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December 31, 2017 2017 年 12 月 31 日 (Makoto Kamada)

n=140046: c43896(4990679686......) = 35081957908198151053 * c43877(1422577297......)

n=140058: c44984(1154760632......) = 18284657788221242207329 * c44961(6315462097......)

n=140082: c45330(8087595105......) = 495346919699356816699 * c45310(1632713313......)

n=140106: c44208(9100000000......) = 1400032814475861757 * c44190(6499847650......)

n=140118: c42240(9999999999......) = 11853267003525347929 * c42221(8436492653......)

n=140142: c46701(1017316622......) = 1087694109351113917 * c46682(9352966183......)

n=140172: c46715(1801353317......) = 2469985913500799177307289 * c46690(7292970001......)

# P-1 B1=1e6

# 139738 of 200000 Φn(10) factorizations were cracked. 200000 個中 139738 個の Φn(10) の素因数が見つかりました。

December 30, 2017 2017 年 12 月 30 日 (Alfred Reich)

n=21710: c7956(1420527159......) = 1284450265477803971 * c7938(1105941738......)

n=22846: c11417(6631972607......) = 5160769322408769329837 * c11396(1285074412......)

n=23290: c8660(5283437394......) = 11980711046405439731 * c8641(4409953110......)

n=23470: c9375(4053788337......) = 8465886187102944571 * c9356(4788380387......)

n=23560: c8620(1108616905......) = 12890097944142802321 * c8600(8600531278......)

n=23676: c7876(1501700159......) = 116377572312437940624181 * c7853(1290369037......)

n=150358: c69370(4217049965......) = 21127895666872411 * c69354(1995963077......)

n=151434: c49128(9990010000......) = 23447079256969 * c49115(4260662869......)

n=151582: c71767(3850072185......) = 178877960720336047 * c71750(2152345750......)

n=151594: c75788(3166250899......) = 64559900469706699 * c75771(4904361494......)

n=152624: c76304(9999999900......) = 11480038302097 * c76291(8710772243......)

n=152900L: c27585(9871404962......) = 14761224381428801 * c27569(6687389005......)

n=153488: c74874(1670555458......) = 613962139263793 * c74859(2720942141......)

n=153618: c51198(2649431114......) = 78159085157767 * c51184(3389792893......)

n=154012: c76139(2015711158......) = 650208761800141 * c76124(3100098425......)

n=154104: c51328(1394074658......) = 42983444176537 * c51314(3243282814......)

n=154302: c51395(9537949645......) = 33973068667651 * c51382(2807503125......)

n=154582: c77272(3658379824......) = 10519202921299 * c77259(3477810868......)

n=154684: c77333(6095985234......) = 11682457280861 * c77320(5218067644......)

# 139736 of 200000 Φn(10) factorizations were cracked. 200000 個中 139736 個の Φn(10) の素因数が見つかりました。

December 30, 2017 2017 年 12 月 30 日 (Makoto Kamada)

n=139764: c44059(1012011051......) = 211156936336456921 * c44041(4792696223......)

n=139810: c47991(2178705675......) = 143554819707829203521 * c47971(1517682011......)

n=139812: c45591(1883668706......) = 32295574882206129947269 * c45568(5832590730......)

n=139824: c46555(3575911231......) = 148618854514513 * 102710208397752325441 * c46521(2342605773......)

n=139878: c44058(2100571653......) = 6542476607026837 * 67872751655035699 * c44025(4730421780......)

n=139908: c45737(1667724093......) = 201201595605229 * c45722(8288821412......)

# P-1 B1=1e6

December 29, 2017 2017 年 12 月 29 日 (Makoto Kamada)

n=139536: c41472(9999999999......) = 4955485314001316977 * c41454(2017965822......)

n=139548: c44765(3660494382......) = 8360376735713629865989 * c44743(4378384488......)

n=139554: c46506(5977371968......) = 3541023518556513007 * c46488(1688035094......)

n=139632: c46529(1000000009......) = 84693396757726967953 * c46509(1180729606......)

n=139638: c42612(8413207529......) = 9884477267021193703 * c42593(8511535109......)

n=139686: c44968(1016803213......) = 40878094198699 * c44954(2487403666......)

n=139720: c47783(4667026697......) = 404518170501116036483441 * c47760(1153724860......)

n=139722: c40321(1098901098......) = 80792700777095460121 * c40301(1360148984......)

# P-1 B1=1e6

# 139734 of 200000 Φn(10) factorizations were cracked. 200000 個中 139734 個の Φn(10) の素因数が見つかりました。

December 26, 2017 2017 年 12 月 26 日 (Alfred Reich)

n=9610: c3701(1519559081......) = 3122476819207517804807857327849801 * c3667(4866518376......)

n=13878: c4588(1212985445......) = 545925524052205140121 * c4567(2221888137......)

n=14082: c4676(3264742730......) = 5850843396650386153171 * c4654(5579952340......)

n=14282: c6889(2721086965......) = 793503953126725638851 * c6868(3429204044......)

n=14326: c6019(1769914318......) = 146869885479664432737727583 * c5993(1205090010......)

n=15274: c6511(1286999638......) = 10826699888307686963651 * c6489(1188727545......)

n=15890: c5412(1256457268......) = 436463519331732568770641 * c5388(2878722305......)

n=16346: c7383(7494355792......) = 4230995398887217379 * c7365(1771298497......)

n=16372: c8152(5436628339......) = 109311299863326236609 * c8132(4973528213......)

n=16566: c4975(3249874101......) = 3137981086839729373 * c4957(1035657644......)

n=16578: c5493(8701877532......) = 34531987464417801709764451 * c5468(2519946916......)

n=16690: c6652(2868914201......) = 447296144268274403871371 * c6628(6413903268......)

n=16778: c8355(5014154141......) = 3558906224666317423 * c8337(1408903136......)

n=16806: c5578(1369968646......) = 2870965107712147907557 * c5556(4771805281......)

n=16822: c7736(3089430528......) = 98340922229249761766107286573 * c7707(3141551307......)

n=18074: c7735(3381150667......) = 2863304253970080362891 * c7714(1180856230......)

n=18116: c7713(1438521120......) = 30628714972761286669 * c7693(4696642095......)

n=18154: c8711(8874430596......) = 295541743901327871247 * c8691(3002767216......)

n=18162: c6038(6896772589......) = 109572786914197843527437053 * c6012(6294238545......)

n=18292: c8568(1340700141......) = 202315907685252434629 * c8547(6626765818......)

n=18470: c7361(2867569182......) = 391813299907905907571 * c7340(7318713230......)

n=18632: c8683(2769808027......) = 4051320731018509073897 * c8661(6836802640......)

n=18646: c9281(2225918991......) = 4880996110490260597 * c9262(4560378540......)

n=18652: c9298(3083779366......) = 139879299413489772643430900129 * c9269(2204600237......)

n=18692: c9302(2604431580......) = 7811028982685219899469 * c9280(3334300239......)

n=18728: c9342(1927804510......) = 52623050247019299593257 * c9319(3663422210......)

n=18886: c7560(9090910000......) = 170919285973650921197 * c7540(5318832189......)

n=18902: c8697(4280973742......) = 72600130606768226047 * c8677(5896647438......)

n=18908: c9047(6542799454......) = 15610439843100369661 * c9028(4191297311......)

n=18930: c5030(3277896870......) = 892031389118253560161 * c5009(3674642967......)

n=18964: c8588(2600373856......) = 9139738475035615129 * c8569(2845129391......)

n=19160: c7601(2000298348......) = 7827794480694536081 * c7582(2555379236......)

n=19316: c8761(1009999999......) = 269766003767315807489 * c8740(3743985475......)

n=19448: c7680(9999000099......) = 25388484488900651977 * c7661(3938399751......)

n=19450: c7742(9871432712......) = 10333575952217406711401 * c7720(9552775107......)

n=19560: c5184(9999000100......) = 2760448397051045016113521 * c5160(3622237644......)

n=19672: c9783(7090947676......) = 11036457934522877009 * c9764(6425021251......)

n=19716: c6240(9901000000......) = 7580858551347752929 * c6222(1306052597......)

n=19742: c9860(7783497464......) = 2150789579965065247493 * c9839(3618902349......)

n=24452: c12213(1277743797......) = 321762623773184081 * c12195(3971075890......)

n=24634: c12090(8587249184......) = 13226753906654693773 * c12071(6492333073......)

n=25302: c8396(5889892595......) = 16498136433872281333 * c8377(3570035087......)

n=146120: c53720(1001141640......) = 95438597652696481 * c53703(1048990308......)

n=146146: c51841(1099999889......) = 10787053797521 * c51828(1019740802......)

n=146440: c50104(4098470879......) = 15983321495681 * c50091(2564217256......)

n=146984: c69547(2268042172......) = 17395436083601089 * c69531(1303814495......)

n=147474: c49127(1391924610......) = 22228363296739 * c49113(6261930270......)

n=148742: c67591(1171188983......) = 10171824748207 * c67578(1151404995......)

n=149384: c73361(1000099999......) = 39515132164609 * c73347(2530929153......)

n=149524: c72129(1009999999......) = 44134881255089 * c72115(2288439373......)

n=149760: c36851(1180033558......) = 1568335423749121 * c36835(7524114681......)

n=149788: c74892(9900990099......) = 262758610640861 * c74878(3768093488......)

# 139731 of 200000 Φn(10) factorizations were cracked. 200000 個中 139731 個の Φn(10) の素因数が見つかりました。

December 28, 2017 2017 年 12 月 28 日 (Makoto Kamada)

n=139332: c43639(5508565006......) = 2277647061835694209 * c43621(2418533186......)

n=139362: c46447(1971303381......) = 752309395400004121 * c46429(2620335986......)

n=139368: c46432(1769630017......) = 13699733346483409 * c46416(1291725884......)

n=139374: c44352(9999999990......) = 10513873975405914739 * c44333(9511242015......)

n=139386: c42859(1088104151......) = 738686628652846693 * c42841(1473025380......)

n=139392: c42235(7173961389......) = 187285014398593 * c42221(3830504759......)

n=139452: c46475(1448523565......) = 339125877678932041 * c46457(4271344834......)

n=139464: c42603(2391827544......) = 3070533263683792411551203174161 * c42572(7789616131......)

n=139518: c44352(9990010000......) = 1330117530255721 * c44337(7510622011......)

# P-1 B1=1e6

# 139722 of 200000 Φn(10) factorizations were cracked. 200000 個中 139722 個の Φn(10) の素因数が見つかりました。

December 27, 2017 2017 年 12 月 27 日 (Makoto Kamada)

n=139098: c45696(9100000000......) = 6993467003631649 * c45681(1301214404......)

n=139134: c46369(7246008016......) = 5646122614602013 * c46354(1283360017......)

n=139206: c46386(9489220731......) = 44268975561458208931 * c46367(2143537457......)

n=139212: c46358(3013705998......) = 5295759260104092423731265361 * c46330(5690791161......)

n=139218: c46405(1098901098......) = 564991448525598769 * c46387(1944987135......)

n=139248: c46369(1000000000......) = 24728218035122197171266318999361 * c46337(4043963048......)

n=139254: c46406(6507143568......) = 17073753341052613 * c46390(3811196893......)

# P-1 B1=1e6

# 139720 of 200000 Φn(10) factorizations were cracked. 200000 個中 139720 個の Φn(10) の素因数が見つかりました。

December 26, 2017 2017 年 12 月 26 日 (Makoto Kamada)

n=138948: c46313(1009998990......) = 104719842298417361881 * c46292(9644771877......)

n=139026: c41209(7527889772......) = 4217586646116637 * c41194(1784880881......)

n=139044: c46338(2269962123......) = 19930508144389 * c46325(1138938408......)

# P-1 B1=1e6

# 139717 of 200000 Φn(10) factorizations were cracked. 200000 個中 139717 個の Φn(10) の素因数が見つかりました。

December 25, 2017 2017 年 12 月 25 日 (Alfred Reich)

n=20034: c5612(1663810457......) = 66676770188472784377255247 * c5586(2495337510......)

n=20064: c5727(4256959799......) = 821794136984243509153 * c5706(5180080518......)

n=20078: c10023(1109436422......) = 3150116127511755525859 * c10001(3521890549......)

n=20130: c4748(8940062854......) = 12265695173169338416891 * c4726(7288671965......)

n=20156: c10065(2540517779......) = 8369492810648987676173089 * c10040(3035450100......)

n=20248: c10109(1279322661......) = 503273419200458199521 * c10088(2542003237......)

n=20310: c5392(2642196829......) = 55213466645715153488371 * c5369(4785421002......)

n=20316: c6751(3467010380......) = 1786838360858671069 * c6733(1940304426......)

n=20432: c10196(1209778765......) = 1598727601862288203217 * c10174(7567135037......)

n=20478: c6819(3577489733......) = 2410805295540500160943 * c6798(1483939719......)

n=20506: c10236(4885195365......) = 238774232329829528877001 * c10213(2045947470......)

n=20450: c8133(5791221595......) = 24789659859135436461401 * c8111(2336144032......)

n=20534: c10245(2551269875......) = 369400877834471849 * c10227(6906507343......)

n=20568: c6815(5715401686......) = 18383746181081749921 * c6796(3108942883......)

n=20608: c8440(1618789853......) = 7603244094757419656136961 * c8415(2129077842......)

n=20786: c9808(1193222568......) = 11167388765822905279327 * c9786(1068488429......)

n=100016: c39721(1648698308......) = 31846492723697 * c39707(5177016893......)

n=100032: c33281(1000000000......) = 88972022109438558913 * c33261(1123948828......)

n=100112: c50040(1550335622......) = 13314281974360657 * c50024(1164415494......)

n=100200: c26542(1508886208......) = 13965917082001 * c26529(1080406105......)

n=100354: c50176(9090909090......) = 289015154400293 * c50162(3145478343......)

# 139716 of 200000 Φn(10) factorizations were cracked. 200000 個中 139716 個の Φn(10) の素因数が見つかりました。

December 23, 2017 2017 年 12 月 23 日 (Alfred Reich)

n=22666: c9699(1125313537......) = 882948647005262699 * c9681(1274494888......)

n=22738: c11349(6282968098......) = 449300046060370085330448211 * c11323(1398390263......)

n=22802: c10513(1099999999......) = 533490820908947181463 * c10492(2061891145......)

n=23030: c7703(8295637026......) = 688287762304819831841 * c7683(1205257085......)

n=23204: c11527(2041908992......) = 28831132202805181 * c11510(7082305953......)

n=23522: c11097(4331946082......) = 45571849529430717028001 * c11074(9505749990......)

n=140006: c69994(3212878866......) = 2430409233792369085463 * c69973(1321949744......)

n=140032: c69888(9999999999......) = 66202272029953 * c69875(1510522175......)

n=140036: c64609(1009999999......) = 12985427298389209 * c64592(7777949672......)

n=140040: c37248(9999999999......) = 22446497974171681 * c37232(4455037935......)

n=140044: c69258(6010012323......) = 236395293200849 * c69244(2542357016......)

n=140186: c67649(1099999999......) = 76165845323819 * c67635(1444216886......)

n=140244: c40302(4791997818......) = 3799175100250141 * c40287(1261325864......)

n=140332: c70164(9900990099......) = 86977519458749 * c70151(1138338982......)

n=140576: c66881(1000000000......) = 10212461782798817 * c66864(9791958308......)

n=140638: c66601(1099999999......) = 13936766757569 * c66587(7892791916......)

n=140662: c68939(6479607955......) = 530363333576819 * c68925(1221730000......)

n=140762: c70352(1288442668......) = 1938907276628171 * c70336(6645200024......)

n=140794: c64000(9090909090......) = 17785900465007 * c63987(5111301004......)

n=141104: c70526(3472706892......) = 376911459695009 * c70511(9213587975......)

n=141454: c69961(1099999999......) = 14652382169413 * c69947(7507311693......)

n=141562: c68827(2590142858......) = 68672148904133 * c68813(3771751575......)

n=141652: c60697(1009999999......) = 79766998314529 * c60683(1266187798......)

n=141774: c47244(2872408739......) = 26054294690143 * c47231(1102470350......)

n=141842: c70920(9090909090......) = 10483145771611 * c70907(8671928530......)

n=141900L: c16786(1480015867......) = 283388478222301 * c16771(5222568952......)

n=142006: c64795(6401733077......) = 37331256256379 * c64782(1714845338......)

n=142016: c60673(1000000000......) = 5491687301147713 * c60657(1820933977......)

n=142058: c59588(2054939544......) = 22198728174211 * c59574(9257014763......)

n=142076: c64561(1009999999......) = 169533166329869 * c64546(5957536344......)

n=142224: c47393(1000000009......) = 45971053869959377 * c47376(2175281891......)

n=142294: c71135(3266983315......) = 639964590868859 * c71120(5104943870......)

n=142402: c65706(2491809309......) = 55238182657477 * c65692(4511026955......)

n=142514: c71233(3095742619......) = 37605525322487 * c71219(8232148316......)

n=142714: c59746(9028080737......) = 11527300773847 * c59733(7831912183......)

n=142834: c67201(1099999999......) = 86386107754489 * c67187(1273352890......)

n=142870: c44909(2359205505......) = 509962738087531 * c44894(4626231151......)

n=142902: c44722(5419895839......) = 159381244429903 * c44708(3400585720......)

n=143122: c61318(2205003122......) = 306398634260990783 * c61300(7196517464......)

n=143194: c71590(3527035414......) = 27341844974369 * c71577(1289977109......)

n=143698: c71836(3122365295......) = 21508076752807 * c71823(1451717571......)

n=143710: c49248(9091000909......) = 57381011090761 * c49235(1584322188......)

n=143824: c70401(1000000009......) = 81296314646401 * c70387(1230068071......)

n=143836: c55911(9661090715......) = 60752966822549 * c55898(1590225337......)

# 139714 of 200000 Φn(10) factorizations were cracked. 200000 個中 139714 個の Φn(10) の素因数が見つかりました。

December 25, 2017 2017 年 12 月 25 日 (NeuralMiner)

# via yoyo@home

n=5780M: c1032(5871179545......) = 566172533277589638952637358217083696315144309601 * c985(1036994767......)

# ECM B1=11000000, sigma=0:8915823689914353778

December 25, 2017 2017 年 12 月 25 日 (Makoto Kamada)

n=138822: c43511(7321743503......) = 5218703111387030363317 * c43490(1402981420......)

n=138858: c46263(9624435621......) = 1222924652861299 * c46248(7870015212......)

n=138906: c46297(1000999998......) = 157946176849717 * c46282(6337601953......)

# P-1 B1=1e6

# 139696 of 200000 Φn(10) factorizations were cracked. 200000 個中 139696 個の Φn(10) の素因数が見つかりました。

December 24, 2017 2017 年 12 月 24 日 (Legoman)

# via yoyo@home

n=1197: c587(1083353809......) = 22005900343041974560744274934676975393449397 * c543(4923015155......)

# ECM B1=110000000, sigma=0:14260221117156359926

December 24, 2017 2017 年 12 月 24 日 (mussman)

# via yoyo@home

n=1197: c625(1379107554......) = 127299829734328501871992084225690229563 * c587(1083353809......)

# ECM B1=110000000, sigma=0:13789025679953582860

December 24, 2017 2017 年 12 月 24 日 (Makoto Kamada)

n=138528: c41472(9999999999......) = 453027946802118888097 * c41452(2207369340......)

n=138606: c42624(9100000000......) = 13913481141214656769 * c42605(6540419257......)

n=138670: c47371(2403782351......) = 5165965377691867561 * c47352(4653113554......)

n=138672: c45793(1000000000......) = 1450341532475523217 * c45774(6894927695......)

n=138702: c46233(1098901098......) = 83385736773223 * c46219(1317852598......)

# P-1 B1=1e6

# 139695 of 200000 Φn(10) factorizations were cracked. 200000 個中 139695 個の Φn(10) の素因数が見つかりました。

December 23, 2017 2017 年 12 月 23 日 (Makoto Kamada)

n=138288: c44343(1694739825......) = 6584378267900929 * c44327(2573879804......)

n=138312: c43008(9999999999......) = 1557777794446386986401 * c42987(6419400787......)

n=138324: c46098(2704328965......) = 94026533671381 * c46084(2876133852......)

n=138336: c41595(7228724057......) = 2181883878286314049 * c41577(3313065433......)

n=138366: c46102(1048007186......) = 6613588641426049 * c46086(1584627111......)

n=138378: c46125(1098901098......) = 32185815317077 * c46111(3414240366......)

n=138444: c45255(4883324063......) = 3418055384148153109 * c45237(1428684885......)

n=138468: c41920(9901000000......) = 10278154665989101 * c41904(9633052159......)

# P-1 B1=1e6

# 139691 of 200000 Φn(10) factorizations were cracked. 200000 個中 139691 個の Φn(10) の素因数が見つかりました。

December 22, 2017 2017 年 12 月 22 日 (Makoto Kamada)

n=138102: c46026(1090023187......) = 31457211123495285649 * c46006(3465097979......)

n=138114: c46026(2131657194......) = 2030096433281797 * c46011(1050027554......)

n=138162: c46053(1098901098......) = 22443324911487517 * c46036(4896338235......)

n=138168: c43200(9999999999......) = 106394412828838873681 * c43180(9398989791......)

n=138186: c45973(7265991832......) = 195959904360607 * c45959(3707897212......)

n=138192: c46032(6166846507......) = 1426082773350241 * c46017(4324325784......)

n=138246: c46062(1051443043......) = 236395160380575601 * 379304375183803251649 * c46024(1172625458......)

n=138250: c46790(1121415080......) = 42251971123853335096001 * c46767(2654113053......)

n=138252: c44792(9361516316......) = 267120035451787437681488809 * c44766(3504610315......)

n=138258: c46075(3620030591......) = 18297609276096694783 * c46056(1978417254......)

# P-1 B1=1e6

# 139688 of 200000 Φn(10) factorizations were cracked. 200000 個中 139688 個の Φn(10) の素因数が見つかりました。

December 21, 2017 2017 年 12 月 21 日 (Alfred Reich)

n=22216: c11062(8440272460......) = 75527371273755821513 * c11043(1117511746......)

# ECM B1=50000, sigma=1:2882730372

n=23614: c11792(1269801561......) = 22776225234110610541463 * c11769(5575118563......)

# ECM B1=20000, sigma=1:1135666134

December 21, 2017 2017 年 12 月 21 日 (Makoto Kamada)

n=137868: c45953(1009998990......) = 591789259829569 * c45938(1706686921......)

n=137922: c45355(1649480051......) = 1016056227819727 * c45340(1623414143......)

n=137946: c45255(2074917197......) = 106093289459293 * c45241(1955747822......)

n=137958: c45979(3982723423......) = 13573993059013 * c45966(2934083881......)

n=137958: c45979(3982723423......) = 13573993059013 * x45966(2934083881......)

n=138018: c45986(1832790295......) = 3042382309466430691 * c45967(6024194559......)

n=138040: c43009(1000099999......) = 163948681494641 * c42994(6100079554......)

# P-1 B1=1e6

# 139686 of 200000 Φn(10) factorizations were cracked. 200000 個中 139686 個の Φn(10) の素因数が見つかりました。

December 20, 2017 2017 年 12 月 20 日 (Alfred Reich)

n=22044: c6623(3157544954......) = 39640920610683813364681 * c6600(7965367367......)

# ECM B1=50000, sigma=1:2185542954

n=22874: c11407(1360409337......) = 838948229951323423 * c11389(1621565299......)

# ECM B1=9000, sigma=1:4293225569

n=22908: c7193(1611246228......) = 1326815121919823178889 * c7172(1214371317......)

# ECM B1=13000, sigma=1:1935129500

December 19, 2017 2017 年 12 月 19 日 (Makoto Kamada)

n=137772: c44344(2728707376......) = 976769511176092141 * c44326(2793604166......)

n=137796: c45929(1009998990......) = 163281089949806221 * c45911(6185645810......)

n=137830: c42721(1099988890......) = 15757867797211 * 5885576640094691 * c42692(1186046802......)

# P-1 B1=1e6

# 139684 of 200000 Φn(10) factorizations were cracked. 200000 個中 139684 個の Φn(10) の素因数が見つかりました。

December 18, 2017 2017 年 12 月 18 日 (Makoto Kamada)

n=137496: c43008(9999000100......) = 17728272169044677183089 * c42986(5640143610......)

n=137526: c45841(1098901098......) = 4303144817871607 * c45825(2553716282......)

n=137544: c41589(5872158722......) = 36782333420920175089 * c41570(1596461718......)

n=137556: c45825(7285571588......) = 8872561148147950247177761 * c45800(8211351228......)

n=137628: c45850(5338618421......) = 253694723013602338120309 * c45827(2104347445......)

n=137646: c45854(7835348148......) = 88445117010054509222851 * c45831(8858994609......)

n=137658: c45879(7982776998......) = 43903033848613 * c45866(1818274569......)

n=137688: c45875(5259567971......) = 147081753861386746873 * c45855(3575948636......)

# P-1 B1=1e6

# 139682 of 200000 Φn(10) factorizations were cracked. 200000 個中 139682 個の Φn(10) の素因数が見つかりました。

December 17, 2017 2017 年 12 月 17 日 (Alfred Reich)

n=22006: c10984(7990787935......) = 239904179738520804732158771 * c10958(3330824808......)

# ECM B1=1000000-1000000, sigma=0:11569096712299077828

n=22014: c7289(1639174976......) = 58084598736152825736147877 * c7263(2822047517......)

# ECM B1=250000-250000, sigma=1:4206613924

n=22054: c11021(3170845471......) = 2628518955543306014561 * c11000(1206323988......)

# ECM B1=100000-100000, sigma=0:10282246992514825990

n=22098: c7043(2447514214......) = 30578452131328086487 * x7023(8004048745......)

# ECM B1=100000-100000, sigma=0:6239190506361242225

n=22098: x7023(8004048745......) = 2677419740324599997893 * c7002(2989463558......)

# ECM B1=250000-250000, sigma=0:15721978964886012003

n=22136: c11064(9999000099......) = 4673507193238566832535273 * c11040(2139506731......)

# ECM B1=50000, sigma=0:15436630492226243561

# 139680 of 200000 Φn(10) factorizations were cracked. 200000 個中 139680 個の Φn(10) の素因数が見つかりました。

December 17, 2017 2017 年 12 月 17 日 (Makoto Kamada)

n=137322: c45744(5008564215......) = 325321316372881 * c45730(1539574557......)

n=137334: c44706(4732984271......) = 28343011108099 * c44693(1669894653......)

n=137376: c44929(1000000000......) = 5910360759325153 * c44913(1691944097......)

n=137388: c45358(3154962427......) = 203444427236821 * c45344(1550773580......)

n=137406: c45801(1098901098......) = 1694200780560499 * c45785(6486250694......)

n=137410: c43169(5915349938......) = 722695275103593611 * c43151(8185123304......)

n=137442: c45801(9455006703......) = 48231712580250373 * 3604797686107852976994463969 * c45757(5438113438......)

# P-1 B1=1e6

# 139679 of 200000 Φn(10) factorizations were cracked. 200000 個中 139679 個の Φn(10) の素因数が見つかりました。

December 16, 2017 2017 年 12 月 16 日 (Alfred Reich)

n=22216: c11085(2443952886......) = 28955852999885815866721 * c11062(8440272460......)

# ECM B1=200000, sigma=1:290218417

n=22672: c10349(2729136520......) = 5577487942047813685750184641 * c10321(4893128499......)

# ECM B1=5000, sigma=1:3174281991

n=22798: c11363(3957267469......) = 7351074086912569019 * c11344(5383250696......)

# ECM B1=30000, sigma=1:409752524

n=23786: c10183(9249059454......) = 545094373487571503 * c10166(1696781310......)

# ECM B1=5000, sigma=1:2628733087

December 16, 2017 2017 年 12 月 16 日 (Makoto Kamada)

n=137136: c45683(4718159959......) = 16622576734502629393 * c45664(2838404680......)

n=137148: c41506(1292810780......) = 180157554295750538629 * c41485(7176000947......)

n=137154: c45717(1098901098......) = 193154540688726947444533 * c45693(5689232543......)

n=137184: c45684(8284686956......) = 2671063768810475329 * c45666(3101643267......)

n=137196: c44064(9999990000......) = 21435350752441 * c44051(4665186082......)

n=137226: c45729(5835574041......) = 38104260563077 * c45716(1531475471......)

n=137238: c45038(2100824465......) = 215865227857423 * c45023(9732111496......)

# P-1 B1=1e6

# 139677 of 200000 Φn(10) factorizations were cracked. 200000 個中 139677 個の Φn(10) の素因数が見つかりました。

December 15, 2017 2017 年 12 月 15 日 (Makoto Kamada)

n=136840: c49600(9999000099......) = 700955431730146648001 * c49580(1426481577......)

n=136854: c45602(2655385002......) = 816479978964108733 * c45584(3252235291......)

n=136866: c45613(7233359087......) = 828579870653231758423 * c45592(8729827194......)

n=136902: c45607(5709715649......) = 289271154391492699 * c45590(1973828210......)

n=136974: c44345(3019816533......) = 299121625095859 * c44331(1009561422......)

n=136990: c44065(1099988890......) = 38875601521257691 * c44048(2829509633......)

n=137016: c41273(2954824893......) = 14787459819272449 * c41257(1998196397......)

# P-1 B1=1e6

# 139675 of 200000 Φn(10) factorizations were cracked. 200000 個中 139675 個の Φn(10) の素因数が見つかりました。

December 14, 2017 2017 年 12 月 14 日 (Makoto Kamada)

n=136614: c45537(1098901098......) = 1868704816078428362976367 * c45512(5880549402......)

n=136632: c45530(2152841175......) = 159296228633323547569 * c45510(1351470272......)

n=136638: c45522(6959256937......) = 9419448052948321 * 548126622681380371 * c45489(1347896418......)

n=136692: c45553(1000000999......) = 5157551891457478369 * c45534(1938906328......)

n=136716: c45569(1009998990......) = 2572016825830429 * c45553(3926875515......)

n=136734: c42030(2936358135......) = 424865271162463 * c42015(6911268900......)

n=136758: c43542(1130561019......) = 1246420021844350259143 * c43520(9070465807......)

n=136764: c43670(8731619755......) = 49359900579091741 * c43654(1768970288......)

# P-1 B1=1e6

# 139673 of 200000 Φn(10) factorizations were cracked. 200000 個中 139673 個の Φn(10) の素因数が見つかりました。

December 13, 2017 2017 年 12 月 13 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=21563: c21563(1111111111......) = 1078461254893613345267 * c21542(1030274482......)

# ECM B1=5e4, sigma=8829156589234567335

n=21563: c21542(1030274482......) = 3802666255534666859036119361 * c21514(2709347634......)

# ECM B1=5e4, sigma=13679764725772405092

# 139670 of 200000 Φn(10) factorizations were cracked. 200000 個中 139670 個の Φn(10) の素因数が見つかりました。

# 13840 of 17984 Rprime factorizations were cracked. 17984 個中 13840 個の Rprime の素因数が見つかりました。

December 13, 2017 2017 年 12 月 13 日 (Makoto Kamada)

n=136404: c45361(1000000000......) = 414665197700734158049 * c45340(2411584105......)

n=136430: c46747(2221158273......) = 1260559674657953080811 * c46726(1762041352......)

n=136464: c45473(1000000009......) = 23369885231091823192129 * c45450(4279011215......)

n=136482: c42504(9999999999......) = 182705968199263 * c42490(5473274955......)

n=136518: c44633(1882990825......) = 9701673072950335447 * c44614(1940892886......)

n=136566: c45346(8072733190......) = 126581584808993532683797 * c45323(6377494169......)

n=136572: c43027(3419768713......) = 16097811588627529 * c43011(2124368703......)

n=136596: c45529(1009998990......) = 15541086548687383872361 * c45506(6498895600......)

# P-1 B1=1e6

# 139669 of 200000 Φn(10) factorizations were cracked. 200000 個中 139669 個の Φn(10) の素因数が見つかりました。

December 12, 2017 2017 年 12 月 12 日 (Makoto Kamada)

n=136266: c41884(4761361565......) = 421416537930909686491 * c41864(1129846870......)

n=136272: c42496(9999999900......) = 836225864702401 * c42482(1195849150......)

n=136308: c44041(4024997993......) = 101696947389356509 * c44024(3957835605......)

n=136356: c41280(9901000000......) = 44352678381321949 * c41264(2232334181......)

n=136362: c45453(1098901098......) = 2505314318003779 * c45437(4386280360......)

n=136386: c45435(6256757460......) = 26331050071309717 * c45419(2376189876......)

# P-1 B1=1e6

# 139665 of 200000 Φn(10) factorizations were cracked. 200000 個中 139665 個の Φn(10) の素因数が見つかりました。

December 11, 2017 2017 年 12 月 11 日 (Makoto Kamada)

n=136014: c45337(1098901098......) = 30781197086491 * 41743050118516159547851 * c45300(8552418076......)

n=136032: c41459(5514276791......) = 51596306547553 * c41446(1068734791......)

n=136098: c45361(1000999998......) = 13256831410419995533 * 1077461074500317442361 * c45320(7007978397......)

n=136136: c46081(1000099999......) = 4234760632222600481 * c46062(2361644699......)

# P-1 B1=1e6

# 139662 of 200000 Φn(10) factorizations were cracked. 200000 個中 139662 個の Φn(10) の素因数が見つかりました。

December 10, 2017 2017 年 12 月 10 日 (Makoto Kamada)

n=135798: c41730(2553181000......) = 448301088802321 * c41715(5695237117......)

n=135876: c41161(2853251095......) = 86599970745601 * c41147(3294748336......)

n=135966: c40290(1973611120......) = 97470926157778224992383 * c40267(2024820322......)

# P-1 B1=1e6

December 9, 2017 2017 年 12 月 9 日 (Makoto Kamada)

n=135582: c44312(9100000000......) = 77430544911950773 * c44296(1175246798......)

n=135588: c45175(3769867474......) = 2281562624932256059345909 * c45151(1652318211......)

n=135624: c45192(4287246253......) = 532236482465521 * c45177(8055152915......)

n=135726: c45231(3359390538......) = 105470971018145251 * c45214(3185132843......)

# P-1 B1=1e6

# 139659 of 200000 Φn(10) factorizations were cracked. 200000 個中 139659 個の Φn(10) の素因数が見つかりました。

December 8, 2017 2017 年 12 月 8 日 (Makoto Kamada)

n=135310: c46342(2895496087......) = 13393513461117371 * c46326(2161864469......)

n=135336: c45084(4437953025......) = 2554005110412241 * c45069(1737644536......)

n=135426: c45141(1098901098......) = 58348231387576219 * c45124(1883349456......)

n=135438: c45145(1098901098......) = 20307714169207 * 156596002342941752317 * c45111(3455547718......)

n=135444: c45137(3107061955......) = 21480665003338663065587384830429 * c45106(1446445887......)

n=135456: c41975(3535496891......) = 5142622267308832129 * 255831149806035132954650593 * c41930(2687276850......)

n=135468: c43664(7777440044......) = 339622898732384221 * c43647(2290022278......)

n=135486: c41463(4092053216......) = 46779350904501931 * c41446(8747563052......)

n=135498: c41023(2231496850......) = 218309158217041 * c41009(1022172807......)

n=135504: c45121(1000000000......) = 221569530328554193 * c45103(4513255945......)

n=135520: c42228(1791095682......) = 318200725550401 * c42213(5628823377......)

# P-1 B1=1e6

# 139658 of 200000 Φn(10) factorizations were cracked. 200000 個中 139658 個の Φn(10) の素因数が見つかりました。

December 7, 2017 2017 年 12 月 7 日 (Makoto Kamada)

n=135234: c40885(2377300050......) = 2896132367288863099 * c40866(8208533826......)

n=135258: c45085(1098901098......) = 50626976803320007 * c45068(2170584080......)

# P-1 B1=1e6

# 139655 of 200000 Φn(10) factorizations were cracked. 200000 個中 139655 個の Φn(10) の素因数が見つかりました。

December 6, 2017 2017 年 12 月 6 日 (Makoto Kamada)

n=134960: c46060(7218409612......) = 74597489147146561 * 859239990027424321 * c46026(1126167088......)

n=134994: c44364(6096209280......) = 64600207033269981397 * c44344(9436826227......)

n=135012: c45001(1009998990......) = 55421851259316481 * c44984(1822384072......)

n=135018: c41444(7336149091......) = 536277560980435093 * c41427(1367976142......)

n=135054: c43184(9169524023......) = 84840873237207811 * c43168(1080790858......)

n=135070: c49824(9091000000......) = 9855589830288396166509564150666175361 * c49787(9224206928......)

# P-1 B1=1e6

# 139654 of 200000 Φn(10) factorizations were cracked. 200000 個中 139654 個の Φn(10) の素因数が見つかりました。

Largest known factors that appear after the previous one
  1  n=604: 188981422179250214477885038956646476812007525220846625175628245017547495717341304519447280552146559165713534073382085460954497219653965265520569 (NFS@Home / Mar 16, 2017)
  2  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
  3  n=1540M: 647799461893729229242068652342456021003805852058736425973158141325454469108253161834095467738437014341 (NFS@Home / Sep 18, 2013)
  4  n=2340L: 54416219768345058780693800256182138078138198676424989328564702046179663087831396313663972761 (Bo Chen, Wenjie Fang, Maksym Voznyy and Kurt Beschorner / Feb 15, 2016)
  5  n=2700M: 71618803865606542412383896587352242997259054038820075447553395780556284501401142201 (Bo Chen, Maksym Voznyy, Wenjie Fang, Alfred Eichhorn and Kurt Beschorner / May 7, 2017)
  6  n=2820M: 832530561417330269513686172453574642103980456844602894975421 (Eric_ch / Aug 23, 2016)
  7  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
  8  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
  9  n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010)
  10  n=120833: 79670409416595961896605938971188364397 (Maksym Voznyy / Nov 27, 2015)
  11  n=135070: 9855589830288396166509564150666175361 (Makoto Kamada / Dec 6, 2017)
  12  n=199700M: 16745944922383579468094190800250901 (Serge Batalov / Jul 6, 2015)
  13  n=199900L: 612937240365283738637341628923301 (Serge Batalov / Jul 6, 2015)
  14  n=199940L: 37392384580207183395063521 (Serge Batalov / Jul 6, 2015)
  15  n=199996: 599236237566764612695261 (Serge Batalov / Jul 7, 2015)
  16  n=199999: 35434773177895836763 (Serge Batalov / Jul 6, 2015)
  17  n=200000: 572400001 (Makoto Kamada / Apr 1, 2015)

December 5, 2017 2017 年 12 月 5 日 (Makoto Kamada)

n=134766: c44893(1641714484......) = 111087577143649 * c44879(1477856054......)

n=134772: c40784(9509344312......) = 2168761961960749 * c40769(4384687890......)

n=134796: c43792(9901000000......) = 164796146537521 * c43778(6008028833......)

n=134808: c43520(9999000100......) = 121218092605969 * c43506(8248768715......)

n=134844: c42240(9901000000......) = 3226206303232005884067649 * c42216(3068929593......)

n=134868: c44953(1009998990......) = 64363789456789 * c44939(1569203737......)

n=134892: c44918(3100712331......) = 10575188013215269 * c44902(2932063550......)

# P-1 B1=1e6

# 139652 of 200000 Φn(10) factorizations were cracked. 200000 個中 139652 個の Φn(10) の素因数が見つかりました。

December 4, 2017 2017 年 12 月 4 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=21467: c21467(1111111111......) = 981327476030973157844191921 * c21440(1132253134......)

# ECM B1=5e4, sigma=5287251095017369153

# 139648 of 200000 Φn(10) factorizations were cracked. 200000 個中 139648 個の Φn(10) の素因数が見つかりました。

# 13839 of 17984 Rprime factorizations were cracked. 17984 個中 13839 個の Rprime の素因数が見つかりました。

December 4, 2017 2017 年 12 月 4 日 (Makoto Kamada)

n=134514: c43048(1458538434......) = 507142005059395081 * c43030(2875996112......)

n=134556: c44849(1009998990......) = 2075797640247361 * 127533663631046819227365241 * c44807(3815145362......)

n=134586: c44843(2816018406......) = 650596279658041 * c44828(4328365369......)

n=134592: c44787(5406703261......) = 65535265637576075713 * c44767(8250066905......)

n=134596: c47509(8851853737......) = 4525062971336909 * c47494(1956183547......)

n=134622: c44713(1000000000......) = 1397057771382877 * 2560010003325358957 * c44679(2796043811......)

n=134628: c41376(9901000000......) = 47609059019341 * c41363(2079646227......)

n=134680: c41466(1856437136......) = 16020050731987121 * c41450(1158821009......)

# P-1 B1=1e6

# 139647 of 200000 Φn(10) factorizations were cracked. 200000 個中 139647 個の Φn(10) の素因数が見つかりました。

December 3, 2017 2017 年 12 月 3 日 (Makoto Kamada)

n=134328: c42997(2079856160......) = 16034279413300081 * c42981(1297131044......)

n=134330: c43186(1666023780......) = 366020690045182791520721 * c43162(4551720232......)

n=134352: c44616(4463073863......) = 138662874699841 * c44602(3218650899......)

n=134454: c44804(4085821296......) = 11107866056841247 * c44788(3678313436......)

n=134466: c44038(1267770589......) = 834217685459127583681 * c44017(1519711955......)

n=134470: c43009(1099988890......) = 1144671630051041 * c42993(9609645781......)

# P-1 B1=1e6

# 139644 of 200000 Φn(10) factorizations were cracked. 200000 個中 139644 個の Φn(10) の素因数が見つかりました。

December 2, 2017 2017 年 12 月 2 日 (Makoto Kamada)

n=134142: c43982(2331558477......) = 57009861454837 * c43968(4089745909......)

n=134196: c43637(1600416651......) = 10960542823635352859122256761 * c43609(1460161852......)

n=134262: c44721(5217931043......) = 1347052976117011 * c44706(3873590078......)

n=134286: c44742(1078417729......) = 1478783280949225693009 * c44720(7292601582......)

n=134292: c41006(4192990603......) = 21741329632225561 * c40990(1928580576......)

# P-1 B1=1e6

December 1, 2017 2017 年 12 月 1 日 (Makoto Kamada)

n=133908: c44608(2199380385......) = 6519338330173369 * 956287121457721789 * c44574(3527837079......)

n=133944: c44634(1777750442......) = 80225553103538641 * c44617(2215940400......)

n=133956: c43900(5743862590......) = 3547656736038140134441411081 * c43873(1619058160......)

n=133962: c43952(9100000000......) = 4751024105701394179 * c43934(1915376516......)

n=133968: c44641(1000000009......) = 2619900310978417 * c44625(3816939162......)

n=134028: c41472(9999999999......) = 10613691940451081401 * c41453(9421792205......)

n=134088: c43200(9999000100......) = 6884534755000153 * c43185(1452385739......)

# P-1 B1=1e6

# 139643 of 200000 Φn(10) factorizations were cracked. 200000 個中 139643 個の Φn(10) の素因数が見つかりました。

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