Changes of Phin10.txt <August 2018>

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August 31, 2018 2018 年 8 月 31 日 (Alfred Reich)

n=21202: c10600(9090909090......) = 8020865521275516337751623 * c10576(1133407494......)

# ECM B1=100000, sigma=1:1520946193

# 140399 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140399 個の Φ_n(10) の素因数が見つかりました。

August 31, 2018 2018 年 8 月 31 日 (Makoto Kamada)

n=109258: c54628(9090909090......) = 369001892225986245652480259 * c54602(2463648366......)

n=109262: c54620(1462431447......) = 7615990431972048482096339 * c54595(1920211770......)

n=109268: c53575(2492466941......) = 23233846059001 * c53562(1072774148......)

n=109282: c54001(1099999999......) = 144404520532849 * c53986(7617490061......)

n=109316: c54626(7714937629......) = 3635538815788609 * 72090787584973681 * c54594(2943634358......)

n=109328: c54632(3665465903......) = 6466585915277927160647329 * c54607(5668317025......)

n=109334: c54666(9090909090......) = 5626350385845361 * c54651(1615773719......)

# P-1 B1=1e6

# 140398 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140398 個の Φ_n(10) の素因数が見つかりました。

August 30, 2018 2018 年 8 月 30 日 (Alfred Reich)

n=21486: c7132(2221509763......) = 140238569997003392752004103694969 * c7100(1584093280......)

# PM1 B1=51000000-51000000

August 30, 2018 2018 年 8 月 30 日 (Makoto Kamada)

n=109154: c54576(9090909090......) = 266455479233969 * c54562(3411792888......)

n=109156: c52631(1541108009......) = 79069054593437329 * c52614(1949065936......)

n=109178: c53821(1099999999......) = 60023331637887211931 * c53801(1832620699......)

n=109184: c54528(9999999999......) = 10662347142401 * c54515(9378797994......)

n=109185: c55974(4036874651......) = 2070371942954170865311 * c55953(1949830640......)

n=109196: c54591(1133395312......) = 99184787656109 * c54577(1142710832......)

n=109202: c54600(9090909090......) = 27289081838881 * c54587(3331335639......)

n=109204: c52175(8044485917......) = 25904338518581577569 * c52156(3105458922......)

n=109215: c58145(4017074266......) = 5909705647855092271 * c58126(6797418528......)

n=109245: c58257(1109988900......) = 3861607766181769951 * c58238(2874421658......)

# P-1 B1=1e6

# 140395 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140395 個の Φ_n(10) の素因数が見つかりました。

August 29, 2018 2018 年 8 月 29 日 (Makoto Kamada)

n=109066: c52112(2171210794......) = 23195272681939 * c52098(9360574562......)

n=109106: c51318(9304715757......) = 587612454594838754863 * c51298(1583478308......)

n=109108: c54552(9900990099......) = 403128585155179711688909 * c54529(2456037716......)

n=109118: c54549(1561506991......) = 49942948510601 * c54535(3126581505......)

n=109125: c57601(1000000000......) = 496907971253451981001 * c57580(2012445076......)

n=109132: c54555(1350374381......) = 11060557010849 * c54542(1220891841......)

n=109136: c51553(1000000009......) = 196505713167041 * c51538(5088910616......)

n=109148: c50328(1115129416......) = 3377102463221905873781 * c50306(3302030152......)

# P-1 B1=1e6

# 140390 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140390 個の Φ_n(10) の素因数が見つかりました。

August 28, 2018 2018 年 8 月 28 日 (Makoto Kamada)

n=108974: c51594(7198785274......) = 65019228126001 * c51581(1107177904......)

n=108975: c58081(1000010000......) = 40254554528855691751 * c58061(2484215790......)

n=109005: c52401(6952861999......) = 68956705796551 * c52388(1008293815......)

n=109006: c54492(6199645033......) = 868484916735773 * c54477(7138460224......)

n=109024: c54490(7055604513......) = 695397597701594865089 * c54470(1014614450......)

n=109034: c54516(9090909090......) = 10372079495845117 * c54500(8764789254......)

n=109035: c58081(2730210554......) = 95491940222874511 * c58064(2859100515......)

n=109048: c53089(1000099999......) = 674705023411341569 * c53071(1482277388......)

# P-1 B1=1e6

# 140387 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140387 個の Φ_n(10) の素因数が見つかりました。

August 27, 2018 2018 年 8 月 27 日 (Makoto Kamada)

n=108872: c52555(3061996160......) = 69786130044815593 * c52538(4387685860......)

n=108874: c54419(3035178524......) = 26658634991350561 * c54403(1138534859......)

n=108886: c54411(1811241529......) = 68799638917253 * c54397(2632632318......)

n=108896: c52473(2616260261......) = 332506318955598538241 * c52452(7868302382......)

n=108898: c54448(9090909090......) = 52238722776133 * c54435(1740262511......)

n=108916: c53556(1575831200......) = 67277188811401658281 * c53536(2342296443......)

n=108926: c53836(5150574498......) = 764594134068967 * c53821(6736351050......)

n=108928: c50689(1000000000......) = 27900703334170753 * c50672(3584139037......)

n=108938: c54468(9090909090......) = 189951506316841 * c54454(4785910502......)

n=108956: c54471(3029039186......) = 1443754400567439940769 * c54450(2098029405......)

n=108958: c53977(1099999999......) = 2806358756465208407 * c53958(3919669919......)

# P-1 B1=1e6

# 140384 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140384 個の Φ_n(10) の素因数が見つかりました。

August 26, 2018 2018 年 8 月 26 日 (Alfred Reich)

n=20462: c9412(8263923515......) = 21563115446666496032137345331 * c9384(3832434852......)

# ECM B1=170000, sigma=1:497406963

n=21440: c8441(1021054959......) = 41552526726743419148078513921 * c8412(2457263228......)

# ECM B1=100000, sigma=1:1986456968

n=21450: c4759(7222345469......) = 704791861772202224948348851 * c4733(1024748704......)

# ECM B1=100000, sigma=1:918406273

n=21474: c7121(8572190000......) = 153251712233599221204247 * c7098(5593536199......)

# ECM B1=100000, sigma=1:3375576643

n=21918: c6712(2137918981......) = 619953734021404852035443881 * c6685(3448513758......)

# ECM B1=170000, sigma=0:1596234005193450961

n=21968: c10960(5511963868......) = 131967372331453935484566049 * c10934(4176762612......)

# ECM B1=160000, sigma=0:17940744125842620141

n=22548: c7476(4015387429......) = 1229984486264439318858574081 * c7449(3264583801......)

# ECM B1=70000, sigma=0:15237407012089595164

n=22950: c5703(1317642353......) = 2240718392252215724353009201 * c5675(5880446011......)

# ECM B1=70000, sigma=0:12298060072169897794

n=23218: c9924(2867765659......) = 145077820152620192902324573 * c9898(1976708539......)

# ECM B1=70000, sigma=0:11360917935673751507

August 25, 2018 2018 年 8 月 25 日 (Alfred Reich)

n=2000: c748(3210722362......) = 2918934658137053157142763595766996896001 * c709(1099963767......)

# ECM B1=80000000, sigma=1:422066992

n=20436: c6235(9689668333......) = 16562591475507178902771829 * c6210(5850333474......)

# ECM B1=60000, sigma=1:2368662722

n=20558: c9669(4824573678......) = 9466808647824196688257013 * c9644(5096304211......)

# ECM

n=21296: c9680(9999999999......) = 85867440837288801489065873 * c9655(1164585773......)

# ECM

n=21354: c7093(2372452749......) = 23645723344281836394211 * c7071(1003332702......)

# ECM B1=110000, sigma=1:3598402187

# 140380 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140380 個の Φ_n(10) の素因数が見つかりました。

August 26, 2018 2018 年 8 月 26 日 (Makoto Kamada)

n=108776: c54364(6053292867......) = 2906402349967510268129 * c54343(2082744279......)

n=108784: c50105(9012281937......) = 4377690545934577 * c50090(2058684103......)

n=108788: c54381(9390199479......) = 292284943402889 * c54367(3212686692......)

n=108801: c56149(9640438738......) = 42302868719959 * c56136(2278908979......)

n=108824: c53270(3865726266......) = 18540431404756630081 * c53251(2085024982......)

n=108825: c57989(1064928703......) = 4563274306182751 * c57973(2333694256......)

n=108826: c54412(9090909090......) = 12539597274350717 * c54396(7249761608......)

n=108832: c51265(1000000000......) = 499905108786082273 * c51247(2000379636......)

n=108842: c54420(9090909090......) = 4155873163832999761 * c54402(2187484731......)

n=108855: c55672(7449144441......) = 1029334590404869951 * c55654(7236854284......)

# P-1 B1=1e6

# 140379 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140379 個の Φ_n(10) の素因数が見つかりました。

August 25, 2018 2018 年 8 月 25 日 (Makoto Kamada)

n=108692: c52417(1009999999......) = 157062569150789 * c52402(6430558251......)

n=108712: c53425(1000099999......) = 154460343712276283257 * c53404(6474801078......)

n=108716: c54356(9900990099......) = 15659491560329 * c54343(6322676608......)

n=108718: c51460(5280039984......) = 11096221237586589529 * c51441(4758412681......)

n=108722: c54360(9090909090......) = 10150637200783 * c54347(8955998437......)

n=108734: c54358(8548759340......) = 118262857782833810881 * 394864678123907820445609 * c54315(1830654701......)

n=108736: c54325(2127863641......) = 58133717153676097 * c54308(3660291729......)

n=108742: c54364(6430819780......) = 15823207292063 * c54351(4064169584......)

n=108748: c52553(8367140862......) = 108627517382614388429973181 * c52527(7702597890......)

n=108764: c54364(6832603879......) = 378181883729035402445581 * c54341(1806697827......)

# P-1 B1=1e6

# 140376 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140376 個の Φ_n(10) の素因数が見つかりました。

August 24, 2018 2018 年 8 月 24 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=24859: c24859(1111111111......) = 732758049762982336409489 * c24835(1516341050......)

# ECM B1=5e4, sigma=13838281173430418896

# 140372 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140372 個の Φ_n(10) の素因数が見つかりました。

# 13855 of 17984 R_prime factorizations were cracked. 17984 個中 13855 個の R_prime の素因数が見つかりました。

August 24, 2018 2018 年 8 月 24 日 (biodoc)

# via yoyo@home

n=5860L: c1155(1392004949......) = 2837267642075799218843167929960912181 * c1118(4906146070......)

# ECM B1=11000000, sigma=0:4074972538232797766

August 25, 2018 2018 年 8 月 25 日 (Makoto Kamada)

n=108674: c53455(3373995086......) = 33863448383179 * 1431789691925760877 * c53423(6958794847......)

# P-1 B1=1e6

August 24, 2018 2018 年 8 月 24 日 (Makoto Kamada)

n=108578: c54035(1832983785......) = 3107651137435982213 * c54016(5898293291......)

n=108585: c54432(9990000009......) = 2144538826077601 * c54417(4658344203......)

n=108596: c51073(1009999999......) = 337306528817969 * 643813433577581 * c51043(4650895613......)

n=108608: c54272(9999999999......) = 15203659445698049 * c54256(6577363848......)

n=108615: c53376(9009099100......) = 78223254376801 * 178463153316241 * c53348(6453523881......)

n=108616: c54304(9999000099......) = 24175243650470953 * c54288(4136049358......)

n=108622: c54288(1243669407......) = 79186030858877 * c54274(1570566669......)

n=108656: c54303(8932574291......) = 36252014729208977 * c54287(2464021477......)

# P-1 B1=1e6

# 140371 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140371 個の Φ_n(10) の素因数が見つかりました。

August 23, 2018 2018 年 8 月 23 日 (Makoto Kamada)

n=108508: c54243(2173574013......) = 97294641785569 * 16047143723208949180769 * c54207(1392155563......)

n=108524: c50042(2324113292......) = 42233808876689 * c50028(5502968721......)

n=108525: c57829(1513068324......) = 944980721530965039001 * c57808(1601163166......)

n=108532: c52921(1009999999......) = 2314789344752441 * c52905(4363248009......)

n=108554: c54276(9090909090......) = 151694829204053 * c54262(5992893191......)

n=108555: c57883(5112541050......) = 10246175574361 * c57870(4989706660......)

# P-1 B1=1e6

# 140366 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140366 個の Φ_n(10) の素因数が見つかりました。

August 22, 2018 2018 年 8 月 22 日 (Makoto Kamada)

n=108436: c54216(9900990099......) = 123209613959381 * c54202(8035890853......)

n=108442: c53245(1099999999......) = 542162231841211 * c53230(2028912999......)

n=108448: c54203(1024555522......) = 13852136459297 * c54189(7396371853......)

n=108452: c51323(1753899270......) = 131940873312885411316241981 * c51297(1329307004......)

n=108454: c53749(3695013209......) = 258063700165602943 * c53732(1431822145......)

n=108466: c53754(3621936952......) = 1829063291144303 * c53739(1980214118......)

n=108478: c53425(1099999999......) = 7235559538780847 * c53409(1520269433......)

# P-1 B1=1e6

# 140364 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140364 個の Φ_n(10) の素因数が見つかりました。

August 21, 2018 2018 年 8 月 21 日 (Makoto Kamada)

n=108339: c55435(4615121446......) = 1599374577017449 * 15395427998956237 * c55404(1874308948......)

n=108358: c50977(1099999999......) = 44087547943721 * c50963(2495035562......)

n=108375: c54392(1338053986......) = 1960543239611238902439751 * c54367(6824914436......)

n=108382: c52993(1099999999......) = 181953702273844013 * c52975(6045493915......)

n=108386: c54172(6454942282......) = 29118784309882350383 * 125801641151031593287 * c54133(1762109193......)

n=108406: c53313(2595251833......) = 397923298119761 * c53298(6521990156......)

n=108422: c51833(1099999999......) = 257267963185844183 * c51815(4275697550......)

n=108424: c54196(4991801442......) = 27467496783673 * c54183(1817348512......)

n=108428: c54212(9900990099......) = 18204657847841 * c54199(5438712543......)

# P-1 B1=1e6

# 140361 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140361 個の Φ_n(10) の素因数が見つかりました。

August 20, 2018 2018 年 8 月 20 日 (Makoto Kamada)

n=108296: c54144(9999000099......) = 25528766562706801 * c54128(3916758013......)

n=108315: c55104(9990000009......) = 17853369399219792671013511 * c55079(5595582428......)

n=108334: c54150(1258920338......) = 205435840523099094289 * c54129(6128046282......)

n=108338: c51282(3052013392......) = 27798601151623 * 1180314226631693 * 301100016329558751649 * c51233(3089264342......)

# P-1 B1=1e6

# 140357 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140357 個の Φ_n(10) の素因数が見つかりました。

August 19, 2018 2018 年 8 月 19 日 (Alfred Reich)

n=21932: c10928(9247292335......) = 280184203919702384895969661 * c10902(3300433145......)

# ECM B1=120000, sigma=0:17444867413015209011

n=21934: c9929(3573636185......) = 1175520978158860520822552517829681 * c9896(3040044586......)

# ECM B1=120000, sigma=0:11662054719258358962

August 19, 2018 2018 年 8 月 19 日 (Makoto Kamada)

n=108202: c54092(6543453185......) = 2938796796824533 * c54077(2226575581......)

n=108208: c54072(6875343571......) = 12869644423202257 * c54056(5342294895......)

n=108225: c51832(2300799108......) = 36433193810312963383201 * c51809(6315117802......)

n=108232: c53125(2754014508......) = 53807422465161641513 * c53105(5118279936......)

n=108244: c54120(9900990099......) = 65508856606849 * c54107(1511397177......)

n=108268: c54114(1951054632......) = 12422803194176629 * c54098(1570542978......)

n=108272: c52788(6560560440......) = 613429140190673 * c52774(1069489531......)

# P-1 B1=1e6

# 140355 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140355 個の Φ_n(10) の素因数が見つかりました。

August 18, 2018 2018 年 8 月 18 日 (Makoto Kamada)

n=108104: c54037(2086056065......) = 14082125395007737 * c54021(1481350298......)

n=108112: c51947(6507224315......) = 241462102160593 * c51933(2694925728......)

n=108118: c54046(1674439538......) = 79995703802081 * 83764327086049 * c54018(2498870227......)

n=108124: c54055(1308151093......) = 96314618005729 * c54041(1358206179......)

n=108128: c51818(2612899687......) = 585310410598428840977451521 * c51791(4464126453......)

n=108129: c58320(9009009909......) = 16992920220319 * c58307(5301625496......)

n=108165: c57681(1109988900......) = 83512053524513523388321 * c57658(1329136158......)

n=108171: c57583(1913345471......) = 30300787137875311 * c57566(6314507483......)

n=108172: c54084(9900990099......) = 767009935019729 * c54070(1290855521......)

n=108176: c54080(9999999900......) = 23392753068989921 * c54064(4274828136......)

# P-1 B1=1e6

# 140354 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140354 個の Φ_n(10) の素因数が見つかりました。

August 17, 2018 2018 年 8 月 17 日 (Makoto Kamada)

n=108068: c54020(1804190504......) = 187769734384949 * c54005(9608526688......)

n=108075: c51976(1895115980......) = 64952262323553001 * c51959(2917705885......)

n=108076: c52641(1009999999......) = 1253149650606813743558029 * c52616(8059691829......)

n=108088: c52897(1000099999......) = 8739063482033831147312873969 * c52869(1144401802......)

# P-1 B1=1e6

# 140350 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140350 個の Φ_n(10) の素因数が見つかりました。

August 17, 2018 2018 年 8 月 17 日 (Alfred Reich)

n=20154: c6697(1295447701......) = 3703866997892919454472851447 * c6669(3497554589......)

# ECM B1=70000, sigma=1:1722444242

n=21854: c9325(1000000099......) = 324368055937634027635051 * c9301(3082917943......)

# ECM B1=90000, sigma=0:14055151000866363970

n=21876: c7249(4543276799......) = 14740017427489160313977914021 * c7221(3082273695......)

# ECM B1=90000, sigma=0:2830643875026506366

n=22160: c8807(2861751767......) = 59477588638906902284505761 * c8781(4811479135......)

# ECM B1=130000, sigma=0:5314334326317703951

n=23082: c7647(9067711659......) = 21228833198167443054820152139 * c7619(4271413117......)

# ECM B1=180000, sigma=0:4237838592450866836

n=23578: c11765(2002348972......) = 1506370896523244910611357 * c11741(1329253623......)

# ECM B1=70000, sigma=1:617054166

n=23928: c7949(7050367474......) = 43188482559999717546368624137 * c7921(1632464735......)

# ECM B1=70000, sigma=1:1700244343

n=23992: c11982(4342552944......) = 37700328103199797956733009 * c11957(1151860782......)

# ECM B1=70000, sigma=1:1385790790

# 140348 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140348 個の Φ_n(10) の素因数が見つかりました。

August 17, 2018 2018 年 8 月 17 日 (Makoto Kamada)

n=108022: c53993(1602704348......) = 20277409948052143 * c53976(7903890846......)

n=108046: c53329(1099999999......) = 37830651311143 * 53844220605641 * c53301(5400199096......)

n=108058: c53377(1099999999......) = 86348508636931 * c53363(1273907352......)

n=108062: c53201(1099999999......) = 1723426189203710653 * c53182(6382634817......)

# P-1 B1=1e6

# 140347 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140347 個の Φ_n(10) の素因数が見つかりました。

August 17, 2018 2018 年 8 月 17 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=24767: c24743(2473163195......) = 335279891709129662539397 * c24719(7376413727......)

# ECM B1=5e4, sigma=18035853098425951272

n=50129: c50129(1111111111......) = 6289652660414968016773 * c50107(1766569906......)

# ECM B1=5e4, sigma=9173810817472448840

# 140344 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140344 個の Φ_n(10) の素因数が見つかりました。

# 13854 of 17984 R_prime factorizations were cracked. 17984 個中 13854 個の R_prime の素因数が見つかりました。

August 17, 2018 2018 年 8 月 17 日 (Makoto Kamada)

n=108015: c54432(9009099100......) = 51700010119801 * c54419(1742572018......)

# P-1 B1=1e6

# 140343 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140343 個の Φ_n(10) の素因数が見つかりました。

August 16, 2018 2018 年 8 月 16 日 (Danny)

# via yoyo@home

n=937: c893(8403877988......) = 829044297281482845905510544752736064447147 * c852(1013682624......)

# ECM B1=43000000, sigma=0:17347482564892651207

n=941: c889(2210478938......) = 2416277668973171349313713089855425966192452863373961 * c837(9148281947......)

# ECM B1=43000000, sigma=0:8598628182170899200

August 16, 2018 2018 年 8 月 16 日 (Makoto Kamada)

n=107936: c53945(7720623971......) = 2459414981085121 * c53930(3139211573......)

n=107938: c52073(4632288711......) = 70993578339733260095531 * c52050(6524940452......)

n=107944: c53041(1000099999......) = 65034595858345852777 * c53021(1537796901......)

n=107955: c57542(1647382505......) = 7251640361764471 * c57526(2271737735......)

n=107961: c59898(6953902301......) = 25302047549403452227 * c59879(2748355558......)

n=107985: c54903(1180512390......) = 2824559871356191 * c54887(4179456070......)

n=107986: c53976(3330897240......) = 245600018716979 * c53962(1356228414......)

n=108008: c51546(6264455545......) = 32815714969657 * c51533(1908980362......)

n=108014: c52937(1099999999......) = 34066869547303 * c52923(3228943588......)

# P-1 B1=1e6

# 140342 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140342 個の Φ_n(10) の素因数が見つかりました。

August 15, 2018 2018 年 8 月 15 日 (Makoto Kamada)

n=107896: c53939(9267171561......) = 47583641149201 * c53926(1947554104......)

# P-1 B1=1e6

August 14, 2018 2018 年 8 月 14 日 (Alfred Reich)

n=20716: c10348(2408603928......) = 2092847654851115957045657689 * c10321(1150873988......)

# ECM B1=100000, sigma=1:1322587805

n=20774: c8826(2054506340......) = 1663517311114056314469437 * c8802(1235037547......)

# ECM B1=100000, sigma=1:4159302346

n=21726: c6711(7054373751......) = 9311795705981179773167917340197 * c6680(7575739389......)

# ECM B1=100000, sigma=0:15404863476973778250

n=22026: c7315(2783294584......) = 1163015871692713252760095729 * c7288(2393169906......)

# ECM B1=160000, sigma=0:2436673315064203324

n=22142: c11053(3469715229......) = 608602723759539741861973875546979 * c11020(5701116827......)

# ECM B1=190000, sigma=0:2290768919048954147

August 10, 2018 2018 年 8 月 10 日 (Alfred Reich)

n=21124: c10512(2347377595......) = 318914983927345193849 * c10491(7360512091......)

# ECM B1=90000, sigma=1:2917206670

August 6, 2018 2018 年 8 月 6 日 (Alfred Reich)

n=20828: c10042(5514915267......) = 1555512232638113409161 * c10021(3545401412......)

# ECM B1=90000, sigma=0:3714482967539406016

August 3, 2018 2018 年 8 月 3 日 (Alfred Reich)

n=20244: c5725(4564109052......) = 32464737499260315107965009 * c5700(1405866612......)

# ECM B1=120000, sigma=1:3540918568

August 2, 2018 2018 年 8 月 2 日 (Alfred Reich)

n=20360: c8105(4433320757......) = 78634665883647164275233689521 * c8076(5637870660......)

# ECM B1=180000, sigma=0:13785672737436901317

n=21688: c10804(1039996955......) = 3220648723761842486614297 * c10779(3229153643......)

# ECM

n=22250: c8744(4391316996......) = 5517059565039849354894672001 * c8716(7959524352......)

# ECM B1=170000, sigma=0:8898680261126519038

July 27, 2018 2018 年 7 月 27 日 (Alfred Reich)

n=22232: c9480(9550084681......) = 1089832791867849323269252313 * c9453(8762889823......)

# ECM B1=150000, sigma=0:9059387285178850337

July 25, 2018 2018 年 7 月 25 日 (Alfred Reich)

n=20390: c8105(5956322785......) = 115189820898730951462424268721 * c8076(5170875984......)

# ECM B1=120000, sigma=1:1462954448

July 24, 2018 2018 年 7 月 24 日 (Alfred Reich)

n=21862: c10233(3758033750......) = 26545803437902176606329 * c10211(1415679039......)

# ECM B1=60000, sigma=0:15588473826349109189

July 12, 2018 2018 年 7 月 12 日 (Alfred Reich)

n=21252: c5248(3845637023......) = 11648237832655824536676541 * c5223(3301475363......)

# ECM B1=70000, sigma=0:953775917482195960

July 11, 2018 2018 年 7 月 11 日 (Alfred Reich)

n=20742: c6855(3234571250......) = 34684938406614195557569 * c6832(9325578764......)

# ECM B1=70000, sigma=1:2389740974

July 8, 2018 2018 年 7 月 8 日 (Alfred Reich)

n=21984: c7268(1765901466......) = 4836383707945673581296961 * c7243(3651284872......)

# ECM B1=150000, sigma=0:10717264148825329093

July 3, 2018 2018 年 7 月 3 日 (Alfred Reich)

n=22216: c11043(1117511746......) = 398209313729092763640697 * c11019(2806342564......)

# ECM

June 30, 2018 2018 年 6 月 30 日 (Alfred Reich)

n=22014: c7263(2822047517......) = 12941700832995370692424291 * c7238(2180584727......)

# ECM B1=150000, sigma=0:11490228175350593878

June 26, 2018 2018 年 6 月 26 日 (Alfred Reich)

n=23400: c5729(4115154538......) = 57438730914746858751812401 * c5703(7164424549......)

# ECM B1=90000, sigma=1:2274432210

June 16, 2018 2018 年 6 月 16 日 (Alfred Reich)

n=24480: c6124(5390575305......) = 14138755640279771154518191681 * c6096(3812623573......)

# ECM B1=250000, sigma=0:13436845394045605828

May 26, 2018 2018 年 5 月 26 日 (Alfred Reich)

n=21418: c10677(2522379335......) = 9853095132581728817771459 * c10652(2559986787......)

# ECM B1=50000, sigma=0:14228725101079274987

August 14, 2018 2018 年 8 月 14 日 (Kurt Beschorner)

n=5763: c3559(8536593846......) = 284156578135574224432914847837 * c3530(3004186601......)

# ECM B1=1e6, sigma=3029120048

August 14, 2018 2018 年 8 月 14 日 (Makoto Kamada)

n=107793: c58437(5897063763......) = 628570821719729405791 * c58416(9381701408......)

n=107804: c53885(6988840402......) = 2453919263400329968261 * c53864(2848031924......)

n=107805: c57489(1109988900......) = 143954058676309027681 * c57468(7710716253......)

n=107824: c51380(6826485037......) = 54822034607334737 * c51364(1245208260......)

n=107864: c52979(1205930392......) = 557789717991593809 * c52961(2161980319......)

n=107865: c52992(9999999990......) = 5367429982815751 * c52977(1863089042......)

n=107877: c55905(1184365897......) = 4234999324404157 * c55889(2796614135......)

# P-1 B1=1e6

# 140340 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140340 個の Φ_n(10) の素因数が見つかりました。

August 13, 2018 2018 年 8 月 13 日 (Makoto Kamada)

n=107732: c51481(1009999999......) = 34865092985552041 * c51464(2896880270......)

n=107745: c52160(9009099100......) = 17758614787260045026791 * c52138(5073086616......)

n=107762: c53872(3188246050......) = 18363855107135077 * c53856(1736152911......)

n=107764: c51962(2082740044......) = 2478974365128169 * 81066180762576829 * c51930(1036390250......)

n=107768: c50977(1000099999......) = 79312757199673 * c50963(1260957297......)

n=107782: c53884(6488098200......) = 391504629124308041 * c53867(1657221324......)

# P-1 B1=1e6

# 140338 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140338 個の Φ_n(10) の素因数が見つかりました。

August 12, 2018 2018 年 8 月 12 日 (Makoto Kamada)

n=107644: c50625(1009999999......) = 42055496546692309 * c50608(2401588574......)

n=107648: c51968(9999999999......) = 11312521362607415809 * c51949(8839762312......)

n=107654: c50977(1099999999......) = 75201181408219 * c50963(1462742977......)

n=107655: c57409(1109988900......) = 14908160293045321 * c57392(7445512244......)

n=107662: c53822(1044265990......) = 28408397002627793201 * c53802(3675906071......)

n=107672: c52417(1000099999......) = 42313432185930049 * c52400(2363552064......)

n=107679: c59986(1683098545......) = 79261821462253 * c59972(2123466903......)

n=107684: c53840(9900990099......) = 179554186409743021 * c53823(5514207324......)

n=107704: c53836(9652675103......) = 1696407216675795874553 * c53815(5690069582......)

n=107708: c53852(9900990099......) = 5705616802814738850421 * c53831(1735305829......)

# P-1 B1=1e6

# 140335 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140335 個の Φ_n(10) の素因数が見つかりました。

August 11, 2018 2018 年 8 月 11 日 (Makoto Kamada)

n=107554: c53776(9090909090......) = 7955565896974819753891 * c53755(1142710551......)

n=107566: c53767(1243591154......) = 534608813182063 * 364779925386025048447 * c53731(6376914296......)

n=107572: c53770(5327624268......) = 258909422935841 * c53756(2057717408......)

n=107594: c51418(3618454374......) = 339081490560754087 * c51401(1067134147......)

# P-1 B1=1e6

# 140328 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140328 個の Φ_n(10) の素因数が見つかりました。

August 10, 2018 2018 年 8 月 10 日 (Alfred Reich)

n=20232: c6709(2929104228......) = 1907970179607389844478430713 * c6682(1535193924......)

# ECM B1=150000, sigma=1:2931078541

n=21174: c7020(3562695944......) = 182466616612263310351411 * c6997(1952519321......)

# ECM B1=90000, sigma=1:2707973121

n=21210: c4790(1639328552......) = 5994114667836457141660801 * c4765(2734896882......)

# ECM B1=90000, sigma=1:3994467535

August 10, 2018 2018 年 8 月 10 日 (Makoto Kamada)

n=107475: c57281(1000010000......) = 35170092322340551 * c57264(2843353355......)

n=107494: c52913(3540875073......) = 108030521096688556477 * c52893(3277661754......)

n=107535: c55959(8778111513......) = 9826119954557844481 * c55940(8933446318......)

# P-1 B1=1e6

# 140327 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140327 個の Φ_n(10) の素因数が見つかりました。

August 9, 2018 2018 年 8 月 9 日 (Makoto Kamada)

n=107386: c53673(2056891479......) = 635087181761927 * c53658(3238754518......)

n=107392: c53624(2188923495......) = 915724470493959169 * c53606(2390373487......)

n=107416: c51739(1330074091......) = 493081279017627737 * c51721(2697474326......)

n=107434: c53716(9090909090......) = 154915366168078833689 * c53696(5868306879......)

n=107446: c51955(3412556345......) = 2942334302167114527760303 * c51931(1159812582......)

n=107456: c50676(1719508884......) = 59543693488265153 * c50659(2887810251......)

n=107457: c56448(9999999000......) = 88667038892041 * c56435(1127814701......)

n=107462: c53724(2563529582......) = 560150968976696450539 * c53703(4576497630......)

# P-1 B1=1e6

# 140326 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140326 個の Φ_n(10) の素因数が見つかりました。

August 8, 2018 2018 年 8 月 8 日 (Alfred Reich)

n=20286: c5544(9999999999......) = 545105590754735525905804303 * c5518(1834506959......)

# ECM B1=40000, sigma=1:917796303

n=21424: c9793(1000000009......) = 6093583129445291046737 * c9771(1641070596......)

# ECM B1=50000, sigma=1:744979444

n=21844: c10573(1959710251......) = 184240934745015472399021 * c10550(1063667123......)

# ECM B1=20000, sigma=0:1991037019631266562

n=22160: c8833(1000000009......) = 34943632126922619243357121 * c8807(2861751767......)

# ECM B1=140000, sigma=0:16246278862169329947

n=23054: c11510(7242797047......) = 145471766861819244578655372637 * c11481(4978833490......)

# ECM B1=180000, sigma=0:16924953146917297247

# 140324 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140324 個の Φ_n(10) の素因数が見つかりました。

August 8, 2018 2018 年 8 月 8 日 (Makoto Kamada)

n=107288: c53640(9999000099......) = 658757484424767097 * c53623(1517857532......)

n=107295: c54554(1749284944......) = 579038617490401 * c54539(3021016028......)

n=107318: c51293(3898054712......) = 993758948151753418554824287 * c51266(3922535459......)

n=107325: c56161(1000000000......) = 185441225446906942305601 * c56137(5392544174......)

n=107331: c57881(6358840433......) = 370531537263038677 * c57864(1716140137......)

n=107332: c53656(2976650371......) = 46236882957649 * c53642(6437826646......)

n=107336: c53664(9999000099......) = 10068262454953 * 18018431850449 * c53638(5511693427......)

n=107342: c53201(1099999999......) = 1514434184072521 * c53185(7263438791......)

n=107355: c53749(7050942445......) = 2481117903123481 * c53734(2841840944......)

# P-1 B1=1e6

# 140321 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140321 個の Φ_n(10) の素因数が見つかりました。

August 7, 2018 2018 年 8 月 7 日 (Makoto Kamada)

n=107186: c53568(8126649154......) = 81765972107773 * c53554(9938913394......)

n=107216: c53582(3901730943......) = 18013851272762593601 * c53563(2165961561......)

n=107222: c53578(5003155873......) = 19449409776371 * c53565(2572394705......)

n=107248: c53616(9999999900......) = 10643114560801 * c53603(9395745806......)

n=107258: c53623(4237850189......) = 13074339546579143597 * c53604(3241349342......)

n=107264: c53504(9999999999......) = 17770387085057 * c53491(5627339433......)

n=107265: c57189(3265118085......) = 4721686950449431 * c57173(6915151554......)

# P-1 B1=1e6

# 140317 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140317 個の Φ_n(10) の素因数が見つかりました。

August 7, 2018 2018 年 8 月 7 日 (Alfred Reich)

n=22800: c5750(3895007061......) = 49316569876708810231201 * c5727(7897968313......)

# ECM

n=23420L: c4656(7361458978......) = 2527681379929774704638115821 * c4629(2912336593......)

# ECM B1=17000, sigma=1:3882970516

August 6, 2018 2018 年 8 月 6 日 (Alfred Reich)

n=20222: c10060(2087510656......) = 1462231903573041318902797 * c10036(1427619416......)

# ECM B1=130000, sigma=1:1368707915

n=20282: c10121(1874900228......) = 573203444032234115236773059 * c10094(3270915847......)

# ECM B1=130000, sigma=1:1235400513

n=22038: c7345(1098901098......) = 294174517887183853928279539 * c7318(3735541428......)

# ECM B1=150000, sigma=0:17556235961290854140

# 140315 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140315 個の Φ_n(10) の素因数が見つかりました。

June 15, 2018 2018 年 6 月 15 日 (Alfred Reich)

n=192648: c61230(9478946035......) = 91201449223921 * x61217(1039341602......)

n=192648: x61217(1039341602......) = 1298500432062015121 * x61198(8004168319......)

n=192648: x61198(8004168319......) = 388623444487305637969 * c61178(2059620548......)

# ECM

August 6, 2018 2018 年 8 月 6 日 (Makoto Kamada)

n=107144: c52423(4571090645......) = 10196343759841 * c52410(4483068394......)

n=107145: c57106(1672190849......) = 1094124472123231 * c57091(1528336941......)

n=107158: c53041(1099999999......) = 19080735183105649 * 626273937525818785321 * c53003(9205200284......)

n=107174: c52231(1695019711......) = 1471838024735921939 * c52213(1151634678......)

n=107176: c53577(2386064946......) = 56839091574289 * c53563(4197929418......)

n=107182: c53575(2551997190......) = 1453688480345969533 * 366826221198714209566317623 * c53530(4785733062......)

# P-1 B1=1e6

# 140314 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140314 個の Φ_n(10) の素因数が見つかりました。

August 5, 2018 2018 年 8 月 5 日 (Makoto Kamada)

n=107092: c52161(1009999999......) = 156050218236949 * c52146(6472275472......)

n=107098: c53531(3608004084......) = 64145528764183 * c53517(5624716412......)

n=107116: c52534(1332833719......) = 15730768689121 * c52520(8472781885......)

# P-1 B1=1e6

# 140313 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140313 個の Φ_n(10) の素因数が見つかりました。

August 4, 2018 2018 年 8 月 4 日 (Alfred Reich)

n=18712: c9330(6727206410......) = 2399529630287958473 * c9312(2803552131......)

# ECM B1=8000, sigma=0:3410227967289694210

August 4, 2018 2018 年 8 月 4 日 (Alfred Reich)

n=18226: c8401(1099999999......) = 354478084583331365232148249 * c8374(3103153757......)

# ECM

# 140312 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140312 個の Φ_n(10) の素因数が見つかりました。

August 4, 2018 2018 年 8 月 4 日 (Makoto Kamada)

n=107032: c50288(1945245126......) = 195639670412536057 * c50270(9942999407......)

n=107048: c53520(9999000099......) = 428507335575521 * c53506(2333448991......)

n=107062: c53065(1099999999......) = 4623759483730399343 * c53046(2379016477......)

# P-1 B1=1e6

# 140311 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140311 個の Φ_n(10) の素因数が見つかりました。

August 3, 2018 2018 年 8 月 3 日 (Alfred Reich)

n=22112: c11036(1507454361......) = 61516127404879765082958014177 * c11007(2450502698......)

# ECM B1=170000, sigma=0:12979635124003313768

August 3, 2018 2018 年 8 月 3 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=24499: c24499(1111111111......) = 18174893231459131283319569 * c24473(6113439550......)

# ECM B1=5e4, sigma=8634299472218058874

# 140309 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140309 個の Φ_n(10) の素因数が見つかりました。

# 13853 of 17984 R_prime factorizations were cracked. 17984 個中 13853 個の R_prime の素因数が見つかりました。

August 2, 2018 2018 年 8 月 2 日 (Alfred Reich)

n=20376: c6769(1000000000......) = 911972645330568828097017601 * c6742(1096524117......)

# ECM B1=140000, sigma=1:2575591162

n=21674: c10836(9090909090......) = 293571064239961417128419041 * c10810(3096663874......)

# ECM B1=90000, sigma=0:15485743918789695582

n=22034: c10517(1099999999......) = 164719072210122197898900607 * c10490(6678036642......)

# ECM B1=170000, sigma=0:1309575129025811881

# 140308 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140308 個の Φ_n(10) の素因数が見つかりました。

August 1, 2018 2018 年 8 月 1 日 (Makoto Kamada)

n=107012: c51715(1887635241......) = 2844608588382829 * 8473471701237576409 * c51680(7831305687......)

n=107025: c57041(1000010000......) = 125427267856951 * c57026(7972827736......)

# P-1 B1=1e6

# 140305 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140305 個の Φ_n(10) の素因数が見つかりました。

August 1, 2018 2018 年 8 月 1 日 (Alfred Reich)

n=22384: c11154(2474267687......) = 5993564048482564924370793713 * c11126(4128207636......)

# ECM B1=180000, sigma=0:17444476890955237128

n=23402: c11700(9090909090......) = 2096292400558625666835746437 * c11673(4336660805......)

# ECM B1=170000, sigma=1:1728956784

# 140304 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 140304 個の Φ_n(10) の素因数が見つかりました。

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