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November 20, 2017 2017 年 11 月 20 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=72383: c72383(1111111111......) = 135363222773136132720403 * c72359(8208367740......)

# ECM B1=11e3, sigma=13065345815521750303

# 139624 of 200000 Φn(10) factorization were cracked. 200000 個中 139624 個の Φn(10) の素因数が見つかりました。

# 13838 of 17984 Rprime factorization were cracked. 17984 個中 13838 個の Rprime の素因数が見つかりました。

November 20, 2017 2017 年 11 月 20 日 (Makoto Kamada)

n=131658: c43878(1391105439......) = 29158455381259 * c43864(4770847499......)

n=131664: c40315(2531690409......) = 50265919980433 * 346091478227041 * c40287(1455278305......)

n=131706: c43724(2409736661......) = 2042887194879859 * c43709(1179574020......)

n=131724: c43897(1000000999......) = 6050036137385269 * c43881(1652884341......)

n=131778: c43915(7596050956......) = 45780993516872377488367 * c43893(1659214965......)

# P-1 B1=1e6

# 139623 of 200000 Φn(10) factorization were cracked. 200000 個中 139623 個の Φn(10) の素因数が見つかりました。

November 19, 2017 2017 年 11 月 19 日 (Makoto Kamada)

n=131436: c43728(4196122279......) = 158428738448349121 * c43711(2648586563......)

n=131442: c41465(3410446016......) = 8376955301485707019 * c41446(4071223843......)

n=131448: c43802(8453694867......) = 35246401916137 * c43789(2398456128......)

n=131480: c49536(9999000099......) = 41912307172961 * 265064697520564481 * c49505(9000427004......)

n=131530: c45058(1927116410......) = 5867468740075366481 * c45039(3284408483......)

n=131568: c43828(3867412151......) = 290119748077822981729 * c43808(1333039952......)

n=131574: c43857(1098901098......) = 156981917257969 * c43842(7000176313......)

n=131598: c43842(1101289688......) = 20816438222807620584517 * c43819(5290480900......)

# P-1 B1=1e6

# 139622 of 200000 Φn(10) factorization were cracked. 200000 個中 139622 個の Φn(10) の素因数が見つかりました。

November 18, 2017 2017 年 11 月 18 日 (Makoto Kamada)

n=131256: c43721(7774182391......) = 26244056654713 * 6778016274113307649 * c43689(4370399638......)

n=131286: c43761(1098901098......) = 18078007931115943 * c43744(6078662555......)

n=131320: c44352(9999999999......) = 11311720884764161 * c44336(8840387861......)

n=131358: c43776(1092983540......) = 7843365268694131644807096379 * c43748(1393513502......)

n=131410: c49408(9091000000......) = 252851822092105931 * c49391(3595386390......)

n=131424: c42625(1000000000......) = 118682251294513231132175713 * c42598(8425859714......)

# P-1 B1=1e6

# 139620 of 200000 Φn(10) factorization were cracked. 200000 個中 139620 個の Φn(10) の素因数が見つかりました。

November 17, 2017 2017 年 11 月 17 日 (Makoto Kamada)

n=131016: c42432(9999000100......) = 202155625415113 * p42418(4946189392......)

makoto@betelgeuse /cygdrive/c/factorize/Phin10
$ ./pfgw64 -tc -q"(10^12+1)*(10^212+1)*(10^412+1)*(10^65508+1)/(10^636+1)/(10^1236+1)/(10^21836+1)/2021758409776545113"
PFGW Version 3.8.3.64BIT.20161203.Win_Dev [GWNUM 28.6]

Primality testing (10^12+1)*(10^212+1)*(10^412+1)*(10^65508+1)/(10^636+1)/(10^1236+1)/(10^21836+1)/2021758409776545113 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.06% and helper 0.00% (0.17% proof)
(10^12+1)*(10^212+1)*(10^412+1)*(10^65508+1)/(10^636+1)/(10^1236+1)/(10^21836+1)/2021758409776545113 is Fermat and Lucas PRP! (159.5583s+0.0503s)

n=131022: c41978(1093440477......) = 12760173501263047 * c41961(8569166218......)

n=131034: c43670(3646251567......) = 95722813149499 * c43656(3809177193......)

n=131058: c43604(3318823247......) = 2152139389473626747387407 * c43580(1542104226......)

n=131170: c48364(9982309855......) = 5834093968019201 * c48349(1711030009......)

n=131202: c42318(8126962880......) = 63744927290641 * 73452581470412159770081 * c42282(1735703673......)

# P-1 B1=1e6

# 1136 of 200000 Φn(10) factorization were finished. 200000 個中 1136 個の Φn(10) の素因数分解が終わりました。

# 139616 of 200000 Φn(10) factorization were cracked. 200000 個中 139616 個の Φn(10) の素因数が見つかりました。

November 16, 2017 2017 年 11 月 16 日 (Makoto Kamada)

n=130760: c44722(7793164426......) = 2585189621267681 * c44707(3014542671......)

n=130776: c43585(1000099999......) = 3982961908169708449 * c43566(2510945429......)

n=130790: c44785(3069292536......) = 1629126991772171 * c44770(1884010609......)

n=130848: c41207(3256681879......) = 70555913263362401459329 * c41184(4615746191......)

n=130866: c41024(9100000000......) = 13197232133910967 * c41008(6895385265......)

n=130884: c40208(1062885255......) = 1986646881683369579309221 * c40183(5350146850......)

n=130902: c43621(7267855386......) = 296043940803986297547397 * c43598(2454992109......)

n=130908: c43633(1009998990......) = 228550912615009 * c43618(4419142231......)

n=130974: c42959(4426851776......) = 8979445024122296011 * c42940(4929983718......)

n=130986: c41227(7573796984......) = 10603814698555093 * c41211(7142521064......)

# P-1 B1=1e6

# 139615 of 200000 Φn(10) factorization were cracked. 200000 個中 139615 個の Φn(10) の素因数が見つかりました。

November 15, 2017 2017 年 11 月 15 日 (Makoto Kamada)

n=130520: c47973(5057111148......) = 4752183630941521039201 * c47952(1064165769......)

n=130542: c43513(1098901098......) = 407947197044565968323771 * c43489(2693733666......)

n=130570: c47440(9091000000......) = 5668046415925985521 * c47422(1603903590......)

n=130608: c43466(3398684038......) = 220272896930833 * c43452(1542942452......)

n=130632: c43531(7655799070......) = 223842693393688458961 * c43511(3420169295......)

n=130638: c43538(6008427311......) = 56190384345551817149797 * c43516(1069298133......)

n=130644: c41040(9999990000......) = 69539669089921 * c41027(1438026687......)

n=130668: c43553(1009998990......) = 681119637945251509 * c43535(1482851078......)

n=130674: c42000(9100000000......) = 3421544827245331 * c41985(2659617353......)

n=130716: c43561(1000000999......) = 419494549666429 * c43546(2383823581......)

n=130722: c43573(1098901098......) = 528008090990896063 * c43555(2081220188......)

# P-1 B1=1e6

# 139612 of 200000 Φn(10) factorization were cracked. 200000 個中 139612 個の Φn(10) の素因数が見つかりました。

November 14, 2017 2017 年 11 月 14 日 (Makoto Kamada)

n=130308: c43426(5167236973......) = 38599783491051190156549 * c43404(1338669936......)

n=130314: c42192(9100000000......) = 650064107583338203391773 * c42169(1399861935......)

n=130332: c43428(5587036651......) = 1032733531999635841 * c43410(5409949883......)

n=130344: c43441(1000099999......) = 109406828942161 * c43426(9141111296......)

n=130356: c40293(3459403124......) = 3879183155690016138681901 * c40268(8917864884......)

n=130398: c42833(1965812532......) = 7013975322370207 * c42817(2802708082......)

n=130404: c43459(3872561874......) = 16625396610649 * c43446(2329304957......)

n=130464: c43193(1197648379......) = 4061827376838135115637761 * c43168(2948545735......)

n=130480: c44544(9999999900......) = 683191615534750561 * c44527(1463718182......)

# P-1 B1=1e6

# 139605 of 200000 Φn(10) factorization were cracked. 200000 個中 139605 個の Φn(10) の素因数が見つかりました。

November 13, 2017 2017 年 11 月 13 日 (Makoto Kamada)

n=130008: c43313(1477106574......) = 38411465147017 * 58257788284057 * c43285(6600805946......)

n=130098: c43359(8446652925......) = 1283527900622287 * c43344(6580809751......)

n=130176: c43009(1000000000......) = 37235813936257 * c42995(2685586520......)

n=130212: c43379(2941736884......) = 1196958807863408370349 * c43358(2457675957......)

n=130224: c43375(3702151781......) = 21596211294577 * c43362(1714259844......)

n=130248: c42769(1000000000......) = 1255046310712081 * c42753(7967833469......)

# P-1 B1=1e6

# 139602 of 200000 Φn(10) factorization were cracked. 200000 個中 139602 個の Φn(10) の素因数が見つかりました。

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

n=129768: c43242(8563137836......) = 103100154709958497753 * c43222(8305649841......)

n=129786: c42624(9100000000......) = 750832709414824447 * c42607(1211987688......)

n=129798: c43261(1000999998......) = 52359653158453 * c43247(1911777367......)

n=129800: c46374(1985750100......) = 31208718963201036401 * c46354(6362805545......)

n=129894: c43288(2512617611......) = 18909748869247 * c43275(1328741924......)

n=129910: c47187(1610255989......) = 11689707468787811 * c47171(1377498961......)

n=129912: c43297(1000099999......) = 27465521101811279243761 * c43274(3641292645......)

n=129918: c42451(3502195607......) = 34622899100865841 * c42435(1011525810......)

n=129920: c43008(9999999999......) = 605341710301441 * c42994(1651959518......)

n=129936: c43291(7696037387......) = 228705245300593 * c43277(3365046296......)

n=129942: c43298(1845430742......) = 2277115833842187135823 * c43276(8104246234......)

n=129984: c43265(1000000000......) = 443090964755934440903697982657 * c43235(2256872921......)

# P-1 B1=1e6

# 139600 of 200000 Φn(10) factorization were cracked. 200000 個中 139600 個の Φn(10) の素因数が見つかりました。

November 11, 2017 2017 年 11 月 11 日 (Makoto Kamada)

n=129514: c48720(9999999999......) = 2523051660516197073612573841 * c48693(3963454318......)

n=129522: c43153(8522458803......) = 179953474838503 * c43139(4735923444......)

n=129560: c49920(9999000099......) = 31221549215478365921 * c49901(3202595755......)

n=129606: c43188(1253240822......) = 317879696319969177013 * c43167(3942500375......)

n=129618: c40808(5007829183......) = 221933621250689965650581442859 * c40779(2256453598......)

n=129666: c43202(1106527593......) = 819859651227613 * c43187(1349654896......)

n=129672: c43182(4617455695......) = 12352186834725550133295649 * c43157(3738168599......)

n=129678: c43195(4145675995......) = 89169648640543453 * c43178(4649200774......)

n=129702: c43210(1296008490......) = 1552007369045112289 * c43191(8350530523......)

n=129710: c41451(1304668656......) = 23994921265492349127857441 * c41425(5437270003......)

# P-1 B1=1e6

# 139595 of 200000 Φn(10) factorization were cracked. 200000 個中 139595 個の Φn(10) の素因数が見つかりました。

November 10, 2017 2017 年 11 月 10 日 (Makoto Kamada)

n=129320: c49920(9999000099......) = 1836952290760481 * c49905(5443255195......)

n=129342: c43098(2549564947......) = 796235092715329 * c43083(3202025345......)

n=129350: c47506(3568393902......) = 1643695169399401 * 2822713547608731401 * c47472(7691033484......)

n=129384: c43057(1000000000......) = 1724981209245272520937 * c43035(5797164598......)

n=129408: c42991(3081655134......) = 178033533712090753 * c42974(1730940834......)

n=129490: c49451(7020565135......) = 17738786287061131 * c49435(3957748304......)

# P-1 B1=1e6

# 139593 of 200000 Φn(10) factorization were cracked. 200000 個中 139593 個の Φn(10) の素因数が見つかりました。

November 9, 2017 2017 年 11 月 9 日 (Makoto Kamada)

n=129080: c44155(3873164459......) = 331031611185600265155601 * c44132(1170028579......)

n=129132: c40306(1688095651......) = 54145842354917851037801941 * c40280(3117682869......)

n=129258: c41818(1142441004......) = 2560410352634319127 * c41799(4461944949......)

n=129288: c43089(1000099999......) = 35926813058233 * c43075(2783714765......)

n=129306: c41164(4792072434......) = 213381554403973571653 * c41144(2245776326......)

# P-1 B1=1e6

# 139591 of 200000 Φn(10) factorization were cracked. 200000 個中 139591 個の Φn(10) の素因数が見つかりました。

November 8, 2017 2017 年 11 月 8 日 (Makoto Kamada)

n=128810: c46782(9260221205......) = 2775494185851556291 * c46764(3336422483......)

n=128868: c42946(2528215260......) = 1061283801107221 * c42931(2382223546......)

n=128870: c44016(9999999000......) = 11929528743808201 * c44000(8382559960......)

n=128892: c41008(9901000000......) = 1078205794811149 * c40993(9182848068......)

n=128916: c42961(1000000999......) = 124745798994222588769 * c42940(8016310032......)

n=128958: c42973(4294417850......) = 30917066826146863 * c42957(1389012054......)

n=129006: c42955(5143114698......) = 65181852488411303023 * c42935(7890408913......)

n=129010: c41458(1833247508......) = 95182891029588332299561 * c41435(1926026293......)

# P-1 B1=1e6

# 139590 of 200000 Φn(10) factorization were cracked. 200000 個中 139590 個の Φn(10) の素因数が見つかりました。

November 7, 2017 2017 年 11 月 7 日 (astroboylok)

# via yoyo@home

n=1186: c592(9090909090......) = 2909076542620598524499532435958736860811671130747534094532375046661903161 * p520(3125015432......)

# ECM B1=110000000, sigma=0:16299314430696221325

# 1135 of 200000 Φn(10) factorization were finished. 200000 個中 1135 個の Φn(10) の素因数分解が終わりました。

# 139587 of 200000 Φn(10) factorization were cracked. 200000 個中 139587 個の Φn(10) の素因数が見つかりました。

November 7, 2017 2017 年 11 月 7 日 (Makoto Kamada)

n=128694: c42231(1809698953......) = 2877923584664295609583 * c42209(6288210580......)

n=128736: c42609(8461896063......) = 29379508089439530241 * c42590(2880203452......)

n=128748: c42906(1307462199......) = 10263235018946149 * c42890(1273927954......)

n=128800: c42240(9999999999......) = 7693378929913601 * c42225(1299818986......)

# 139586 of 200000 Φn(10) factorization were cracked. 200000 個中 139586 個の Φn(10) の素因数が見つかりました。

# P-1 B1=1e6

November 6, 2017 2017 年 11 月 6 日 (Makoto Kamada)

n=128470: c49499(1769086617......) = 808919284110331561 * c49481(2186975452......)

n=128508: c42833(1009998990......) = 19648477028469661 * c42816(5140342371......)

n=128556: c42841(1000000999......) = 439065830705581 * 833950780138909 * c42811(2731054548......)

n=128598: c42865(1098901098......) = 514794856382641 * c42850(2134638847......)

# P-1 B1=1e6

# 139585 of 200000 Φn(10) factorization were cracked. 200000 個中 139585 個の Φn(10) の素因数が見つかりました。

November 5, 2017 2017 年 11 月 5 日 (Makoto Kamada)

n=128274: c42757(1098901098......) = 227359156722810157 * c42739(4833326771......)

n=128350: c47984(5686784967......) = 20080609451051 * c47971(2831978273......)

n=128364: c40459(1101887598......) = 1327173067871881 * 187967239433282027161 * c40423(4417001757......)

n=128390: c49813(1225562300......) = 241354570668026151765001 * c49789(5077849975......)

n=128406: c42788(7934268902......) = 186147790720918771 * c42771(4262349218......)

n=128412: c40320(9999999999......) = 119812974185587429 * c40303(8346341510......)

# P-1 B1=1e6

# 139582 of 200000 Φn(10) factorization were cracked. 200000 個中 139582 個の Φn(10) の素因数が見つかりました。

November 4, 2017 2017 年 11 月 4 日 (Makoto Kamada)

n=127938: c42645(1098901098......) = 109980222641689 * c42630(9991806458......)

n=127946: c46642(8871076136......) = 278654343851013859 * c46625(3183541305......)

n=127992: c42619(8094143853......) = 1313481102754371601 * c42601(6162360338......)

n=128118: c42114(7892023245......) = 144563853507004346156893 * c42091(5459195403......)

# P-1 B1=1e6

# 139580 of 200000 Φn(10) factorization were cracked. 200000 個中 139580 個の Φn(10) の素因数が見つかりました。

November 3, 2017 2017 年 11 月 3 日 (Alfred Reich)

n=6020M: c996(2651203527......) = 377659045698120991814418877959941381 * c960(7020098041......)

# ECM B1=28000000, sigma=1:612335155

November 3, 2017 2017 年 11 月 3 日 (Makoto Kamada)

n=127730: c49897(6088868515......) = 2248407366822241 * c49882(2708080664......)

n=127782: c41040(9990010000......) = 3225772999893027822967 * c41019(3096935215......)

n=127790: c47136(9091000000......) = 1304961083002011371 * c47118(6966491275......)

n=127812: c42584(7511415923......) = 957856273485961 * c42569(7841902936......)

n=127840: c47099(1955565637......) = 3894891547540801 * c47083(5020847470......)

n=127884: c42615(1900925329......) = 672642182605566029630749 * c42591(2826057268......)

# P-1 B1=1e6

# 139579 of 200000 Φn(10) factorization were cracked. 200000 個中 139579 個の Φn(10) の素因数が見つかりました。

November 2, 2017 2017 年 11 月 2 日 (Makoto Kamada)

n=127482: c42480(1073296520......) = 3860586798136009 * c42464(2780138296......)

n=127572: c42521(1009998990......) = 758920607938101541 * c42503(1330836163......)

n=127626: c41854(7332797310......) = 7320582049326429237191413 * c41830(1001668618......)

n=127662: c42547(8607827631......) = 176405174358037 * 316917936943375447 * 8798797619464227293329 * c42494(1749895415......)

n=127668: c42531(1062363213......) = 31532249416995469741 * c42511(3369132343......)

n=127674: c41280(9990010000......) = 23447307151701475687 * c41261(4260621458......)

# P-1 B1=1e6

# 139577 of 200000 Φn(10) factorization were cracked. 200000 個中 139577 個の Φn(10) の素因数が見つかりました。

November 1, 2017 2017 年 11 月 1 日 (Makoto Kamada)

n=127206: c41016(6805992497......) = 899627794915513249 * c40998(7565342618......)

n=127242: c42372(6199908197......) = 138494947706299 * c42358(4476631314......)

n=127280: c48366(1015710003......) = 1779525593620961 * c48350(5707757208......)

n=127308: c42006(1954250479......) = 223375177628633489206801 * c41982(8748736097......)

n=127310: c49050(6491665661......) = 574252957926688641691 * c49030(1130454022......)

n=127326: c42441(1098901098......) = 457740305304571 * 378460583111952703 * c42408(6343351809......)

n=127392: c42423(9572910339......) = 68311405917793 * c42410(1401363390......)

# P-1 B1=1e6

# 139575 of 200000 Φn(10) factorization were cracked. 200000 個中 139575 個の Φn(10) の素因数が見つかりました。

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