Factorization of 800...005

Table of contents 目次

About 800...005 800...005 について
Prime numbers of the form 800...005 800...005 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
Factor table of 800...005 800...005 の素因数分解表

1. About 800...005 800...005 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

80w5 = { 85, 805, 8005, 80005, 800005, 8000005, 80000005, 800000005, 8000000005, 80000000005, … }

2. Prime numbers of the form 800...005 800...005 の形の素数

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

No prime number of the form 800...005 exists. 800...005 の形の素数は存在しません。

3. Factor table of 800...005 800...005 の素因数分解表

3.2. Range of factorization 分解範囲

n≤100 / Completed 終了 / December 19, 2021 2021 年 12 月 19 日
n≤150 / Completed 終了 / December 19, 2021 2021 年 12 月 19 日
n≤200 / Completed 終了 / December 28, 2021 2021 年 12 月 28 日
n≤300 / Remaining 48 残り 48

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

n=208, 209, 210, 211, 215, 216, 218, 228, 233, 235, 236, 238, 239, 240, 242, 244, 245, 246, 251, 253, 255, 256, 257, 259, 260, 262, 263, 268, 269, 270, 273, 274, 275, 277, 280, 281, 282, 284, 285, 286, 287, 288, 289, 295, 296, 297, 298, 299 (48/300)

3.4. Factor table 素因数分解表

8×10¹+5 = 85 = 5 × 17

8×10²+5 = 805 = 5 × 7 × 23

8×10³+5 = 8005 = 5 × 1601

8×10⁴+5 = 80005 = 5 × 16001

8×10⁵+5 = 800005 = 5 × 160001

8×10⁶+5 = 8000005 = 5 × 13 × 123077

8×10⁷+5 = 80000005 = 5 × 109 × 229 × 641

8×10⁸+5 = 800000005 = 5 × 7 × 1453 × 15731

8×10⁹+5 = 8000000005_<10> = 5 × 1889 × 847009

8×10¹⁰+5 = 80000000005_<11> = 5 × 13219 × 1210379

8×10¹¹+5 = 800000000005_<12> = 5 × 89 × 1797752809_<10>

8×10¹²+5 = 8000000000005_<13> = 5 × 13 × 301211 × 408607

8×10¹³+5 = 80000000000005_<14> = 5 × 233 × 68669527897_<11>

8×10¹⁴+5 = 800000000000005_<15> = 5 × 7³ × 19 × 419 × 997 × 58771

8×10¹⁵+5 = 8000000000000005_<16> = 5 × 461 × 3470715835141_<13>

8×10¹⁶+5 = 80000000000000005_<17> = 5 × 37013 × 432280550077_<12>

8×10¹⁷+5 = 800000000000000005_<18> = 5 × 17 × 10289 × 37313 × 24515329

8×10¹⁸+5 = 8000000000000000005_<19> = 5 × 13 × 54660241 × 2251671797_<10>

8×10¹⁹+5 = 80000000000000000005_<20> = 5 × 16000000000000000001_<20>

8×10²⁰+5 = 800000000000000000005_<21> = 5 × 7 × 251 × 26019971 × 3499785383_<10>

8×10²¹+5 = 8000000000000000000005_<22> = 5 × 241 × 621833 × 10676506633417_<14>

8×10²²+5 = 80000000000000000000005_<23> = 5 × 16000000000000000000001_<23>

8×10²³+5 = 800000000000000000000005_<24> = 5 × 61 × 8629 × 303969268706933729_<18>

8×10²⁴+5 = 8000000000000000000000005_<25> = 5 × 13² × 23 × 21277 × 19346172170606299_<17>

8×10²⁵+5 = 80000000000000000000000005_<26> = 5 × 512907936977_<12> × 31194682020913_<14>

8×10²⁶+5 = 800000000000000000000000005_<27> = 5 × 7 × 197 × 1973 × 176089 × 333961500818327_<15>

8×10²⁷+5 = 8000000000000000000000000005_<28> = 5 × 29 × 3061 × 54838008521_<11> × 328682801849_<12>

8×10²⁸+5 = 80000000000000000000000000005_<29> = 5 × 4729 × 10670303899_<11> × 317083672775531_<15>

8×10²⁹+5 = 800000000000000000000000000005_<30> = 5 × 29253717169_<11> × 5469390405180750929_<19>

8×10³⁰+5 = 8000000000000000000000000000005_<31> = 5 × 13 × 653 × 188479208387324773235952409_<27>

8×10³¹+5 = 80000000000000000000000000000005_<32> = 5 × 9631090069_<10> × 1661286509146029252029_<22>

8×10³²+5 = 800000000000000000000000000000005_<33> = 5 × 7 × 19 × 263 × 7687 × 595053086415212133468637_<24>

8×10³³+5 = 8000000000000000000000000000000005_<34> = 5 × 17 × 1297 × 1831843812353_<13> × 39613447798577633_<17>

8×10³⁴+5 = 80000000000000000000000000000000005_<35> = 5 × 40258489 × 42243281 × 9408163795041298489_<19>

8×10³⁵+5 = 800000000000000000000000000000000005_<36> = 5 × 1975610849_<10> × 80987609518842037903791649_<26>

8×10³⁶+5 = 8000000000000000000000000000000000005_<37> = 5 × 13 × 91367 × 1347061007551118860453740662131_<31>

8×10³⁷+5 = 80000000000000000000000000000000000005_<38> = 5 × 16000000000000000000000000000000000001_<38>

8×10³⁸+5 = 800000000000000000000000000000000000005_<39> = 5 × 7 × 809 × 605993929 × 46623529529109612697589863_<26>

8×10³⁹+5 = 8000000000000000000000000000000000000005_<40> = 5 × 641 × 2496099843993759750390015600624024961_<37>

8×10⁴⁰+5 = 80000000000000000000000000000000000000005_<41> = 5 × 127 × 223 × 15161 × 21439877183_<11> × 1738045964731440857687_<22>

8×10⁴¹+5 = 800000000000000000000000000000000000000005_<42> = 5 × 40433 × 87697 × 301073 × 149874404262566407609607537_<27>

8×10⁴²+5 = 8000000000000000000000000000000000000000005_<43> = 5 × 13 × 47 × 41906149837_<11> × 62488631095734655788983047543_<29>

8×10⁴³+5 = 80000000000000000000000000000000000000000005_<44> = 5 × 20441 × 61909 × 304081 × 41579069938617646087906451509_<29>

8×10⁴⁴+5 = 800000000000000000000000000000000000000000005_<45> = 5 × 7 × 15287 × 792580081 × 1886498757726410353292660932369_<31>

8×10⁴⁵+5 = 8000000000000000000000000000000000000000000005_<46> = 5 × 2297 × 696560731388767958206356116673922507618633_<42>

8×10⁴⁶+5 = 80000000000000000000000000000000000000000000005_<47> = 5 × 23 × 59 × 7923611 × 3574614143_<10> × 40433351011_<11> × 10295515183401131_<17>

8×10⁴⁷+5 = 800000000000000000000000000000000000000000000005_<48> = 5 × 22189 × 23509 × 306724238218292116845271966928087798801_<39>

8×10⁴⁸+5 = 8000000000000000000000000000000000000000000000005_<49> = 5 × 13 × 123076923076923076923076923076923076923076923077_<48>

8×10⁴⁹+5 = 80000000000000000000000000000000000000000000000005_<50> = 5 × 17 × 433 × 739649289409_<12> × 2938713990682201683945009917662849_<34>

8×10⁵⁰+5 = 800000000000000000000000000000000000000000000000005_<51> = 5 × 7 × 19 × 500265993251_<12> × 157625998365601_<15> × 15255958887290769972847_<23>

8×10⁵¹+5 = 8(0)₅₀5_<52> = 5 × 149 × 241 × 769 × 1549 × 24421 × 1531706200705139641196593880052958189_<37>

8×10⁵²+5 = 8(0)₅₁5_<53> = 5 × 187538357 × 85315880206842166160173835798294852289870493_<44>

8×10⁵³+5 = 8(0)₅₂5_<54> = 5 × 2452303417_<10> × 65244781249676821699751356665014180828831753_<44>

8×10⁵⁴+5 = 8(0)₅₃5_<55> = 5 × 13 × 1277 × 1583 × 3917 × 25176623 × 18231621011_<11> × 2143112545339_<13> × 15800961212173_<14>

8×10⁵⁵+5 = 8(0)₅₄5_<56> = 5 × 29 × 89 × 3565381 × 1666328249_<10> × 1043435180725832143055809846900759009_<37>

8×10⁵⁶+5 = 8(0)₅₅5_<57> = 5 × 7² × 319414518836863_<15> × 10222785533793140303253235096459012354223_<41>

8×10⁵⁷+5 = 8(0)₅₆5_<58> = 5 × 18353 × 721921 × 230581313 × 1514042111357592689_<19> × 345908457137299827361_<21>

8×10⁵⁸+5 = 8(0)₅₇5_<59> = 5 × 157 × 8317 × 12253315862147133221879214470553367402656978378258329_<53>

8×10⁵⁹+5 = 8(0)₅₈5_<60> = 5 × 160000000000000000000000000000000000000000000000000000000001_<60>

8×10⁶⁰+5 = 8(0)₅₉5_<61> = 5 × 13 × 647 × 717730425397093_<15> × 938197746509274157_<18> × 282498800001484553379091_<24>

8×10⁶¹+5 = 8(0)₆₀5_<62> = 5 × 929 × 93809 × 3268241 × 19212637896233_<14> × 2923874251158999335930712421317497_<34>

8×10⁶²+5 = 8(0)₆₁5_<63> = 5 × 7 × 2387178157659721_<16> × 8853519221259481_<16> × 1081486682987506003576537710743_<31>

8×10⁶³+5 = 8(0)₆₂5_<64> = 5 × 48742031711502289_<17> × 32825878278324357607027915561111427453043554609_<47>

8×10⁶⁴+5 = 8(0)₆₃5_<65> = 5 × 1413508055263_<13> × 13679353895652454551691_<23> × 827477339884640753654111182397_<30>

8×10⁶⁵+5 = 8(0)₆₄5_<66> = 5 × 17 × 257 × 2273 × 6886980593383697_<16> × 2339427781623486030020078625534850896990209_<43>

8×10⁶⁶+5 = 8(0)₆₅5_<67> = 5 × 13 × 7207 × 15241 × 1120491703469397579841986173060947841537690654175697809371_<58>

8×10⁶⁷+5 = 8(0)₆₆5_<68> = 5 × 761 × 1045021 × 2871901 × 8218201 × 852440517837863486568280578131055952266865321_<45>

8×10⁶⁸+5 = 8(0)₆₇5_<69> = 5 × 7 × 19 × 23 × 785302430115188171_<18> × 66604498756780837326206329989522802352516937809_<47>

8×10⁶⁹+5 = 8(0)₆₈5_<70> = 5 × 1600000000000000000000000000000000000000000000000000000000000000000001_<70>

8×10⁷⁰+5 = 8(0)₆₉5_<71> = 5 × 251 × 1051 × 60651779182034943006281249881539493785088001940856933825118176201_<65>

8×10⁷¹+5 = 8(0)₇₀5_<72> = 5 × 641 × 2581864801_<10> × 142175447969_<12> × 92120820104981_<14> × 269290116786641_<15> × 27411048041640767789_<20>

8×10⁷²+5 = 8(0)₇₁5_<73> = 5 × 13 × 167 × 6971 × 105721928465767999439145169489100762975334875860320452415848483561_<66>

8×10⁷³+5 = 8(0)₇₂5_<74> = 5 × 113 × 3840052426337_<13> × 60034374391758284440817_<23> × 614192340717951836009299966567778113_<36>

8×10⁷⁴+5 = 8(0)₇₃5_<75> = 5 × 7 × 10025986583_<11> × 5185228150343_<13> × 83468980292227441_<17> × 5267467266838419362828075648200967_<34>

8×10⁷⁵+5 = 8(0)₇₄5_<76> = 5 × 257064881 × 32637689833561_<14> × 1515611078159524361_<19> × 125825901699228307607640597508798001_<36>

8×10⁷⁶+5 = 8(0)₇₅5_<77> = 5 × 557 × 19213 × 1356007 × 10716543772858303_<17> × 102885205898988985725371516311756023337352123041_<48>

8×10⁷⁷+5 = 8(0)₇₆5_<78> = 5 × 1140281426009833_<16> × 140316238035977857304317986610023621692899203400594303930161497_<63>

8×10⁷⁸+5 = 8(0)₇₇5_<79> = 5 × 13 × 823 × 14323153866274364656933_<23> × 10440904845569733793290472308567449654056112431014503_<53>

8×10⁷⁹+5 = 8(0)₇₈5_<80> = 5 × 16000000000000000000000000000000000000000000000000000000000000000000000000000001_<80>

8×10⁸⁰+5 = 8(0)₇₉5_<81> = 5 × 7 × 691 × 156599243946204089061462703_<27> × 211229336223578888906498828140355641768857029542691_<51>

8×10⁸¹+5 = 8(0)₈₀5_<82> = 5 × 17 × 241 × 388673 × 73345889 × 13699157832232126938469201013061852740648917422557572745607701089_<65>

8×10⁸²+5 = 8(0)₈₁5_<83> = 5 × 127 × 9642318169872872564089824172339_<31> × 13065763828675335452202925284576286565783647811717_<50> (John / ECM for P31 x P50 / December 19, 2021 2021 年 12 月 19 日)

8×10⁸³+5 = 8(0)₈₂5_<84> = 5 × 29 × 61 × 10170186086928088708821496426220569_<35> × 8893306298981754967785863754823728186823391041_<46> (John / ECM for P35 x P46 / December 19, 2021 2021 年 12 月 19 日)

8×10⁸⁴+5 = 8(0)₈₃5_<85> = 5 × 13 × 9140812259_<10> × 7910000265491_<13> × 427941895971632194494753344533_<30> × 3977686365227149232456970295001_<31> (John / ECM for P30 x P31 / December 19, 2021 2021 年 12 月 19 日)

8×10⁸⁵+5 = 8(0)₈₄5_<86> = 5 × 16000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<86>

8×10⁸⁶+5 = 8(0)₈₅5_<87> = 5 × 7 × 19 × 5082521 × 8154253 × 1046505583319971_<16> × 27737251740645505006663291182642078006612839884942539139_<56>

8×10⁸⁷+5 = 8(0)₈₆5_<88> = 5 × 10069 × 33289 × 47036029 × 195001341248219458549_<21> × 520432781699389114286106759107704983207420674085941_<51>

8×10⁸⁸+5 = 8(0)₈₇5_<89> = 5 × 47 × 35521 × 37015457357147790529_<20> × 258912978734313259113558524301678753733515902850004940815492687_<63>

8×10⁸⁹+5 = 8(0)₈₈5_<90> = 5 × 97 × 26988769 × 207187471828619363280721_<24> × 294986187668289586048705323228668089469292238256418607217_<57>

8×10⁹⁰+5 = 8(0)₈₉5_<91> = 5 × 13 × 23 × 1373 × 12416249 × 1001459186710064920966367_<25> × 313440122773781586919159381014875656497506163018210761_<54>

8×10⁹¹+5 = 8(0)₉₀5_<92> = 5 × 374713931645698181_<18> × 42699239736643734689346848612474297820656611744573119623102296770139142221_<74>

8×10⁹²+5 = 8(0)₉₁5_<93> = 5 × 7 × 739 × 30929827952832012371931181132804948772472453121979508988981248791803595592499516721438237_<89>

8×10⁹³+5 = 8(0)₉₂5_<94> = 5 × 148721 × 337817 × 2962370321_<10> × 21660660401_<11> × 9819506077206987772820219737_<28> × 50543521853570672744280190023973409_<35>

8×10⁹⁴+5 = 8(0)₉₃5_<95> = 5 × 4898779321_<10> × 947076025529_<12> × 37753420563474780670401823648994579_<35> × 91346299355399201745352286254069207691_<38> (John / ECM for P35 x P38 / December 19, 2021 2021 年 12 月 19 日)

8×10⁹⁵+5 = 8(0)₉₄5_<96> = 5 × 160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<96>

8×10⁹⁶+5 = 8(0)₉₅5_<97> = 5 × 13 × 2697059 × 45633752571568911515497778534664268346772140719547876751334295273823478434501033561714103_<89>

8×10⁹⁷+5 = 8(0)₉₆5_<98> = 5 × 17 × 243011285593967037473_<21> × 1800489379651599270214033_<25> × 2151067577544620216692402549838534820234414061854017_<52>

8×10⁹⁸+5 = 8(0)₉₇5_<99> = 5 × 7² × 66129332588362584804252973_<26> × 18815012126290859610099708331_<29> × 2624371183860956077662166656086540187189023_<43>

8×10⁹⁹+5 = 8(0)₉₈5_<100> = 5 × 89 × 181 × 8081 × 205800209 × 59722844311763208548904109987547157659792631293277884116787169757552888200614534341_<83>

8×10¹⁰⁰+5 = 8(0)₉₉5_<101> = 5 × 1327 × 195743 × 97678640261310270378584057331223_<32> × 630613428166193442747755315859938004312214634046649829274967_<60> (John / ECM for P32 x P60 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁰¹+5 = 8(0)₁₀₀5_<102> = 5 × 5441 × 1533083691834641_<16> × 2516486251845080441657_<22> × 1742950529908000543251337_<25> × 4373164057935865918024768152831659569_<37>

8×10¹⁰²+5 = 8(0)₁₀₁5_<103> = 5 × 13² × 14081 × 672356765947146875074852218083959710701692532091378327167961863924235477829245754382190277805209_<96>

8×10¹⁰³+5 = 8(0)₁₀₂5_<104> = 5 × 641 × 1069 × 5622961 × 355911010491691769_<18> × 88638577520971325521_<20> × 128225640867048327929_<21> × 1026549975225003049065642688944949_<34>

8×10¹⁰⁴+5 = 8(0)₁₀₃5_<105> = 5 × 7 × 19 × 59 × 685726931 × 21048331739102839788009252111760676219_<38> × 1412691863908684190925148315170491344348153730334614647_<55> (John / ECM for P38 x P55 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁰⁵+5 = 8(0)₁₀₄5_<106> = 5 × 401 × 372769 × 766273 × 8304413041_<10> × 39734596753_<11> × 52401323441_<11> × 6609226066517676828929_<22> × 122231089770738347304959240196173056609_<39>

8×10¹⁰⁶+5 = 8(0)₁₀₅5_<107> = 5 × 7944281 × 1091093751533_<13> × 4114011233531_<13> × 448681169722533812397115575715563657155680301070079611167154377959507193527_<75>

8×10¹⁰⁷+5 = 8(0)₁₀₆5_<108> = 5 × 280061 × 571304108747737100131757010079946868717886460449687746598062564941209236559178179039566380181460467541_<102>

8×10¹⁰⁸+5 = 8(0)₁₀₇5_<109> = 5 × 13 × 263423 × 6637102258482808830644687452121_<31> × 70395424151629021468439345497421805882988030106491615173977559040391219_<71> (John / ECM for P31 x P71 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁰⁹+5 = 8(0)₁₀₈5_<110> = 5 × 457 × 5335276072729402822073_<22> × 6562161065664671067940399707889571345716071544205158808643131492494254091941424386241_<85>

8×10¹¹⁰+5 = 8(0)₁₀₉5_<111> = 5 × 7 × 15259 × 586848931 × 837254179152887_<15> × 34140834694838354117_<20> × 35309366191407882278832103_<26> × 2528996166541332610933459652883064091_<37>

8×10¹¹¹+5 = 8(0)₁₁₀5_<112> = 5 × 29 × 241 × 11268794288242921_<17> × 3471640919389562504086065341_<28> × 5851843360535299920874927288388696998953618403876915767285328769_<64>

8×10¹¹²+5 = 8(0)₁₁₁5_<113> = 5 × 23 × 727 × 15717629881_<11> × 3088545867223_<13> × 81355523188891453_<17> × 24103359051137276539_<20> × 67237275436228738969_<20> × 149500244644025191171640085769_<30>

8×10¹¹³+5 = 8(0)₁₁₂5_<114> = 5 × 17 × 888934609 × 5888385155564129_<16> × 18026196641413148171038964505901847302481_<41> × 99747250376014773053960852461634902071273547633_<47> (John / ECM for P41 x P47 / December 19, 2021 2021 年 12 月 19 日)

8×10¹¹⁴+5 = 8(0)₁₁₃5_<115> = 5 × 13 × 5801 × 2604343277238847015251293828191331_<34> × 8146583946587388400945960357769447516955339693180954450798554390740351798367_<76> (John / ECM for P34 x P76 / December 19, 2021 2021 年 12 月 19 日)

8×10¹¹⁵+5 = 8(0)₁₁₄5_<116> = 5 × 109 × 6066126449_<10> × 3832632967548232557449_<22> × 6313712393650644595939497753188332866645260625015822960017303760758412844283661389_<82>

8×10¹¹⁶+5 = 8(0)₁₁₅5_<117> = 5 × 7 × 14251 × 195047 × 10220427611_<11> × 191816792582383_<15> × 179046921570813463_<18> × 23426897531949266254280018187976455291114401058138531953975278001_<65>

8×10¹¹⁷+5 = 8(0)₁₁₆5_<118> = 5 × 5281 × 228953 × 265841 × 13286561 × 2458525249_<10> × 18496864197593_<14> × 55748606233729_<14> × 147780160533952914727401343200057979672368588180843320539169_<60>

8×10¹¹⁸+5 = 8(0)₁₁₇5_<119> = 5 × 60255407 × 2633585540087_<13> × 5157600194449_<13> × 234286437734677953661489889_<27> × 83441423926402999723491719404037618739518878854998725302649_<59>

8×10¹¹⁹+5 = 8(0)₁₁₈5_<120> = 5 × 29209 × 2290021 × 250230689 × 9559237620167816846907166160511159060616378995232539238029971995048294777064454197027745338034967381_<100>

8×10¹²⁰+5 = 8(0)₁₁₉5_<121> = 5 × 13 × 251 × 115671909449_<12> × 78180531823960877_<17> × 186984249875355027201597769_<27> × 289982211295764867870944775506852491869240844838939967625964971_<63>

8×10¹²¹+5 = 8(0)₁₂₀5_<122> = 5 × 487125217 × 32845764172377058443270860272462552477549114440527926929309430515480786534604715403185542743109519620701549515553_<113>

8×10¹²²+5 = 8(0)₁₂₁5_<123> = 5 × 7 × 19 × 1643510784653_<13> × 25203905000351607085097276819256901542003152020691_<50> × 29042095517486569883947816109312377252296039128028366883739_<59> (John / ECM for P50 x P59 / December 19, 2021 2021 年 12 月 19 日)

8×10¹²³+5 = 8(0)₁₂₂5_<124> = 5 × 409 × 2389 × 38255901961_<11> × 42803775650065685538419683825599596832072217268227616943954221513683951260722375429522230440062090167552541_<107>

8×10¹²⁴+5 = 8(0)₁₂₃5_<125> = 5 × 127 × 131 × 197 × 277499 × 971197 × 2717720070995507577658815001_<28> × 127438406261451235085246740435211_<33> × 52300390547391392083302059084315274655259655173_<47> (John / ECM for P33 x P47 / December 19, 2021 2021 年 12 月 19 日)

8×10¹²⁵+5 = 8(0)₁₂₄5_<126> = 5 × 459228406728961_<15> × 8100210552990793_<16> × 43012524221199038904246455519583795301269828632115499398336927516961269033271610124143676966137_<95>

8×10¹²⁶+5 = 8(0)₁₂₅5_<127> = 5 × 13 × 293 × 77549538167_<11> × 220200163303_<12> × 221465479107413_<15> × 111072390085105277273823839224675441887985804103953194865235475577189044458787379070653_<87>

8×10¹²⁷+5 = 8(0)₁₂₆5_<128> = 5 × 1889 × 1011589 × 19748969 × 423974267426453912885975421719400499230788050294373344903757377492966549058382786301065130574352525633847323749_<111>

8×10¹²⁸+5 = 8(0)₁₂₇5_<129> = 5 × 7 × 6143 × 14889143 × 46029601084973145077_<20> × 1461397547787177833411_<22> × 564233249833484695614604049_<27> × 6584267484723717660884905720473895886626503431569_<49>

8×10¹²⁹+5 = 8(0)₁₂₈5_<130> = 5 × 17 × 126481 × 1375313 × 307791863329_<12> × 138090049365313_<15> × 12729891523304847688143308532455452757986586002757792899531269074369489291472248410937265713_<92>

8×10¹³⁰+5 = 8(0)₁₂₉5_<131> = 5 × 18397 × 354652201 × 52546726564160573432156043295679447574299_<41> × 46668586625197739334384989022332818476105073813774096853160576545850893394967_<77> (John / ECM for P41 x P77 / December 19, 2021 2021 年 12 月 19 日)

8×10¹³¹+5 = 8(0)₁₃₀5_<132> = 5 × 16804750409_<11> × 252772629951104479210443196416841_<33> × 37666725670753118174361464760331659191608292845767573034355846132018702113533678666958129_<89> (John / ECM for P33 x P89 / December 19, 2021 2021 年 12 月 19 日)

8×10¹³²+5 = 8(0)₁₃₁5_<133> = 5 × 13 × 34367 × 227408466226140037465271614720637_<33> × 15748107777615635627208724919200856219612125005649704092919403799641282079059585207750839599063_<95> (John / ECM for P33 x P95 / December 19, 2021 2021 年 12 月 19 日)

8×10¹³³+5 = 8(0)₁₃₂5_<134> = 5 × 50169017 × 4394635649_<10> × 7468390916953_<13> × 9717050830562193348441552150639239088551158229199374637663690538531516713228129632969490759888151552049_<103>

8×10¹³⁴+5 = 8(0)₁₃₃5_<135> = 5 × 7 × 23 × 47 × 109086169 × 36553370677933_<14> × 121490875910583133_<18> × 580393894724161053811671861836453_<33> × 75202560822528694124110412114761146205724298008394347244211_<59> (John / ECM for P33 x P59 / December 19, 2021 2021 年 12 月 19 日)

8×10¹³⁵+5 = 8(0)₁₃₄5_<136> = 5 × 641 × 7681 × 6724649 × 234452809239241_<15> × 206119521855901985051650593386741100559545697616209642933857439853823463437680902878065803923156116691081809_<108>

8×10¹³⁶+5 = 8(0)₁₃₅5_<137> = 5 × 157 × 183540178699_<12> × 481687175327_<12> × 222316349318386281138428559284074325609690400607_<48> × 5185046961684966126495786632910656715689671011869352144788339263_<64> (John / ECM for P48 x P64 / December 19, 2021 2021 年 12 月 19 日)

8×10¹³⁷+5 = 8(0)₁₃₆5_<138> = 5 × 193 × 10131080177_<11> × 9856658851895736877058633696123729_<34> × 8301894227041520631895618074782041787946588740647903576980938228869275301126345876268393729_<91> (John / ECM for P34 x P91 / December 19, 2021 2021 年 12 月 19 日)

8×10¹³⁸+5 = 8(0)₁₃₇5_<139> = 5 × 13 × 4947116263327998604331_<22> × 413103703863024025470522306801649_<33> × 17159188560060323503274651586418303_<35> × 3509689350323252361232373056697788651498038106561_<49> (John / ECM for P33 x P35 x P49 / December 19, 2021 2021 年 12 月 19 日)

8×10¹³⁹+5 = 8(0)₁₃₈5_<140> = 5 × 29² × 4549 × 88593781 × 696864675900544718032519184074061_<33> × 67741742313791721726358905656584541165625939338854193386310956964513365346935412886904040629_<92> (John / ECM for P33 x P92 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁴⁰+5 = 8(0)₁₃₉5_<141> = 5 × 7² × 19 × 26709582091_<11> × 1162540914484441783237_<22> × 4562896368374955227414542065801871162619641_<43> × 1212982002402612223429783281218089303312283714192798740132122293_<64> (John / ECM for P43 x P64 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁴¹+5 = 8(0)₁₄₀5_<142> = 5 × 241 × 14227121 × 607565337802709709257_<21> × 173603021888748588123206296529_<30> × 5370842060688217354455323801281_<31> × 823745896162845738840760478454819040701668775521737_<51> (John / ECM for P30 x P31 x P51 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁴²+5 = 8(0)₁₄₁5_<143> = 5 × 3840823823_<10> × 1908485247761_<13> × 158396953195050225450424174575346169699_<39> × 13780341018898854580106219704493185973649396730494038829250186099803603739426590133_<83> (John / ECM for P39 x P83 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁴³+5 = 8(0)₁₄₂5_<144> = 5 × 61 × 89 × 3121 × 7649 × 87002689 × 5616252205006731049_<19> × 2526518215315749638360152601620958335937496648309785896550586061139306087779456824356808637033951646104901_<106>

8×10¹⁴⁴+5 = 8(0)₁₄₃5_<145> = 5 × 13 × 1063 × 838837 × 16656169571_<11> × 309596289163716979_<18> × 11346976399161842875387291733_<29> × 210640904609244807569985028050808331_<36> × 11198814334288983881200752110755814036215081_<44> (John / ECM for P36 x P44 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁴⁵+5 = 8(0)₁₄₄5_<146> = 5 × 17 × 2801 × 1059043865777_<13> × 317280954528510878850248171820790907409658228458754774168424878938530085042639550709037508583053777007454918850001767698845137489_<129>

8×10¹⁴⁶+5 = 8(0)₁₄₅5_<147> = 5 × 7 × 22857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143_<146>

8×10¹⁴⁷+5 = 8(0)₁₄₆5_<148> = 5 × 379549 × 112623850711848317672061583275287518589_<39> × 37430166496990454298604518171443685807457214217412991171277026996212995899415849713216459777826992217241_<104> (John / ECM for P39 x P104 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁴⁸+5 = 8(0)₁₄₇5_<149> = 5 × 663145798485929040381340084969_<30> × 35492483531195112969646949327071635139626374281_<47> × 679789685585813273177409849761649034141055585854652722563674001852374609_<72> (John / ECM for P30 x P47 x P72 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁴⁹+5 = 8(0)₁₄₈5_<150> = 5 × 1009 × 862129 × 1487593 × 5655004073_<10> × 7432379289385842688289_<22> × 44735236705005653409373094965504227095681_<41> × 65760015995107716929961800837246565728085492772536468678470641_<62> (John / ECM for P41 x P62 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁵⁰+5 = 8(0)₁₄₉5_<151> = 5 × 13 × 108646169673833369_<18> × 1132823397699267890148546257757199350546827847131379997646508397765633615391150622147144465031441232641017836598243115712965624965133_<133>

8×10¹⁵¹+5 = 8(0)₁₅₀5_<152> = 5 × 16000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<152>

8×10¹⁵²+5 = 8(0)₁₅₁5_<153> = 5 × 7 × 12223571 × 1582548529_<10> × 34689643103_<11> × 4350568680750847_<16> × 79514115915081066822329_<23> × 137254495119837717167315918362411_<33> × 717381436970971689787231550606761591222596702171583663_<54> (John / ECM for P33 x P54 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁵³+5 = 8(0)₁₅₂5_<154> = 5 × 873251056537328500060069630173448405136423921_<45> × 1832233683569102518266268088830610574462520040728718093998298970144926973672652420205044590948245025941214481_<109> (John / ECM for P45 x P109 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁵⁴+5 = 8(0)₁₅₃5_<155> = 5 × 179 × 7013 × 54371 × 11858040883121_<14> × 19768915667723680326703237175158031882431703776484447014423295501152836657982229147753187706630467161960869126189088364891599995493_<131>

8×10¹⁵⁵+5 = 8(0)₁₅₄5_<156> = 5 × 3229 × 6449 × 376889 × 20386660869351497650147531606192336091993108456470360519684187594886583799333270193259677297931629888962784229384960682278767463631597450677229_<143>

8×10¹⁵⁶+5 = 8(0)₁₅₅5_<157> = 5 × 13 × 23 × 1223 × 384369161848246555245642792654497762792056998458533693703563253_<63> × 11383447281157438102220643108934881964825115084535648398102455652796292807824206772339121_<89> (John / ECM for P63 x P89 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁵⁷+5 = 8(0)₁₅₆5_<158> = 5 × 4997339768945922379753_<22> × 1492500040394521413764295198233386561_<37> × 2145194886121833507171569923138473805234087936405630344301386776617883956884322344154111034252035097_<100> (John / ECM for P37 x P100 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁵⁸+5 = 8(0)₁₅₇5_<159> = 5 × 7 × 19 × 4091 × 153887 × 1910895461503431148934516397795786618755274586594436182282713905769543761252274559036731975433572709638074867172520980983985595583734257049119415241_<148>

8×10¹⁵⁹+5 = 8(0)₁₅₈5_<160> = 5 × 1028029 × 11295879419089962157309_<23> × 1203793728699433889565061466717923742021_<40> × 114457035286965962714155183629517219707702100762433746316098790351380553755683303848027405221_<93> (John / ECM for P40 x P93 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁶⁰+5 = 8(0)₁₅₉5_<161> = 5 × 3668840445961_<13> × 42713183289062133626986725426001_<32> × 102100817208804398879402376764709196491699582851553244282218183345162592752659534908284352587163859189637826428033641_<117> (John / ECM for P32 x P117 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁶¹+5 = 8(0)₁₆₀5_<162> = 5 × 17 × 815358860401937_<15> × 11543094903319939400696233441723626007793660029443785566334969995622783366158062740955772277880182929158798613356137613092304352344483155049715169_<146>

8×10¹⁶²+5 = 8(0)₁₆₁5_<163> = 5 × 13 × 59 × 56503 × 27675047 × 1476199117822711343_<19> × 43009791661119210462572964602349517_<35> × 21011277771026916442869218109083290513879072899124275124571186443150177810699854446998145654293_<95> (John / ECM for P35 x P95 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁶³+5 = 8(0)₁₆₂5_<164> = 5 × 389 × 19861 × 371898917809_<12> × 756687722390081_<15> × 26538206658009760289_<20> × 1560132810734057954657629_<25> × 177743826600345786591010621557988878335741054479560306355642657486954495438173825685981_<87>

8×10¹⁶⁴+5 = 8(0)₁₆₃5_<165> = 5 × 7 × 373 × 3041 × 5651 × 32983 × 574969 × 515455562929722459007_<21> × 461823932388346648408850192452214411_<36> × 789894578017448965742739756621546004634007587949016712587886387462893008162543953340619_<87> (John / ECM for P36 x P87 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁶⁵+5 = 8(0)₁₆₄5_<166> = 5 × 3593 × 41434113113_<11> × 1021125177135039121_<19> × 10353974962188794934284285639024329867458579007598909095849097_<62> × 1016526309174580900701762153047984468298302697494909651640443823767452297_<73> (John / ECM for P62 x P73 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁶⁶+5 = 8(0)₁₆₅5_<167> = 5 × 127 × 1811 × 26647 × 28286639140810755255004871806627093237_<38> × 92292867462156148293007317893536466277329117841448315179450081149580716977033834694886191973363844390361535319016918647_<119> (John / ECM for P38 x P119 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁶⁷+5 = 8(0)₁₆₆5_<168> = 5 × 29 × 641 × 14249 × 318607129 × 5569868243281_<13> × 392258732484767907658897383452009_<33> × 867773806689964586424466118922934988146947285342170245798371735112070284220858790543699465334731810996701_<105> (John / ECM for P33 x P105 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁶⁸+5 = 8(0)₁₆₇5_<169> = 5 × 13 × 153570080188924837_<18> × 801438163771950255328915085000928651612575396993916281711847773751671909646914484054452732395205768499659618122351666207867719597965346077281254159521_<150>

8×10¹⁶⁹+5 = 8(0)₁₆₈5_<170> = 5 × 27182393318792897_<17> × 35088564456352523920760691744624024326796752576748479049983057_<62> × 16775160716791858041374001077188867781786030556379111428227298937973524178671823076289769969_<92> (John / ECM for P62 x P92 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁷⁰+5 = 8(0)₁₆₉5_<171> = 5 × 7 × 251 × 4099 × 5623 × 18044010527_<11> × 34696347596165819_<17> × 25471055685199896076150092742360975535105609_<44> × 247764135993742135918882203855697715152856161257398119368435074220019419872951773610421077_<90> (John / ECM for P44 x P90 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁷¹+5 = 8(0)₁₇₀5_<172> = 5 × 241 × 38189 × 605009 × 144174269996121849864109761499597406009521_<42> × 1993035605895861666384167553312977013961985598656342259354846194858077960614822971663121119334956507408473340501796341_<118> (John / ECM for P42 x P118 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁷²+5 = 8(0)₁₇₁5_<173> = 5 × 3413 × 3911543 × 544406336358907136357_<21> × 11501982245706213199170792691_<29> × 9014258929047451033181184143776679498878531398027477847_<55> × 21232918489400391559213787155871279579768949887456632775251_<59> (John / ECM for P55 x P59 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁷³+5 = 8(0)₁₇₂5_<174> = 5 × 2775889 × 162133282520383177_<18> × 348541074515009152913380037841071257_<36> × 1019980210104201865333700975289536795652491214856791586014584190558622768871399145677894332293038553196638833633681_<115> (John / ECM for P36 x P115 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁷⁴+5 = 8(0)₁₇₃5_<175> = 5 × 13 × 4469767 × 2988993076009_<13> × 116262556413940529_<18> × 9066870661032392503_<19> × 1260620184583634095066606671035668484548672593690436829437_<58> × 6932426779553827659164220802942804857894052425823847829340561_<61> (John / ECM for P58 x P61 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁷⁵+5 = 8(0)₁₇₄5_<176> = 5 × 569 × 1049 × 39829 × 169789 × 279960749 × 1978752949_<10> × 516208705429_<12> × 1151160765289_<13> × 2212746182189_<13> × 5441788387270661653142749903964433489382158985963135844773416086486668256410287710087211722521999331272649_<106>

8×10¹⁷⁶+5 = 8(0)₁₇₅5_<177> = 5 × 7 × 19 × 2411 × 15583 × 2181662053_<10> × 252945333281215394407442376550198522838344849_<45> × 50347665326377886551666864474726190313276242985877_<50> × 1152461895390538618568791833411469458683236246197189145277752801_<64> (John / ECM for P45 x P50 x P64 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁷⁷+5 = 8(0)₁₇₆5_<178> = 5 × 17 × 11777 × 3388142837560289_<16> × 678459136535622972017_<21> × 498787142448401602271919756449_<30> × 9977363686278311281730206144849_<31> × 698586078869337557988198740303513180940655229041338406714754999872348869553_<75> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2526348712 for P31 / December 20, 2021 2021 年 12 月 20 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3997118518 for P30 x P75 / December 22, 2021 2021 年 12 月 22 日)

8×10¹⁷⁸+5 = 8(0)₁₇₇5_<179> = 5 × 23 × 695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826087_<177>

8×10¹⁷⁹+5 = 8(0)₁₇₈5_<180> = 5 × 160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<180>

8×10¹⁸⁰+5 = 8(0)₁₇₉5_<181> = 5 × 13² × 47 × 997 × 76001 × 1734167 × 480202545507205244223322989689_<30> × 3192313831671948478339953330763942554452377804370681587907479578066245386817532538950518300177617095265704501590250468435632375570837_<133> (John / ECM for P30 x P133 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁸¹+5 = 8(0)₁₈₀5_<182> = 5 × 3244040059993_<13> × 97709400609281_<14> × 48329361989094218212362446213392115701043988108900979121_<56> × 1044446894681472911906372711729498418437408712020356481428928689481673965179684623528122682626748857_<100> (Eric Jeancolas / cado-nfs-3.0.0 for P56 x P100 / December 24, 2021 2021 年 12 月 24 日)

8×10¹⁸²+5 = 8(0)₁₈₁5_<183> = 5 × 7² × 498103 × 130222189675981933_<18> × 157966961258075497519626981430887432060956077346522849927951842029677_<69> × 318679030748177398793463802598574092973920940954057572476614384259916668246226582215948063_<90> (ebina / Msieve 1.53 for P69 x P90 / December 24, 2021 2021 年 12 月 24 日)

8×10¹⁸³+5 = 8(0)₁₈₂5_<184> = 5 × 117943915049_<12> × 295610614129_<12> × 1099569808836316566809_<22> × 1552289014219282482658201_<25> × 570870356727337816588003031255563835282690929429_<48> × 47096814789556654717703558175788504730760359925234101958462886393621_<68> (John / ECM for P48 x P68 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁸⁴+5 = 8(0)₁₈₃5_<185> = 5 × 127429853 × 29016418373_<11> × 4327180347724612901616186308630564199607128359343723819185018379130280039417539898421393805663271237302184054305209947767520821192854339159799889793627867168949698929_<166>

8×10¹⁸⁵+5 = 8(0)₁₈₄5_<186> = 5 × 97 × 113 × 25848817 × 65100300996985135292553697_<26> × 74128247343441158133397937343525316665756567864452206319976929_<62> × 117020622610182966453341358219246436933300707342057357806967299643397463349417061525121_<87> (Ignacio Santos / GNFS, Msieve for P62 x P87 / December 25, 2021 2021 年 12 月 25 日)

8×10¹⁸⁶+5 = 8(0)₁₈₅5_<187> = 5 × 13 × 379780649 × 454779428287330074879941567_<27> × 2748899026146931334790165322474017414086985853_<46> × 259229366916176955326042640013588629664042711049122387643364896122336205878055421082969693102797048311423_<105> (Eric Jeancolas / cado-nfs-3.0.0 for P46 x P105 / December 26, 2021 2021 年 12 月 26 日)

8×10¹⁸⁷+5 = 8(0)₁₈₆5_<188> = 5 × 89 × 3148670255921_<13> × 20007770738536904311305101_<26> × 1234710391308032985719729892300461021899899349_<46> × 12696079316441154086884777961247546693284459881_<47> × 182041062642232906042394113297627456289572010666657975041_<57> (Eric Jeancolas / cado-nfs-3.0.0 for P46 x P47 x P57 / December 26, 2021 2021 年 12 月 26 日)

8×10¹⁸⁸+5 = 8(0)₁₈₇5_<189> = 5 × 7 × 152172827125328921_<18> × 1394494300841749531_<19> × 5778808277080768619_<19> × 1468995144289071554887_<22> × 12688475439197129366904453899135479895813234048661633852819082138364449179485170454330416224690539026955811946481_<113>

8×10¹⁸⁹+5 = 8(0)₁₈₈5_<190> = 5 × 21121 × 236377 × 359761 × 57743873095201_<14> × 15426958017210554685113290764492902178478012288135080127772381937752958440642577267079892783482732127593559447604972035128355849385502863526348097904667878218873_<161>

8×10¹⁹⁰+5 = 8(0)₁₈₉5_<191> = 5 × 129001 × 149564127039727_<15> × 4375968318834746060929_<22> × 48436524270210622307764423_<26> × 3912481750761236879477317164963722336403268961939367103847280725101186715115356100666039385768223602874132967131989944895889_<124>

8×10¹⁹¹+5 = 8(0)₁₉₀5_<192> = 5 × 160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001_<192>

8×10¹⁹²+5 = 8(0)₁₉₁5_<193> = 5 × 13 × 1699 × 5087 × 169847063 × 1852811921_<10> × 2649710996451503_<16> × 71083964406995452049_<20> × 8393857807824337552979658105503343151940797924411_<49> × 28622026487355221365481363786133218522442821002797724239756958768736919411430774819_<83> (Bob Backstrom / for P49 x P83 / December 24, 2021 2021 年 12 月 24 日)

8×10¹⁹³+5 = 8(0)₁₉₂5_<194> = 5 × 17 × 751653761 × 4714554005353597681_<19> × 1042364441668230560161_<22> × 254796245154348896485068766499802888567034574759370152914800635787968501705532649142576807783872377747046843830623867364642251499784049990601953_<144>

8×10¹⁹⁴+5 = 8(0)₁₉₃5_<195> = 5 × 7 × 19² × 491 × 1571 × 5211087508037_<13> × 512492187777023_<15> × 30735582467559148733273013571385964910957956796279788312810427280401492502956444053669609526003666600779791168426006747698558755514908003636199723605035475533_<158>

8×10¹⁹⁵+5 = 8(0)₁₉₄5_<196> = 5 × 29 × 384031703481621233138792753735941_<33> × 143666299664615730620819377933538583212281342147042639699097319961431705711746548654886224484901887586801791527408040665403526181020178191607072074743056797514609_<162> (John / ECM for P33 x P162 / December 19, 2021 2021 年 12 月 19 日)

8×10¹⁹⁶+5 = 8(0)₁₉₅5_<197> = 5 × 6361 × 41480774714333452553063_<23> × 60638399257813231247167649710695742706084689717544292890472943891690217371145227378753159298573062965336320282582055841511216273034764475712021640007018900368743425426607_<170>

8×10¹⁹⁷+5 = 8(0)₁₉₆5_<198> = 5 × 381859113257_<12> × 4812537936562329533018713_<25> × 155095918799606660231492302329653353_<36> × 71954487269746993565613335910525603113353_<41> × 7801613015704573252488398080646630374522158613239911998655570514867121761236611613329_<85> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1040477464 for P41 / December 20, 2021 2021 年 12 月 20 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:881509218 for P36 x P85 / December 22, 2021 2021 年 12 月 22 日)

8×10¹⁹⁸+5 = 8(0)₁₉₇5_<199> = 5 × 13 × 102751783 × 35839088416029315761_<20> × 2460709631102573475542699060259031760879018612583188612880052813_<64> × 13582194329890579138008882486090296485821589453164223440803257457910506448507476465722914830988974829614383_<107> (Eric Jeancolas / cado-nfs-3.0.0 for P64 x P107 / December 28, 2021 2021 年 12 月 28 日)

8×10¹⁹⁹+5 = 8(0)₁₉₈5_<200> = 5 × 149 × 641 × 1021 × 2089 × 189701641 × 25061621939888896958443061_<26> × 969901967106013680305267189438669_<33> × 114402947862889865214577579953210050552223994551325501_<54> × 148890224678617299234207101338925969290719910077565854671161498063349_<69> (John / ECM for P33 x P54 x P69 / December 19, 2021 2021 年 12 月 19 日)

8×10²⁰⁰+5 = 8(0)₁₉₉5_<201> = 5 × 7 × 23 × 5172317 × 1536490979_<10> × 123092032048568037281_<21> × 1015895453301781470207916040707944125424403521746333912208396823315121251516037649740808935292060027653250428145241312735840638904120725498146692075464049776622727_<163>

8×10²⁰¹+5 = 8(0)₂₀₀5_<202> = 5 × 241 × 1211144378133209969521284929_<28> × 2602014245089287584126122594768397919207261398904010858244469343853281_<70> × 2106674083825410291998850627835258262363742443480624270167232790408453662234431791507518208790805039089_<103> (Bob Backstrom / Msieve 1.54 snfs for P70 x P103 / December 24, 2021 2021 年 12 月 24 日)

8×10²⁰²+5 = 8(0)₂₀₁5_<203> = 5 × 1186887692293_<13> × 13480635197327645627976568343252198351575041763082427147973869835734766502347143233171455815114108914503400283007150534238503918589896668886478162262602600530680570950356263961953372972670157_<191>

8×10²⁰³+5 = 8(0)₂₀₂5_<204> = 5 × 61 × 1601 × 4873343575640558509_<19> × 336179932046895860205387890682341858431116959058572517766733714690879611204206782348333632292326429918231938691548055904296886351922725090009692600701966257501047443725590126575049_<180>

8×10²⁰⁴+5 = 8(0)₂₀₃5_<205> = 5 × 13 × 58898219 × 92728577720195109314461830205024512783846609653_<47> × 22535171588058459962746250832519062111263408655262075580280983969751092691396085491070839455750247064110910086121818065044555450936608365818669705011_<149> (Bob Backstrom / Msieve 1.54 snfs for P47 x P149 / December 22, 2021 2021 年 12 月 22 日)

8×10²⁰⁵+5 = 8(0)₂₀₄5_<206> = 5 × 1913 × 43649 × 503441 × 380611698612499805054163133897665699087070946167083629965722778022776220918831692129919790447749780106585186249252357282150150845204328441721243971442896358580709841240870392571929281984452153_<192>

8×10²⁰⁶+5 = 8(0)₂₀₅5_<207> = 5 × 7 × 82190237 × 404366546369099_<15> × 687743494608267854242346742664380264580842099935782016063425867981628618363823049923645755542700538280248068646809863025481404340972358750716981929927135280839900745146532962586988361_<183>

8×10²⁰⁷+5 = 8(0)₂₀₆5_<208> = 5 × 138389 × 1844189 × 1281752509_<10> × 535207088321_<12> × 2026373506789_<13> × 25291511560960661_<17> × 7306507967723377429_<19> × 24405224355481869374047375561574970181082923009517662275886563245922339174918282649418082433705256092441801262827916219895276569_<128>

8×10²⁰⁸+5 = 8(0)₂₀₇5_<209> = 5 × 127 × [125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496062992125984251968503937007874015748031496063_<207>] Free to factor

8×10²⁰⁹+5 = 8(0)₂₀₈5_<210> = 5 × 17 × 1777553 × 47169610036811024353_<20> × 4727986661260606457617_<22> × [23741599479775677797445531095065419941461600976223359885343968132797467920863354897877088653521223282741364401067696102021021416997631056280208089792627070354801_<161>] Free to factor

8×10²¹⁰+5 = 8(0)₂₀₉5_<211> = 5 × 13 × 17477 × 213959491 × 691436933373829987727528145828094294891_<39> × [47602045401351195187811114352991827093127416947695465474015476360265177721135071746989258844947248165624057622361828440960584869666722902814874038968945326721_<158>] (John / ECM for P39 / December 19, 2021 2021 年 12 月 19 日) Free to factor

8×10²¹¹+5 = 8(0)₂₁₀5_<212> = 5 × 12496731398670707971245583546669961_<35> × [1280334792320329364970455800969434638371949567140493598334838502010388995934115139994885900216848633504717885308040965806242095600828459373913975663864869831489391320919724755641_<178>] (John / ECM for P35 / December 19, 2021 2021 年 12 月 19 日) Free to factor

8×10²¹²+5 = 8(0)₂₁₁5_<213> = 5 × 7 × 19 × 1823485459_<10> × 15086531422124548801_<20> × 43729713856774703525467164148175439127815605637709323292531603553001086474841159053833596951176497099208637455997981422782813683499046025916847397757912227082717829277741891399861983_<182>

8×10²¹³+5 = 8(0)₂₁₂5_<214> = 5 × 645201614650058362712970001_<27> × 2479845002972909515358853730056182720435315329983202220248445605929766318609150497218028365717061853322861704826631614296007938721951258702455132044115196286331778405704263474858187030001_<187>

8×10²¹⁴+5 = 8(0)₂₁₃5_<215> = 5 × 157 × 396789373 × 1298595610278250853_<19> × 59293536525260043533_<20> × 6424824920600688492583497591868303_<34> × 79134956484906857617560906151373279762794320162297127049_<56> × 6560687441269430950799324351327795971218237061530473547050713350904888994047_<76> (John / ECM for P34 x P56 x P76 / December 19, 2021 2021 年 12 月 19 日)

8×10²¹⁵+5 = 8(0)₂₁₄5_<216> = 5 × 76481 × 1530377153024763541_<19> × [1366998227342095572152620929256298204060514009075514491811941252954296867234768797731436858097586343071711580620419894285057659778646888776775036168763483105675046103979130397523225857337341181_<193>] Free to factor

8×10²¹⁶+5 = 8(0)₂₁₅5_<217> = 5 × 13 × 1141717 × 543626514943666958813_<21> × [198297633680267090238437588476263771149139015036413158959938896570930084093601133976587158774732364731993504348766639586736625825972345153539749426721099595533790006348030803076396143112037_<189>] Free to factor

8×10²¹⁷+5 = 8(0)₂₁₆5_<218> = 5 × 19698641 × 460996993 × 185933873393_<12> × 23051524697857_<14> × 1291622966092924188496852561_<28> × 318267060668062755082200115592751601924428797640313139974067438638196625931037985102769829072717317632648887061743583502569342753397580003655071891057_<150>

8×10²¹⁸+5 = 8(0)₂₁₇5_<219> = 5 × 7 × 1567 × 139387491258961878402579295045153183_<36> × [104647569146203656472973283516124662684870470024402107707016421353051205608965405712492495705456957945614200981963303420521188545599399322573437371014123323163090559438103763766263_<180>] (John / ECM for P36 / December 19, 2021 2021 年 12 月 19 日) Free to factor

8×10²¹⁹+5 = 8(0)₂₁₈5_<220> = 5 × 2381 × 1107410809_<10> × 2110836058154849_<16> × 123415700257457895057407968276603829280661_<42> × 124007804002297705206778684076071185295199351174347053329_<57> × 18783559553865129018125301761118963122558984722753854310998603940429795349405699028702039399049_<95> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P42 x P57 x P95 / August 15, 2022 2022 年 8 月 15 日)

8×10²²⁰+5 = 8(0)₂₁₉5_<221> = 5 × 59 × 251 × 2028665449587157151564361064290115704067134515611472366812803462577036236767925612499_<85> × 532578728871215017674476380238391312313053708631341902137923731261176765267993708076700656105510821007966469219156801325679145539411_<132> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P85 x P132 / August 18, 2022 2022 年 8 月 18 日)

8×10²²¹+5 = 8(0)₂₂₀5_<222> = 5 × 2857 × 476401 × 345166597753_<12> × 35166325918289_<14> × 2165709005251177_<16> × 5507440281809916072189946193220815469960073_<43> × 18246472017063014578548110760764060705162320141280216561_<56> × 44499231905146206033105252736533035298968978427169113294660197580418700609_<74> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:1708262714 for P43 / February 17, 2022 2022 年 2 月 17 日) (Eric Jeancolas / cado-nfs-3.0.0 for P56 x P74 / February 18, 2022 2022 年 2 月 18 日)

8×10²²²+5 = 8(0)₂₂₁5_<223> = 5 × 13 × 23 × 197 × 2021502331_<10> × 2829789816665849_<16> × 7905459512633933211887_<22> × 524636689626949146688459_<24> × 2903647835295112466697009001_<28> × 394297861877157789910958659816070025061531326960214335917010365745086909965230830977464403265056600299720416174913855521_<120>

8×10²²³+5 = 8(0)₂₂₂5_<224> = 5 × 29 × 109 × 1171321733018332490082792451285206476021_<40> × 4321348435816659639924623831425247440887217565490300500399997518206481916750547850871044208047731143008994376186679335126168970106599722660029202311995597227297528721929699720250021_<181> (John / ECM for P40 x P181 / December 19, 2021 2021 年 12 月 19 日)

8×10²²⁴+5 = 8(0)₂₂₃5_<225> = 5 × 7² × 2671612098602591745679092939083181041_<37> × 1222223137916213320557595761533909472851278000213857193489367041901429546728672234771080060617703782297391356932297785698371853033958551831364089856321499084963679537044948059489429297889_<187> (John / ECM for P37 x P187 / December 19, 2021 2021 年 12 月 19 日)

8×10²²⁵+5 = 8(0)₂₂₄5_<226> = 5 × 17 × 17377 × 958897 × 17863999889_<11> × 316188152437615393987801555266513197431867654948385103289494598730990134395927527397069290150474132818528227532600294408051642239602058359569982817706523928171521580967876723213169825676685238638463284433_<204>

8×10²²⁶+5 = 8(0)₂₂₅5_<227> = 5 × 47 × 2927 × 21503 × 31708811 × 138008209 × 467546659 × 3772649463943_<13> × 331660185089158422753463_<24> × 2112762689588426971472981277503598897991581166635587609784373774265145282965829737066829543464303733185612292628269788288130725669379248139814095213200577647_<157>

8×10²²⁷+5 = 8(0)₂₂₆5_<228> = 5 × 155689 × 263314904081_<12> × 224307981431729128848742124235529_<33> × 40933549864550394483873056273744044349_<38> × 425071977398056320296070491952770924920916068397237329228259230986557129923898155793229079131110847350694608910229034062149775790258736015509_<141> (John / ECM for P33 / December 19, 2021 2021 年 12 月 19 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P38 x P141 / August 28, 2023 2023 年 8 月 28 日)

8×10²²⁸+5 = 8(0)₂₂₇5_<229> = 5 × 13 × 384277 × [320281783913487085938208435781800828368798869245161893433843095155117472352175443955592129955935231816952554857763860644595114781985190570664070249005074664689994256947262201284690270499985887583896311975275847690798364401_<222>] Free to factor

8×10²²⁹+5 = 8(0)₂₂₈5_<230> = 5 × 362401468873_<12> × 559874267692153802628396953_<27> × 78856868363636715874455601644512678426485491549582192372738872355345545687182175479639902010554198441482052535790984733233259924122809543553842277931542437258112469981917570566494631886812129_<191>

8×10²³⁰+5 = 8(0)₂₂₉5_<231> = 5 × 7 × 19 × 10357 × 11161 × 2878372223_<10> × 2770973558374195333_<19> × 133669040400279891551003985028882884358183_<42> × 9761601860684321418378173458478900199979455648935998055147271553177627695800371418386207036960691388391017299205330513300514863154169941483049857521013_<151> (John / ECM for P42 x P151 / December 19, 2021 2021 年 12 月 19 日)

8×10²³¹+5 = 8(0)₂₃₀5_<232> = 5 × 89 × 241 × 641 × 3061 × 2170121 × 3977517521_<10> × 335665919209_<12> × 2108135200121_<13> × 17922657518070881_<17> × 198426003112604953442931431729_<30> × 1750204613290329549503388816792935994199301150141493282391103565251468555870699758975846575843197354206771369331296262534887027366801549_<136> (ivelive / for P30 x P136 / December 20, 2021 2021 年 12 月 20 日)

8×10²³²+5 = 8(0)₂₃₁5_<233> = 5 × 1019 × 15701668302257114818449460255152109911678115799803729146221786064769381746810598626104023552502453385672227674190382728164867517173699705593719332679097154072620215897939156035328753680078508341511285574092247301275760549558390579_<230>

8×10²³³+5 = 8(0)₂₃₂5_<234> = 5 × 81553 × [1961914337915220776672838522188024965359949971184383161870194842617684205363383321275734798229372310031513249052763233725307468762645151006094196412149154537540004659546552548649344597991490196559292729881181562910009441712751217_<229>] Free to factor

8×10²³⁴+5 = 8(0)₂₃₃5_<235> = 5 × 13 × 13589400809_<11> × 17281044811741013_<17> × 61257865359827173_<17> × 10597535771966528431099_<23> × 2255632472064492359730251783_<28> × 357907861411980849492464982183174322504507730551145176221636055552852438930146803443090965420003374352327645203484378266402335669737442199641_<141>

8×10²³⁵+5 = 8(0)₂₃₄5_<236> = 5 × 229 × 269 × 2365921 × 6030927957644206681_<19> × [18203204184503802572623206333983337897360007863535933848780722377012757769800549099893922653218469771276954854838408675011803112016786886728754623991079558440146625662908729565630257440366945282951091940201_<206>] Free to factor

8×10²³⁶+5 = 8(0)₂₃₅5_<237> = 5 × 7 × 571 × 887 × 16619 × 20663 × 28517 × 49459 × 182579 × 38836013 × 2032299433170021180872658666023_<31> × [6466088230253884386602629039823494285531938760722912615429315708460297738768895380533648455288174075877360250043082452205004252117121552101339989833367607543241650343569_<169>] (John / ECM for P31 / December 19, 2021 2021 年 12 月 19 日) Free to factor

8×10²³⁷+5 = 8(0)₂₃₆5_<238> = 5 × 857 × 1866977829638273045507584597432905484247374562427071178529754959159859976662777129521586931155192532088681446907817969661610268378063010501750291715285880980163360560093348891481913652275379229871645274212368728121353558926487747957993_<235>

8×10²³⁸+5 = 8(0)₂₃₇5_<239> = 5 × 167 × 499 × 16927 × 51811938868035525204579041865259_<32> × [218923875301048599628854667875646599622496048998531723439727224817699628083404655467175558650465539717660740398451491519366196323543185138571734833150448985529168375883206195136844433718772268499129_<198>] (John / ECM for P32 / December 19, 2021 2021 年 12 月 19 日) Free to factor

8×10²³⁹+5 = 8(0)₂₃₈5_<240> = 5 × 8681 × 4485409 × 2022250189_<10> × 20190229349_<11> × 151552816201_<12> × 1927006781741_<13> × [344607547708295452183645668771914661217067286209462537980660779210154795630589126819745546304518172449989138937138340149703627794965643070522973530563431390064913320974399007029442410869_<186>] Free to factor

8×10²⁴⁰+5 = 8(0)₂₃₉5_<241> = 5 × 13 × 809 × [152134639155652752686127222591993914614433773889892554911096320243415422649044404297803556147190263383094038223828087857754112389464676238471046876485689835504421412950461158124940572406579823143481981553675002377103736807074260720737853_<237>] Free to factor

8×10²⁴¹+5 = 8(0)₂₄₀5_<242> = 5 × 17² × 3828673 × 626979222232177636673_<21> × 188273305659670723090321_<24> × 2567891300179828182753496079220127827569_<40> × 47704058799549529445069801690702441330373330023941553128105653281305364476013919074922169754085944573575604658447904879279752705566983581094219080929_<149> (John / ECM for P40 x P149 / December 19, 2021 2021 年 12 月 19 日)

8×10²⁴²+5 = 8(0)₂₄₁5_<243> = 5 × 7 × 2099 × 3955291 × [2753157539197763464048370626904824106133219747808620914170215238505993828290141026085247389369628109462388571134216213689330091788107858810585849709285172624595962079605781238940988280016855697011304170422954434202566151471134976727_<232>] Free to factor

8×10²⁴³+5 = 8(0)₂₄₂5_<244> = 5 × 769 × 24781 × 32749 × 45541 × 56295568500377365847714135798858854309899881467309184227033284887557398325909052473132336267833887805930170202768824814280088197909550454710028774717059498658757963295430697173479126600011194573195675142921638448946046688624901_<227>

8×10²⁴⁴+5 = 8(0)₂₄₃5_<245> = 5 × 23 × 33524806741961_<14> × 40024951717116533_<17> × 6864327429688869322811_<22> × [75526099378105950155241491783666914005860976686973658918629393433515879738269148982961455038861591339050233335307776315414197356384328918262674260127576592794616943966676918590963634866308809_<191>] Free to factor

8×10²⁴⁵+5 = 8(0)₂₄₄5_<246> = 5 × 233 × 1889 × 2617 × 108740609 × 33055117295551433_<17> × [38645409852237486172959172173212678139665676408288834997398100845224511072097705731943895730347017175646128355743981613507315820125931834563618930671933993763133626942920445080250001518700202055359397349507454777_<212>] Free to factor

8×10²⁴⁶+5 = 8(0)₂₄₅5_<247> = 5 × 13 × 7933 × 425237 × 3702211 × 13654225963783734830008903_<26> × [721738508700901820031819859419548637641476614867569780687959505080755629064332195739550576750681202949470740636241009113751460979596443337396599762266073719134609909549109537691587712975115285068277085489_<204>] Free to factor

8×10²⁴⁷+5 = 8(0)₂₄₆5_<248> = 5 × 601 × 2755271201_<10> × 12846849035638124992858685154509_<32> × 752115496784838928727362914319818600345089725131943453893369116800922929374223453198457218401655179441130259482837677003145641793442457431735376019103555897245246187961537856139573311029180484583588894189_<204> (ivelive / for P32 x P204 / December 20, 2021 2021 年 12 月 20 日)

8×10²⁴⁸+5 = 8(0)₂₄₇5_<249> = 5 × 7 × 19 × 619 × 1103 × 41690321 × 14024733214651_<14> × 32132430173966291824183_<23> × 93784001748894018367930025208834139795557288719078932454808377202643923153620382094965258544598000946978990843121555571845254726906151912220379431522537756275025174268469770586073081488191161717597_<197> (ivelive / for P23 x P197 / December 20, 2021 2021 年 12 月 20 日)

8×10²⁴⁹+5 = 8(0)₂₄₈5_<250> = 5 × 2753 × 4289 × 9808155054497_<13> × 3998170074749681_<16> × 3455486001111889843172117747969057531496569242866916400892935665474342113931759699214321993692737999732313913513894770150757968855303469021568330987539718933190045470790687043961609222440526188920943569002889190129_<214>

8×10²⁵⁰+5 = 8(0)₂₄₉5_<251> = 5 × 127 × 764750971 × 6440538384820551073518293_<25> × 25578439875267102785316908771822178474756406055803791939390320041936896147092625653959561641374285583620259138896293819263651342347977713197967771685997517715915857381275847588367176715170486570489647111581993994521_<215>

8×10²⁵¹+5 = 8(0)₂₅₀5_<252> = 5 × 29 × 55640552616989_<14> × 4425762984230896566508156494901_<31> × [22404868428483575118906895523395692384708240241945939938007392224973743561352588564141736195866396412378834114829691555992272689474952412028882319552541631389671963745823022808671980040194212239368959904821_<206>] (John / ECM for P31 / December 19, 2021 2021 年 12 月 19 日) Free to factor

8×10²⁵²+5 = 8(0)₂₅₁5_<253> = 5 × 13 × 20019394270940929722803522252561_<32> × 6147884466992834229030910404983300878501180418480456390639924437408577420875319225314303928987776485314338217842488947038456212861237020286093550369583397122765507016024324657055118745149392765934112014387441607009111157_<220> (John / ECM for P32 x P220 / December 19, 2021 2021 年 12 月 19 日)

8×10²⁵³+5 = 8(0)₂₅₂5_<254> = 5 × 7577 × 8369 × 16095817 × 186924976490271874609_<21> × [83862685808612130662560438637042015588934334684085323864730129722431846769608711889775261124779949984198349627898877407759150175300428180301381392068164297366278190628463374923788261047208208599526763607730563239451009_<218>] Free to factor

8×10²⁵⁴+5 = 8(0)₂₅₃5_<255> = 5 × 7 × 131 × 6882297423805253_<16> × 25352290928252758401382064585989585084163899048163595115637915239643097310503317116241079030146147485405908687039149858149245352639364203213391553882830145251297022464608780884786310333265562174038642133255824863950234654023309259583001_<236>

8×10²⁵⁵+5 = 8(0)₂₅₄5_<256> = 5 × 20149 × 2255609 × 2674369 × 209525775145894698649_<21> × 2415042011326272794787301_<25> × 1486068507820135154922266349615289_<34> × [17505735433505690856685804504868704186256210030660376898743533528376021181021499880546422586199096865281002154259579511638290505627440949494605195968533157587729_<161>] (ivelive / for P34 / December 20, 2021 2021 年 12 月 20 日) Free to factor

8×10²⁵⁶+5 = 8(0)₂₅₅5_<257> = 5 × 548557 × 1684669579_<10> × 15900209498902127611_<20> × 13593691504032633746695866577982005736489_<41> × [80101976308240234966976848367170124965078293474968878888116995165291259468039028318250790512273121854618781811587649803253724611973392680606553954827873282745631970527967181253114773_<182>] (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:2147097472 for P41 / February 20, 2022 2022 年 2 月 20 日) Free to factor

8×10²⁵⁷+5 = 8(0)₂₅₆5_<258> = 5 × 17 × 4001 × 5201664190577_<13> × 208184808993265938514102913_<27> × [2172256782908033041511408048858989571567971974270787516434023965711061263049105081818380517368732509514727510429873761739370401139257768244122672627244241329438063922387252370836578230479530887325090919862752057953_<214>] Free to factor

8×10²⁵⁸+5 = 8(0)₂₅₇5_<259> = 5 × 13² × 1436677127_<10> × 627016420687_<12> × 1012569441370853_<16> × 427124223857664407_<18> × 24300553558473872989183990268335667941916545788421027434578610299857843340171998732264977080623558359335946848691534208882768518977314687239922054720591527473663198547906227415631858112515938618073228651_<203>

8×10²⁵⁹+5 = 8(0)₂₅₈5_<260> = 5 × 87053149 × 492744477882462529_<18> × [373004207892946315637371573535105914877552713143926184877316583996836135372004579903478619020748731274635078843777991433263936969007702806423798795841231791197217218314599582424591971197595169114631694970220966227661352584270024230581_<234>] Free to factor

8×10²⁶⁰+5 = 8(0)₂₅₉5_<261> = 5 × 7 × 404161 × 16096498914103_<14> × 80634134770177908843516881916111960441815090003251_<50> × [43572972134029880750524057084760787370393476538482647601935823871526558304419983072885595871596934797892318619277524595303828801513093030001589698674508212154852207132351536524170281243200571_<191>] (ivelive / GMP-ECM B1=43000000, sigma=3692658400 for P50 / April 8, 2022 2022 年 4 月 8 日) Free to factor

8×10²⁶¹+5 = 8(0)₂₆₀5_<262> = 5 × 241 × 457 × 1001987969_<10> × 13461642352357849689593_<23> × 1077025993719895073330123484883364895442970279409421488154162423020170938010232836143906458495460757126333519692417474879957107290617517297141400385149511754196672648496316107525787950952064039245412289773256503890247688695569_<226>

8×10²⁶²+5 = 8(0)₂₆₁5_<263> = 5 × 223 × 266863 × 6485240899_<10> × 504166316249_<12> × [82229342184175658997854413931666157257224033649010735587693055757725444165132903106307736017361702052933090408066536483552763061527477450690553889812168983066627191562858822462373053081532742051831078500325824956090931908071418514899_<233>] Free to factor

8×10²⁶³+5 = 8(0)₂₆₂5_<264> = 5 × 61 × 641 × 59921 × 129964381 × 3495479041_<10> × 5784513441029_<13> × 24062613142433907389_<20> × [1079971754294393465907817624479910731990010436616228744408139958738964660768665965011584904657357341071376148034814053434743037697493955133196201116199613309819856416066314449904598704854652953030213905881_<205>] Free to factor

8×10²⁶⁴+5 = 8(0)₂₆₃5_<265> = 5 × 13 × 296927731 × 3247938802102897087970706167_<28> × 127619792193537678751666312789320101653850514921128368638485537092094403477326728089993723540624118708090328788120529109509603622764400219817082769656987371897572005302369859639542741482640417753536346216793769608577925028778001_<228> (ivelive / for P28 x P228 / December 20, 2021 2021 年 12 月 20 日)

8×10²⁶⁵+5 = 8(0)₂₆₄5_<266> = 5 × 4974721 × 5796390965668406476481_<22> × 97249200311195676346227377988452249777_<38> × 5705681749726392041575796121117617077079744144761040466886301134903816070716036930848963194125422274574472119349707083862070694283004470783600938142791953510561393405845381718844787586165766573399313_<199> (John / ECM for P38 x P199 / December 19, 2021 2021 年 12 月 19 日)

8×10²⁶⁶+5 = 8(0)₂₆₅5_<267> = 5 × 7² × 19 × 23 × 3836771 × 1624507693_<10> × 60732205733_<11> × 2907642621029369597321_<22> × 169289873184666141662252399916779_<33> × 3115915379936922846891440177480392601_<37> × 12869986731820911622187656292380199604148950101049102010797501345853224191177583507993505147343279093886409499633786637188224991342295081904338797_<146> (John / ECM for P33 x P37 x P146 / December 19, 2021 2021 年 12 月 19 日)

8×10²⁶⁷+5 = 8(0)₂₆₆5_<268> = 5 × 39041 × 39652731243413387092019810197655729_<35> × 1033536795931801564830926239281463386150787705392611408929911196140645469109222767637151909593674220087302580076370268065095548397590455693050521078703064009563091673527896590577038779761074749346825887034091462262058901978413009_<229> (John / ECM for P35 x P229 / December 19, 2021 2021 年 12 月 19 日)

8×10²⁶⁸+5 = 8(0)₂₆₇5_<269> = 5 × 5653 × [2830355563417654342826817618963382274898284096939678047054661241818503449495842915266230320183973111622147532283743145232619847868388466301079073058552980718202724217229789492304970811958252255439589598443304440120290111445250309570139748805943746683177074119936317_<265>] Free to factor

8×10²⁶⁹+5 = 8(0)₂₆₈5_<270> = 5 × 34297 × 4031761 × 120588498657379372008127201_<27> × 10722837503006424691050266036978325569_<38> × [894856623348030888301133599672813365036552377801045665395883166676285908490235520498855270015527653985993602209067885430775341619916309945653311373025187945889844092138353172095061189724602109337_<195>] (John / ECM for P38 / December 19, 2021 2021 年 12 月 19 日) Free to factor

8×10²⁷⁰+5 = 8(0)₂₆₉5_<271> = 5 × 13 × 251 × 27301823 × 24546114997_<11> × 841928622955368974573_<21> × 16449662662105585893152687865618889_<35> × [52831899685407237761381473737291884073407919283371901288414424842166074457050692371047071000783834140566882804075163531077975432626725904810291938777867525959946575898613632459224885925582544361_<194>] (John / ECM for P35 / December 19, 2021 2021 年 12 月 19 日) Free to factor

8×10²⁷¹+5 = 8(0)₂₇₀5_<272> = 5 × 59933711801_<11> × 266961606735210389443371495148355361912552938830120097136548113859076084891190135083687739575580771228396023167241979109873151905971671323951411410431759519182128153805048861435526026248293768679144384835528501593062879486248290741000821999130699226956093528201_<261>

8×10²⁷²+5 = 8(0)₂₇₁5_<273> = 5 × 7 × 47 × 293 × 20236225613_<11> × 141686773767853_<15> × 5698071139915811_<16> × 101594400781783868814722394986426967597556949080692797325947906138442433905860665170234220594854288648684997954838781476398655631275553936091231930093559788554805135314837946605701680591365112915510888509736455887806340909209727_<228>

8×10²⁷³+5 = 8(0)₂₇₂5_<274> = 5 × 17 × 16273 × 2377889 × 2821649 × 3810850155377_<13> × 117386837302384512721_<21> × 38533635317381594502493053595790377073_<38> × [50006632916987994485427805564276281517236068766282332796356895290441613377556035174590632804874626061445413992341451197327514057353152520401026486782934672504569898322493400130198056961_<185>] (ivelive / GMP-ECM B1=11000000, sigma=1:521596677 for P38 / December 20, 2021 2021 年 12 月 20 日) Free to factor

8×10²⁷⁴+5 = 8(0)₂₇₃5_<275> = 5 × 38047 × 166031423 × 1256808051209_<13> × [2015302854227433541828034952984887201365781751224116947848591421053452892422960784685564310345737767649708765535317613096010697673393882787903085103099513495428882045446761980011413626584246482448685403576025153087747860885621161155177207556555410969_<250>] Free to factor

8×10²⁷⁵+5 = 8(0)₂₇₄5_<276> = 5 × 89 × 5521 × 616123076330193271303249862345578069_<36> × [528499710403284963655818611661374670302599485141743587189770963828973596864619795066291476526161729784050498607728226286249521724769470998281612344426885921604719662033530970140783009519797875799005994190210877170645137924374963969141_<234>] (John / ECM for P36 / December 19, 2021 2021 年 12 月 19 日) Free to factor

8×10²⁷⁶+5 = 8(0)₂₇₅5_<277> = 5 × 13 × 379 × 2339681 × 17520329 × 83856811 × 4584564858209213_<16> × 123910930045507110047_<21> × 195024670477924778173716460487717_<33> × 1100274686001749397201419913749045694581651_<43> × 775000103562852920384300789436917092022548263753161084185533612158733202168623031103618058276949986734983781408169153476900575185869704760441_<141> (John / ECM for P33 / December 19, 2021 2021 年 12 月 19 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:2506520535 for P43 x P141 / December 27, 2021 2021 年 12 月 27 日)

8×10²⁷⁷+5 = 8(0)₂₇₆5_<278> = 5 × 25646407277766929_<17> × 5866031631241825010609_<22> × 72706375237934282102081_<23> × 43477020759051052149729433_<26> × 678750228065828123382159528874633_<33> × [49568615488904199688877403245178025389791266056523979788128299081677099713707984458355823762108908043080999297431479836995886699443326217003165452060639644449_<158>] (John / ECM for P33 / December 19, 2021 2021 年 12 月 19 日) Free to factor

8×10²⁷⁸+5 = 8(0)₂₇₇5_<279> = 5 × 7 × 59 × 84051483908247511835256644935129_<32> × 32263122207707652172330141073544731_<35> × 142862469370749471024464301149252899961615297496326723885151377090841749393294526480566157369268980552335648961084292249784760992778105323725233705182768368631438099245552468259949994551585268350973482760460423_<210> (ivelive / GMP-ECM B1=11000000, sigma=1:2228584193 for P35 / December 21, 2021 2021 年 12 月 21 日) (ivelive / for P32 x P210 / December 22, 2021 2021 年 12 月 22 日)

8×10²⁷⁹+5 = 8(0)₂₇₈5_<280> = 5 × 29 × 181 × 98675609 × 506666581 × 533621029 × 70217192849_<11> × 181821823289_<12> × 2141219179453649_<16> × 137721619388921693441_<21> × 153835476469499100800309_<24> × 14113249767785996955167669_<26> × 17877047432546940021082429_<26> × 78189126353181320625676544711567455739181379162344180112658416540314450127553953879122269193647067857401058055697216229_<119>

8×10²⁸⁰+5 = 8(0)₂₇₉5_<281> = 5 × 65557 × 17000382491_<11> × [14356289871292987808788318458912467695576742658469647178112787970265831171088623440838882459860712133186311371150374306355970525329469806572712735914690414897331582075968954467896855700156337527303556718919064978606378759386819608171427707196500589363889015389164423_<266>] Free to factor

8×10²⁸¹+5 = 8(0)₂₈₀5_<282> = 5 × 97 × 75041 × 282812753 × 116622754500840072081001777986821498079169_<42> × [666449661005029646378277493709680005103484943761749294138532016874254772992922314583360307198325523716799318201166649302625766478968847102184070170910598915019055181444401803147618922046889688155398695515554805635550776541809_<225>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P42 / August 28, 2023 2023 年 8 月 28 日) Free to factor

8×10²⁸²+5 = 8(0)₂₈₁5_<283> = 5 × 13 × 83444075369_<11> × 401039890025776693_<18> × 79193557433435775034233574469089_<32> × [46441228437092280282657325682988290529928428330359278446844512442067560107379096439453590402664367757615696182697863497452634533618849930813907261616290534345878522612598850347738316383397079139174948902360399222141635529_<221>] (John / ECM for P32 / December 19, 2021 2021 年 12 月 19 日) Free to factor

8×10²⁸³+5 = 8(0)₂₈₂5_<284> = 5 × 135449 × 52439067001_<11> × 14990742787109_<14> × 150267849411880573182419949668666809364631299183179161193247144460022419522005848716726065258790347052555456413121322400665494813208112258280478823770392909576789385238902044907162636091070224412118964166789356802264460305322872246668239971726192751525661_<255>

8×10²⁸⁴+5 = 8(0)₂₈₃5_<285> = 5 × 7 × 19 × 877 × 116201 × 386891 × 110538809 × 26530995161518374987743_<23> × 12662771852215944669619733_<26> × [821624067034379675525607063556387140486506644638470207168735084163922991294712395671717612439211612738790847632896723721298903749655725397852361618108786740227430375779675610991145574182078426025371387354965049801_<213>] Free to factor

8×10²⁸⁵+5 = 8(0)₂₈₄5_<286> = 5 × 8233 × 85070633 × 26883761606291760239833993350137_<32> × 669404715236479900020200524415922511913_<39> × [126941434024547462751154079634642367329109115402605314092526561126731545051265380600302733920036135969412730676942057302839401707283235384710990880734839223447328548085199278473426202121510284671805638289_<204>] (John / ECM for P32 x P39 / December 19, 2021 2021 年 12 月 19 日) Free to factor

8×10²⁸⁶+5 = 8(0)₂₈₅5_<287> = 5 × 2447 × 63128521 × 2256870712727_<13> × [45893768214691470434828387140588734180823319265002153300832882958962088411817086867150744040776310285086591909180074482822683414169351694601016438540818757253894078753574216398203054001859413316683457065598709436319527384560591498000480498579846917262620058383649_<263>] Free to factor

8×10²⁸⁷+5 = 8(0)₂₈₆5_<288> = 5 × 116269 × 32585419969_<11> × [42231131997974965150172722034995064309721354505666888242606873019468208058492546507032436446716982571975111251814665204762141406375533065205965523355757252936976315415640762372359584205101228146916099677981798790394928185424605788347502114335564059385199188201110514323941_<272>] Free to factor

8×10²⁸⁸+5 = 8(0)₂₈₇5_<289> = 5 × 13 × 23 × 12917 × 108089 × 4964891 × [771961990829178954761296386693993685153955615215168401220896917051474689530596707987554692457279827217225083580341691170332989542698695281533350809963969314048172876832182275011861832622300681268607788960217338106937658779457360200991634167560976894443742185789229417053_<270>] Free to factor

8×10²⁸⁹+5 = 8(0)₂₈₈5_<290> = 5 × 17 × 3204295729_<10> × 63970267673286193_<17> × 33403489810446696765329_<23> × 3110744386570285352562880189576549729_<37> × [44187978543669278194914113217384878310808420696267730669136638183061930833237694917568649925770571324623518857099842334218560171075017297063256325852178872860308419141014104077323765199568295784301065889_<203>] (Marlon Trifunovic / GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM] B1=3000000, sigma=1:3047820910 for P37 / February 16, 2022 2022 年 2 月 16 日) Free to factor

8×10²⁹⁰+5 = 8(0)₂₈₉5_<291> = 5 × 7 × 10413336650786801_<17> × 2192676899200830824063_<22> × 533438719364243648513717_<24> × 18444695278651049652074873143080263_<35> × 101742258129248873680493376712085817714731824923780857863926655253038592842693157423501085232615899065247808956917479369454322095568223850558692490643280381208993797456285250056418984598255399491_<195> (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:3562109163 for P35 x P195 / February 21, 2022 2022 年 2 月 21 日)

8×10²⁹¹+5 = 8(0)₂₉₀5_<292> = 5 × 241 × 9725809 × 2240529089_<10> × 2516556233252486422001_<22> × 121065382244452822292650371361742805607908017222818552190823883174541632215021384641934788374554821774061081355597149855665513488220412698645404950188936053282569904448139275853537640802209255809585837580130369692093079960272433601235546845663943813361_<252>

8×10²⁹²+5 = 8(0)₂₉₁5_<293> = 5 × 127 × 157 × 802447464767541000050152966547971312503134560409248207031445910025578012939465369376598625808716585586037414113044786599127338382065299162445458648879081197652841165554942574853302572847183910928331410802948994433020713175184312152063794573449019509503987160840563719343999197552535232459_<288>

8×10²⁹³+5 = 8(0)₂₉₂5_<294> = 5 × 881 × 1993969 × 13368529 × 12152544002864712224017209089_<29> × 81023572906023142513117425329_<29> × 559169678098898144530315350323017_<33> × 2329754740508872123210230528357830017598700961_<46> × 5311407712061782638977899486559417712671707900488310820709334781497248793713096727690302174225108883456706713990291286031281634609438521590393_<142> (Dmitry Domanov / for P29 / August 27, 2023 2023 年 8 月 27 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P33 / August 30, 2023 2023 年 8 月 30 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=50890000 for P46 x P142 / November 6, 2023 2023 年 11 月 6 日)

8×10²⁹⁴+5 = 8(0)₂₉₃5_<295> = 5 × 13 × 263 × 57637 × 211994561 × 2810244953986849999049_<22> × 13628580343027527265515316652444187292290166513463076229212718340981955562198793862306457412659328154927354556573975252208665904103384813777455338194140999263056913825099113202324400492593915008777829414875336130866770058430751351540656057199075630166991903_<257>

8×10²⁹⁵+5 = 8(0)₂₉₄5_<296> = 5 × 641 × 1709 × 6830543309_<10> × 40210011109560881_<17> × 1004131050026842134531021393487601_<34> × [52959033584150548487949459377186067247952359952820144970246642656295489037180111355151388153347863806667304082761420084340095464991472418992249925814268267040087047835198684350306083129339474039730972235661494542690078729767455001_<230>] (Marlon Trifunovic / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:3337319177 for P34 / February 28, 2022 2022 年 2 月 28 日) Free to factor

8×10²⁹⁶+5 = 8(0)₂₉₅5_<297> = 5 × 7 × 9967 × 1400653 × [1637294973629723931295187029040727972870571845013373275276290158321435009878718535568183567411718563405462475970699657511661748802225147707293816645566240371808611613114769360969411352524481347712103131176213661072863271589818910574810683826118932137994696313809774492721404207235531293_<286>] Free to factor

8×10²⁹⁷+5 = 8(0)₂₉₆5_<298> = 5 × 113 × 337 × 233808223691616794770256849_<27> × 576937379308719795848252209441_<30> × [311474988445325890464686485637214608924267978281191054254487878409782952039934749560948849740102660024117077793883826443067231862915973045044741476861547314916440240648881445152323565709317917745273516210496915250450077263470610497349969_<237>] (ivelive / GMP-ECM B1=110000000, sigma=3789609198 for P30 / January 24, 2022 2022 年 1 月 24 日) Free to factor

8×10²⁹⁸+5 = 8(0)₂₉₇5_<299> = 5 × 260450543 × 56017139864305625881_<20> × 4405332449104681821564516758328554339_<37> × [248940235817310373167693544398562853640168322200975909125014488547210455814591425760257936227036435304843546971194901443909367286385358595307620322675730531889186596669589819624524332475012214309131419018316979137824745911885662057773_<234>] (ivelive / GMP-ECM B1=110000000, sigma=2244803513 for P37 / January 24, 2022 2022 年 1 月 24 日) Free to factor

8×10²⁹⁹+5 = 8(0)₂₉₈5_<300> = 5 × 3121 × 17489 × 66169 × 32030461 × [1383067816766705867834991699941034095911357917761110136463805383415831285968755817991295826780245461919951199365380294752072233056990635148258265744199739285693374716460659231405537028023939084134523901497443127380656420717097770845636625470579900142610125746203081302241393758781_<280>] Free to factor

8×10³⁰⁰+5 = 8(0)₂₉₉5_<301> = 5 × 13 × 26222740883171113238891613240456677087_<38> × 4693518638088277438405235544444345895823974834100591138169369925384112327160952613108248969901918266103031148647927658842748067345102538886274877490644142959132511321491155578653106942215990547311010970655004708924294127651622099666348285640631269284656383447771_<262> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:3551832109 for P38 x P262 / December 20, 2021 2021 年 12 月 20 日)

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