## 1. About 322...224 322...224 について

### 1.1. Classification 分類

Quasi-repdigit of the form ABB...BBC ABB...BBC の形のクワージレプディジット (Quasi-repdigit)

### 1.2. Sequence 数列

32w4 = { 34, 324, 3224, 32224, 322224, 3222224, 32222224, 322222224, 3222222224, 32222222224, … }

29×10n+169 (1≤n)

## 2. Prime numbers of the form 322...224 322...224 の形の素数

### 2.1. Last updated 最終更新日

July 27, 2022 2022 年 7 月 27 日

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

No prime number of the form 322...224 exists. 322...224 の形の素数は存在しません。

## 3. Factor table of 322...224 322...224 の素因数分解表

### 3.1. Last updated 最終更新日

June 3, 2024 2024 年 6 月 3 日

### 3.2. Range of factorization 分解範囲

• n≤100 / Completed 終了 / June 24, 2022 2022 年 6 月 24 日
• n≤150 / Completed 終了 / August 4, 2022 2022 年 8 月 4 日
• n≤200 / Completed 終了 / February 22, 2023 2023 年 2 月 22 日
• n≤300 / Remaining 55 残り 55

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

n=208, 209, 214, 215, 221, 225, 227, 228, 229, 230, 232, 233, 234, 239, 240, 241, 242, 243, 244, 245, 247, 250, 252, 254, 256, 257, 259, 261, 262, 263, 264, 267, 270, 274, 276, 277, 278, 279, 280, 283, 284, 285, 286, 287, 289, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300 (55/300)

### 3.4. Factor table 素因数分解表

29×101+169 = 34 = 2 × 17
29×102+169 = 324 = 22 × 34
29×103+169 = 3224 = 23 × 13 × 31
29×104+169 = 32224 = 25 × 19 × 53
29×105+169 = 322224 = 24 × 3 × 72 × 137
29×106+169 = 3222224 = 24 × 201389
29×107+169 = 32222224 = 24 × 2013889
29×108+169 = 322222224 = 24 × 3 × 47 × 233 × 613
29×109+169 = 3222222224<10> = 24 × 13 × 59 × 262567
29×1010+169 = 32222222224<11> = 24 × 277 × 379 × 19183
29×1011+169 = 322222222224<12> = 24 × 32 × 7 × 319664903
29×1012+169 = 3222222222224<13> = 24 × 201388888889<12>
29×1013+169 = 32222222222224<14> = 24 × 43 × 61 × 137 × 5604239
29×1014+169 = 322222222222224<15> = 24 × 3 × 331 × 503 × 40319791
29×1015+169 = 3222222222222224<16> = 24 × 13 × 23 × 11621 × 57958991
29×1016+169 = 32222222222222224<17> = 24 × 10018139 × 201024251
29×1017+169 = 322222222222222224<18> = 24 × 3 × 7 × 17 × 53 × 1064367046609<13>
29×1018+169 = 3222222222222222224<19> = 24 × 31 × 859 × 445001 × 16994941
29×1019+169 = 32222222222222222224<20> = 24 × 103 × 269 × 72685201894427<14>
29×1020+169 = 322222222222222222224<21> = 24 × 32 × 211 × 4463 × 4673 × 508496389
29×1021+169 = 3222222222222222222224<22> = 24 × 13 × 137 × 1061 × 72341 × 1473233869<10>
29×1022+169 = 32222222222222222222224<23> = 24 × 19 × 4877617777<10> × 21730721203<11>
29×1023+169 = 322222222222222222222224<24> = 24 × 3 × 7 × 383 × 274121 × 9134297023763<13>
29×1024+169 = 3222222222222222222222224<25> = 24 × 103967049631<12> × 1937045338919<13>
29×1025+169 = 32222222222222222222222224<26> = 24 × 220573 × 7018079 × 1300962874067<13>
29×1026+169 = 322222222222222222222222224<27> = 24 × 3 × 28979 × 231649227473790088097<21>
29×1027+169 = 3222222222222222222222222224<28> = 24 × 13 × 10588594883<11> × 1463031985133791<16>
29×1028+169 = 32222222222222222222222222224<29> = 24 × 259771 × 525649 × 14748538867899691<17>
29×1029+169 = 322222222222222222222222222224<30> = 24 × 33 × 7 × 137 × 163 × 67288339331<11> × 70912977341<11>
29×1030+169 = 3222222222222222222222222222224<31> = 24 × 53 × 3407 × 28786171 × 38743923784131329<17>
29×1031+169 = 32222222222222222222222222222224<32> = 24 × 2013888888888888888888888888889<31>
29×1032+169 = 322222222222222222222222222222224<33> = 24 × 3 × 2999 × 2238400454472478480481148037<28>
29×1033+169 = 3222222222222222222222222222222224<34> = 24 × 13 × 172 × 31 × 232145631547<12> × 7448556240437561<16>
29×1034+169 = 32222222222222222222222222222222224<35> = 24 × 43 × 7103 × 10009 × 338867 × 1944040321639808047<19>
29×1035+169 = 322222222222222222222222222222222224<36> = 24 × 3 × 7 × 17863 × 53686094664653697290992258243<29>
29×1036+169 = 3222222222222222222222222222222222224<37> = 24 × 2595377 × 77595235254411551342594501257<29>
29×1037+169 = 32222222222222222222222222222222222224<38> = 24 × 23 × 137 × 1277 × 18583 × 7038408497<10> × 3826536934151557<16>
29×1038+169 = 322222222222222222222222222222222222224<39> = 24 × 32 × 1913 × 1169709524823656205430033623098617<34>
29×1039+169 = 3222222222222222222222222222222222222224<40> = 24 × 13 × 929 × 12437 × 1340790132662850385143833466761<31>
29×1040+169 = 32222222222222222222222222222222222222224<41> = 24 × 19 × 385412752589<12> × 275014646855275817996900879<27>
29×1041+169 = 322222222222222222222222222222222222222224<42> = 24 × 3 × 7 × 139 × 419171 × 90217217 × 182440290944097079781333<24>
29×1042+169 = 3222222222222222222222222222222222222222224<43> = 24 × 238151 × 845635285549457650351620983698951039<36>
29×1043+169 = 32222222222222222222222222222222222222222224<44> = 24 × 53 × 70416786491134157<17> × 539614280306946913576009<24>
29×1044+169 = 322222222222222222222222222222222222222222224<45> = 24 × 3 × 859 × 589671647293571<15> × 13252897552630167878720867<26>
29×1045+169 = 3222222222222222222222222222222222222222222224<46> = 24 × 13 × 137 × 419 × 6045536564782612039<19> × 44639848411465307009<20>
29×1046+169 = 32222222222222222222222222222222222222222222224<47> = 24 × 907 × 1487 × 164241163 × 9091493626059690441996434454767<31>
29×1047+169 = 322222222222222222222222222222222222222222222224<48> = 24 × 32 × 72 × 191 × 193 × 215329 × 6728723358605891<16> × 855009702912762997<18>
29×1048+169 = 3222222222222222222222222222222222222222222222224<49> = 24 × 31 × 1741 × 99971 × 54160082345769353<17> × 689162580545114207993<21>
29×1049+169 = 32222222222222222222222222222222222222222222222224<50> = 24 × 17 × 479 × 2439839219<10> × 101365429048538297811935905295665517<36>
29×1050+169 = 322222222222222222222222222222222222222222222222224<51> = 24 × 3 × 211 × 947 × 33595554747408693769614011635461261869425339<44>
29×1051+169 = 3(2)504<52> = 24 × 132 × 3571793 × 34810069447<11> × 4887075845453<13> × 1961139786576343187<19>
29×1052+169 = 3(2)514<53> = 24 × 23879 × 35363 × 632627 × 1225999598872099<16> × 3074908647475278809309<22>
29×1053+169 = 3(2)524<54> = 24 × 3 × 7 × 103 × 137 × 197 × 74357 × 1744777 × 2659073891990551778449815970202843<34>
29×1054+169 = 3(2)534<55> = 24 × 47 × 743 × 3804763 × 3643139430761<13> × 416049909205456221186231570763<30>
29×1055+169 = 3(2)544<56> = 24 × 43 × 144638219249<12> × 323805323144706936398600203049178494494427<42>
29×1056+169 = 3(2)554<57> = 24 × 33 × 53 × 22769 × 47701 × 41486531994990528751<20> × 312332587539357499289101<24>
29×1057+169 = 3(2)564<58> = 24 × 13 × 97 × 234874163 × 105849614376559519<18> × 6423857428328117334758096017<28>
29×1058+169 = 3(2)574<59> = 24 × 19 × 2350040722533359737680241<25> × 45103112907984511624062504691891<32>
29×1059+169 = 3(2)584<60> = 24 × 3 × 7 × 23 × 613 × 2377411 × 1156688517077<13> × 24734731965088518403144903363017353<35>
29×1060+169 = 3(2)594<61> = 24 × 130978015008787<15> × 1537577805522386277664718622182883183530975747<46>
29×1061+169 = 3(2)604<62> = 24 × 137 × 17981993 × 4095753017<10> × 35872603767321953<17> × 5563914581867381616458929<25>
29×1062+169 = 3(2)614<63> = 24 × 3 × 1193 × 17496932861<11> × 6905750602425977<16> × 46569437483295055126899796889903<32>
29×1063+169 = 3(2)624<64> = 24 × 13 × 31 × 167 × 302111 × 2105141839<10> × 1386490856987319409<19> × 3393509562099764138218949<25>
29×1064+169 = 3(2)634<65> = 24 × 131 × 311 × 29289313 × 3184517198451990953<19> × 529969696247309868060097299599261<33>
29×1065+169 = 3(2)644<66> = 24 × 32 × 7 × 17 × 113 × 7816953130420717<16> × 21287765794111628109846360218211598244634179<44>
29×1066+169 = 3(2)654<67> = 24 × 1427802949<10> × 401021077914566161379<21> × 351722402629121148160250481079214359<36>
29×1067+169 = 3(2)664<68> = 24 × 59 × 45669279983<11> × 747410731981620702799341395278248796028185883490438037<54>
29×1068+169 = 3(2)674<69> = 24 × 3 × 97297245672547<14> × 14355579113581507<17> × 4806102047536425212411100762650443547<37>
29×1069+169 = 3(2)684<70> = 24 × 13 × 53 × 137 × 63419 × 230101 × 94161139 × 137613479 × 61762937837<11> × 182682605772777541389991111<27>
29×1070+169 = 3(2)694<71> = 24 × 859 × 2557 × 3491 × 262640541501008179220616830948678219529933778771543915814333<60>
29×1071+169 = 3(2)704<72> = 24 × 3 × 7 × 1709 × 46919 × 11959840865080003916326929141950625323031218923584550882101679<62>
29×1072+169 = 3(2)714<73> = 24 × 40543171 × 1463538296168531833<19> × 3394014564510851751433819164029338511498778923<46>
29×1073+169 = 3(2)724<74> = 24 × 61 × 131484799 × 170564670174188557<18> × 696872530163933674637<21> × 2112456135343360958467739<25>
29×1074+169 = 3(2)734<75> = 24 × 32 × 821 × 11719 × 60466069 × 533691091 × 7207051020733752002775905933015831479398653344901<49>
29×1075+169 = 3(2)744<76> = 24 × 13 × 2230433 × 6945491297632787648403450357600067544280170259072113555077176938941<67>
29×1076+169 = 3(2)754<77> = 24 × 19 × 432 × 3438325609<10> × 713159477293<12> × 23378214215278606601989169265299467768586106206287<50>
29×1077+169 = 3(2)764<78> = 24 × 3 × 7 × 137 × 13327 × 1532887 × 218008786552189<15> × 3839746112408813449<19> × 409332848905923512672641085713<30>
29×1078+169 = 3(2)774<79> = 24 × 31 × 42811839767089<14> × 78682951493457449<17> × 580536298538177916349<21> × 3322002069165983322011371<25>
29×1079+169 = 3(2)784<80> = 24 × 229 × 277 × 2237 × 303639439 × 13218793843<11> × 3535934898569869989900887815576129085507130803151017<52>
29×1080+169 = 3(2)794<81> = 24 × 3 × 211 × 31814990345796032999824469018781814990345796032999824469018781814990345796033<77>
29×1081+169 = 3(2)804<82> = 24 × 13 × 17 × 23 × 1631393527<10> × 1058188219386596792461901641<28> × 22950583891400428761200702058407026617269<41>
29×1082+169 = 3(2)814<83> = 24 × 53 × 367 × 709 × 183283 × 27589775794043<14> × 28878656213461672477693715170631033735533865492932484959<56>
29×1083+169 = 3(2)824<84> = 24 × 35 × 7 × 18637211 × 635258185990732776426498465292020776923838815038398442393046468320696799<72>
29×1084+169 = 3(2)834<85> = 24 × 9318129829<10> × 76375557878843<14> × 1069777332158424463961179229<28> × 264520272763874740668888998093003<33>
29×1085+169 = 3(2)844<86> = 24 × 137 × 14699918896999188969991889699918896999188969991889699918896999188969991889699918897<83>
29×1086+169 = 3(2)854<87> = 24 × 3 × 9539 × 8496091 × 44103338638703110757280919669<29> × 1878108939776296254396204168036703744320692023<46>
29×1087+169 = 3(2)864<88> = 24 × 13 × 103 × 139 × 3863 × 19579381 × 355881257 × 40198638772147803981015283451920954439696388867104398528688579<62>
29×1088+169 = 3(2)874<89> = 24 × 761633 × 18794683 × 3840975889<10> × 131038556810853121267485289<27> × 279520758098477054630913713365803358931<39>
29×1089+169 = 3(2)884<90> = 24 × 3 × 72 × 145975749947<12> × 938506869749545037824116009510832189825573720703606929908400030230779922521<75>
29×1090+169 = 3(2)894<91> = 24 × 10631 × 527816318101<12> × 48171071514011857<17> × 60270432010193175769829113<26> × 12361977919165624824400516612459<32>
29×1091+169 = 3(2)904<92> = 24 × 2013888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<91>
29×1092+169 = 3(2)914<93> = 24 × 32 × 109 × 5116216608516373473226168543336087<34> × 4012523373323410794288572155260671724077374955462371187<55> (Eric Jeancolas / ECM for P34 x P55 / June 24, 2022 2022 年 6 月 24 日)
29×1093+169 = 3(2)924<94> = 24 × 13 × 31 × 137 × 1163 × 15756452249449<14> × 1139141059969536631933301<25> × 174740765522618146613283592401795833656523777077<48>
29×1094+169 = 3(2)934<95> = 24 × 19 × 7937 × 12659 × 19583 × 2826794647<10> × 1411943797307<13> × 3989037713724209094125600557<28> × 3383507070374531376201746625943<31>
29×1095+169 = 3(2)944<96> = 24 × 3 × 7 × 53 × 18094239792352999900169711490466207447339522811220924428471598282919037636018768094239792353<92>
29×1096+169 = 3(2)954<97> = 24 × 859 × 39791 × 2339273137289901624267812879423898979043<40> × 2518700652090770337141030394427861726345738172167<49> (Eric Jeancolas / ECM for P40 x P49 / June 24, 2022 2022 年 6 月 24 日)
29×1097+169 = 3(2)964<98> = 24 × 17 × 43 × 5651 × 14407 × 7671633821<10> × 1453916359613256825413<22> × 3033835137464346729614955253007525493233890669764696079<55>
29×1098+169 = 3(2)974<99> = 24 × 3 × 1871 × 3527 × 2279633 × 112367657 × 3971263857803342232008957337793656642171717833683408467396179043255275815219<76>
29×1099+169 = 3(2)984<100> = 24 × 13 × 990294951081851<15> × 413039822983864866877<21> × 37873519302849857551878367048331052122952801707979638113605139<62>
29×10100+169 = 3(2)994<101> = 24 × 47 × 599 × 116507 × 10398877317507604787<20> × 54304760578716510578479228723719541<35> × 1087262596967882282760176682530927677<37> (Eric Jeancolas / ECM for P35 x P37 / June 24, 2022 2022 年 6 月 24 日)
29×10101+169 = 3(2)1004<102> = 24 × 32 × 7 × 137 × 6983 × 405799 × 15823617247337<14> × 52037401916825278058437427268939120274519374586874766327772961566716651911<74>
29×10102+169 = 3(2)1014<103> = 24 × 6047 × 2290791809424896679779204512353583<34> × 14538175778991560673468215628357166697475278861823964681733649289<65> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2478609684 for P34 x P65 / June 24, 2022 2022 年 6 月 24 日)
29×10103+169 = 3(2)1024<104> = 24 × 23 × 647 × 162704622085763496019620527<27> × 118537230885985735344867991206703<33> × 7016955479154420824840978343153483814649<40> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1212625161 for P33 x P40 / June 24, 2022 2022 年 6 月 24 日)
29×10104+169 = 3(2)1034<105> = 24 × 3 × 2375283311049755681709871846016047818982067381<46> × 2826173590213190686351548933833369198499470251202245677223<58> (Dmitry Domanov / Msieve 1.54 snfs for P46 x P58 / July 27, 2022 2022 年 7 月 27 日)
29×10105+169 = 3(2)1044<106> = 24 × 13 × 15076941726972300370543<23> × 1027493060063974380712605385167280063850952457367828767793516685645109727276640371<82>
29×10106+169 = 3(2)1054<107> = 24 × 5501 × 5779 × 221483100536857887631283<24> × 8045152573070585296245705392060447987<37> × 35552184175205265325164696399740200871<38> (Eric Jeancolas / ECM for P37, B1=1000000, sigma=1:2042322840 for P38 / June 24, 2022 2022 年 6 月 24 日)
29×10107+169 = 3(2)1064<108> = 24 × 3 × 7 × 374343893452077195060821337599<30> × 2561801396441044665587831737678484264471156095385268349314465144056968406891<76> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1565594947 for P30 x P76 / June 24, 2022 2022 年 6 月 24 日)
29×10108+169 = 3(2)1074<109> = 24 × 31 × 532 × 13220014139221<14> × 45579121343712424216657<23> × 3838169980447290107986062856594309989029663358334660068064999204403<67>
29×10109+169 = 3(2)1084<110> = 24 × 137 × 4127 × 9767 × 6082395541093974961409<22> × 59957652805133494568486000514533444264377628695915068302734545410982751252537<77>
29×10110+169 = 3(2)1094<111> = 24 × 33 × 163 × 211 × 613 × 4144767683595707999<19> × 7042294928294223076144708518077629451<37> × 1212067496535289696067589081258458511021344027<46> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1180423234 for P37 x P46 / June 24, 2022 2022 年 6 月 24 日)
29×10111+169 = 3(2)1104<112> = 24 × 13 × 35977 × 1020936168182484997337962278061058471297906731519211<52> × 421763135940837482477410918078757960011833574154424799<54> (Dmitry Domanov / Msieve 1.54 snfs for P52 x P54 / July 27, 2022 2022 年 7 月 27 日)
29×10112+169 = 3(2)1114<113> = 24 × 19 × 10585648961539<14> × 10013004628426069742619391632734851431179068278323017396814850383351987802079490346086754239804929<98>
29×10113+169 = 3(2)1124<114> = 24 × 3 × 7 × 17 × 302723 × 1330223 × 299619387529745536632512761996363101611<39> × 467549402676934647321927708405178388892964448068950999531083<60> (Dmitry Domanov / Msieve 1.54 snfs for P39 x P60 / July 27, 2022 2022 年 7 月 27 日)
29×10114+169 = 3(2)1134<115> = 24 × 14779 × 370185375514626548201151381724316219<36> × 36810456140374743837978866428736001126445659301325674019796128808554995489<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3781329056 for P36 x P74 / June 24, 2022 2022 年 6 月 24 日)
29×10115+169 = 3(2)1144<116> = 24 × 71161 × 12910231 × 2192095397825373057536033467514868001552930681061575308731359967510699784643312087638844718783281819879<103>
29×10116+169 = 3(2)1154<117> = 24 × 3 × 4603 × 1458388651523563537467513135555716481199861603945896798384306531167274160973921999340204858345201599600904402121<112>
29×10117+169 = 3(2)1164<118> = 24 × 13 × 137 × 1601 × 3571 × 774707221657644941<18> × 25530116690649625915205346454865336866184732470557148606665040497225513194645684941484179<89>
29×10118+169 = 3(2)1174<119> = 24 × 43 × 149 × 138519928846753<15> × 2269177778725195379239324538418521964161838999023453376148430760694640051999182160755939339664600159<100>
29×10119+169 = 3(2)1184<120> = 24 × 32 × 7 × 337 × 538230071 × 1762370023769022734471606240810500401590099310306268380579807728195230200597573028000761979936505854680289<106>
29×10120+169 = 3(2)1194<121> = 24 × 9449003164841579909<19> × 57787767750629429713<20> × 191345074709871698319397<24> × 1927508513134962961973762669372645025211371029237202784561<58>
29×10121+169 = 3(2)1204<122> = 24 × 53 × 103 × 51322571 × 7188098294740704549440885485469237768381115179704322064327300185545472190957197755846477265835457073360404201<109>
29×10122+169 = 3(2)1214<123> = 24 × 3 × 859 × 25667 × 304471030166064076921923906630378020261697898347432206652606841232061904475348027227877479735327944637897357771171<114>
29×10123+169 = 3(2)1224<124> = 24 × 13 × 31 × 499724290046870692031982354562999724290046870692031982354562999724290046870692031982354562999724290046870692031982354563<120>
29×10124+169 = 3(2)1234<125> = 24 × 331 × 56149 × 108359124150028788254260736062097663692987399833647670448319390637787217367045940340808187843796971625232200151576031<117>
29×10125+169 = 3(2)1244<126> = 24 × 3 × 7 × 23 × 59 × 137 × 29947 × 52301 × 103490581 × 8392399347958389307<19> × 5553343868904054639571351357157<31> × 682827413185618384609534478857006697863458843236357<51> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:595115218 for P31 x P51 / June 24, 2022 2022 年 6 月 24 日)
29×10126+169 = 3(2)1254<127> = 24 × 2137 × 4787 × 28164616946527<14> × 698978322581653349494130725904403483484913299355285511367195270140129243138258338052912288548913363654853<105>
29×10127+169 = 3(2)1264<128> = 24 × 2013888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<127>
29×10128+169 = 3(2)1274<129> = 24 × 32 × 5081 × 5741 × 76710754544456938203357972247865516483092498321741157505085591847453737554308045269753296406185457356635235915245118301<119>
29×10129+169 = 3(2)1284<130> = 24 × 132 × 17 × 359 × 1675149539171651173<19> × 1203501278493015052536514926997<31> × 3473914054315079484685365728791603007<37> × 27879579773846419101209402751369442081<38> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:16282690 for P31 x P37, B1=1000000, sigma=1:1590410409 for P38 / June 24, 2022 2022 年 6 月 24 日)
29×10130+169 = 3(2)1294<131> = 24 × 19 × 1308421 × 752228825970002315118512953<27> × 107692244138021097285577842231552114734137563521054308988640411155178283972307321854681176771487<96>
29×10131+169 = 3(2)1304<132> = 24 × 3 × 73 × 11151571853<11> × 161145258852572884237400235948852234565013<42> × 10890968742690914357984661523029223156336431551314271657643400706279347446869<77> (Bob Backstrom / Msieve 1.54 snfs for P42 x P77 / July 28, 2022 2022 年 7 月 28 日)
29×10132+169 = 3(2)1314<133> = 24 × 6661 × 806822521 × 37472965210839689813438101909446281484616122776516743858194751973445583406557721511364301614375190092068314483737526669<119>
29×10133+169 = 3(2)1324<134> = 24 × 61 × 137 × 139 × 179 × 307 × 1697 × 17651823259359098609<20> × 10075271724046690973357287442713423<35> × 104532350645114934222639582673499554913500703295712178327044859689<66> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:618141732 for P35 x P66 / June 24, 2022 2022 年 6 月 24 日)
29×10134+169 = 3(2)1334<135> = 24 × 3 × 53 × 313 × 9461 × 12273987156832922744481411353<29> × 2184931293736242877542646646183<31> × 1594900345136599050690644218358570260409333287581967444958471091853<67> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2315867340 for P31 x P67 / June 24, 2022 2022 年 6 月 24 日)
29×10135+169 = 3(2)1344<136> = 24 × 13 × 3831523 × 186857971 × 36786670428870539614084447134730583<35> × 588191313310785433210151713014932811663669612463359284318193252721813687312489181827<84> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3093917513 for P35 x P84 / June 24, 2022 2022 年 6 月 24 日)
29×10136+169 = 3(2)1354<137> = 24 × 53768282622622292496905943098809604763673<41> × 37454960260188258689574023590341085400304367198785471248613837116932116995087871967539421500193<95> (Bob Backstrom / GMP-ECM 7.0.4 B1=10780000, sigma=1:3494926239 for P41 x P95 / July 27, 2022 2022 年 7 月 27 日)
29×10137+169 = 3(2)1364<138> = 24 × 33 × 7 × 1051 × 150258419 × 68350380811<11> × 16646497606439940037709242674558119080289522967870195821<56> × 593018660401657395387545054532343411538842888766433331459<57> (Bob Backstrom / for P56 x P57 / July 28, 2022 2022 年 7 月 28 日)
29×10138+169 = 3(2)1374<139> = 24 × 31 × 1785854140709<13> × 3637707930632108663475509577123056715925502240292275315520502585788856348589979058771459446473859854567603353948794402307291<124>
29×10139+169 = 3(2)1384<140> = 24 × 43 × 169137851633<12> × 421265297691407591077648376266623440724421133142708702042157<60> × 657310477985442723091563892689104933902740011327769693860968511783<66> (Bob Backstrom / Msieve 1.54 snfs for P60 x P66 / July 28, 2022 2022 年 7 月 28 日)
29×10140+169 = 3(2)1394<141> = 24 × 3 × 211 × 12743 × 21503 × 8520943 × 45790397 × 34926490619<11> × 829798461653896103<18> × 10267658437786317603445258001335155260116191618015071119382746062262331843072419293391<86>
29×10141+169 = 3(2)1404<142> = 24 × 13 × 137 × 713947057145964855018814979597461<33> × 71497081628061533819229308601707849<35> × 2215222038650526774500084209259938849874734065197887162719968256532121<70> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:823547151 for P33, B1=1000000, sigma=1:693099360 for P35 x P70 / June 24, 2022 2022 年 6 月 24 日)
29×10142+169 = 3(2)1414<143> = 24 × 191 × 26005633 × 3477267126886121<16> × 116599490937172491921176040981288430849884747346358031924053463782158291539635902292197637766567802394857977891006703<117>
29×10143+169 = 3(2)1424<144> = 24 × 3 × 7 × 2417 × 2423 × 49409 × 111031 × 46978088093<11> × 403271121416353<15> × 835519265670866810264179447757222183391101875223<48> × 1885762094151606930748951165918642572975091648644143<52> (Bob Backstrom / for P48 x P52 / July 27, 2022 2022 年 7 月 27 日)
29×10144+169 = 3(2)1434<145> = 24 × 25263156788587<14> × 7971643867557725816328908413799288955669236622872953330430103068080852635364067408088089379922553977179328492725682048427419731947<130>
29×10145+169 = 3(2)1444<146> = 24 × 17 × 171357662856758423<18> × 515814137473145563557851<24> × 9640215135167724500888468964059<31> × 139028259925229025660729777479747126384552765032666891647776050414044631<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2269365822 for P31 x P72 / June 24, 2022 2022 年 6 月 24 日)
29×10146+169 = 3(2)1454<147> = 24 × 32 × 47 × 1867 × 88951 × 38071912300696343<17> × 233117448772456991<18> × 32301338033822104678747112558298244810408785888743162821382235600109698099608910525548008594091187283<101>
29×10147+169 = 3(2)1464<148> = 24 × 13 × 23 × 53 × 208667 × 27103701517<11> × 30796653648303690669329044036488452201743<41> × 72962976212855528100546253030076323708724949990020197261052075452592713372218190866031<86> (Ignacio Santos / GNFS, Msieve for P41 x P86 / August 4, 2022 2022 年 8 月 4 日)
29×10148+169 = 3(2)1474<149> = 24 × 19 × 277 × 859 × 831838697741<12> × 539889566687113<15> × 17401386894163969435177639583<29> × 57000813504692205293105888736634148802095931734592971753611838728421251929393076431103<86>
29×10149+169 = 3(2)1484<150> = 24 × 3 × 7 × 137 × 2897 × 64711965842908348370736224263471909841093107<44> × 37338989071548485057610271965637675977056271564829210333634614071759597357630372678304774500577583<98> (Bob Backstrom / Msieve 1.54 snfs for P44 x P98 / August 2, 2022 2022 年 8 月 2 日)
29×10150+169 = 3(2)1494<151> = 24 × 31627 × 50051 × 31987057 × 1203604091<10> × 79553590129814566629855644772797087<35> × 41538138051006445655334506809951653977286140214043261529120777355938611331110246697441653<89> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1160996082 for P35 x P89 / June 24, 2022 2022 年 6 月 24 日)
29×10151+169 = 3(2)1504<152> = 24 × 197 × 161400793 × 16566109843346501256010155009425333<35> × 3823341393964113651800400802394884529456967226869958115888240908968149091210420557452291047415961515933273<106> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3400207495 for P35 x P106 / June 24, 2022 2022 年 6 月 24 日)
29×10152+169 = 3(2)1514<153> = 24 × 3 × 1397251 × 232174099 × 239655467 × 86345301953984015322381070151708053791944643775111302999611563728398474269888409183634924648471092383752634822114792794564338561<128>
29×10153+169 = 3(2)1524<154> = 24 × 13 × 31 × 97 × 58355039 × 1799032957<10> × 27142473073<11> × 314154111419261<15> × 1110049077832326525287327<25> × 5184500235306123252389895634856830665320150163150227851736080411243744027229345083<82>
29×10154+169 = 3(2)1534<155> = 24 × 557 × 1627 × 2671 × 65763970986097075249457951<26> × 606389094867386808444262409<27> × 20863129709355526016870073462999160237279077231070433874367292463429193345496484230258458559<92>
29×10155+169 = 3(2)1544<156> = 24 × 32 × 7 × 103 × 4273 × 12689 × 10611960668657537179060313<26> × 5393886576090569054464289659180082108477788040759989260338247270615633642899699111058040130142971337098255912855208841<118>
29×10156+169 = 3(2)1554<157> = 24 × 401 × 193261 × 562887397 × 690063673965446772724575217185912053476026152439141513042892027<63> × 6690155615944261778586319339758966775539811193027768299807376833123570710571<76> (Bob Backstrom / Msieve 1.54 snfs for P63 x P76 / August 3, 2022 2022 年 8 月 3 日)
29×10157+169 = 3(2)1564<158> = 24 × 137 × 373 × 38714488543961<14> × 722898191959462443075997308317738164231950910753327<51> × 1408171148971392472665019184409232925740765498598294377781288634187438934678716944830587<88> (Bob Backstrom / Msieve 1.54 snfs for P51 x P88 / August 3, 2022 2022 年 8 月 3 日)
29×10158+169 = 3(2)1574<159> = 24 × 3 × 1217 × 4937 × 1541821 × 9717839 × 41802108475264020476861508839273<32> × 5829474139643073516632721657312461<34> × 306005562794596300497956331171003557681922467259861167394682170601854421<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2875510374 for P32, B1=1000000, sigma=1:1897423320 for P34 x P72 / June 24, 2022 2022 年 6 月 24 日)
29×10159+169 = 3(2)1584<160> = 24 × 13 × 14230273 × 1347068207074491227271912937420757<34> × 6280477783576688550142205143415804905751<40> × 128675733247841949209649266436876266404567715567623113072934338226718504001023<78> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1672279904 for P34 / June 24, 2022 2022 年 6 月 24 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=10920000, sigma=1:2355309209 for P40 x P78 / August 5, 2022 2022 年 8 月 5 日)
29×10160+169 = 3(2)1594<161> = 24 × 43 × 53 × 937 × 63933053 × 1074261343<10> × 61116543749<11> × 687726814313109506294443907<27> × 9067855818821189032514985227363<31> × 2057375288629575979182643302688049<34> × 17511499204226750991155530662528337<35> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:911950989 for P31, B1=1000000, sigma=1:3491573841 for P34 x P35 / June 24, 2022 2022 年 6 月 24 日)
29×10161+169 = 3(2)1604<162> = 24 × 3 × 7 × 17 × 613 × 283680797 × 2859489371<10> × 1267850220242209733740935551<28> × 3939938181613312844539631887<28> × 22710726753466715785190566656978382634793977126847283801909670434511177750913286591<83>
29×10162+169 = 3(2)1614<163> = 24 × 20701945230377<14> × 21456806419997810311<20> × 77343429827509994952286953585017707292555371001808427<53> × 5861865377782544824439210620468004290211639425054528435051151894659855656181<76> (Norman Powell / Yafu v1.35 for P53 x P76 / August 14, 2022 2022 年 8 月 14 日)
29×10163+169 = 3(2)1624<164> = 24 × 2013888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<163>
29×10164+169 = 3(2)1634<165> = 24 × 34 × 263 × 1464751 × 14964825853<11> × 2719674449086970154459653627406661704077<40> × 15857778479819577687052331942423190346726087745631857356132429457216939082650687076732805742810793947273<104> (Bob Backstrom / GMP-ECM 7.0.4 B1=10950000, sigma=1:1905450376 for P40 x P104 / July 31, 2022 2022 年 7 月 31 日)
29×10165+169 = 3(2)1644<166> = 24 × 13 × 137 × 5011 × 14713 × 1533719532893685261959984005775199240337321915948755276273089383048721313254607947985594188536427812001921846647753518180794426518543403099464568326576783<154>
29×10166+169 = 3(2)1654<167> = 24 × 19 × 10909 × 21211 × 653990625419<12> × 2842478706352331<16> × 29074142871498272238479<23> × 83164392281649715223223899<26> × 101911392936210202404698211351366096851143134875764497092384933255798961139898401<81>
29×10167+169 = 3(2)1664<168> = 24 × 3 × 7 × 467 × 3593 × 5813 × 41438347 × 36104143933449973<17> × 152866704309531299167<21> × 429901947997046686167141741847590030069836764312274009609733428898758216699643775985199244775276119044927790939<111>
29×10168+169 = 3(2)1674<169> = 24 × 31 × 79357 × 52962941 × 859248165833<12> × 1798862065852509196810076137890061897162289348622135518039339155700524514108746632419288058585113685640521960315766445352563827979517014618039<142>
29×10169+169 = 3(2)1684<170> = 24 × 23 × 4417733992720261596169937<25> × 19820203438621666183314810323130188834420904100026833329419772160761738675664744201678098379056906034474983382537449047650540993686993224285439<143>
29×10170+169 = 3(2)1694<171> = 24 × 3 × 211 × 25468638037<11> × 678692539981888562407189549746120355837<39> × 1840572796936988089527601430954592194597155032226496445707056397889434650230883433985387887807344090867890658777400257<118> (Bob Backstrom / GMP-ECM 7.0.4 B1=18870000, sigma=1:1574124047 for P39 x P118 / July 31, 2022 2022 年 7 月 31 日)
29×10171+169 = 3(2)1704<172> = 24 × 13 × 8391463 × 38359480441<11> × 50908194829<11> × 4902309054355845978514164689<28> × 1361042437758234833638391130119<31> × 141684291249015203928014280550282623208297966034037677680500917930689267271265288569<84> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1199933120 for P31 x P84 / June 24, 2022 2022 年 6 月 24 日)
29×10172+169 = 3(2)1714<173> = 24 × 5013057990800213<16> × 1098536391111397857811<22> × 205614105558490595592121467038052430787<39> × 83931254419238367019734128691683935034790121<44> × 21190524680730168208723100784981494048634996939610549<53> (ebina / GMP-ECM 7.0 B1=3000000, sigma=1:2019359897, Msieve 1.53 gnfs for P39 x P44 x P53 / July 28, 2022 2022 年 7 月 28 日)
29×10173+169 = 3(2)1724<174> = 24 × 32 × 72 × 53 × 137 × 68137488072340789<17> × 1087189983049199774453<22> × 9416999777499116296673063487844106547276308673696090296549<58> × 9015635772326516611073202774102440536760734559875683535897965981529433<70> (Bob Backstrom / Msieve 1.54 snfs for P58 x P70 / August 10, 2022 2022 年 8 月 10 日)
29×10174+169 = 3(2)1734<175> = 24 × 443 × 859 × 11941 × 310081 × 15236051019488596177<20> × 4809408550030034666648055363850325099627<40> × 1950557117155834195874126183473191164760374151272487761153567548976136638915966948005570312509183383<100> (Bob Backstrom / GMP-ECM 7.0.4 B1=10070000, sigma=1:1317698978 for P40 x P100 / August 1, 2022 2022 年 8 月 1 日)
29×10175+169 = 3(2)1744<176> = 24 × 7867 × 20282943989120586190436047305499353486952545094381<50> × 12621046425921491313766885880991861540627999272441637893512454874482441671103420681292048917648301102330614592801032080807<122> (ebina / Msieve 1.53 snfs for P50 x P122 / July 29, 2022 2022 年 7 月 29 日)
29×10176+169 = 3(2)1754<177> = 24 × 3 × 134032831291<12> × 18592149629609395671545281<26> × 1358667028740059001837449505065941947352423436441<49> × 1982715570381872545806055946479329256708640330968898106826935615511969191411592906050307633<91> (Eric Jeancolas / cado-nfs-3.0.0 for P49 x P91 / August 13, 2022 2022 年 8 月 13 日)
29×10177+169 = 3(2)1764<178> = 24 × 13 × 17 × 113 × 227233 × 32281001 × 513695791933<12> × 81625832677924080460241<23> × 956188841600615678504430842269950845083201<42> × 27420103460340944993440184755430537857430881263041394380989055273146522663527784457<83> (Eric Jeancolas / cado-nfs-3.0.0 for P42 x P83 / August 9, 2022 2022 年 8 月 9 日)
29×10178+169 = 3(2)1774<179> = 24 × 181 × 190613 × 669019243 × 364558884847909<15> × 98962591884428139536466972057269486927726527<44> × 2418393998640936591055137786892552595870239668795725778589252754855430800209962812901384748937703522137<103> (Bob Backstrom / GMP-ECM 7.0.4 B1=20390000, sigma=1:2428375916 for P44 x P103 / August 1, 2022 2022 年 8 月 1 日)
29×10179+169 = 3(2)1784<180> = 24 × 3 × 7 × 139 × 721335971 × 3210536215615614001552295664464771<34> × 62420544021719670424975020322898289481907<41> × 47726402375372818886286240425198717336160900289313158141414454353287169791415134600163118813<92> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4077615117 for P34, B1=1000000, sigma=1:3010038504 for P41 x P92 / June 24, 2022 2022 年 6 月 24 日)
29×10180+169 = 3(2)1794<181> = 24 × 1620887 × 131726971 × 14737981257714954301148179284741680305780358689861624289640118457<65> × 63998539224762430073195057717350633334672658977535351680795234189018437020957039230605012329669717701<101> (Bob Backstrom / Msieve 1.54 snfs for P65 x P101 / August 5, 2022 2022 年 8 月 5 日)
29×10181+169 = 3(2)1804<182> = 24 × 43 × 137 × 54293 × 256097310384601006816378900222023244765727<42> × 3427900591851688010270473380490068220493226381802544753<55> × 7172481010032340048060359558221746942486124722313730206566283772709330950313<76> (Bob Backstrom / Msieve 1.54 snfs for P42 x P55 x P76 / August 2, 2022 2022 年 8 月 2 日)
29×10182+169 = 3(2)1814<183> = 24 × 32 × 236573 × 3719153171<10> × 32030163441393952861561826372397671007817<41> × 79400749051978765468785903188764926605345627332664860308620563074429443392986667151926086480797256499741613098860062395864111<125> (Bob Backstrom / GMP-ECM 7.0.4 B1=12370000, sigma=1:487941760 for P41 x P125 / August 3, 2022 2022 年 8 月 3 日)
29×10183+169 = 3(2)1824<184> = 24 × 13 × 31 × 59 × 5843 × 52814821 × 112359933053257913831201<24> × 34414270104424827639689947468693<32> × 7098011762945348861179634193252202982578719767036623125400719786812843292906282220830692089107805249501307159083<112> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3680306888 for P32 x P112 / June 24, 2022 2022 年 6 月 24 日)
29×10184+169 = 3(2)1834<185> = 24 × 19 × 604157070146933<15> × 1548141460250419804822501507774517<34> × 2704012443588232263059965860709891541<37> × 17137278901587572640010266355339267156891<41> × 2445517925891663082753140854552233154694375340032789010941<58> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3898273790 for P34, B1=1000000, sigma=1:4275743722 for P37 / June 24, 2022 2022 年 6 月 24 日) (Ignacio Santos / Yafu for P41 x P58 / July 28, 2022 2022 年 7 月 28 日)
29×10185+169 = 3(2)1844<186> = 24 × 3 × 7 × 223 × 10711 × 1808501 × 43581355484449378081<20> × 28054826943506175448585440769036521743749525583621821291<56> × 181574245271950276888535023046811671135826170155764427644378168723159797041508495618782196956843<96> (Eric Jeancolas / cado-nfs-3.0.0 for P56 x P96 / August 27, 2022 2022 年 8 月 27 日)
29×10186+169 = 3(2)1854<187> = 24 × 53 × 2402291 × 87251140203673<14> × 185379868140336752499166493565839497803983278889459<51> × 97791327579712082008966245301943792486144016099819371149443136983553202308424258252689319075741615573780257522549<113> (Bob Backstrom / Msieve 1.54 snfs for P51 x P113 / August 13, 2022 2022 年 8 月 13 日)
29×10187+169 = 3(2)1864<188> = 24 × 1523 × 932051 × 1338653 × 1059809748798224393348903656443954453124937544624151472043329424260814604687738305718189866086576300101458786155168067011969410007958540691893506565683893164145887547918181<172>
29×10188+169 = 3(2)1874<189> = 24 × 3 × 3769 × 562975527721751<15> × 536491206924131701521087950343771359377113701868515865338556618998157676322407<78> × 5897066003119261465267877906186966976774789830202220490316289207681540135669095275509384811<91> (Bob Backstrom / Msieve 1.54 snfs for P78 x P91 / August 12, 2022 2022 年 8 月 12 日)
29×10189+169 = 3(2)1884<190> = 24 × 13 × 103 × 137 × 31868983 × 34448170110964556449956072279322410821853646923936137870044175539108159279314011298839531269227107662821351267873935983952200010391418590843489497517114010770640202542936764181<176>
29×10190+169 = 3(2)1894<191> = 24 × 1861 × 3767 × 143401 × 199799645662666282688814529<27> × 10026436759746869962735356887485411026167725264368932910359714891240810716571325353109466524757824103420917030186875627854979747342286855055225228170443<152>
29×10191+169 = 3(2)1904<192> = 24 × 33 × 7 × 23 × 163 × 167528034903877<15> × 33796247600292031457016472240421563<35> × 5019983431227283092708579113513403534049138393519576913372962047437854486343323269383605226218468142564919931466144705382159630384945199<136> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2562888791 for P35 x P136 / June 24, 2022 2022 年 6 月 24 日)
29×10192+169 = 3(2)1914<193> = 24 × 47 × 62536615430142751<17> × 68517778694720081048672624876963959954339709129842894822265241402876460699168517695866618442261387411869758831625745858803632509089765828609055519117331399478588681043721737<173>
29×10193+169 = 3(2)1924<194> = 24 × 17 × 61 × 419491 × 369875098873636557242018337890216636812829<42> × 13722200529542187018589893370897353648623857312808326478821<59> × 912126862131083872855357587745528503768026350732665462809356550755492283714407121263<84> (Bob Backstrom / Msieve 1.54 snfs for P42 x P59 x P84 / August 11, 2022 2022 年 8 月 11 日)
29×10194+169 = 3(2)1934<195> = 24 × 3 × 131 × 8415991 × 42537149 × 278229997477<12> × 1810563603907<13> × 15554387942059<14> × 64456340427478951140978935692145618821825176784914903401177959<62> × 283421639513388598716927892431029046322550825100382903354941015304012515044033<78> (Eric Jeancolas / cado-nfs-3.0.0 for P62 x P78 / February 22, 2023 2023 年 2 月 22 日)
29×10195+169 = 3(2)1944<196> = 24 × 13 × 5297 × 8175077 × 4874513653<10> × 9068890882338127<16> × 58279039705372889728925335839006256787249<41> × 138858501422178722101369662342838864011408866578069800383140113400122930719694237351507486509447079577850738795320123<117> (Bob Backstrom / GMP-ECM 7.0.4 B1=23020000, sigma=1:89827396 for P41 x P117 / August 17, 2022 2022 年 8 月 17 日)
29×10196+169 = 3(2)1954<197> = 24 × 1171 × 346759406258537<15> × 741787267933031467490614600666954883623489043808874742605699145616914906782240939<81> × 6686071018060641409978237005189279707359474046786154255902299826265893791518397855348521683578913<97> (Bob Backstrom / Msieve 1.54 snfs for P81 x P97 / August 17, 2022 2022 年 8 月 17 日)
29×10197+169 = 3(2)1964<198> = 24 × 3 × 7 × 137 × 907 × 130474523 × 171591473 × 679824923 × 360913005102759306807631059767996221322245260381792246519673<60> × 1404970879554242339847252111924304479834843775761455412313660248393085098641097204042224224527631744766311<106> (Bob Backstrom / Msieve 1.54 snfs for P60 x P106 / August 19, 2022 2022 年 8 月 19 日)
29×10198+169 = 3(2)1974<199> = 24 × 31 × 125639 × 3796849883015434566551<22> × 6613715730600434950583618196083226249511853006891966789<55> × 2059113993479108059280159609765718982240521352493694176275841024926846985216095416944137363948006661994925521579739<115> (Bob Backstrom / Msieve 1.54 snfs for P55 x P115 / August 23, 2022 2022 年 8 月 23 日)
29×10199+169 = 3(2)1984<200> = 24 × 53 × 3923 × 850466178253<12> × 1408947206945570529019378975014136799181894354378523<52> × 8083316067095856738969745715091551609447243578744328662636624329115563893996406420477976387154365849468502521754663223873249927049<130> (Bob Backstrom / Msieve 1.54 snfs for P52 x P130 / September 1, 2022 2022 年 9 月 1 日)
29×10200+169 = 3(2)1994<201> = 24 × 32 × 109 × 211 × 859 × 113263735108372344628824744720522814702914618851305744425880252676251618217730594299142444923209159166643643664400568966766046111315682601559399732349264007968677738615771217043567414691680981<192>
29×10201+169 = 3(2)2004<202> = 24 × 13 × 61381 × 20212880981<11> × 1898661235139<13> × 328438627774519575154885913994375049<36> × 20022959213460301746682609398057090343277038482675910364435104071128220494819795733917748931896498863315713240490453445013527429954096143<137> (Bob Backstrom / GMP-ECM 7.0.4 B1=41880000, sigma=1:3970051098 for P36 x P137 / June 15, 2023 2023 年 6 月 15 日)
29×10202+169 = 3(2)2014<203> = 24 × 19 × 43 × 15394275943<11> × 66304413352386329734348426260952160342938530649<47> × 2414970029347415451595105332775520064714936067130957168270504342188966927726460632693910796433197437882282422162194903020811563523691514555431<142> (Bob Backstrom / GGNFS-0.77.1-20060513-nocona, Msieve 1.44 snfs for P47 x P142 / July 2, 2023 2023 年 7 月 2 日)
29×10203+169 = 3(2)2024<204> = 24 × 3 × 7 × 1123 × 853957888686294741504002412283801420043628414064745320310769999104816558066780684768218160916290925195644696980404905605261794041847470164478178725729927867060547381117283165368650675863498659580583<198>
29×10204+169 = 3(2)2034<205> = 24 × 44089 × 7130283830743<13> × 373792498795927<15> × 1713830461186587658022840427706565582236500981246156373747750671450978367532027150125259022271179510363513760556117041254511542876930065241730668476574742500543712549269041<172>
29×10205+169 = 3(2)2044<206> = 24 × 137 × 11321139197<11> × 40305452099111<14> × 1865200627826990181209<22> × 87200937518802259719137732851820929<35> × 250933820752263034456398911506684315003869185846090161<54> × 789323631114370450683416876035693983604531129338911681018824388503771<69> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1604408181 for P35 / June 24, 2022 2022 年 6 月 24 日) (Ignacio Santos / Yafu 2.0 for P54 x P69 / August 1, 2022 2022 年 8 月 1 日)
29×10206+169 = 3(2)2054<207> = 24 × 3 × 257 × 673759048130685115913965547159<30> × 39331619550298429115888658623516727563672983421278579<53> × 34046409315160042599664182688051406713012198750930623371<56> × 28950986815007511462734003384390920849785824312424777203345022389<65> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2752186903 for P30 / June 24, 2022 2022 年 6 月 24 日) (anonymous / GMP-ECM 7.0.5 B1=11000000 for P53 / August 22, 2023 2023 年 8 月 22 日) (Bob Backstrom / for P56 x P65 / August 24, 2023 2023 年 8 月 24 日)
29×10207+169 = 3(2)2064<208> = 24 × 132 × 17032699 × 2551747905712758118530051186140749<34> × 27417481714743135630982772445607987511150324492488290695387597334455407709219170307174558490863539917931736093938677371352264907114724914172569857513439568864222831<164> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2848632464 for P34 x P164 / June 24, 2022 2022 年 6 月 24 日)
29×10208+169 = 3(2)2074<209> = 24 × 13721 × [146774206609495582602499008008810501340200341730842423211784045542517957065001741045761160913117767574439828648705552721295014130813270817643676764732081399962749718598417672829158872450177748625383637409<204>] Free to factor
29×10209+169 = 3(2)2084<210> = 24 × 32 × 7 × 17 × 577 × 4693299547<10> × 11028628932801908173189154836923904942312223<44> × [629608269199729180497603323900800026414141917363393277378273098450011084169423831883534504144783929691308735207616314738207083756398147635960966734507<150>] (anonymous / GMP-ECM 7.0.5 B1=3000000 for P44 / August 25, 2023 2023 年 8 月 25 日) Free to factor
29×10210+169 = 3(2)2094<211> = 24 × 2974289 × 10819351 × 3221872671462188793019<22> × 17517628562190788166789250241108763608713582091009<50> × 110883632287461806385882905303375447580955855772539617908577120848371820565501734173428529834770536580725556374888785633600781<126> (anonymous / GMP-ECM 7.0.5 B1=11000000 for P50 x P126 / August 25, 2023 2023 年 8 月 25 日)
29×10211+169 = 3(2)2104<212> = 24 × 26494277 × 490548587 × 348591438147529<15> × 4402838793768409<16> × 49354589091380128537<20> × 25480866580926583249254478083097092662714984125733456685559946365649179<71> × 80280518595503542602348789893666362740797600481321545920508505721650897637<74> (NFS@Home / Msieve 1.53 for P71 x P74 / July 19, 2023 2023 年 7 月 19 日)
29×10212+169 = 3(2)2114<213> = 24 × 3 × 53 × 613 × 191215428534703<15> × 3772219286018933<16> × 286456080110662914672633444676688431509493061910681802234387425812511591489397020791625679121673604348229527937773067749232962791317007450566609521560948084399870683790797316833<177>
29×10213+169 = 3(2)2124<214> = 24 × 13 × 23 × 312 × 137 × 48684529 × 218486859919<12> × 2020381092181<13> × 238051417204852054004274508781308585581288055827932667183765161710960455955714674288925514842397237762994137750335964525383274349094112513327859322523609088874226098797899033<174>
29×10214+169 = 3(2)2134<215> = 24 × 1153 × 5471 × 29810475689<11> × 690364090489999<15> × [15512878257422673872146092955839882156556051817369069926705927491333762013905813987228299354015481819737043904914272404680007333437219130729679120094628233554744974422564145279750273<182>] Free to factor
29×10215+169 = 3(2)2144<216> = 24 × 3 × 72 × 5522527 × 26316703635829<14> × 1573891788441843588459240673<28> × [598927099567995156318481169070554551706084853432533933555066016959914880753829213217988549411198876049393049205280613646199205821420160953850835336048622750289362793<165>] Free to factor
29×10216+169 = 3(2)2154<217> = 24 × 49976060807837<14> × 5103622420829287278430013527<28> × 8831721281139391381182362427467<31> × 11220562919090961397162564994039625372297362569<47> × 7967736214902506210887689788855258435006376130947143473945148657826089607708833773638448655306057<97> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1245486936 for P31 / June 24, 2022 2022 年 6 月 24 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:2382059367 for P47 x P97 / July 30, 2022 2022 年 7 月 30 日)
29×10217+169 = 3(2)2164<218> = 24 × 277 × 7573 × 371570753 × 3451498324530113701<19> × 748580638900053415557329944444995708400447655296238286649322092989313180666431516857796736225763890523512032588900307679831880542437090646193338472895394032429783893873831425732969453<183>
29×10218+169 = 3(2)2174<219> = 24 × 33 × 404433959 × 1844268407892403121195908543861631494853159549663875053073584193414755857158914063880290462113621473436205951725939941810255949177645853907843514353727749971703308415515062281284446564533189943836476062464973<208>
29×10219+169 = 3(2)2184<220> = 24 × 13 × 311 × 331898459 × 189077283739<12> × 194928106523<12> × 2734711059989<13> × 32764055685910238892580627<26> × 45446831193777944868270195595534173939482236999338933722073043936387753737472066021640720823382260105507497759632101709817979695403186193902200567<146>
29×10220+169 = 3(2)2194<221> = 24 × 19 × 37408999 × 21107453659<11> × 99052642211881<14> × 6847413183291659046535243798844661813739057920395119724957<58> × 197914390671518641694247650574612313049503084091021294374403538129266490980110454045429582113253364914018585102757995069574990323<129> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P58 x P129 / September 23, 2022 2022 年 9 月 23 日)
29×10221+169 = 3(2)2204<222> = 24 × 3 × 7 × 137 × 15173 × 114757 × 1208205133<10> × 24247339467619<14> × 1268449656486031<16> × [108184986547009059357090381048972926148547128086043836050035758632627198643854168241255694118096002497512340217200950730147633734541062816951657154313121045513539968128301<171>] Free to factor
29×10222+169 = 3(2)2214<223> = 24 × 15313 × 1782067799955248205565310225929<31> × 7379908890841621187386640458088447758651092904215832772204421509702942154972306892214790907514445968584372714361733112732551792707840954124046024518855543461940941446308795062231681349857<187> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1247001345 for P31 x P187 / June 24, 2022 2022 年 6 月 24 日)
29×10223+169 = 3(2)2224<224> = 24 × 43 × 103 × 7057 × 2047711266260443361<19> × 82481825282691556881402839<26> × 381489619621688971189386499143522773139599630376006265180896319897623150508199742132821507648335823204976455124091587596310928184282937914684087752103054260735191129776347<171>
29×10224+169 = 3(2)2234<225> = 24 × 3 × 1663 × 56401 × 18904538404561<14> × 260146830926376787785059427235632967<36> × 14552934690634230104036342013422428152390094171066590013831653937432923552916736525502415174094202947501756756328624282275091516231617919175205093358604243469082504523<167> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1556822953 for P36 x P167 / June 24, 2022 2022 年 6 月 24 日)
29×10225+169 = 3(2)2244<226> = 24 × 13 × 17 × 53 × 139 × 9321061 × 18852646631018593426902599237588261128211<41> × [703906352893565167938911686652647492887382667337180496096422002595341189570642925962561833692642450040499446455895631943645147606810601704453653520276259128268709185294837<171>] (anonymous / GMP-ECM 7.0.5 B1=3000000 for P41 / October 22, 2023 2023 年 10 月 22 日) Free to factor
29×10226+169 = 3(2)2254<227> = 24 × 859 × 5563091 × 3831844631<10> × 40184076234729839<17> × 8314354447258918361762497<25> × 329181759630803901420450585775800158895793092798841511539885847604099836580933566813080644623577461360349277751797182774896395565863032584826284837159626993539776897<165>
29×10227+169 = 3(2)2264<228> = 24 × 32 × 7 × 1307 × 1799709172147<13> × 2881679860781<13> × [47159729715616818524886664483169799478895378907874458882987957511635309167500377458447116101145219349399030436927593296980797882799589955404567018638605610021530991911254036264783961472959590197347<197>] Free to factor
29×10228+169 = 3(2)2274<229> = 24 × 31 × 887 × 1087 × 446702214061<12> × [15083514426675738564984078363163531061115387361488824146244143726344296175666038836705485909923023918990169837255335576472885573452254260182491008690592203575897233682823212708555611722660290464662431239706891<209>] Free to factor
29×10229+169 = 3(2)2284<230> = 24 × 137 × 167 × 74903 × 80720721195133<14> × [14558419243688960740835017086538742054681805659764578631165470118161176285486978598083281031738550888924542056539755728860382362182372361280319949423839727331969626866482466870450067312490535294262472432709<206>] Free to factor
29×10230+169 = 3(2)2294<231> = 24 × 3 × 211 × 1544528708850129418081<22> × [20598510188575033931888319325211771132014728759867627192897382599444854339618354760343800165724921763909456514389935628590805326545504232011037359295568245509913466364287835685914099113874966724024864554593<206>] Free to factor
29×10231+169 = 3(2)2304<232> = 24 × 13 × 6936313716399486539<19> × 1726672136180875291547<22> × 5671547188441930382115338489<28> × 228061510113155454033037069488931511867755579004707624005070172712629513838025799121195835926956467424515097446006705465902843751187256360645121414314293060356669<162>
29×10232+169 = 3(2)2314<233> = 24 × 7134739 × 289712422629658054116927402619643<33> × [974294604386777377961160504417707244176616452716595421569763303451614453888282143057805626389913852876930843742105529821967018427204030120972250236387668161382766162737898522552386376974306457<192>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1754150952 for P33 / June 24, 2022 2022 年 6 月 24 日) Free to factor
29×10233+169 = 3(2)2324<234> = 24 × 3 × 7 × 1061 × 70979 × 554704099 × 37884192553<11> × 465166658442706178412681548374633<33> × [1302695646815823490652299560051464810562941248951011827494414862485733033978134883508647630390466860359203082388601026765574992518326228930587734412336994614733203445426361<172>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:235464074 for P33 / June 24, 2022 2022 年 6 月 24 日) Free to factor
29×10234+169 = 3(2)2334<235> = 24 × 331 × [608425646189996643168848606915072171869754951325948304800268546492111446794226250419603893924135615978516280631084256461899966431688486069150721718697549513259483048002685464921114467942262504196038939241356159785162806310842564619<231>] Free to factor
29×10235+169 = 3(2)2344<236> = 24 × 23 × 71597 × 1657394330924922356927<22> × 115013506706184028558907<24> × 6415612877799124590534560756148260782494794155610293856782029666306688915537707728031612423251970309625450543529197691115012151660513114141108182453465093602346508652511783061740413071<184>
29×10236+169 = 3(2)2354<237> = 24 × 32 × 4651 × 1309657272634030294119020375999<31> × 367357573621412392806847190038419876506777094314183573700009042759234875998621809099690202260343382206115325960961349880176170958460075439625898063531607216286926358907502817792906978535606134640694829<201> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:495992387 for P31 x P201 / June 24, 2022 2022 年 6 月 24 日)
29×10237+169 = 3(2)2364<238> = 24 × 13 × 137 × 191 × 1482583 × 84003281 × 8135821788007<13> × 73409026779783880755077569<26> × 132377526711905513815239871341397<33> × 32762288832729122684105985715288844779<38> × 12533223893348487693010198090152322151128438139<47> × 146426865347501641767836684315148296581650110027508005212005143<63> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2425225239 for P33 / June 24, 2022 2022 年 6 月 24 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:2195210340 for P38 / July 30, 2022 2022 年 7 月 30 日) (Ignacio Santos / Yafu for P47 x P63 / August 1, 2022 2022 年 8 月 1 日)
29×10238+169 = 3(2)2374<239> = 24 × 19 × 47 × 53 × 31321 × 511077349 × 2658189415518719403017134518463566392288624144949022407990584944956486490022894808062991821500386689065837049409557064073370672106947636119290328630446261603223535248259483888903877425295231505308300004264402067140149229<220>
29×10239+169 = 3(2)2384<240> = 24 × 3 × 7 × 193 × 1381 × 3325126675909<13> × 907661658567414898817657421106037<33> × [1192155860407025168786675362843366860263464958208987716379952898938860402652014250425214634945989540445428501400785388502725912399933781540037305509516177059134773490939510458917248299881<187>] (anonymous / GMP-ECM 7.0.5 B1=3000000 for P33 / May 31, 2024 2024 年 5 月 31 日) Free to factor
29×10240+169 = 3(2)2394<241> = 24 × 233 × 10074225821208869<17> × [85796170402656951183209043299130914681199256884409758580630856118414163244268450580520053873285924690312961799194252999352769370452705412711944436807231963311934259496596169243325645770503509617699819340306353248735076157<221>] Free to factor
29×10241+169 = 3(2)2404<242> = 24 × 17 × 59 × 1567 × 4025501 × 123313919 × [2581270614114440246639532964034726222084045813083729563652381317351290145849331936148769839528895892939722246516293172516526915710876949713227471714896599456814763757051371512316129818976520374387101809257188330151831431<220>] Free to factor
29×10242+169 = 3(2)2414<243> = 24 × 3 × 1657 × 19489 × 118297 × 743447 × 26582393 × [88916911298778095691296565521663001658373728900619062669070968036724090023221226908217297437260439386942441392907203209677282098035708490059414349034575566774260322077009301745381012951199933238802665892852147664413<215>] Free to factor
29×10243+169 = 3(2)2424<244> = 24 × 13 × 31 × 1229 × 27271 × 55057 × [270810170099737187784939203333667115877873718824983023255547391997502632494601740726088080265855526166152403099715322404458411382190771392070318140713426739465995327955484157630890169808677993956876175565469894515032755457423401<228>] Free to factor
29×10244+169 = 3(2)2434<245> = 24 × 43 × 4421 × 487751110509481119971<21> × [21719422244046438690734632154590796837880920379665783022489498388139674792669793506224271668461916456107720469145959006254377155386690788652811776028808450354683853495827737446256640296611415436792575486879467950784453<218>] Free to factor
29×10245+169 = 3(2)2444<246> = 24 × 34 × 7 × 137 × 676323970367<12> × [383333787105836868146906286231417079990591951135282340962084734207732390480323008198543634227071741657758837596425139600983833185271463160001659743009942690627534881409677783370650030224709146061143101078305675314418832566445673<228>] Free to factor
29×10246+169 = 3(2)2454<247> = 24 × 1699 × 3511 × 15289 × 13792790807<11> × 820966083717104243<18> × 872042699975792853915195787<27> × 223623325156438456004256499686281445026523110538684389722754499245093653862544865591262058456492415005126563368740660743650305375703558710037870494691080148745432930758393083369707<180>
29×10247+169 = 3(2)2464<248> = 24 × 3709 × 168481 × 817841477 × 203963070811<12> × 97216859067680411120385053283170819599<38> × [198730937496187907545211022922793650975271139478594124093653733347579767971139151411779692787701247350666874942747885097469287677980064909343245436887785370678074133759734870985797<180>] (anonymous / GMP-ECM 7.0.5 B1=3000000 for P38 / April 28, 2024 2024 年 4 月 28 日) Free to factor
29×10248+169 = 3(2)2474<249> = 24 × 3 × 34031 × 12234619950384809204021<23> × 16123118905883562701704042063604078627489144239287471195657005998274958853358793248770838614516335245498376551656590059450508839988831836783709955031201836446917829850555021732708474796333937968284294443804475442801885513<221>
29×10249+169 = 3(2)2484<250> = 24 × 13 × 97 × 197 × 33832166812817129<17> × 126359157928100947<18> × 1152360873133480514282792240863<31> × 206322466342241875282906162888903<33> × 7127418674957096755143841009798054712441<40> × 111905224102024472220709663633430168972944131449908788057437916712237327242895054624470174727300235211031291<108> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:273510499 for P31, B1=1000000, sigma=1:2467286741 for P33 / June 24, 2022 2022 年 6 月 24 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:1438590664 for P40 x P108 / July 30, 2022 2022 年 7 月 30 日)
29×10250+169 = 3(2)2494<251> = 24 × 6338947071121014065707<22> × 4804519365870031876222864341517<31> × [66125418252340878570622352090608536208532001308107278371794286817002676131821132317736521742858168063158913747561098694378327195576510670935883787416230125333150342522791140098958835479365646558231<197>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2495696902 for P31 / June 24, 2022 2022 年 6 月 24 日) Free to factor
29×10251+169 = 3(2)2504<252> = 24 × 3 × 7 × 53 × 77023 × 234919956277384676008071764154424099909631185635731202737774408721018885735673345549248826363552447576847051740485924198263002232118048785405436285754073702246007553488607297822335036164083552281000776537150259383192011255326819729415474523711<243>
29×10252+169 = 3(2)2514<253> = 24 × 859 × 18919 × 28549 × 856351 × 67140107 × [7549521493979738962537263501522743914905998278892898649348261983311980451845725930697799280299386680209028982392097138483818150807621694371853894698755611829649559023282975157533639604737679831087517578575293937366745636164613<226>] Free to factor
29×10253+169 = 3(2)2524<254> = 24 × 61 × 137 × 68245783 × 206457170895564344438953586836687<33> × 17103276266921133559390084788640512312886183439359125053779301590365521290880109586977501800537412404113300691294258522871803407112021537553325478558980472939206195956939566662679800746192027962796743507804237<209> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:608828976 for P33 x P209 / June 24, 2022 2022 年 6 月 24 日)
29×10254+169 = 3(2)2534<255> = 24 × 32 × 82787056328401291572611<23> × [27029035941455437282987391154630783477023646816808322200245572006614388770838901158519083696487015502079156321716764116892982257068858943213776135932387312213195163896645034645628720596953123969869360733449110111296406353215399611<230>] Free to factor
29×10255+169 = 3(2)2544<256> = 24 × 13 × 2834243737866878813914699<25> × 629662705497017709221344012146971<33> × 8680544876875673701206903709367141340622968021015672833409777952266942962836639506275273671988506236027968786994864495465880710283366022858459443388925764359994175264056110540631010526878868755157<196> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4011335642 for P33 x P196 / June 24, 2022 2022 年 6 月 24 日)
29×10256+169 = 3(2)2554<257> = 24 × 19 × 230457067 × 1424439764327911<16> × [322884937413781017817653875348317520510166634118143082191068715521344877840664232327318429432290394137114603260151345886901185549448434456725341224768229487485711075099292524369622840928715559481141980911363405014310115817346365263<231>] Free to factor
29×10257+169 = 3(2)2564<258> = 24 × 3 × 72 × 17 × 23 × 103 × 22340467 × 122686929837487<15> × 1035188150534974319573<22> × 967761862112643332546517458438393<33> × [1238870317380843288242764742470192587565048964443744251446453353865948804966742045674456938717594118841933677928988055037925885319192740334933518885892649003112110657780703499<175>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:509436209 for P33 / June 24, 2022 2022 年 6 月 24 日) Free to factor
29×10258+169 = 3(2)2574<259> = 24 × 31 × 7129 × 410890817 × 2217781528199888700517464674093972983870494108520314751977059764796635045502348730182262748180485096525664389469610404242890045510393370813396676334530904440642128506614202343988765477171851145633963957751263900977337411032659256043877316257983<244>
29×10259+169 = 3(2)2584<260> = 24 × 487 × [4135295459730778005932010038786219484371435090120921743098334474104494638375541866301619895049053159936116814966917636322153775952543919689710244125028519279032626055213324207164042892995665069587040839607574720511065480264658909422769792379648642482318047<256>] Free to factor
29×10260+169 = 3(2)2594<261> = 24 × 3 × 211 × 1999 × 15915452899347690345084776897839827408877336684842333401209995905447896846439719772120569675745367856826429714769619319050432711528662347673749109063922868929637716874937380924971876845918131963998499161815417099457223784790411705765117067924869930137967<254>
29×10261+169 = 3(2)2604<262> = 24 × 13 × 137 × 1319 × 15230023 × 95623413209<11> × [58865656266142270281723812968969815768866742868803417170475073239129661094203151662223422142878911316387768780649778947521901987830053951811761577119769120296933148375259109938038292518297092594910190707757867615981856003045071327371693<236>] Free to factor
29×10262+169 = 3(2)2614<263> = 24 × 208001 × 107903203 × 135994901734067590478101<24> × 23703208684903840701924394517<29> × [27835945579552758606840064189098887287503935810329518597588839318017618386850968376594349878994544407434044596320336812424078300440240262104534147790151558367616543130464549561839645701458642900939<197>] Free to factor
29×10263+169 = 3(2)2624<264> = 24 × 32 × 7 × 613 × 50053 × 22203707 × 2027885541911<13> × 10252546507778640620618926584131447<35> × [22568551943850507471468863341884375092238473274998956432455071924570193122531960211371092456763147865602713981539785736316862366986051360018115479225895620604487196834804814921111469924650724624981533<200>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1674154575 for P35 / June 24, 2022 2022 年 6 月 24 日) Free to factor
29×10264+169 = 3(2)2634<265> = 24 × 53 × 135799 × [27980989229627095774163575674326788591530863926511934034705967197203204026273693471898588311622169792409465444543508724657695243662545225190460997488225715515576626900007584584832284574981432587436577517922769166039776724519310919549785342972749387918755187<257>] Free to factor
29×10265+169 = 3(2)2644<266> = 24 × 43 × 1873 × 4527587549<10> × 8526642271799<13> × 12646921188627627423469<23> × 51215281112336496420152334811612337620439931768205394899450490759326375301820865267045771943964967266324619297083979260271145546142112378250614752367694094805924641627558689767841700971953998912798575410106207870629<215>
29×10266+169 = 3(2)2654<267> = 24 × 3 × 149 × 10451527 × 2356169677<10> × 1829539006922148103017479580191602047290881415566085357631842952174265627591913827500397791706520683786907559275858879388087580256424796723842437473202815616173587510196289806788940873364133746735304722634833797596711790358277683260494816638685253<247>
29×10267+169 = 3(2)2664<268> = 24 × 13 × 761 × [20356705639228635286453946112290396127452632051843615575547244404011815312735155047901434235205588687848871817334366611633365904062356099149791659647112997967137257544616283118254208924379752237833709581409975628109662275233891528241068319911946718779833103091973<263>] Free to factor
29×10268+169 = 3(2)2674<269> = 24 × 176544444001<12> × 11407262914926292588250257234380248362018736995919679873318297170629570147890121757334933560024998324664716667969591680953263514811803567004788240868594542958374234342546144666814565652499799558894014752058665035852559731945097797339596770836635856510172889<257>
29×10269+169 = 3(2)2684<270> = 24 × 3 × 7 × 137 × 1103 × 4740497765513233<16> × 1186752469931735882213639<25> × 1128069977383187545946742805780237278199891240495815292351273533791461904227845306160833442845951469227171103232055213310878841654718232558628751505231285898836237464419475654910373820220608674145526372619931714088386316437<223>
29×10270+169 = 3(2)2694<271> = 24 × 8629 × 18967999 × 64535217683<11> × [19065874915117065683136059087010376604298065555538751302918992174264748882649199759597259891219441480854287040242935918469634518383493204324708824310957399117946250429005193001634603392990472530671885455701804917724415368918976923123774609865642473<248>] Free to factor
29×10271+169 = 3(2)2704<272> = 24 × 139 × 14488409272581934452438049560351718625099920063948840927258193445243804956035171862509992006394884092725819344524380495603517186250999200639488409272581934452438049560351718625099920063948840927258193445243804956035171862509992006394884092725819344524380495603517186251<269>
29×10272+169 = 3(2)2714<273> = 24 × 33 × 163 × 563 × 1178622947<10> × 3303956646590903<16> × 3133681059798882409<19> × 10859816434880739077027<23> × 7077825682902563200407729379<28> × 20124454876428340352196363011543<32> × 16092757473678543210156914182443229511068596637<47> × 26756837383274047162419125174748417109352861318021714894221950286210350823229057169201489936229<95> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4079220817 for P32 / June 24, 2022 2022 年 6 月 24 日) (Ignacio Santos / GMP-ECM B1=43000000, sigma=1:1885401542 for P47 x P95 / December 22, 2022 2022 年 12 月 22 日)
29×10273+169 = 3(2)2724<274> = 24 × 13 × 17 × 31 × 63429625950310027<17> × 4385184718164125750452379<25> × 10733108716899653750821524709<29> × 9846365833196739170143338709914859264086771814513353949818644940257703636713984574829760431778132586081088602181343451159718255630025214074912895853945772007726077381168242118832548706551630442213887<199>
29×10274+169 = 3(2)2734<275> = 24 × 19 × 1097 × 78484705240035193151595191267341847027<38> × [1231091253259122381031430515209218564962670304281944585054516728832069710004739055012043983143596418307048015694143023456611053162241471244325738077865130934758098490260455547199740569656180197094220784690526685311047506542516548649<232>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2182758031 for P38 / June 24, 2022 2022 年 6 月 24 日) Free to factor
29×10275+169 = 3(2)2744<276> = 24 × 3 × 7 × 2273871081058470039116759<25> × 3112533160868256182330168011<28> × 135499092203771981207691862336486248364160027596662143865678818200574821159541938431435108390332904195890470771774328797202988265351066844667460855215281241946489351012556092696944509232079332006590112357361851558406715641<222>
29×10276+169 = 3(2)2754<277> = 24 × 14321 × 181667 × 164712241 × 18656318311<11> × [25190355560854155887503294497316575596593739780342132721513792258618204269690820259015218237674765429222525098247314689272090213603789914612017214169177731941674239531897760413247765035061438169738733207999455346300685639587094505767475424413493877<248>] Free to factor
29×10277+169 = 3(2)2764<278> = 24 × 53 × 137 × 138898153 × 26554812248893<14> × 410125349248861<15> × 1749710982000182647<19> × [104789177669260953926187543801033015845091745791624608243592795746123822095392109096438055161015680585366953699360120526146052193114366645674776816647233151524901696219156310162754983963980366554039735975356717185392043<219>] Free to factor
29×10278+169 = 3(2)2774<279> = 24 × 3 × 859 × 31221559 × 26744434384667<14> × 1953730030319593<16> × 289181372658089929<18> × [16565258516128996175610434144056687869713310048133631277820973774934380784090069569672956973035794126860015237066260856252758806163563194314472470683387772251933079339251308088997392127893770341382295206266931749729909277<221>] Free to factor
29×10279+169 = 3(2)2784<280> = 24 × 13 × 23 × 28486363 × 84142076399046259136723908465189<32> × [281005026386110182253320890795153522449278049519409670596744203103377123725782705149932970336657303029533684092535098602467030952673137895504832771805470552656941227795461480433489144551731063634168418377164117910835152029004722772881373<237>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3835324492 for P32 / June 24, 2022 2022 年 6 月 24 日) Free to factor
29×10280+169 = 3(2)2794<281> = 24 × 55153065970738431313367715191<29> × [36514541004073311872461108501364041110326084262984337922039356007022655381599585575152903105368392287362474166435496755175747220854163292933760323806841681417164032955030117527090164525125967200187324271725913442503130106024463364152081955268007996879<251>] Free to factor
29×10281+169 = 3(2)2804<282> = 24 × 32 × 7 × 30029 × 32935256775092123213982887<26> × 323216135010413276660667020104836993469404477307534915007513913603392013300410977439945287723634824478339645119139047240221160096187064776852760983666424269218215413162569095381074657906886593703764994999586969425022609326998839164821228015922778661<249>
29×10282+169 = 3(2)2814<283> = 24 × 1101127 × 56864342719<11> × 367053354648162121811723<24> × 8762516984324562678611227756531286999527215183235912254738049554192711277240939872048926317789503121733272141850138495994838084761771215533346826546261836396101590929462769611076094325446018463472574459933666017976075047262154924431478125411<241>
29×10283+169 = 3(2)2824<284> = 24 × 13597 × 17317 × 63391 × 8541991019<10> × 115856038544822813<18> × [136337197747459624580771326533515379018882551569872512265640721827805641395417185869671368605458543646069239518061096656068731992471227518552324863131153153047828657914823083374940329174211386241501392809313515085980666137465125360494255016393<243>] Free to factor
29×10284+169 = 3(2)2834<285> = 24 × 3 × 47 × 516991 × [276269798143445312166344677837017491310827089296750297886290335560101439807070305514720593019211082318234642422186408815749291119515474628944853970788617084982505887606626633442895152377152084377737962307955851199144829055749353674619010115817192215122842912280952212261770019<276>] Free to factor
29×10285+169 = 3(2)2844<286> = 24 × 132 × 137 × 39402757 × 1133348233649533155880130777<28> × 4685315270615166775318411029929<31> × [41571857705589875323385385740902841104386711895207040129596093058559934004017392333811508994600304942923980797640015087830418568789093352623169943695613180612935779287313246878631643536666292026077006787942328017973<215>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1086705808 for P31 / June 24, 2022 2022 年 6 月 24 日) Free to factor
29×10286+169 = 3(2)2854<287> = 24 × 43 × 277 × 307 × 946015603216097<15> × 64736526624416411279243<23> × 103973176040756799290186419<27> × [86492789056131442846673688566529922012998608600441509225435390900297347473327295446921371109198791396271353667883507608792913942176992461975754467504260261974212283243718927871519846977428938893689799707060472978293<215>] Free to factor
29×10287+169 = 3(2)2864<288> = 24 × 3 × 7 × 269 × 72602352312400399<17> × 707962899392022395648005709<27> × [69358986721079286718941039009385505119388817979729274226661260587573080982253187932758249536037556843221076172745709558172654927019286237022398408825123249203158453777804425515417787901198970996569232441340131275860793669757235976718985571<239>] Free to factor
29×10288+169 = 3(2)2874<289> = 24 × 31 × 479 × 26197731277<11> × 28535151239555141<17> × 74215486570496058302653381501<29> × 244455547728848860195468263283680521696736622806304998694680701727900028930017643749574065984129518128137313960997434216118175429848822681294335695840604368959988101234828831285919642072103199497683191663757794667179983597660973<228>
29×10289+169 = 3(2)2884<290> = 24 × 17 × 113 × 670297477543<12> × 8696958999690331<16> × 316054865844715779149<21> × [568997885235427129188664122289865998710634394448471274969544379474588893699171828304308544660976413896218567494421771793168436518453778837905917750609147686718441054530156494926421127946938706438431350434787220936350559370170741274883777<237>] Free to factor
29×10290+169 = 3(2)2894<291> = 24 × 32 × 53 × 211 × 2767 × 144701 × 499751354490091139686957142516753086375264112429006524797161380038311496409988604200712186489217540595640387899148001202529060343730010387921899378979563311344040962121092318666204759913289281173371422659732863315836850981117214054530651871713363225615158636462706549013894661<276>
29×10291+169 = 3(2)2904<292> = 24 × 13 × 103 × 1603432526478959373861529<25> × [93800302628245681434244276209067532818524686173485551304308342426962390399885868791295107351883823475293997780544640282335106482231264863824078097759455233750983120788096039794644488394098069476202726951629139046679003212329905326310455441291019831314026198001619<263>] Free to factor
29×10292+169 = 3(2)2914<293> = 24 × 19 × [105994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625730994152046783625731<291>] Free to factor
29×10293+169 = 3(2)2924<294> = 24 × 3 × 7 × 137 × 863 × 331781 × 560618899 × 730071599828630681<18> × 12990951211872476211227239<26> × [4597896553558176348741801691546957487415983482103242901021045757282463097148922115941990514037859919485943734310262303604600579390500765950649761819444235456832161408387000853874915816099025474578720321212724892086469519103249859<229>] Free to factor
29×10294+169 = 3(2)2934<295> = 24 × 26861 × 155863 × 271451 × 600432799 × 610978429 × 5283341849546737<16> × [91428133712416255163543099563123970874060690354402166083164492939253427157812670248745276838536871633030782543365364936830292827850893552404457781017350228052644941814324184015053514827190632639112598726000651191673110739827069711648896585437099<245>] Free to factor
29×10295+169 = 3(2)2944<296> = 24 × 2309 × 190807 × 38241989 × [119529966376865969068456358351828178110860026561393567200544503827462785012236316191081918032414936988567649948595679294876409451011547914893076152560693067910703620778630927441932396539385859792742137372403709384362433222398146740683751875879681214251137444235312160455471205127<279>] Free to factor
29×10296+169 = 3(2)2954<297> = 24 × 3 × 2693 × 481697 × [5174923762759741248532154966264296969197529012122057113651423883783706110425555341098434948771462630385402305617066276859237246798113474458707533344720409743861331890653782548109812175867367095341736465789268646856192427581441696990223114351783875837760709807963288130475337241449634903<286>] Free to factor
29×10297+169 = 3(2)2964<298> = 24 × 13 × 174299 × 51938371 × 17612693824195396853<20> × 166486842905236706382641<24> × [583583803882036617467805793679496401303399337931653167469699524192923403285474332390534604992154163495694594094652350566093600121782457363645158343586630712619118584073714501151707931286898813172106891305330446445447044795069225512498795209<240>] Free to factor
29×10298+169 = 3(2)2974<299> = 24 × 66151719209<11> × 2359337080787<13> × [12903406431971980236052409564256691271738364254255126166118075496516260399292080026777102752984364674057971877175560773956243628859565289134532667322205772457483734140757222466722027056577670167915061239137592438462375957368157876987548853804676342840458891829443567690636683<275>] Free to factor
29×10299+169 = 3(2)2984<300> = 24 × 33 × 72 × 59 × 159541 × 347014081443960477640707223<27> × [4660196633077762823456200370532386036409170740678130969732379899033344724478409803172713953498148846185930990353012257265753295303080909402063606615991699496600341287474103105274037040210051251838132537923868972559779364069494075993368468475340510226825824456539<262>] Free to factor
29×10300+169 = 3(2)2994<301> = 24 × 303098090020028249<18> × [664434701240055406644800864402710563505088948096237276418565926145215967204336039659453521488424683100417652641782177306969396072481870106702420811712130010351224030218078895043177871814762200319021309784933486912471485929085428295840365040598416154997508236132323366195016008059361<282>] Free to factor
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