### July 29, 20212021 年 7 月 29 日 (Kurt Beschorner)

n=245023: c245001(2003355288......) = 110716844516934599 * c244984(1809440376......)

n=245087: c245068(1138657581......) = 3943532397201103799 * c245049(2887405166......)

n=245129: c245117(2218424690......) = 6549809783930302609 * c245098(3387006285......)

n=245299: c245299(1111111111......) = 10206496475634241199 * c245280(1088631259......)

n=245321: c245301(3439087764......) = 1164459383507898991 * c245283(2953377175......)

n=245521: c245521(1111111111......) = 81298951302561431 * c245504(1366697962......)

n=245527: c245527(1111111111......) = 10509999932768167319 * c245508(1057194213......)

n=245881: c245881(1111111111......) = 9158062156524976133 * c245862(1213260067......)

# gr-mfaktc

# 206729 of 300000 Φn(10) factorizations were cracked. 300000 個中 206729 個の Φn(10) の素因数が見つかりました。

# 19763 of 25997 Rprime factorizations were cracked. 25997 個中 19763 個の Rprime の素因数が見つかりました。

### July 28, 20212021 年 7 月 28 日 (Kurt Beschorner)

n=244003: c243984(1401808852......) = 14987734041242686351 * x243964(9353040616......)

n=244043: c244043(1111111111......) = 11835424759410615787 * x244023(9388012122......)

n=244091: c244070(7907273228......) = 415489380407954201 * x244053(1903122823......)

n=244109: c244101(2231225798......) = 96108266578102439 * x244084(2321575321......)

n=244247: c244240(1895470093......) = 1564011899110093427 * x244222(1211928179......)

n=244379: c244347(7325254628......) = 3159094113684406369 * x244329(2318783285......)

n=244639: c244624(1798316783......) = 1752417698563513369 * x244606(1026191863......)

n=244841: c244825(1031953460......) = 2142766097052150751 * x244806(4815987439......)

n=244861: c244861(1111111111......) = 514999041650481013 * x244843(2157501317......)

# gr-mfaktc

# 206725 of 300000 Φn(10) factorizations were cracked. 300000 個中 206725 個の Φn(10) の素因数が見つかりました。

# 19759 of 25997 Rprime factorizations were cracked. 25997 個中 19759 個の Rprime の素因数が見つかりました。

### July 28, 20212021 年 7 月 28 日 (Yousuke Koide)

n=834: c205(5685237368......) = 84191134295847459088496323909951690425296390505413654926185730285872463 * p134(6752774406......)

# SNFS

# c205 was the smallest composite factor.

# 1193 of 300000 Φn(10) factorizations were finished. 300000 個中 1193 個の Φn(10) の素因数分解が終わりました。

### July 26, 20212021 年 7 月 26 日 (Kurt Beschorner)

n=6005: c4774(1217045145......) = 420717903891686501333521683198569142151 * c4735(2892781919......)

# ECM B1=1e6, sigma=0:4074722048380764

n=15023: c14760(9000000000......) = 507351723014476264139916677 * c14734(1773917302......)

# ECM B1=25e4, sigma=0:1694655298603566

n=100207: c100207(1111111111......) = 336079933200659172489515626991 * c100177(3306091799......)

# ECM B1=5e4, sigma=8183157438565096

n=100229: c98770(9253567836......) = 65298258132561265731089 * c98748(1417123228......)

# ECM B1=5e4, sigma=0:7977182807505599

n=243343: c243334(2984332446......) = 13060888043755415723 * x243315(2284938387......)

n=243401: c243380(6941755737......) = 359380958196228533 * x243363(1931586963......)

n=243517: c243500(7584631976......) = 110721045185156587 * x243483(6850217105......)

n=243613: c243613(1111111111......) = 16042914083123033563 * x243593(6925868363......)

n=243647: c243639(1310440096......) = 628879386496510133 * x243621(2083770155......)

n=243703: c243689(1732254969......) = 142340437902241037 * x243672(1216980216......)

n=243871: c243871(1111111111......) = 77084466962976071 * x243854(1441420243......)

# gr-mfaktc

# 206723 of 300000 Φn(10) factorizations were cracked. 300000 個中 206723 個の Φn(10) の素因数が見つかりました。

# 19757 of 25997 Rprime factorizations were cracked. 25997 個中 19757 個の Rprime の素因数が見つかりました。

### July 22, 20212021 年 7 月 22 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=96527: c96527(1111111111......) = 865621802419894774873159 * c96503(1283598804......)

# mprime B1=5e4, sigma=6670886850754605

# 206719 of 300000 Φn(10) factorizations were cracked. 300000 個中 206719 個の Φn(10) の素因数が見つかりました。

# 19754 of 25997 Rprime factorizations were cracked. 25997 個中 19754 個の Rprime の素因数が見つかりました。

### July 22, 20212021 年 7 月 22 日 (Kurt Beschorner)

n=7003: c6719(5126294198......) = 2795275541644314229026155745397 * x6689(1833913731......)

# ECM B1=1e6, sigma=0:6526693758661186

n=7003: x6689(1833913731......) = 57386559453693196421241258187529490893 * c6651(3195719953......)

# ECM B1=1e6, sigma=0:8513032473632757

n=100189: c100170(4449381905......) = 342589204796374215133 * c100150(1298751345......)

# ECM B1=5e4, sigma=0:8751326778434432

n=100271: c100254(1752784438......) = 24675304796250323893 * c100234(7103395288......)

# ECM B1=5e4, sigma=0:678085146272887

### July 17, 20212021 年 7 月 17 日 (Kurt Beschorner)

n=241093: c241064(4024825261......) = 276566898690889837 * x241047(1455280903......)

n=241313: c241307(2302214984......) = 79676760715519477 * x241290(2889443500......)

n=241333: c241333(1111111111......) = 204233580814082471 * x241315(5440393821......)

n=241537: c241537(1111111111......) = 2528464638367786333 * x241518(4394410324......)

n=241663: c241663(1111111111......) = 1373673328034823169 * x241644(8088612397......)

n=241691: c241691(1111111111......) = 2126040112959700841 * x241672(5226200128......)

n=241823: c241823(1111111111......) = 110443798279493681 * x241806(1006042103......)

n=241823: x241806(1006042103......) = 781365898344783881 * x241788(1287542885......)

n=241847: c241837(1569403863......) = 15408065431021647413 * x241818(1018559968......)

n=241979: c241971(1043583328......) = 153549751903355917 * x241953(6796385635......)

n=242069: c242069(1111111111......) = 295913901213459653 * x242051(3754845941......)

n=242173: c242163(5657322208......) = 10777260488125071883 * x242144(5249313788......)

n=242201: c242192(5748819394......) = 4510933454560404563 * x242174(1274419020......)

n=242371: c242360(7727110586......) = 129046478396027747 * x242343(5987850798......)

n=242399: c242399(1111111111......) = 1840817793859081991 * x242380(6035964639......)

n=242677: c242677(1111111111......) = 545839518252207133 * x242659(2035600343......)

n=242681: c242666(1711998773......) = 17148411301288926289 * x242646(9983424957......)

n=242989: c242977(1172401666......) = 9127170726763614529 * x242958(1284518172......)

# gr-mfaktc

# 206718 of 300000 Φn(10) factorizations were cracked. 300000 個中 206718 個の Φn(10) の素因数が見つかりました。

# 19753 of 25997 Rprime factorizations were cracked. 25997 個中 19753 個の Rprime の素因数が見つかりました。

### July 16, 20212021 年 7 月 16 日 (Kurt Beschorner)

n=100141: c99468(4334133725......) = 388021169898847081 * c99451(1116983830......)

# ECM B1=5e4, sigma=0:8238397063673048

### July 15, 20212021 年 7 月 15 日 (Kurt Beschorner)

n=100117: c98176(9000000000......) = 2031193439072401 * x98161(4430892610......)

# ECM B1=5e4, sigma=608325200118047

n=100117: x98161(4430892610......) = 2696440775225444243 * x98143(1643237504......)

# ECM B1=5e4, sigma=0:985066099169757

n=100117: x98143(1643237504......) = 22599314490035872963133 * c98120(7271182961......)

# ECM B1=5e4, sigma=0:3481519970690305

n=100123: c98368(9000000000......) = 9495986790660578628569 * c98346(9477687994......)

# ECM B1=5e4, sigma=0:7706668740098573

n=100151: c100143(1148484318......) = 195182992328029698780209 * c100119(5884141361......)

# ECM B1=5e4, sigma=0:3412315986731954

n=100159: c97416(9000000000......) = 2294077591908190603 * c97398(3923145420......)

# ECM B1=5e4, sigma=0:3145807232861379

# 206710 of 300000 Φn(10) factorizations were cracked. 300000 個中 206710 個の Φn(10) の素因数が見つかりました。

### July 13, 20212021 年 7 月 13 日 (Kurt Beschorner)

n=100127: c99456(9000000000......) = 377832246320161 * c99442(2382009499......)

# ECM B1=5e4, sigma=0:5916218765991568

n=238009: c237975(5120936241......) = 2569595782097577361 * x237957(1992895644......)

n=238109: c238094(1182551468......) = 362971620900461357 * x238076(3257972250......)

n=238141: c238126(3164157124......) = 76775463617073517 * x238109(4121312950......)

n=238213: c238201(3685923823......) = 8443565067133467533 * x238182(4365364386......)

n=238321: c238321(1111111111......) = 110254347735257027 * x238304(1007770789......)

n=238321: x238304(1007770789......) = 6345506079461820191 * x238285(1588164564......)

n=238363: c238352(1416966923......) = 4151966938041650191 * x238333(3412760614......)

n=238373: c238352(2133633921......) = 647067953641564321 * x238334(3297387716......)

n=238463: c238453(1211321595......) = 72987184124448791 * x238436(1659636016......)

n=238519: c238489(3041421385......) = 3164480296920479987 * x238470(9611124420......)

n=238519: x238470(9611124420......) = 9306113223942348311 * x238452(1032775358......)

n=238529: c238529(1111111111......) = 389772471859069751 * x238511(2850665943......)

n=238801: c238801(1111111111......) = 906082008506696237 * x238783(1226280955......)

n=238829: c238790(1889955863......) = 539570526711522067 * x238772(3502704038......)

n=238841: c238834(5815116173......) = 14448740812829463449 * x238815(4024652562......)

n=238877: c238877(1111111111......) = 1098478068109533043 * x238859(1011500496......)

n=238939: c238931(1298934993......) = 153826472157965951 * x238913(8444157730......)

n=238967: c238959(2980539962......) = 6665190548976354037 * x238940(4471800078......)

n=238991: c238962(3477211537......) = 178598081962577609 * x238945(1946947861......)

n=239017: c239005(5722778011......) = 1654584046272041707 * x238987(3458741200......)

n=239017: x238987(3458741200......) = 2765395497803466001 * x238969(1250722077......)

n=239137: c239137(1111111111......) = 1158162972130192267 * x239118(9593737132......)

n=239179: c239171(4942043592......) = 1942906275108923477 * x239153(2543634582......)

n=239243: c239243(1111111111......) = 266973401035237307 * x239225(4161879448......)

n=239383: c239383(1111111111......) = 705283043511250961 * x239365(1575411632......)

n=239489: c239472(2125019760......) = 266636372492249401 * x239454(7969729490......)

n=239539: c239511(5192978294......) = 775749901631316679 * x239493(6694139803......)

n=239597: c239581(1875854704......) = 15777435163246474121 * x239562(1188947813......)

n=239623: c239599(1041767135......) = 323810598620003773 * x239581(3217211357......)

n=239711: c239711(1111111111......) = 1639072928354663071 * x239692(6778899778......)

n=239713: c239713(1111111111......) = 341855301555073693 * x239695(3250238057......)

n=239843: c239843(1111111111......) = 14363619840611921471 * x239823(7735592583......)

n=239857: c239847(2276358604......) = 15272788487208549013 * x239828(1490466922......)

n=239873: c239847(1259686588......) = 1809085772154686117 * x239828(6963111466......)

n=239893: c239872(5203421343......) = 1515179303732296831 * x239854(3434195102......)

n=239933: c239926(3859100683......) = 5007590462986303603 * x239907(7706502183......)

n=240011: c240011(1111111111......) = 581140835030942213 * x239993(1911948092......)

n=240049: c240018(3272424050......) = 1084330497971699591 * x240000(3017921249......)

n=240173: c240173(1111111111......) = 136934337649369849 * x240155(8114189108......)

n=240319: c240313(1155869859......) = 3241859460135507803 * x240294(3565453326......)

n=240379: c240372(1650831968......) = 331030660952250563 * x240354(4986945814......)

n=240433: c240412(1764284113......) = 397376014873846187 * x240394(4439835439......)

n=240491: c240474(3681926152......) = 196509787303099397 * x240457(1873660443......)

n=240503: c240495(6999919241......) = 133312749006870721 * x240478(5250750055......)

n=240769: c240760(8182345513......) = 15139366593251813351 * x240741(5404681539......)

n=240883: c240857(2583915046......) = 2829718729425809173 * x240838(9131349415......)

n=240893: c240876(1104157648......) = 1591525588832804719 * x240857(6937731043......)

# gr-mfaktc

# 206707 of 300000 Φn(10) factorizations were cracked. 300000 個中 206707 個の Φn(10) の素因数が見つかりました。

# 19745 of 25997 Rprime factorizations were cracked. 25997 個中 19745 個の Rprime の素因数が見つかりました。

### July 13, 20212021 年 7 月 13 日 (Makoto Kamada)

n=65568: c21825(1000000000......) = 87276233048353 * c21811(1145787306......)

n=64242: c20643(6000041181......) = 63268096740571 * c20629(9483517745......)

n=64258: c30059(9376935249......) = 91602477000647 * c30046(1023655206......)

n=64770: c16129(1098890109......) = 60004832302771 * c16115(1831336023......)

# 206694 of 300000 Φn(10) factorizations were cracked. 300000 個中 206694 個の Φn(10) の素因数が見つかりました。

### July 12, 20212021 年 7 月 12 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=96401: c96401(1111111111......) = 2879432598959913813557347 * c96376(3858784926......)

# ECM B1=5e4, sigma=2455032047814037

n=96457: c96457(1111111111......) = 412145967998115070364051763403 * c96427(2695916489......)

# ECM B1=5e4, sigma=523617785980939

# 206692 of 300000 Φn(10) factorizations were cracked. 300000 個中 206692 個の Φn(10) の素因数が見つかりました。

# 19733 of 25997 Rprime factorizations were cracked. 25997 個中 19733 個の Rprime の素因数が見つかりました。

### July 11, 20212021 年 7 月 11 日 (Kurt Beschorner)

n=1269: c814(5686487483......) = 541520087299201982040396188910708534378319 * c773(1050097238......)

# ECM B1=43e6, sigma=0:932524933627175

n=30001: c28404(9000000000......) = 5336322542252166455873929 * x28380(1686554725......)

# ECM B1=25e4, sigma=0:2603019868468078

n=30001: x28380(1686554725......) = 279579714362022366270782281 * c28353(6032464584......)

# ECM B1=25e4, sigma=0:6308082884044570

# 206690 of 300000 Φn(10) factorizations were cracked. 300000 個中 206690 個の Φn(10) の素因数が見つかりました。

plain text versionプレーンテキスト版