × 823 × 1695825741552884584349819312059005557<37> × 34957454623145051540063757193086269502671<41> × 2379868276464710216601515192329332140909082105716168621649761479355134413259987453386049221245473291868829394136651797980740645393517495002659384931<148> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2600965578 for P37 / February 12, 2022 2022 年 2 月 12 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=3866983948 for P41 x P148 / April 8, 2022 2022 年 4 月 8 日)
209×10227-29 = 23(2)227<229> = 2 × 32 × 7 × 17 × 1789 × 34525037 × 151431466094506551064355001310561<33> × [115910743052422793557034429927824552364095644457949690667030639380898442771612033573921452762792179344406245025065126996296493233021382587649931626433662859210431147703691037984827217<183>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1360142018 for P33 / February 12, 2022 2022 年 2 月 12 日) Free to factor
209×10228-29 = 23(2)228<230> = 2 × 881 × 118855448471027<15> × [110886525994887815401796984683325563068707243200311678568734402302735380202820085609974592092687035444048292416352791516736362074513937000640905954005069703422754406801915595040021826796603883344211784461118270253<213>] Free to factor
209×10229-29 = 23(2)229<231> = 2 × 79 × 11587043524334869823454914453867709394279<41> × [126845204046561614089682207402764138966603042145850421007392706363890148664192353725804283305383849216090212842965404477133839286963868518428915385113411575534588788175205685093628412512271<189>] (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:2495648126 for P41 / April 30, 2022 2022 年 4 月 30 日) Free to factor
209×10230-29 = 23(2)230<232> = 2 × 3 × 241 × 347 × 697373 × 13249155964347267936773<23> × 500901886728845589637493547380061652264740420815108091266593491228417093631153795023197700576563203673448914821268017218519296322771239553009104925218513099006272629024941266009871467956234202766039<198>
209×10231-29 = 23(2)231<233> = 2 × 197 × 62633 × 251053457 × 359309976873796121<18> × 19121580795024142265670235915758809<35> × 545563196913259252186919038305592678621641248030628136793347258705860895855021049421584827219853633791260724747837343166899125655707326535088767753201315011994145507<165> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1964468801 for P35 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P165 / February 12, 2022 2022 年 2 月 12 日)
209×10232-29 = 23(2)232<234> = 2 × 191 × 4951 × 78439 × 53513010847<11> × 1431186929509<13> × 10361106829163<14> × 4619996364516950003<19> × 426984299169301150808423555381401605068646700308667846963845284947660955182048613701080787856020985151269453233536916615989525601236368021630581145395018088900289462187<168>
209×10233-29 = 23(2)233<235> = 2 × 3 × 7 × 43 × 291032696489<12> × 102416947543949693<18> × 7227946884539305325253354489833040331<37> × 5968393754000624237966354315777459056901664380765628940215863878435671325614950512482516043161442333444756328245158598870884051642787622728336438731058720542921698951<166> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:856507262 for P37 x P166 / February 17, 2022 2022 年 2 月 17 日)
209×10234-29 = 23(2)234<236> = 2 × 16905449723556326441<20> × 185902558758798001509860908240661167841<39> × 273296799036921609308030848513756044071<39> × 2259734321089576590549520699935697995963274261660543<52> × 5982321626674595120794720766698915888738348310821021198038221487190306507574278600772327<88> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:2426983947 for P39 / April 24, 2022 2022 年 4 月 24 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:1942126220 for P39 / April 24, 2022 2022 年 4 月 24 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=26580000, sigma=1:455064302 for P52 x P88 / June 16, 2022 2022 年 6 月 16 日)
209×10235-29 = 23(2)235<237> = 2 × 67 × 868312904018400515749<21> × [1995826216971743254679601598193305446771359841466802919868907171738871210221441837842350643900404720382609873698155416177261252043269632162173572277868208639838009604783259669066446429176524630444118423970911031017<214>] Free to factor
209×10236-29 = 23(2)236<238> = 2 × 32 × 15659671 × 1192741222925898498533<22> × [6907206000975199147068326637981157150165634214985422623816702307196775632320896121618201177675119828181521129904207578631758927997646169860762514580596765370457323063969338005334246981573356560772623474279253<208>] Free to factor
209×10237-29 = 23(2)237<239> = 2 × 5697792823127<13> × 35311940217689<14> × 1432468339967593<16> × 864519692139184246268633<24> × 1712447764708661255260610636334691<34> × 911900121769427028537496065732953944636883<42> × 29841525306806699341942516054478922677936043359997624104415134401008454243799062757804751807913441<98> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:1230935265 for P34 / February 17, 2022 2022 年 2 月 17 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:1513998247 for P42 x P98 / February 20, 2022 2022 年 2 月 20 日)
209×10238-29 = 23(2)238<240> = 2 × 1871 × 4446047 × 337749237773<12> × 8341834200391<13> × [4954159821322850757917156207402579262113104927824392497152546774495256586787383299254149659533378648644963639059372623273281741647971320681018885923210391155320000412548763002550463795971121165426886973621<205>] Free to factor
209×10239-29 = 23(2)239<241> = 2 × 3 × 7 × 44044883 × 203016673 × 2236412098114787<16> × [2764874902310690901617260910529360810774637432445864775142268371126390924682576661620112279083553695983877210249503274002139894985037160763844677828145101818073882941466333041265393165538678506837002228698627<208>] Free to factor
209×10240-29 = 23(2)240<242> = 2 × 733 × 23104782934503443<17> × 200141308584127239786548759604217<33> × 3425556843779978504463722221470361903721344800481792594597161532083792563724417097228371672857212195744905303715648111835308706448934009462181810185084099274963799400123326423268927461095657<190> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1871473291 for P33 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P190 / February 12, 2022 2022 年 2 月 12 日)
209×10241-29 = 23(2)241<243> = 2 × 36206665205327<14> × 3206898797573546243536309725420202167743349480402914555881406754685898477302994751433723812548847065917117459107242674380484767337431251622273537462358173131314206833956095224882157659970403937020103396283097077913462546036029193<229>
209×10242-29 = 23(2)242<244> = 2 × 3 × 23 × 79 × 101999166819191<15> × 31645862923405747<17> × 43926966847449486070027<23> × [1502286677450463887800441261719455513903807245057108970507732756510737053005699406334045795213574676767131175090067631074594473096244021763872490329684287262059336714632267650143045413859<187>] Free to factor
209×10243-29 = 23(2)243<245> = 2 × 17 × [683006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183006535947712418300653594771241830065359477124183<243>] Free to factor
209×10244-29 = 23(2)244<246> = 2 × 7591571474824140339223<22> × 15294739896234835736817641897169673748564217088260421906790145261284538662620859288108666154036592384302609424758078777657163525584818747362775069777415063886956268055449089147431924739267784017861590084002568447426970939857<224>
209×10245-29 = 23(2)245<247> = 2 × 33 × 72 × 813153319463<12> × 1079298311416492521347934568520673836682043697272429476713920047048014912693498609272190103044236472791860889226374415894877461583568112537712256229865154868477706603447135451173324145609943779278509097870687511770398530604634386339<232>
209×10246-29 = 23(2)246<248> = 2 × 929 × 12498504963521109915081927999043176653510345652433919387633058246621217557708408085157277837579236933381174500657816050711637363951680421002272455447912929075469441454371486664274608300442530797751465135749312283219710560937686879559861260614759<245>
209×10247-29 = 23(2)247<249> = 2 × 281 × 551866990421<12> × 610735260521<12> × 15034869340039<14> × [81541818115204186522008190479838940757299118119411598043921543113733919192759437225894430049364663595238055519482165590370586270131097540710852902040777145120544311284650116361588373627070174714714361330726269<209>] Free to factor
209×10248-29 = 23(2)248<250> = 2 × 3 × 59 × 4073 × 4735213272732569912599<22> × 52019898210636686031117881<26> × 1814102681649281948399989178910706316129<40> × [3604252404872549139917950895923371833627781929762775116541315704756078189269542178062629271337758157167485348821014888456957447749906220204436884768218396641<157>] (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:2479122985 for P40 / February 17, 2022 2022 年 2 月 17 日) Free to factor
209×10249-29 = 23(2)249<251> = 2 × 2293 × 3594197 × [1408860032438664659769035952300898575314356065030982641588438711996333645099808128715203702466196553583603841844280052338234513484877908470484547386226311863874695671943849450529856335385432384425293079843033361101448215386089367271279282591<241>] Free to factor
209×10250-29 = 23(2)250<252> = 2 × 47 × 4871 × 11172151897<11> × 44199230405248180045004174333<29> × [1027084686896856164997524222913882562271138159579942903733626503288749594740053210582042464449792218271614697274544937591181223051674660465245375269085813516776485853346503546363956424287040911036697239074803<208>] Free to factor
209×10251-29 = 23(2)251<253> = 2 × 3 × 7 × 277 × 65657 × 3962208837907223<16> × [767284314019010247794435614710963513095289652503712355056152164321465249164710042589963233131983336634731412590689313450613253072031901093215901842970657251484465392574443462517973690404568658171108537100842088759362997005593953<228>] Free to factor
209×10252-29 = 23(2)252<254> = 2 × 2287487 × 58727720898601<14> × 4570718920958633<16> × 9533678682937937178869<22> × 18048198236436131094316009<26> × 32281750664402706830029472997814975631<38> × 3404364415960802334002635710925123844063210571512869545180166049404303280335518391049546640091205948623567004163121463250742712911891<133> (Taiyo Kodama / GMP-ECM 7.0.4 B1=3000000, sigma=1:1236399712 for P38 x P133 / February 17, 2022 2022 年 2 月 17 日)
209×10253-29 = 23(2)253<255> = 2 × 29 × 12253 × 73455258590149<14> × 4448467864968399772346870247606979763838520560701232124639188167431892119588571768941839937257410648170723754201796633298374506574877148005480266032841332869313879627170542649544134164819289562396232957217217860772407728826955192479747<235>
209×10254-29 = 23(2)254<256> = 2 × 32 × 432 × 744239 × 424755996469837<15> × 8903524798294490782823159<25> × [24790223637621467756927978955409348633621594674704039858103601950089413689086932671584410238635058692867526414843572564318461594631593796128845619406724277601852878572511563017786226096712041611810506758683<206>] Free to factor
209×10255-29 = 23(2)255<257> = 2 × 79 × 211 × 3589139234529101152216068004271<31> × [194076936409929836560810261325696170635669992859571474556446995026803763571802376442716997816539934590985382719680036078045238304905261768167850953442710735257968314945633056444142858205838132061405025596726944335118342589<222>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1222366616 for P31 / February 12, 2022 2022 年 2 月 12 日) Free to factor
209×10256-29 = 23(2)256<258> = 2 × 124805595689<12> × 14121446619325181004574912421<29> × [65881053425852541188077063664089099216179242403645019603586766956140209496618403448289026281076396890407585420219287898028285064274826908776822409739766147686417372433321369408491925886559031042072590957268756281081219<218>] Free to factor
209×10257-29 = 23(2)257<259> = 2 × 3 × 7 × 21433307073814076627093<23> × [2579676813316247886246877343184283055461072808793707548592864231941691021423823531576284748648491488964232680906567503177955873017681951042733809062555999214270630219007430452844611116333665397883176286238005275469924586682675689727487<235>] Free to factor
209×10258-29 = 23(2)258<260> = 2 × 167 × 43051 × 13059605161<11> × 123664207650328036118351905678560024967564097383885806781325510307004114415879228554723079618200785622928721671036854928574962006459343957537431513058924429342706762607196383625234617458874790204462387968004857125679162107524164574164309556203<243>
209×10259-29 = 23(2)259<261> = 2 × 17 × 21556943 × 51001693842228313<17> × 567096156742483621249<21> × [10954596420440243750369403174194810088955558679832057594202639128580049506297970533782108626827680621857472844563457605673853802632903916492015685020744129018438445330515291877025883693090841721075146519397676788513<215>] Free to factor
209×10260-29 = 23(2)260<262> = 2 × 3 × 241 × 997 × 11213 × 15203807 × 18413857699357<14> × 86147755049892460843813648253<29> × 135008193261391745035471548407<30> × 44118148964844420968351284532439183713858839509702765748781132276124117515285081125417778933429658302454027448655297534671207350297005701327977098730577856801094692663443853<173> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:266020650 for P30 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P173 / February 12, 2022 2022 年 2 月 12 日)
209×10261-29 = 23(2)261<263> = 2 × [11611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<263>] Free to factor
209×10262-29 = 23(2)262<264> = 2 × 887 × 4523 × 73477 × 49290193769953175280193<23> × [7991193223277249217720628168365346510640245130383264905825169035421550236726696305272531194977219608211710794683177082290032690550209639255830542832750231736657165721393641513516794311706688299777769954613023660673835613628700151<229>] Free to factor
209×10263-29 = 23(2)263<265> = 2 × 32 × 7 × 962509 × 24686398929715597087938581<26> × [775658738522253245497523207100831175855099278358445164890183142926899905543199255213203536867372210698670559239038759837558330706411423409421926485954512285940550817498954853789061919047312199610254983243186976854495208542070730793<231>] Free to factor
209×10264-29 = 23(2)264<266> = 2 × 23 × 83 × 291983 × 34754387 × 62155603 × 178806580129<12> × 264862407566300539<18> × [203618179378358839994451971078181930433099210735254634113280670184757486429762208605656232601645361895774521975141102134907585495154682270518788879257056827537310994963878655420133507017197469530182546135607590343<213>] Free to factor
209×10265-29 = 23(2)265<267> = 2 × 97 × 89285591 × 1081202939<10> × 1957415658563580363627904979<28> × [6334763319593250438361017047767585288678624751694699355270511215526889631431646249307404659580264340758690220328237154986344469833303934797028053470872375890685973902369429687883447012314798319819881894479572136202518353<220>] Free to factor
209×10266-29 = 23(2)266<268> = 2 × 3 × 19001 × 11566597580443<14> × 106467594447589141859<21> × [16540666321698495848810072713526533120396646333508091091375900324134694722912252793019991590489210009054503213446144160033671820579782602949214208659013027083170738499261953913186417727931061453076202164276457069444697391290446501<230>] Free to factor
209×10267-29 = 23(2)267<269> = 2 × 32421094679<11> × 8758006102658341<16> × 40892236425306466002362888531322480772812995861256868367198893953487113778021728855925169585028656536040726281785778481902871063418003453647062295491714195810171996735890926260057374066340009478654105235557123720461540379801314236188786860349<242>
209×10268-29 = 23(2)268<270> = 2 × 67 × 79 × 87337 × 68420877425736944757816271099<29> × [3671005015069088128656984610489324246697146439211979552365548508095744908040974557729514137303271331286591773221412136488549071816290298564875415720727399188783409052177687760154642070584049308135176756111047727453729157575776417329<232>] Free to factor
209×10269-29 = 23(2)269<271> = 2 × 3 × 7 × 112291 × 389580394438321826998717531217<30> × 1263899214320316874329475452294052789396750358252657359860218174038417100977680529930734241058052571227574777761908639190111306644913431921763736343481217539017463165963208613017144313226444959758400281341323000357574755426314429380553<235> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2662665816 for P30 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P235 / February 12, 2022 2022 年 2 月 12 日)
209×10270-29 = 23(2)270<272> = 2 × 1249 × 83611792540828309<17> × 3424516441707076519409<22> × 32467178794703661211982558333160023802979912750955883107591763095862864430494746338876806241303731197142425994289403961735206088043929993254496948324276485441371609701497860426723401578944950253775270405464893614944756106221287419<230>
209×10271-29 = 23(2)271<273> = 2 × 983 × 10543861 × 129026603 × 14051419183<11> × 570627450521<12> × 32846254105709201152424484890190869<35> × 329672430301082405392793421464409387023290630829636916761417604074334207107133013354010935468590011512196117653779323048538785981064099657513439237460513408634780987386610512319685822206977444867597<198> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3633355961 for P35 / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / ECM for P198 / February 12, 2022 2022 年 2 月 12 日)
209×10272-29 = 23(2)272<274> = 2 × 33 × 4402441 × [9768243396410638679694011093619225158573947625799137772205036984331521662566467533126307706642167052249145847270665348232366671051532977501371449688354383322975116078583500911755219359165038896402070200929111752044352895158669096859801112787631453576601330363895773<265>] Free to factor
209×10273-29 = 23(2)273<275> = 2 × 113 × 151 × 10691 × 23563 × 72176869847<11> × 2647045378598528473<19> × [14138718479158546817890032872540305840931522364279430680935609498965628701319217769014641354467221489188254653112882985718167813952260768027365144870117673714746485110374110651727473899995958029148823028503877882611471140264617247039<233>] Free to factor
209×10274-29 = 23(2)274<276> = 2 × 853 × 4409 × 88547 × 149343754775581<15> × 126815441634162917598229409<27> × 18409907004193541330019264379509004519126022362581524466628770712189315232238091008522823339090277636429533830287741785179404198730747894337192425464853604566117430097629247935586269195973718352637906055508249775873013199861<224>
209×10275-29 = 23(2)275<277> = 2 × 3 × 7 × 17 × 43 × 281 × 51001 × 699367 × 927907639 × 28628362641530791852455048011<29> × 700327033003239144108688693412053538329<39> × 405643770764611195900916270898611401586214523055305580486071488116066711565341736725017364393219511887943860097581678002391429874695382190523615278949197631323391490996826733298322523<183> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:538130987 for P39 x P183 / May 1, 2022 2022 年 5 月 1 日)
209×10276-29 = 23(2)276<278> = 2 × 138396389 × 871564088875075591<18> × 424780548909728109028594607<27> × 226613131786746300126702641135711404702311633477544549620019386222747856969670620536623488400147978211079053576786661986188426797106422870478118830979984218558542962357135961703374110934071092802133696623595390334872090457827<225>
209×10277-29 = 23(2)277<279> = 2 × 631 × 727759 × 38690880878187283143226847<26> × 20870640882661902626530459203373031<35> × 39765479745054485011740312290872433<35> × [7874195763347808514919143757372336846130012408876747687568850757181314007767943910445446757202168347269062896501113516126298324599405379510923217435119135433292654331027108839<175>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:339025751 for P35(2087...) / February 12, 2022 2022 年 2 月 12 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:525931350 for P35(3976...) / February 12, 2022 2022 年 2 月 12 日) Free to factor
209×10278-29 = 23(2)278<280> = 2 × 3 × 4421617 × 4550265389569<13> × 19236881856967793748390463962290911152547267583990930290573955751360922956284193513251021670668284724006062306050248276007677044967719535490498308461442120800759989909480846098752691936376100312330425075350591632896650485310142513080092643279870926595960795069<260>
209×10279-29 = 23(2)279<281> = 2 × 1153 × 74609 × [134974974664519151530053128100384047976548629010552592803196607287636254992722698307373648121168437462774111876840287714825927496070216528908043039006477343120773025368334661441877102888309075146526669021327703153860002765398279963911902477266491152959372236843499370079543<273>] Free to factor
209×10280-29 = 23(2)280<282> = 2 × 61 × 331 × 2461322824553<13> × [2336400944688290849846094428620051956905956199078997966343612575353311602529562102139479493623090558423136282217962961297694081452175830873852624380182824152588446575932153484255312081571213527501660464593360485158962216633753012721165237198275811157207079856446257<265>] Free to factor
209×10281-29 = 23(2)281<283> = 2 × 32 × 7 × 29 × 79 × 21101 × 19880224907<11> × 218952244744027<15> × 30273538445697737<17> × 195940052334110333987461<24> × [14765494783185384357627619075605107091064917888283367295609474516439610978946002882382868946545063771877591781152185636642943934495898587749510785310936576649747090474681250696247864442433896040139156857376179<209>] Free to factor
209×10282-29 = 23(2)282<284> = 2 × 8713 × 53987796503623<14> × 190983948257533<15> × 8566773662582200121423<22> × 286630840115687744945719426345048975631501<42> × 52634849798551980266767337783535903440124700634164559830231086979368195381349110421639910230480664122898392147420652548155873338763395963381158871481803766513384388549078656483495225979471<188> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:1210283479 for P42 x P188 / May 1, 2022 2022 年 5 月 1 日)
209×10283-29 = 23(2)283<285> = 2 × 8443 × 27253 × 62566832925941611<17> × 4729500106935543827<19> × 3521458188181814954104041173<28> × [484262375122593478907754342095329476466854106061470452995177532301161203224954247261882933376222598521687667624849915286030470569962280758270559650446521502057559099574607804941887765721695834910253497073244033789<213>] Free to factor
209×10284-29 = 23(2)284<286> = 2 × 3 × 982264177 × 185844526649<12> × 2120188358118442653115778909369528323545117822367554001525111625893655905585269231159345868528910902976997855850041002645658640966768189574420464226108685077244179399969586430971169270267022384584526080925702668379664666312085261155845140215774633573209220321605669<265>
209×10285-29 = 23(2)285<287> = 2 × 211 × 2819 × 2826793 × [6905613101785702838265640378095549791188801691631903023876937323183268244460848954673598854027825237990476823222406886931531084265368372873461101732562434969987656753829988308681348666113853893868238982211096633157789018451189507120576421816558195702128106958182038087070503<274>] Free to factor
209×10286-29 = 23(2)286<288> = 2 × 23 × 5048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657<286>
209×10287-29 = 23(2)287<289> = 2 × 3 × 72 × 14321 × 505692428616169001<18> × 13857368147910569406252759477776310673<38> × 78707459619927927198733816508045871670693891150221846022826328042510661373292224234790545922017606355235849035547085702145152889768901858230441594728307177958590409950083898448652341794989796772845316631227873872478203704270261<227> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:981078278 for P38 x P227 / April 10, 2022 2022 年 4 月 10 日)
209×10288-29 = 23(2)288<290> = 2 × 775963 × 14963485515560807810567141875464566108321029625267069578202969872418029095602639702036193879232787015761203963476494512123788261954643599129225376868627899927072696908372062986393824333262167282603824036856281950442367884952131881431345452181497199107574860026974367477716219859852997<284>
209×10289-29 = 23(2)289<291> = 2 × 5023 × 139597 × 141605512721507<15> × 5282480907082227075227907877<28> × 46482852366146408868223814843<29> × 420645826004224932931583066137<30> × [11321580705849743886733574184750234129722740183005846916453068375430052297292587615143413164702033738613712923564394189741073941299520067153045523686199493014187287212401295538994769<182>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1783599646 for P30 / February 12, 2022 2022 年 2 月 12 日) Free to factor
209×10290-29 = 23(2)290<292> = 2 × 32 × 241 × 1878603869244611<16> × 124407400809341215944757<24> × [2290513204945944189094024198977940026626944488715656537766209371039898851041343640200737646086434217327166818354073250805984505471915743089523745906951924598868611035547089494561535568527108449541008159340876159856870632183062835534905404431985624097<250>] Free to factor
209×10291-29 = 23(2)291<293> = 2 × 17 × 2803 × 55103 × 171763 × 637199 × 8785690145843506404428102623689604637<37> × [4598814933691860625897196875024415355543167974389777240496153925498361679730181882015710738480111650070940643788287453013147819415390200101250341958036456431061261363440755721602486576210198150418305164574244982329333834127024593195323<235>] (Dmitry Domanov / for P37 / March 30, 2022 2022 年 3 月 30 日) Free to factor
209×10292-29 = 23(2)292<294> = 2 × 8311 × 90023079691<11> × 392111994455440369149630105464393<33> × [395782425165979352035151050128859705466277280099512152729549692263504769342517566990116242292445789265948070508784312261447535556416509819901602540872436558937065088080567797607752297050024384811070326215363959137283019569358379039384144540931227<246>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:3448606725 for P33 / March 17, 2022 2022 年 3 月 17 日) Free to factor
209×10293-29 = 23(2)293<295> = 2 × 3 × 7 × 283 × 36029405251035102931611721<26> × [5422642301163317237626465070884656934555400151771316423814117818665808894612693593412454794663655651144766513857703676899915725464298769934893290058746655513257980169181357694569507878145950699484789006553230950325567585434469519232791655571390632886732626741752937<265>] Free to factor
209×10294-29 = 23(2)294<296> = 2 × 79 × 199 × 3082031 × 7228093 × 783701654176460230727539<24> × 42304066429310422678153495209790827035289877703394236277301501572226439792848266821000602867884208262588958474716844984646262350888177076598149982315460209215890287647843027572518768715063862908994856580313185973506608963285019361793617335884903003961943<254>
209×10295-29 = 23(2)295<297> = 2 × 4994471087026871<16> × [23247929377889382103614497413268314301309554910537941824931831080261365797381661356841421332426951594541779854098528480409567250802272114447581996208238363016676231698543819018235822285033901995334539240790378552284896398486782081953690723164843798742156697441526428140509897091441<281>] Free to factor
209×10296-29 = 23(2)296<298> = 2 × 3 × 43 × 47 × 342504407257<12> × 559139338761719480817633109302808238121160707855230247339808302794183406154809566023572307303573433142417278843641467740697288850581546346416158186563818096838626054484808036365937692823048353102618145264883144113407719376882319300992379639021805695556620277527352845253684077199121<282>
209×10297-29 = 23(2)297<299> = 2 × 199799 × 3872726890490105314867<22> × 100765146878285688129431<24> × 148920078823958765427922674547233731879619505019066655546106605330855444873499372271464183567881762890270391624268268089957703845411881894250024058327082613014925981132276211800465385390307240163325909692565946311938114684666396125419536223477072557<249>
209×10298-29 = 23(2)298<300> = 2 × 2137 × 1572587 × 21668340331208802190434435603381812386771<41> × 1594516176255095019022996868033704000401950082688975305870106277924741438017833897830079790365920817878602286082243811557528617492925975326363215037019416601976504106290092622707959774076863791107596959249444615698367856557690520152008931279151045839<250> (Dmitry Domanov / for P41 x P250 / March 30, 2022 2022 年 3 月 30 日)
209×10299-29 = 23(2)299<301> = 2 × 35 × 7 × 12260701493<11> × [55674220923034253799165385695898279268916128852904276443058647792947029750710924958044712221705487566059017212252977682900650929610373504376667918792850696830974331043659335204449407618787479298721662075261176514030169787493018790639371871013882384586994535230633898558705171915242639727<287>] Free to factor
209×10300-29 = 23(2)300<302> = 2 × 311 × 15982108123<11> × 102516468493<12> × 78308473320723313<17> × 24788702570292895476971847052158743885710758493<47> × [11738784681850686019292031271060610952657592135584759615187152763594187397735765144978232550599519984787910468654140881584512628753282116157997105909429582582906938743403369616878529491148502230845075885355013967851<215>] (Dmitry Domanov / GMP-ECM B1=43000000, sigma=1:945462082 for P47 / February 18, 2022 2022 年 2 月 18 日) Free to factor
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