Changes of Phin10.txt <March 2021>

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March 28, 2021 2021 年 3 月 28 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=39989: c39989(1111111111......) = 284793838539222508987728986561 * c39959(3901457688......)

# ECM B1=5e4, sigma=9042961611972796

n=40031: c40008(5147908658......) = 15528140726021009080339759 * c39983(3315212522......)

# ECM B1=5e4, sigma=2446785030476167

# 202015 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 202015 個の Φ_n(10) の素因数が見つかりました。

# 19677 of 25997 R_prime factorizations were cracked. 25997 個中 19677 個の R_prime の素因数が見つかりました。

March 26, 2021 2021 年 3 月 26 日 (Kurt Beschorner)

n=9285: c4934(2698128430......) = 121167118788342318909335442231775438016191 * c4893(2226782692......)

# ECM B1=3e6, sigma=0:5397596929722729

March 24, 2021 2021 年 3 月 24 日 (Kurt Beschorner)

n=2231: c2002(8919871357......) = 127269517286008733272752480463187 * c1970(7008647119......)

# ECM B1=11e6, sigma=0:2945844318283144

March 23, 2021 2021 年 3 月 23 日 (Kurt Beschorner)

n=6029: c6008(1426908852......) = 459714139684213098474058511602532231 * c5972(3103904642......)

# ECM B1=1e6, sigma=0:5767151061

n=12255: c6021(5287121256......) = 4897985075684847789326555366233201 * c5988(1079448216......)

# ECM B1=1e6, sigma=0:8775605246208353

n=14291: c13800(9000000000......) = 6039237541399466426719 * c13779(1490254347......)

# ECM B1=5e4, sigma=3513949041793941

n=218357: c218348(2559611133......) = 2690881573780188277 * c218329(9512165673......)

# gr-mfaktc

n=218423: c218423(1111111111......) = 142604952511460837 * c218405(7791532422......)

# gr-mfaktc

n=218437: c218437(1111111111......) = 3630746879089334951 * c218418(3060282493......)

# gr-mfaktc

n=218447: c218435(2054645476......) = 187571225207482481 * c218418(1095394815......)

# gr-mfaktc

n=218453: c218425(2233318076......) = 6466974568295418449 * c218406(3453420224......)

# gr-mfaktc

n=218579: c218534(6406215402......) = 2308667747769448547 * c218516(2774853769......)

# gr-mfaktc

n=218737: c218725(7828192211......) = 1259089952831991481 * c218707(6217341496......)

# gr-mfaktc

n=218849: c218824(2334879523......) = 748394254720802201 * c218806(3119852282......)

# gr-mfaktc

n=219019: c219011(4091230964......) = 581568790783580801 * c218993(7034818631......)

# gr-mfaktc

n=219059: c219047(3971051484......) = 324375436583765803 * c219030(1224214609......)

# gr-mfaktc

n=219097: c219078(1039863995......) = 216806336018574361 * c219060(4796280471......)

# gr-mfaktc

n=219119: c219119(1111111111......) = 76221314990483053 * c219102(1457743298......)

# gr-mfaktc

n=219217: c219201(3392125633......) = 359932060960957879 * c219183(9424349763......)

# gr-mfaktc

n=219437: c219430(2813034239......) = 1088226020470197013 * c219412(2584972410......)

# gr-mfaktc

n=219523: c219523(1111111111......) = 743459349217286249 * c219505(1494514948......)

# gr-mfaktc

n=219851: c219835(2440645454......) = 6201071715484499239 * c219816(3935844587......)

# gr-mfaktc

n=219881: c219858(1321065748......) = 2040172648096777787 * c219839(6475264480......)

# gr-mfaktc

n=219937: c219937(1111111111......) = 3068762748834315893 * c219918(3620713629......)

# gr-mfaktc

# 202014 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 202014 個の Φ_n(10) の素因数が見つかりました。

# 19676 of 25997 R_prime factorizations were cracked. 25997 個中 19676 個の R_prime の素因数が見つかりました。

March 12, 2021 2021 年 3 月 12 日 (Martin Hopf)

n=32768: c16385(1000000000......) = 1702047085242613845984907230501142529 * c16348(5875278120......)

# ECM B1=12e6, sigma=1970598063344121

# https://chat.stackexchange.com/transcript/message/57319134#57319134

# This is the first known prime factor of the generalized Fermat number F_14(10).

# http://www.prothsearch.com/GFN10.html

# 202008 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 202008 個の Φ_n(10) の素因数が見つかりました。

March 19, 2021 2021 年 3 月 19 日 (Kurt Beschorner)

n=17509: c17466(2074306437......) = 32231159497750136397559 * c17443(6435717701......)

# ECM B1=5e4, sigma=0:6831872783432326

n=33344: c16640(9999999999......) = 14555126684990568267049793 * c16615(6870431440......)

# ECM B1=25e4, sigma=860331931532703

# 202007 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 202007 個の Φ_n(10) の素因数が見つかりました。

March 17, 2021 2021 年 3 月 17 日 (Kurt Beschorner)

n=216061: c216050(7535137467......) = 444294179035386679 * c216033(1695979335......)

# gr-mfaktc

n=216173: c216153(5593005529......) = 2620145763709472083 * x216135(2134616175......)

# gr-mfaktc

n=216173: x216135(2134616175......) = 4492558041766676551 * c216116(4751449298......)

# gr-mfaktc

n=216217: c216217(1111111111......) = 79272808155104089 * c216200(1401629558......)

# gr-mfaktc

n=216259: c216259(1111111111......) = 481206912003367973 * c216241(2309009042......)

# gr-mfaktc

n=216263: c216255(1015370979......) = 6713050763412206831 * c216236(1512532848......)

# gr-mfaktc

n=216289: c216274(8534229521......) = 242877599855516081 * c216257(3513798524......)

# gr-mfaktc

n=216397: c216387(4226700463......) = 918570902304602483 * c216369(4601387277......)

# gr-mfaktc

n=216553: c216547(1282722738......) = 1056821536320251609 * c216529(1213755297......)

# gr-mfaktc

n=216607: c216589(8075913303......) = 280177866272310089 * c216572(2882423729......)

# gr-mfaktc

n=216791: c216762(5783093387......) = 112237611780555067 * c216745(5152544940......)

# gr-mfaktc

n=216803: c216784(3091795704......) = 1221839307263193919 * c216766(2530443803......)

# gr-mfaktc

n=216841: c216829(3298449684......) = 265297751967254843 * c216812(1243301030......)

# gr-mfaktc

n=216901: c216846(1296062010......) = 83010407277496357 * c216829(1561324721......)

# gr-mfaktc

n=216919: c216895(2461087115......) = 612630691893583483 * x216877(4017244235......)

# gr-mfaktc

n=216919: x216877(4017244235......) = 5648418101747030627 * c216858(7112158064......)

# gr-mfaktc

n=216967: c216953(1040107998......) = 2212548886227952523 * c216934(4700949230......)

# gr-mfaktc

n=216991: c216991(1111111111......) = 580775976090633203 * c216973(1913149229......)

# gr-mfaktc

n=217241: c217241(1111111111......) = 5525663368197964493 * c217222(2010819402......)

# gr-mfaktc

n=217333: c217313(8993316376......) = 1303822388089141169 * c217295(6897654510......)

# gr-mfaktc

n=217337: c217337(1111111111......) = 131154899865549871 * c217319(8471746860......)

# gr-mfaktc

n=217351: c217335(5928872242......) = 3307729271035393999 * c217317(1792429717......)

# gr-mfaktc

n=217361: c217345(9959095352......) = 470796671813983213 * c217328(2115370806......)

# gr-mfaktc

n=217409: c217396(3955861301......) = 1273104982048073929 * c217378(3107254592......)

# gr-mfaktc

n=217429: c217416(2670787231......) = 1236262173601177157 * c217398(2160372847......)

# gr-mfaktc

n=217457: c217438(1139054312......) = 1552635369950503037 * c217419(7336264101......)

# gr-mfaktc

n=217577: c217577(1111111111......) = 347981830922553559 * c217559(3193014727......)

# gr-mfaktc

n=217691: c217691(1111111111......) = 8968429992518669293 * c217672(1238913736......)

# gr-mfaktc

# 202006 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 202006 個の Φ_n(10) の素因数が見つかりました。

# 19671 of 25997 R_prime factorizations were cracked. 25997 個中 19671 個の R_prime の素因数が見つかりました。

March 15, 2021 2021 年 3 月 15 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=39551: c39551(1111111111......) = 127249419826060634887483 * c39527(8731757776......)

# ECM B1=5e4, sigma=427721010480129

# 201999 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 201999 個の Φ_n(10) の素因数が見つかりました。

# 19664 of 25997 R_prime factorizations were cracked. 25997 個中 19664 個の R_prime の素因数が見つかりました。

March 10, 2021 2021 年 3 月 10 日 (Kurt Beschorner)

n=41460M: c5487(9870252177......) = 42584355582188611283977899841 * c5459(2317811797......)

# ECM B1=1e6, sigma=0:598575133130437

March 9, 2021 2021 年 3 月 9 日 (Kurt Beschorner)

n=20709: c12505(1012109917......) = 81963692022889 * c12491(1234827143......)

# ECM B1=25e4

n=41460M: c5514(1137267300......) = 115221706621203870779319181 * c5487(9870252177......)

# Prime95 B1=1e6, sigma=1195145782977316

n=100029: c66676(1303763338......) = 74765744916449557 * c66659(1743797697......)

# Prime95 B1=5e4, sigma=7101287492144763

n=214517: c214517(1111111111......) = 169849724698220431 * c214499(6541730421......)

# gr-mfaktc

n=214559: c214553(2589284350......) = 87609636802595987 * c214536(2955478923......)

# gr-mfaktc

n=214771: c214771(1111111111......) = 2714844054728703643 * c214752(4092725359......)

# gr-mfaktc

n=214807: c214795(3094572068......) = 189994165251144599 * c214778(1628772159......)

# gr-mfaktc

n=214891: c214881(3143974230......) = 813853396098087481 * c214863(3863071955......)

# gr-mfaktc

n=215063: c215063(1111111111......) = 8532813612588490013 * c215044(1302162641......)

# gr-mfaktc

n=215273: c215273(1111111111......) = 633951089398102243 * c215255(1752676396......)

# gr-mfaktc

n=215309: c215309(1111111111......) = 6966379602380889671 * c215290(1594962052......)

# gr-mfaktc

n=215393: c215393(1111111111......) = 318869250481125803 * c215375(3484535148......)

# gr-mfaktc

n=215447: c215447(1111111111......) = 642429912177243227 * c215429(1729544484......)

# gr-mfaktc

n=215461: c215447(1450773486......) = 309820478254881877 * c215429(4682626192......)

# gr-mfaktc

n=215687: c215676(5612020201......) = 4059623872828785997 * c215658(1382399053......)

# gr-mfaktc

n=215689: c215682(1515132162......) = 513375898736447293 * c215664(2951311439......)

# gr-mfaktc

# 201998 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 201998 個の Φ_n(10) の素因数が見つかりました。

# 19663 of 25997 R_prime factorizations were cracked. 25997 個中 19663 個の R_prime の素因数が見つかりました。

March 3, 2021 2021 年 3 月 3 日 (Kurt Beschorner)

n=15625: c12501(1000000000......) = 27018407327495281843751 * c12478(3701180413......)

# Prime95 B1=25e4, sigma=2934847061157984

n=212501: c212488(2929241495......) = 2611533311537741893 * c212470(1121655803......)

# gr-mfaktc

n=212561: c212515(5513476615......) = 81333213955703357 * c212498(6778874640......)

# gr-mfaktc

n=212669: c212661(7256392684......) = 1870192711203654031 * c212643(3880024042......)

# gr-mfaktc

n=212671: c212652(7342236999......) = 131771572842190283 * c212635(5571943053......)

# gr-mfaktc

n=212981: c212981(1111111111......) = 109591767200010877 * c212964(1013863668......)

# gr-mfaktc

n=212987: c212966(1635228620......) = 90453943927871123 * x212949(1807802456......)

# gr-mfaktc

n=212987: x212949(1807802456......) = 1152268668213861719 * c212931(1568907067......)

# gr-mfaktc

n=213043: c213024(3495578454......) = 4037359481605357883 * c213005(8658080782......)

# gr-mfaktc

n=213253: c213230(1792225502......) = 146443392906383203 * c213213(1223835003......)

# gr-mfaktc

n=213289: c213274(1932906476......) = 3713522190482076277 * c213255(5205048945......)

# gr-mfaktc

n=213307: c213266(2165277548......) = 574323045203972521 * c213248(3770138716......)

# gr-mfaktc

n=213599: c213599(1111111111......) = 88642799975401627 * c213582(1253470232......)

# gr-mfaktc

n=213623: c213601(5946174430......) = 4383369634089460591 * c213583(1356530460......)

# gr-mfaktc

n=213637: c213622(3174197392......) = 2357988751072066997 * c213604(1346146113......)

# gr-mfaktc

n=213713: c213698(1191816548......) = 620749908442090159 * c213680(1919962504......)

# gr-mfaktc

n=213833: c213819(2076995894......) = 87340218115042163 * x213802(2378052104......)

# gr-mfaktc

n=213833: x213802(2378052104......) = 168807630196434121 * c213785(1408734961......)

# gr-mfaktc

n=213881: c213874(6493742207......) = 2396838986481378227 * c213856(2709294301......)

# gr-mfaktc

n=214043: c214028(9518222485......) = 2080270622974631239 * c214010(4575473200......)

# gr-mfaktc

n=214063: c214044(3004094961......) = 280958440224711311 * c214027(1069231078......)

# gr-mfaktc

n=214309: c214309(1111111111......) = 5310312998658512521 * c214290(2092364633......)

# gr-mfaktc

n=214373: c214373(1111111111......) = 458195196789972427 * c214355(2424973284......)

# 201991 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 201991 個の Φ_n(10) の素因数が見つかりました。

# 19656 of 25997 R_prime factorizations were cracked. 25997 個中 19656 個の R_prime の素因数が見つかりました。

March 1, 2021 2021 年 3 月 1 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=58411: c58411(1111111111......) = 2539839131939281205390129 * c58386(4374730262......)

# ECM B1=5e4, sigma=8976113873031808

n=94597: c94597(1111111111......) = 2042773772655964269063455569 * c94569(5439227417......)

# ECM B1=5e4, sigma=4044242220692006

# 201986 of 300000 Φ_n(10) factorizations were cracked. 300000 個中 201986 個の Φ_n(10) の素因数が見つかりました。

# 19652 of 25997 R_prime factorizations were cracked. 25997 個中 19652 個の R_prime の素因数が見つかりました。

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