Changes of Phin10.txt <January 2018>

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January 31, 2018 2018 年 1 月 31 日 (Makoto Kamada)

n=145752: c48571(6861608337......) = 1542969206967984217 * c48553(4447015732......)

n=145764: c48550(4386313661......) = 20937692972232095633281 * c48528(2094936470......)

n=145818: c48587(2897046439......) = 15542409226284847 * c48571(1863962270......)

n=145824: c40302(2968974893......) = 23945914925857 * c40289(1239866968......)

n=145872: c48561(1562682199......) = 106851604032911809 * c48544(1462478933......)

n=145880: c49909(2833937742......) = 815393947218481 * c49894(3475544247......)

n=145884: c48617(3911469909......) = 14068541928349 * c48604(2780295164......)

# P-1 B1=1e6

January 30, 2018 2018 年 1 月 30 日 (Makoto Kamada)

n=145548: c44640(9999990000......) = 18541787741882029 * c44624(5393217816......)

n=145554: c45611(9751689782......) = 4611568049815484766637 * c45590(2114614742......)

n=145602: c48529(1000999998......) = 53740812679125932413 * c48509(1862643955......)

n=145670: c49894(5495793455......) = 1704785899618894891 * c49876(3223744082......)

n=145674: c48538(3874423600......) = 1149707375830643041 * c48520(3369921496......)

n=145692: c45351(8109398451......) = 22047575441208103721989 * c45329(3678136162......)

n=145698: c41616(9100000909......) = 11537720381989127391619 * c41594(7887174076......)

# P-1 B1=1e6

# 139815 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139815 個の Φ_n(10) の素因数が見つかりました。

January 29, 2018 2018 年 1 月 29 日 (Makoto Kamada)

n=145338: c48429(1143738489......) = 169567503179234089 * c48411(6745033497......)

n=145398: c44021(4507531542......) = 92017129101275863 * c44004(4898578760......)

n=145434: c48467(1615948232......) = 1113059819762767 * c48452(1451807175......)

n=145458: c48475(6881664242......) = 32111600723279255508049 * c48453(2143046153......)

n=145464: c40313(1676887925......) = 2033282924109097 * c40297(8247194256......)

n=145494: c47328(9990010000......) = 373857595210816361136757 * c47305(2672143117......)

n=145506: c48474(5374726502......) = 113642704097500971859 * c48454(4729495434......)

n=145512: c46360(5163249745......) = 265917085084369 * c46346(1941676573......)

# P-1 B1=1e6

# 139812 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139812 個の Φ_n(10) の素因数が見つかりました。

January 28, 2018 2018 年 1 月 28 日 (Makoto Kamada)

n=145152: c41453(1096245203......) = 23638632143617 * c41439(4637515390......)

n=145218: c48399(7567199188......) = 258871357287583 * c48385(2923150427......)

n=145254: c47208(9100000000......) = 801887867120075192407 * c47188(1134822008......)

n=145278: c41472(9990010000......) = 1001721084508086517 * c41454(9972845889......)

n=145308: c48406(8658611835......) = 17607013225861 * c48393(4917706214......)

n=145326: c47424(9100000000......) = 5296051768263847 * c47409(1718261149......)

# P-1 B1=1e6

# 139811 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139811 個の Φ_n(10) の素因数が見つかりました。

January 27, 2018 2018 年 1 月 27 日 (Alfred Reich)

n=8308: c3961(1009999999......) = 162671769021508746091227108361 * c3931(6208821641......)

# ECM B1=1300000, sigma=1:261055998

n=8402: c4173(5836447318......) = 47962315664132037883886339559337823 * c4139(1216881886......)

# ECM B1=2025000, sigma=1:4103960558

n=141644: c66625(1009999999......) = 231146997270461 * c66610(4369513824......)

# ECM B1=2000, sigma=0:5906867401824732637

# 139808 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139808 個の Φ_n(10) の素因数が見つかりました。

January 27, 2018 2018 年 1 月 27 日 (Makoto Kamada)

n=144948: c47084(2876801029......) = 81706077370182493307691579601 * c47055(3520914382......)

n=144954: c48303(5513484247......) = 28105027521642736428583 * c48281(1961743052......)

n=144978: c47520(9100000000......) = 1518853479738153773329 * c47499(5991361327......)

n=144996: c47012(5462953987......) = 60199498882497997801 * c46992(9074749938......)

n=145040: c48384(9999999999......) = 86935263413846313222401 * c48362(1150281210......)

n=145044: c44928(9999999999......) = 38473925491633789 * c44912(2599162906......)

n=145098: c48328(1107734820......) = 317432024237368806247 * c48307(3489675696......)

n=145104: c48345(8723554740......) = 234996379273441 * c48331(3712208148......)

# P-1 B1=1e6

# 139806 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139806 個の Φ_n(10) の素因数が見つかりました。

January 26, 2018 2018 年 1 月 26 日 (Alfred Reich)

n=141574: c69721(1099999999......) = 31325429438489 * c69707(3511524086......)

# ECM B1=3000, sigma=0:12424289738787834952

n=141782: c70867(4549433207......) = 2060277014935543 * c70852(2208165782......)

# ECM B1=3000, sigma=0:13988548941400255810

# 139803 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139803 個の Φ_n(10) の素因数が見つかりました。

January 26, 2018 2018 年 1 月 26 日 (Makoto Kamada)

n=144774: c41249(1015781990......) = 194513179504686463 * c41231(5222175654......)

n=144798: c48265(1098901098......) = 1014820655804955481 * c48247(1082852514......)

n=144828: c47953(1000000000......) = 39382386638514229 * c47936(2539206191......)

n=144858: c41363(1312077916......) = 90923626511299 * c41349(1443054976......)

n=144924: c44538(6831851983......) = 11668870384209481 * c44522(5854767221......)

n=144936: c43183(1078016123......) = 2582342296666159897 * c43164(4174567115......)

# P-1 B1=1e6

# 139802 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139802 個の Φ_n(10) の素因数が見つかりました。

January 25, 2018 2018 年 1 月 25 日 (WhiteFire)

# via yoyo@home

n=907: c870(9772797282......) = 5808730604484537495106777140578352936337679 * c828(1682432522......)

# ECM B1=43000000, sigma=0:6571224515312869036

January 25, 2018 2018 年 1 月 25 日 (corris)

# via yoyo@home

n=6460M: c1107(1155485181......) = 269834533853067177744952487725981 * c1074(4282199037......)

# ECM B1=11000000, sigma=0:6089771197226634237

January 25, 2018 2018 年 1 月 25 日 (Alfred Reich)

n=140858: c70410(3794114007......) = 36902888641823 * c70397(1028134692......)

# ECM B1=2000, sigma=0:17443139691864250781

n=140962: c70445(3232967139......) = 157506217841659 * c70431(2052596515......)

# ECM B1=4000, sigma=0:17981171474488853121

n=140974: c70472(7236747046......) = 14861376450929 * c70459(4869499854......)

# ECM B1=2000, sigma=0:5021619620795234042

n=141712: c66561(1000000009......) = 141699393300481 * c66546(7057193306......)

# ECM B1=2000, sigma=0:2732489046817572470

n=141782: c70881(1256790204......) = 27625203996331 * c70867(4549433207......)

# ECM B1=2000, sigma=0:17129026450398489007

n=141950: c53112(3896384727......) = 32302023329801 * c53099(1206235500......)

# ECM B1=2000, sigma=0:677382711857631560

# 139800 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139800 個の Φ_n(10) の素因数が見つかりました。

January 25, 2018 2018 年 1 月 25 日 (Makoto Kamada)

n=144564: c41274(5707388130......) = 1538078650318141 * c41259(3710725800......)

n=144642: c48213(1098901098......) = 633491735678112439477 * c48192(1734673140......)

n=144666: c44712(9999999999......) = 5669758882451477441449 * c44691(1763743433......)

n=144696: c48225(1000099999......) = 1003942547414704129 * c48206(9961725425......)

n=144708: c46541(4092261821......) = 9131013977403555661 * c46522(4481716742......)

n=144732: c41316(2049231858......) = 422519139802892264943972354481 * c41286(4850033206......)

n=144738: c40311(4815782091......) = 169006736352837637 * c40294(2849461622......)

n=144744: c46644(1189085580......) = 465280446369311572777 * c46623(2555631962......)

n=144756: c48227(2283193452......) = 3605194708631569 * c48211(6333065581......)

# P-1 B1=1e6

# 139799 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139799 個の Φ_n(10) の素因数が見つかりました。

January 24, 2018 2018 年 1 月 24 日 (Alfred Reich)

n=8150: c3228(9980267109......) = 549692094842681735580674239279801 * c3196(1815610448......)

# ECM B1=2800000-2800000, sigma=0:18237555407987570567

n=140042: c59965(1135175637......) = 67611422083423 * c59951(1678970213......)

# ECM B1=3000, sigma=0:16119527587465166656

n=140084: c60025(1009999999......) = 121580681265961 * c60010(8307240833......)

# ECM B1=2000, sigma=0:17681744755126665222

n=140142: c46682(9352966183......) = 810670290001459 * c46668(1153732448......)

# ECM B1=4000, sigma=0:2772375476210865896

n=140440: c56161(1000099999......) = 53320646587307441 * c56144(1875633669......)

# ECM B1=2000, sigma=0:17881905074210244800

n=140458: c70216(7036455947......) = 287828855932573 * c70202(2444666614......)

# ECM B1=4000, sigma=0:13887737828211960072

n=140806: c67312(5851810527......) = 151616756320409 * c67298(3859606727......)

# ECM B1=2000, sigma=0:12619482434700827223

n=140812: c58495(1020698095......) = 33055747955161 * c58481(3087808200......)

# ECM B1=1000, sigma=0:12120357119198894665

# 139796 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139796 個の Φ_n(10) の素因数が見つかりました。

January 24, 2018 2018 年 1 月 24 日 (Makoto Kamada)

n=144426: c48134(6917039661......) = 1140069763536049 * c48119(6067207361......)

n=144456: c44333(5595141505......) = 445336269109643543113 * c44313(1256385768......)

n=144498: c48159(3802465419......) = 658641193498936801 * c48141(5773197087......)

# P-1 B1=1e6

January 23, 2018 2018 年 1 月 23 日 (Makoto Kamada)

n=144204: c47040(9901000000......) = 2467634593474185240901 * c47019(4012344463......)

n=144258: c48072(3000289061......) = 194296437925699 * c48058(1544181197......)

n=144288: c47798(1832048173......) = 21067350166782670753 * c47778(8696149058......)

# P-1 B1=1e6

# 139794 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139794 個の Φ_n(10) の素因数が見つかりました。

January 22, 2018 2018 年 1 月 22 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=22093: c22093(1111111111......) = 2218950397796766056972719 * c22068(5007372459......)

# ECM B1=5e4, sigma=1200187250184623421

# 139793 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139793 個の Φ_n(10) の素因数が見つかりました。

# 13842 of 17984 R_prime factorizations were cracked. 17984 個中 13842 個の R_prime の素因数が見つかりました。

January 22, 2018 2018 年 1 月 22 日 (Alfred Reich)

n=8476: c3862(6106398860......) = 1963726703284756552906455136069 * c3832(3109597099......)

# ECM B1=900000, sigma=1:3513372185

n=9252: c3054(8712951069......) = 4192371437070223690660387107541 * c3024(2078287003......)

# ECM B1=2900000, sigma=1:1315231828

January 22, 2018 2018 年 1 月 22 日 (Makoto Kamada)

n=144006: c47989(1028397897......) = 21658238707721123157487 * c47966(4748298840......)

n=144018: c40824(9999999999......) = 243576195194124570961 * c40804(4105491504......)

n=144042: c48013(1098901098......) = 271178176204477 * c47998(4052321297......)

n=144072: c44347(6940925780......) = 430181582915809 * c44333(1613487433......)

n=144130: c47041(1099988890......) = 3076256062666840201 * c47022(3575739040......)

n=144132: c48031(2351101617......) = 10175886248989 * 231613364233702441 * c48000(9975519956......)

# P-1 B1=1e6

# 139792 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139792 個の Φ_n(10) の素因数が見つかりました。

January 21, 2018 2018 年 1 月 21 日 (Makoto Kamada)

n=143832: c44152(7724289466......) = 144819100197452617 * c44135(5333750489......)

n=143862: c47953(1098901098......) = 93029904190761253 * c47936(1181234258......)

n=143874: c47923(4463505566......) = 898809547050077849964744049 * c47896(4966019310......)

n=143886: c47941(1806521494......) = 21419679030979 * c47927(8433933543......)

n=143898: c46236(1857759714......) = 4229463380852103379 * c46217(4392424161......)

n=143916: c46985(8093772993......) = 1553795327068593109 * c46967(5209034197......)

n=143920: c49152(9999999900......) = 107491316188431841 * c49135(9303076987......)

n=143946: c43540(5524413487......) = 149357108738135838277 * c43520(3698795145......)

n=143952: c47958(1608567614......) = 62159366534257 * c47944(2587812109......)

n=143958: c47975(3955787978......) = 64859680338049 * c47961(6098993947......)

n=143964: c45345(1283519529......) = 2583167417697241 * 737015121863274883861 * c45308(6741763732......)

# P-1 B1=1e6

# 139789 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139789 個の Φ_n(10) の素因数が見つかりました。

January 20, 2018 2018 年 1 月 20 日 (Alfred Reich)

n=9046: c4514(6030028309......) = 29106719227380924261687718736389163183 * c4477(2071696319......)

# ECM B1=3000000, sigma=1:4247153634

January 20, 2018 2018 年 1 月 20 日 (Makoto Kamada)

n=143650: c49915(6961315967......) = 553759917640801 * 2288719009915001 * 7833205671743401 * c49869(7011934046......)

n=143664: c46072(9803782968......) = 372523228073893873 * c46055(2631723938......)

n=143694: c47832(1855588976......) = 3807083484638025931 * c47813(4874043304......)

n=143772: c47909(1903212511......) = 59026238541129661 * c47892(3224349982......)

n=143778: c46287(7209147462......) = 310546054321927 * c46273(2321442298......)

# P-1 B1=1e6

January 19, 2018 2018 年 1 月 19 日 (Makoto Kamada)

n=143412: c41460(9752956737......) = 95559573825777169 * c41444(1020615344......)

n=143418: c41601(1098901098......) = 299387554038549027613 * c41580(3670496933......)

n=143496: c47797(4370214219......) = 3180812034254567516835764439169 * c47767(1373930358......)

n=143532: c47737(1000000000......) = 24502388704127281 * c47720(4081234740......)

n=143556: c40982(1637435469......) = 18384630924409 * c40968(8906545237......)

n=143570: c49056(9999999000......) = 70327234583131 * c49043(1421924103......)

# P-1 B1=1e6

# 139787 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139787 個の Φ_n(10) の素因数が見つかりました。

January 18, 2018 2018 年 1 月 18 日 (Makoto Kamada)

n=143238: c47736(2286692850......) = 4623398809964647 * c47720(4945913048......)

n=143244: c45408(9999990000......) = 3508440505170248521 * c45390(2850266374......)

n=143268: c47747(1174951623......) = 1269517674257219567989 * c47725(9255102525......)

n=143292: c47761(1009998990......) = 20533158252181 * c47747(4918868191......)

n=143316: c47708(4098329747......) = 89518556682813529 * c47691(4578190153......)

n=143322: c47756(8541206241......) = 62113725360481 * c47743(1375091606......)

n=143376: c45696(9999999900......) = 112730428838433110317297 * c45673(8870719292......)

# P-1 B1=1e6

# 139784 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139784 個の Φ_n(10) の素因数が見つかりました。

January 17, 2018 2018 年 1 月 17 日 (Makoto Kamada)

n=143166: c47058(7945315276......) = 842665838949478139809 * c47037(9428785301......)

n=143196: c47719(1671468455......) = 114779279540963689 * c47702(1456245815......)

# P-1 B1=1e6

January 16, 2018 2018 年 1 月 16 日 (Makoto Kamada)

n=143034: c46061(1347606076......) = 152683230190045317289 * c46040(8826156446......)

n=143082: c47673(6542530755......) = 1060804985630077 * c47658(6167515088......)

n=143094: c40865(4024972390......) = 30032466058495925839506007 * c40840(1340207088......)

# P-1 B1=1e6

January 15, 2018 2018 年 1 月 15 日 (Alfred Reich)

n=8542: c4267(1064135443......) = 48202989597749068566661266155887 * c4235(2207612955......)

# ECM B1=300000, sigma=1:1521831316

n=9114: c2514(6649771148......) = 8547974217374353152743331757 * c2486(7779353305......)

# ECM B1=1000000, sigma=0:16990652822588331830

January 14, 2018 2018 年 1 月 14 日 (Alfred Reich)

n=8130: c2090(1195191291......) = 399043838982071991709808323681 * c2060(2995137814......)

# ECM B1=250000, sigma=1:2297325767

January 15, 2018 2018 年 1 月 15 日 (Makoto Kamada)

n=142818: c43910(5244148950......) = 6949340764758757 * c43894(7546253850......)

n=142836: c47595(1406777123......) = 99256176221851495081 * c47575(1417319482......)

n=142854: c45909(2051580211......) = 3644483452885783 * c45893(5629275692......)

n=142872: c47602(9106759401......) = 11723739840866953 * c47586(7767793831......)

n=142896: c43765(1749035693......) = 30563684939980609 * 576228561755410513 * c43730(9931118803......)

n=142944: c47607(1241944040......) = 25809909778944080737 * c47587(4811888344......)

# P-1 B1=1e6

January 14, 2018 2018 年 1 月 14 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=74489: c74489(1111111111......) = 548483507421525665359 * c74468(2025787641......)

# ECM B1=11e3, sigma=8824790011742622963

# 139781 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139781 個の Φ_n(10) の素因数が見つかりました。

# 13841 of 17984 R_prime factorizations were cracked. 17984 個中 13841 個の R_prime の素因数が見つかりました。

January 14, 2018 2018 年 1 月 14 日 (Makoto Kamada)

n=142572: c47089(1000000000......) = 4180779034016521 * c47073(2391898715......)

n=142584: c43776(9999000100......) = 237697316421827809 * c43759(4206610428......)

n=142596: c44532(4276478544......) = 159420172661461 * 43617469041354176641 * c44498(6150105429......)

n=142614: c44691(6711484653......) = 114169621449562543 * 4356487765026637939 * c44656(1349371526......)

n=142626: c43188(3550283834......) = 4081731412737001 * c43172(8697984937......)

n=142638: c47545(1098901098......) = 27694638155143 * c47531(3967920045......)

n=142644: c47526(3377743414......) = 1722218258921807701 * c47508(1961274882......)

n=142656: c47483(7009820758......) = 309173845527129508609 * c47463(2267274822......)

n=142662: c41742(4855534589......) = 5195048754361682893 * c41723(9346465874......)

n=142716: c40747(2312512700......) = 4571042172197763597301 * c40725(5059049146......)

# P-1 B1=1e6

# 139780 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139780 個の Φ_n(10) の素因数が見つかりました。

January 13, 2018 2018 年 1 月 13 日 (Makoto Kamada)

n=142368: c47411(2792280091......) = 416484672802115329 * c47393(6704400602......)

n=142392: c44535(8487024692......) = 6571548535829149897 * c44517(1291480181......)

n=142398: c47298(4681711502......) = 106392741740533 * c47284(4400404976......)

n=142446: c47464(2277399303......) = 186957501978421693 * c47447(1218137426......)

n=142450: c43181(1564475977......) = 9186447875139753787801 * c43159(1703026021......)

n=142482: c47493(1098901098......) = 2953777429706187127 * c47474(3720324652......)

n=142524: c45778(3544152182......) = 2336218786064456205253142869 * c45751(1517046349......)

n=142548: c40681(6598238775......) = 234209379013504021 * c40664(2817239345......)

# P-1 B1=1e6

# 139777 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139777 個の Φ_n(10) の素因数が見つかりました。

January 9, 2018 2018 年 1 月 9 日 (Alfred Reich)

n=82098: c27361(1000999998......) = 188608019684131 * c27346(5307303478......)

# ECM B1=5000, sigma=0:14510019204897715799

n=82128: c25951(1416924777......) = 112472431463485671061873 * c25928(1259797408......)

# ECM B1=5000, sigma=0:5188918968460518334

n=82442: c41201(4092203305......) = 279714874028063 * c41187(1462990954......)

# ECM B1=5000, sigma=0:11844002428776588614

n=83048: c35558(4196276832......) = 1653918869745577 * c35543(2537172112......)

# ECM B1=5000, sigma=0:2891487857263973151

n=83334: c24181(1265596948......) = 65759637322891 * c24167(1924580183......)

# ECM B1=5000, sigma=0:1122129219190041218

# 139776 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139776 個の Φ_n(10) の素因数が見つかりました。

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

n=14012: c6713(2054177027......) = 184229701894783578759981901 * c6687(1115008604......)

# ECM B1=250000, sigma=1:1260195244

n=14366: c6510(1483409139......) = 73252115401781600329651 * c6487(2025073448......)

# ECM B1=250000, sigma=1:1140166587

n=14462: c6161(9767574008......) = 373744121548960953092638211 * c6135(2613438832......)

# ECM B1=250000, sigma=1:3632472691

n=14488: c7201(1518417803......) = 4338930974443121489 * c7182(3499520533......)

# ECM B1=250000, sigma=1:3823901699

n=14574: c4132(1378563586......) = 230079613099980442839853 * c4108(5991680740......)

# ECM B1=250000, sigma=1:2415836595

n=14636: c7290(2325673808......) = 9650879377721564986981 * c7268(2409805072......)

# ECM B1=250000, sigma=1:713336927

n=14638: c6729(6130155740......) = 1335872827071194003710075127 * c6702(4588876737......)

# ECM B1=250000, sigma=1:1046832507

n=14648: c7315(2275390803......) = 340732162573860661086481 * c7291(6677945475......)

# ECM B1=250000, sigma=1:3031375196

n=14688: c4596(4999444390......) = 2790616785981387244639375393 * c4569(1791519500......)

# ECM B1=250000, sigma=1:1794073065

n=14722: c6913(1099999999......) = 9481669366888597961 * c6894(1160133260......)

# ECM B1=250000, sigma=1:1712232178

n=14754: c4892(3098175582......) = 19651861928602003061179 * c4870(1576530302......)

# ECM B1=250000, sigma=1:2288910010

n=14808: c4905(1580935112......) = 10714454127632448946677760777 * c4877(1475516245......)

# ECM B1=250000, sigma=1:3584814925

n=14896: c6027(3051056144......) = 106965770824409160791681 * c6004(2852366809......)

# ECM B1=250000, sigma=1:3874594897

n=15062: c7073(1099999999......) = 41789212487855774916782041567 * c7044(2632258265......)

# ECM B1=250000, sigma=1:321746455

n=15362: c7645(2015676651......) = 11027780460953131383317 * c7623(1827817173......)

# ECM B1=250000, sigma=1:3361376591

n=15406: c7690(1652502060......) = 2950988975563359178406663 * c7665(5599824582......)

# ECM B1=250000, sigma=1:3398413457

n=15418: c7095(6566998114......) = 15573856823091761359933 * c7073(4216680677......)

# ECM B1=250000, sigma=1:1239921436

n=15424: c7637(4603571803......) = 152458711539456545407489 * c7614(3019553134......)

# ECM B1=250000, sigma=1:1213683682

n=15466: c6469(2137908383......) = 783626340670839551447 * c6448(2728224247......)

# ECM B1=250000, sigma=1:1826132775

n=15512: c6616(7576106443......) = 2088195830991883753196547121 * c6589(3628063197......)

# ECM B1=250000, sigma=1:1187846713

n=15520: c6117(6214177875......) = 224447253368161784040001 * c6094(2768658463......)

# ECM B1=250000, sigma=1:1625626776

n=15532: c7033(1267583628......) = 704670382607997461569 * c7012(1798831992......)

# ECM B1=250000, sigma=1:4130986987

n=15562: c7480(2187451095......) = 507441177586958191607 * x7459(4310748106......)

# ECM B1=250000, sigma=1:3410116277

n=15562: x7459(4310748106......) = 1155952459333026803411 * c7438(3729174216......)

# ECM B1=250000, sigma=1:1469356982

n=15564: c5133(4401541131......) = 208364218199773901194184787289 * c5104(2112426581......)

# ECM B1=250000, sigma=1:2024260798

n=15588: c5144(2234884218......) = 75663664800862926421 * c5124(2953708658......)

# ECM B1=250000, sigma=1:3114646240

n=15628: c7798(7423413762......) = 188828626187781596143038101 * c7772(3931296812......)

# ECM B1=250000, sigma=1:3683960808

n=15664: c7006(3022572929......) = 4248779626326631162097 * c6984(7113979060......)

# ECM B1=250000, sigma=1:911318262

n=15742: c7393(1099999999......) = 395707085959696944770810411 * c7366(2779833970......)

# ECM B1=250000, sigma=1:942317933

n=15750: c3569(1294950188......) = 52192856680349056538765850001 * c3540(2481087012......)

# ECM B1=250000, sigma=1:54729182

n=15810: c3832(3506154943......) = 41798027067168641590081 * c3809(8388326409......)

# ECM B1=250000, sigma=1:2267521979

n=15816: c5259(3161661729......) = 1016215540511891626460137 * c5235(3111211749......)

# ECM B1=250000, sigma=1:475843110

n=15834: c4015(3627786138......) = 742739576669085574489 * x3994(4884331267......)

# ECM B1=250000, sigma=1:1668139960

n=15834: x3994(4884331267......) = 1462894612834923304219 * c3973(3338812806......)

# ECM B1=250000, sigma=1:130715266

n=15882: c5266(6328467744......) = 868696470986757534995892331 * c5239(7285016061......)

# ECM B1=250000, sigma=1:3167812096

n=15890: c5388(2878722305......) = 2472414752431679651 * c5370(1164336324......)

# ECM B1=250000, sigma=1:2967081010

n=15924: c5280(3087265299......) = 596033698257320793682690216789 * c5250(5179682471......)

# ECM B1=250000, sigma=1:1013202341

n=15976: c7967(8415847859......) = 4020596646617306194121281 * x7943(2093183822......)

# ECM B1=250000, sigma=1:1020932385

n=15976: x7943(2093183822......) = 1995334937104075433 * c7925(1049038827......)

# ECM B1=250000, sigma=1:3173371131

n=15998: c7540(1366216123......) = 343090161835169125615729 * c7516(3982090644......)

# ECM B1=250000, sigma=1:2631477102

# 139775 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139775 個の Φ_n(10) の素因数が見つかりました。

January 7, 2018 2018 年 1 月 7 日 (Alfred Reich)

n=16152: c5342(7142623636......) = 1262123248493735684653565977 * c5315(5659212478......)

# ECM B1=50000, sigma=1:1092369394

n=16536: c4970(2834914911......) = 25922039400701642010697 * c4948(1093631124......)

# ECM B1=50000, sigma=1:1056555496

January 5, 2018 2018 年 1 月 5 日 (Alfred Reich)

n=82618: c40796(1331412871......) = 299892612646475567 * c40778(4439632104......)

# ECM B1=3000, sigma=0:9695030418900927233

n=82712: c35281(1000000000......) = 2767213370435843281 * c35262(3613743741......)

# ECM B1=3000, sigma=0:14386192288212573553

n=83520: c21504(9999999999......) = 4061012122629855361 * c21486(2462440322......)

# ECM B1=3000, sigma=0:5515627963248475700

# 139772 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139772 個の Φ_n(10) の素因数が見つかりました。

January 4, 2018 2018 年 1 月 4 日 (Alfred Reich)

n=138184: c65989(4232353534......) = 3078563814760297 * c65974(1374781810......)

# ECM B1=1000, sigma=0:8857132738880337494

n=138776: c59040(9999000099......) = 6743494586844313 * c59025(1482762382......)

# ECM B1=1000, sigma=0:3334212897936191203

n=138836: c68151(2611656876......) = 2861177930057329 * c68135(9127907948......)

# ECM B1=1000, sigma=0:12403160880324696814

n=139022: c64143(1450781411......) = 941071639066807 * c64128(1541626961......)

# ECM B1=3000, sigma=0:464649391722027632

n=139030: c55597(9521937160......) = 88612557869681 * c55584(1074558436......)

# ECM B1=5000, sigma=0:17020333595941611103

n=139166: c68951(1028507281......) = 12250410795516724889 * c68931(8395696263......)

# ECM B1=5000, sigma=0:13226779162144379981

n=139198: c68641(1099999999......) = 2623400687587019 * c68625(4193030844......)

# ECM B1=3000, sigma=0:5334885551554925919

n=139304: c63274(2243519065......) = 45101682803497 * c63260(4974357775......)

# ECM B1=5000, sigma=0:5851506018623376009

n=139366: c65552(3381475179......) = 36636502145814127 * c65535(9229798101......)

# ECM B1=10000, sigma=0:13718817031537021812

n=139386: c42841(1473025380......) = 46275840891981247 * c42824(3183141249......)

# ECM B1=10000, sigma=0:15856722174569271989

n=139388: c69692(9900990099......) = 26836637174141 * c69679(3689355724......)

# ECM B1=5000, sigma=0:11520455955898969219

n=139390: c54488(5020776465......) = 501587851829921 * c54474(1000976488......)

# ECM B1=10000, sigma=0:4615299830070256246

n=139406: c68027(5532903194......) = 413838270963739 * c68013(1336972334......)

# ECM B1=10000, sigma=0:9851122746771503804

n=139484: c69740(9900990099......) = 367628678006881 * c69726(2693203955......)

# ECM B1=5000, sigma=0:15637936064672415191

n=139516: c64369(1009999999......) = 57448282884721 * c64355(1758103026......)

# ECM B1=10000, sigma=0:15123793530517909292

n=139522: c69760(9090909090......) = 66306377099327 * c69747(1371045967......)

# ECM B1=5000, sigma=0:5912060182850555799

n=139526: c69762(9090909090......) = 14356585673291 * c69749(6332222227......)

# ECM B1=10000, sigma=0:9790779464460798644

n=139630: c55842(6564899756......) = 65777234953481 * c55828(9980504290......)

# ECM B1=3000, sigma=0:14811610801661630100

n=139648: c69751(2182058565......) = 56978559715841 * c69737(3829613412......)

# ECM B1=10000, sigma=0:17531842834485309687

n=139708: c68416(4572098916......) = 2440825212504961 * c68401(1873177519......)

# ECM B1=3000, sigma=0:9412240795504197073

n=139786: c67959(1107709944......) = 20697722318131 * c67945(5351844650......)

# ECM B1=5000, sigma=0:2473082667779655141

n=139796: c69885(3193006645......) = 714885822767850787976789 * c69861(4466456801......)

# ECM B1=10000, sigma=0:913281630591217027

n=139822: c69892(9623677424......) = 95566143891931 * c69879(1007017447......)

# ECM B1=3000, sigma=0:17900192290373637296

n=139832: c54240(9999000099......) = 16260292945513 * c54227(6149335767......)

# ECM B1=5000, sigma=0:12698566159934582204

n=139958: c55279(2060330446......) = 43740809359339 * c55265(4710316240......)

# ECM B1=10000, sigma=0:17335634986923385329

n=139978: c62647(7470125439......) = 96874495232453 * c62633(7711137406......)

# ECM B1=5000, sigma=0:14951608505704542795

n=139990: c55993(1099989000......) = 15915556613321 * c55979(6911407667......)

# ECM B1=5000, sigma=0:18137233301331434846

n=139994: c69996(9090909090......) = 56139177892117 * c69983(1619352016......)

# ECM B1=10000, sigma=0:6557161044361744413

# 139770 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139770 個の Φ_n(10) の素因数が見つかりました。

January 12, 2018 2018 年 1 月 12 日 (Makoto Kamada)

n=142224: c47376(2175281891......) = 155260377423793 * c47362(1401054104......)

n=142266: c46800(9100000000......) = 233221038329001979 * c46783(3901877834......)

n=142314: c47437(1098901098......) = 9615826796910471703 * c47418(1142804588......)

# P-1 B1=1e6

# 139760 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139760 個の Φ_n(10) の素因数が見つかりました。

January 11, 2018 2018 年 1 月 11 日 (Makoto Kamada)

n=142026: c47328(3545774943......) = 2395573600943212969 * c47310(1480136090......)

n=142030: c48667(2133582006......) = 88470415842971 * c48653(2411633297......)

n=142056: c47302(1349022958......) = 3446659000468718214769 * c47280(3914001816......)

n=142068: c47353(1009998990......) = 923672093054346721 * c47335(1093460544......)

n=142116: c43680(9901000000......) = 6036997584951241336444069 * c43656(1640053662......)

n=142120: c46054(2749511195......) = 39448929338134801 * c46037(6969799285......)

n=142134: c47377(1098901098......) = 314508150432690003961 * c47356(3494030591......)

n=142158: c42295(1365988453......) = 40504460410543 * c42281(3372439577......)

# P-1 B1=1e6

# 139758 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139758 個の Φ_n(10) の素因数が見つかりました。

January 10, 2018 2018 年 1 月 10 日 (Makoto Kamada)

n=141852: c47281(1009998990......) = 10589500608409 * c47267(9537739571......)

n=141858: c45360(9999999990......) = 22483250494858891 * 2407351407456456616303 * c45323(1847572163......)

n=141936: c47277(7710907674......) = 15870801767611495633 * c47258(4858549547......)

n=141942: c46047(2464380525......) = 56788438261477477 * c46030(4339581437......)

n=141972: c47321(1009998990......) = 23908928084575741 * c47304(4224359144......)

# P-1 B1=1e6

# 139755 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139755 個の Φ_n(10) の素因数が見つかりました。

January 9, 2018 2018 年 1 月 9 日 (Ray Chandler)

n=21469: p18369(2534810559......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_21469_10

January 9, 2018 2018 年 1 月 9 日 (Makoto Kamada)

n=141684: c47219(3564253641......) = 28804112730191808210067201 * c47194(1237411363......)

n=141696: c46069(1245150037......) = 63066306056833 * c46055(1974350672......)

n=141732: c45331(3471157187......) = 653098462920958294441 * c45310(5314906379......)

# P-1 B1=1e6

January 7, 2018 2018 年 1 月 7 日 (WhiteFire)

# via yoyo@home

n=1291: c1255(8400992048......) = 1824300601696080281746056851529399947969 * c1216(4605048115......)

# ECM B1=11000000, sigma=0:15632398092653511799

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

n=141522: c46501(5349270267......) = 4425256777786001077 * c46483(1208804491......)

n=141528: c47137(1813374114......) = 1907409194163169 * c47121(9507001015......)

n=141588: c42751(1527396397......) = 11936445371101 * c42738(1279607412......)

n=141594: c47185(1194993183......) = 557077464532837 * c47170(2145111334......)

n=141612: c47174(6491255739......) = 18052459237102309 * c47158(3595773658......)

n=141672: c47206(1323223237......) = 564540460509880401649 * c47185(2343894424......)

# P-1 B1=1e6

January 7, 2018 2018 年 1 月 7 日 (Makoto Kamada)

n=141312: c45043(8668440852......) = 31240944274698241 * c45027(2774705135......)

n=141336: c43188(2100256557......) = 6095469520155601 * c43172(3445602591......)

n=141348: c47105(1107825996......) = 472796492890669 * c47090(2343134971......)

n=141366: c47121(1098901098......) = 2510681790457038487 * c47102(4376903130......)

n=141402: c47112(6339886740......) = 95852706342127463659717 * c47089(6614196909......)

n=141462: c45348(8534403840......) = 247248514128850687 * c45331(3451751316......)

# P-1 B1=1e6

# 139752 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139752 個の Φ_n(10) の素因数が見つかりました。

January 6, 2018 2018 年 1 月 6 日 (Makoto Kamada)

n=141156: c47011(2361447945......) = 40898645757711109 * c46994(5773902538......)

n=141198: c46383(5383136355......) = 518085575156263 * c46369(1039043859......)

n=141228: c47057(3278127642......) = 17524031521657592959921 * c47035(1870646967......)

n=141234: c47077(1098901098......) = 2393891904933649 * c47061(4590437423......)

n=141306: c42778(1318487682......) = 14068545103313966811943 * c42755(9371883681......)

# P-1 B1=1e6

# 139751 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139751 個の Φ_n(10) の素因数が見つかりました。

January 5, 2018 2018 年 1 月 5 日 (Makoto Kamada)

n=140916: c46958(5360394386......) = 60687929874889 * c46944(8832719121......)

n=140928: c46849(1000000000......) = 102189100406731695361 * c46828(9785779461......)

n=140994: c40167(6743843660......) = 139982732639086850045366074867837 * c40135(4817625384......)

n=141018: c44483(1288447090......) = 1636957352636571188731 * c44461(7870987529......)

n=141050: c43193(2847291246......) = 427057079236838051 * c43175(6667238139......)

n=141066: c44155(1011684488......) = 181779874750009 * c44140(5565437262......)

# P-1 B1=1e6

# 139750 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139750 個の Φ_n(10) の素因数が見つかりました。

January 4, 2018 2018 年 1 月 4 日 (Makoto Kamada)

n=140742: c40176(9990010000......) = 7350653760498190713943 * c40155(1359064149......)

n=140754: c46917(1098901098......) = 610490390236802659 * c46899(1800030133......)

n=140770: c48214(2959291405......) = 2672791093916535481 * c48196(1107191434......)

n=140772: c46901(1698999839......) = 287481750290521 * 39565655875096118926441 * c46864(1493704495......)

n=140826: c40143(2914290715......) = 1031240689412053 * c40128(2826004390......)

# P-1 B1=1e6

# 139749 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139749 個の Φ_n(10) の素因数が見つかりました。

January 3, 2018 2018 年 1 月 3 日 (Makoto Kamada)

n=140508: c46801(1000000000......) = 297703362564315098821 * c46780(3359048387......)

n=140544: c46081(1000000000......) = 31961640402208513 * c46064(3128750550......)

n=140630: c47025(3185253172......) = 2754145000673921 * c47010(1156530673......)

n=140646: c42600(9100000000......) = 3671759336129535289 * c42582(2478375941......)

n=140676: c44333(2039631166......) = 189750959726041141 * c44316(1074898998......)

n=140682: c46893(1098901098......) = 495573505120303 * c46878(2217433110......)

# P-1 B1=1e6

# 139747 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139747 個の Φ_n(10) の素因数が見つかりました。

January 2, 2018 2018 年 1 月 2 日 (Makoto Kamada)

n=140328: c46753(1000000000......) = 14966411866633 * c46739(6681628228......)

n=140346: c44333(8077630232......) = 266170004727049 * c44319(3034763530......)

n=140350: c47981(2496314012......) = 2200953651558895451 * c47963(1134196538......)

n=140364: c40027(3562150686......) = 15982861081878051481 * p40008(2228731556......)

makoto@betelgeuse /cygdrive/c/factorize/Phin10
$ ./pfgw64 -tc -q"(10^18+1)*(10^42+1)*(10^3342+1)*(10^70182+1)/(10^126+1)/(10^10026+1)/(10^23394+1)/4486857095507152168753163209649"
PFGW Version 3.8.3.64BIT.20161203.Win_Dev [GWNUM 28.6]

Primality testing (10^18+1)*(10^42+1)*(10^3342+1)*(10^70182+1)/(10^126+1)/(10^10026+1)/(10^23394+1)/4486857095507152168753163209649 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 2+sqrt(17)
Calling N-1 BLS with factored part 0.04% and helper 0.01% (0.14% proof)
(10^18+1)*(10^42+1)*(10^3342+1)*(10^70182+1)/(10^126+1)/(10^10026+1)/(10^23394+1)/4486857095507152168753163209649 is Fermat and Lucas PRP! (167.3770s+0.0351s)

n=140376: c46785(1000099999......) = 182052672964777 * c46770(5493465070......)

n=140388: c46793(1009998990......) = 917052390767283961 * c46775(1101353641......)

n=140424: c46791(6808797258......) = 128353691041635323835817 * c46768(5304714810......)

# P-1 B1=1e6

# 1137 of 200000 Φ_n(10) factorizations were finished. 200000 個中 1137 個の Φ_n(10) の素因数分解が終わりました。

# 139743 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139743 個の Φ_n(10) の素因数が見つかりました。

January 1, 2018 2018 年 1 月 1 日 (Makoto Kamada)

n=140178: c45832(2866113107......) = 95428169494543 * c45818(3003424588......)

n=140196: c40032(9901000000......) = 3483109976836309 * c40017(2842574614......)

n=140202: c46723(1427937648......) = 147987517189914548623 * c46702(9649041187......)

n=140208: c44352(9999999900......) = 1081353009555423313 * c44334(9247673804......)

n=140210: c48041(6234467176......) = 100536437589878514001 * c48021(6201201600......)

n=140214: c46727(9827352555......) = 1328508144409819 * c46712(7397284387......)

n=140244: c40287(1261325864......) = 58737959763601 * c40273(2147377725......)

n=140256: c46647(2865913560......) = 2843205994629436609 * c46629(1007986605......)

# P-1 B1=1e6

# 139740 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 139740 個の Φ_n(10) の素因数が見つかりました。

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