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August 31, 2021 2021 年 8 月 31 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=42349: c42349(1111111111......) = 34068973227298816567389271 * c42323(3261357786......)

# ECM B1=5e4, sigma=3894331124445607

# 206758 of 300000 Φn(10) factorizations were cracked. 300000 個中 206758 個の Φn(10) の素因数が見つかりました。

# 19792 of 25997 Rprime factorizations were cracked. 25997 個中 19792 個の Rprime の素因数が見つかりました。

August 30, 2021 2021 年 8 月 30 日 (Yousuke Koide)

n=890: c255(2335609041......) = 630859966703635424146382843107732835487998079409968772589281 * c195(3702262252......)

# ECM B1=300000000, sigma=2:7216577815049336811

August 27, 2021 2021 年 8 月 27 日 (Kurt Beschorner)

n=60001: c57896(4182863896......) = 5065105765505227441465483 * c57871(8258196552......)

# ECM B1=25e4, sigma=0:1208954549013749

n=252013: x251998(1882792045......) = 18358839216615453533 * x251979(1025550702......)

n=252079: x252073(1101946224......) = 90712887425683031 * x252056(1214762593......)

n=252181: x252172(1197935410......) = 1392425437132051477 * x252153(8603228427......)

n=252233: x252233(1111111111......) = 1111886761656101329 * x252214(9993024014......)

n=252313: x252288(8181437848......) = 2817295116682243031 * x252270(2904004553......)

n=252533: x252503(3305722063......) = 120123691326229889 * x252486(2751931801......)

n=252541: x252534(1047553623......) = 85713936029669039 * x252517(1222150879......)

n=252727: x252714(1072901674......) = 262063627740335203 * x252696(4094050303......)

n=252727: x252696(4094050303......) = 1362909995272310893 * x252678(3003903645......)

n=252767: x252751(7439398423......) = 75928273063353239 * x252734(9797929180......)

n=252887: x252879(2816478087......) = 10892926902237539837 * x252860(2585602669......)

# gr-mfaktc

August 25, 2021 2021 年 8 月 25 日 (Kurt Beschorner)

n=249107: c249096(2206097866......) = 87054406307185003 * c249079(2534159912......)

n=249133: c249111(9580635887......) = 15055734325953684761 * c249092(6363446431......)

n=249233: c249227(2229056509......) = 952183344616210477 * c249209(2340995063......)

n=249497: c249483(1502485435......) = 136487899802507879 * c249466(1100819514......)

n=249533: c249500(3877932177......) = 11147015626643624677 * c249481(3478897228......)

n=249583: c249583(1111111111......) = 771905387595091523 * c249565(1439439507......)

n=249727: c249727(1111111111......) = 4707843178118370067 * c249708(2360127704......)

n=249857: c249857(1111111111......) = 381613159797916027 * c249839(2911616338......)

n=249989: c249966(9194824187......) = 146041027730531987 * c249949(6296055519......)

n=250031: x250022(4571906773......) = 1064302112414759123 * c250004(4295685143......)

n=250153: x250142(1074926698......) = 202047029602899401 * c250124(5320180654......)

n=250199: x250190(2913982591......) = 157290852985743403 * c250173(1852607787......)

n=250433: x250433(1111111111......) = 988359342121314043 * c250415(1124197509......)

n=250501: x250487(2052676489......) = 13780805198050651723 * c250468(1489518543......)

n=250619: x250603(1235977169......) = 7485114914614458227 * c250584(1651246752......)

n=250693: x250666(2011414529......) = 307519012975842893 * c250648(6540781040......)

n=250741: x250741(1111111111......) = 121841019765478757 * c250723(9119351703......)

n=250871: x250871(1111111111......) = 315008549200864039 * c250853(3527241130......)

n=250951: x250937(1542245433......) = 103064735947687721 * c250920(1496385178......)

n=250993: x250978(3768671382......) = 1920252971241238043 * c250960(1962591095......)

n=251443: x251426(3481529623......) = 8592645122685955963 * c251407(4051755394......)

n=251539: x251526(3434172556......) = 632711389633213361 * c251508(5427707818......)

n=251609: x251600(1436572191......) = 87626335953845597 * c251583(1639429716......)

n=251809: x251781(2755415659......) = 78692798083976191 * c251764(3501483905......)

n=251857: x251857(1111111111......) = 1197240147374305747 * c251838(9280603507......)

n=251903: x251891(1468603679......) = 2993653572847659037 * c251872(4905723538......)

# gr-mfaktc

August 23, 2021 2021 年 8 月 23 日 (Bo Chen, Wenjie Fang, Alfred Eichhorn, Danilo Nitsche and Kurt Beschorner)

n=1008: c249(8970718835......) = 11824792503914776383865492901019100670460517256833712771719617457 * p185(7586364693......)

# SNFS

msieve-logfile abstract:
- SNFS-difficult = 288; setting target matrix density to 130 
- begin with 729425851 relations and 611973089 unique ideals
- found 31674616 cycles, need 31654077
- commencing linear algebra      
- matrix is 31654188 x 31654077 
- commencing square root phase
- read 15822694 cycles
- cycles contain 56703378 unique relations
- read 56703378 relations
- multiplying 56703378 relations
- multiply complete, coefficients have about 1565.85 million bits
- initial square root is modulo 10567147
- GCD is N, no factor found
- reading relations for dependency 2
- read 15828748 cycles
- cycles contain 56713100 unique relations
- read 56713100 relations
- multiplying 56713100 relations
- multiply complete, coefficients have about 1566.11 million bits
- initial square root is modulo 10596463
- p65 factor: 11824792503914776383865492901019100670460517256833712771719617457
- p185 factor: 75863646933147015591828268401923986261986397730196168081539267851470929961346053360645853358874777126920177958883875403750336775844271700524766982560221150310256906229475838502330430737

# 1194 of 300000 Φn(10) factorizations were finished. 300000 個中 1194 個の Φn(10) の素因数分解が終わりました。

August 23, 2021 2021 年 8 月 23 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=96953: c96953(1111111111......) = 276214772174133244027973609 * c96926(4022634641......)

# ECM B1=5e4, sigma=2473481238973593

# 206749 of 300000 Φn(10) factorizations were cracked. 300000 個中 206749 個の Φn(10) の素因数が見つかりました。

# 19783 of 25997 Rprime factorizations were cracked. 25997 個中 19783 個の Rprime の素因数が見つかりました。

August 14, 2021 2021 年 8 月 14 日 (Kurt Beschorner)

n=25001: c23874(2288239301......) = 1423958178469946843 * c23856(1606956816......)

# ECM B1=25e4, sigma=6874769798876072

n=100038: c33338(9986206153......) = 2547665954419459 * x33323(3919747067......)

n=100038: x33323(3919747067......) = 1041261193881423851268048157 * c33296(3764422500......)

# ECM B1=25e4, sigma=0:871091201473749

August 13, 2021 2021 年 8 月 13 日 (Kurt Beschorner)

n=247193: c247177(7259575408......) = 4154738892974879201 * c247159(1747300033......)

n=247363: c247363(1111111111......) = 2363180191824179107 * c247344(4701762121......)

n=247547: c247537(3343627430......) = 319669233320680631 * c247520(1045964729......)

n=247553: c247553(1111111111......) = 114722508282800947 * c247535(9685205874......)

n=247633: c247622(3759028405......) = 168816021060981031 * x247605(2226701222......)

n=247633: x247605(2226701222......) = 894560715443116559 * c247587(2489156056......)

n=247889: c247889(1111111111......) = 563894376863364083 * c247871(1970424172......)

n=247993: c247974(5607341227......) = 478823649772305347 * c247957(1171066055......)

n=248033: c248021(1389245212......) = 178004179100256809 * x248003(7804565149......)

n=248033: x248003(7804565149......) = 516122012055527827 * x247986(1512155065......)

n=248033: x247986(1512155065......) = 13498457789904413791 * c247967(1120242837......)

n=248057: c248039(1869076332......) = 10375862582851803151 * c248020(1801369589......)

n=248063: c248063(1111111111......) = 131294320682809841 * x248045(8462750752......)

n=248063: x248045(8462750752......) = 2884638341526641159 * c248027(2933730246......)

n=248077: c248068(4201591084......) = 2451156130512969197 * c248050(1714126257......)

n=248257: c248257(1111111111......) = 6731288693298029213 * c248238(1650666256......)

n=248291: c248291(1111111111......) = 1668367724874117671 * c248272(6659869371......)

n=248371: c248371(1111111111......) = 89866090063452077 * c248354(1236407537......)

n=248389: c248389(1111111111......) = 155723715218622769 * c248371(7135143863......)

n=248401: c248380(4390439999......) = 4450745646516750613 * c248361(9864504396......)

n=248441: c248441(1111111111......) = 198861728373110533 * c248423(5587355194......)

n=248461: c248461(1111111111......) = 2410320006844857161 * c248442(4609807444......)

n=248477: c248477(1111111111......) = 3976672866528714479 * c248458(2794072201......)

n=248749: c248734(5395740407......) = 1430191949877367387 * c248716(3772738623......)

n=248753: c248738(4168158909......) = 261798984453920951 * c248721(1592121878......)

n=248903: c248879(4393141350......) = 124621874713810157 * c248862(3525176748......)

# gr-mfaktc

# 206748 of 300000 Φn(10) factorizations were cracked. 300000 個中 206748 個の Φn(10) の素因数が見つかりました。

# 19782 of 25997 Rprime factorizations were cracked. 25997 個中 19782 個の Rprime の素因数が見つかりました。

August 10, 2021 2021 年 8 月 10 日 (Kurt Beschorner)

n=12499: c11988(4283798346......) = 180873749120768304096743832397 * c11959(2368391415......)

# ECM B1=1e6, sigma=0:2360108797460259

n=246073: c246073(1111111111......) = 1284742555695237071 * c246054(8648511767......)

n=246167: c246167(1111111111......) = 440577764441424733 * c246149(2521940962......)

n=246203: c246203(1111111111......) = 6658799935701242363 * c246184(1668635672......)

n=246277: c246277(1111111111......) = 267947398785792769 * c246259(4146750877......)

n=246317: c246293(9710191539......) = 1723327757869164361 * c246275(5634558774......)

n=246439: c246419(8304261072......) = 689849409816874159 * c246402(1203778818......)

n=246641: c246622(4718556055......) = 4138171613265442969 * c246604(1140251419......)

n=246643: c246618(2007791891......) = 13398861746003854591 * c246599(1498479444......)

n=246707: c246707(1111111111......) = 9886542728000483681 * c246688(1123862144......)

n=246709: c246672(9168678331......) = 7121743485190998151 * c246654(1287420468......)

n=246769: c246769(1111111111......) = 5206464189926881867 * c246750(2134099209......)

n=246773: c246741(7317430626......) = 1428288763843931201 * c246723(5123215144......)

n=246889: c246866(3462673086......) = 100025213957347163 * c246849(3461800229......)

n=246937: c246937(1111111111......) = 276150306441544961 * c246919(4023573703......)

n=246979: c246979(1111111111......) = 9056964824036377187 * c246960(1226802944......)

# gr-mfaktc

# 206737 of 300000 Φn(10) factorizations were cracked. 300000 個中 206737 個の Φn(10) の素因数が見つかりました。

# 19771 of 25997 Rprime factorizations were cracked. 25997 個中 19771 個の Rprime の素因数が見つかりました。

August 6, 2021 2021 年 8 月 6 日 (Makoto Kamada)

n=63186: c21045(1275934148......) = 32339342353567 * c21031(3945454840......)

August 5, 2021 2021 年 8 月 5 日 (Kurt Beschorner)

n=10001: c9785(6665999572......) = 2379364506063441109347340961323 * c9755(2801588220......)

# ECM B1=1e6, sigma=0:5656409380718819

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