n=122798: c56648(2879352710......) = 283572017603032757 * c56631(1015386756......)
n=122816: c57580(2444949977......) = 1093060896651224257 * c57562(2236792099......)
n=122822: c50760(9090910000......) = 4812387987171731 * c50745(1889064228......)
n=122854: c56150(9349159765......) = 79240106753587841 * c56134(1179851990......)
n=122884: c59389(2063058817......) = 1141446495708929 * c59374(1807407377......)
n=122902: c54432(9090909090......) = 297387729848249 * c54418(3056921378......)
n=122906: c52655(6129565323......) = 288637727691861157 * c52638(2123618895......)
# P-1 B1=1e6
# 199738 of 300000 Φn(10) factorizations were cracked. 300000 個中 199738 個の Φn(10) の素因数が見つかりました。
n=122654: c52547(1595783537......) = 5043312131843693 * c52531(3164157790......)
n=122655: c55275(8008376713......) = 227579792910601 * c55261(3518931365......)
n=122698: c59341(1099999999......) = 1003985037908357 * c59326(1095633857......)
n=122716: c55752(3810363692......) = 687928473025928926808941 * c55728(5538895163......)
# P-1 B1=1e6
# 199736 of 300000 Φn(10) factorizations were cracked. 300000 個中 199736 個の Φn(10) の素因数が見つかりました。
n=122512: c51830(4290772702......) = 2728361027534221249 * c51812(1572655766......)
n=122536: c56558(5867911222......) = 40446784134805273 * c56542(1450773244......)
n=122554: c59128(1073769017......) = 6474831411136463 * c59112(1658373708......)
n=122636: c55435(2691151915......) = 5097751986535529 * c55419(5279095417......)
# P-1 B1=1e6
# via yoyo@home
n=6100L: x1110(1354322894......) = 17729642323320850278883616474935850401 * c1072(7638749105......)
# ECM B1=11000000, sigma=0:12691948414942556416
# via yoyo@home
n=6100L: c1144(9357261678......) = 69091807550221647412700483018565101 * x1110(1354322894......)
# ECM B1=11000000, sigma=0:373158171685814716
n=122342: c54120(9090909091......) = 6177758042749613 * c54105(1471554733......)
n=122344: c59508(2474650089......) = 417459164136929 * 164450778832357982222262617 * c59467(3604656332......)
n=122356: c56161(1000000000......) = 15181175795758533890941 * c56138(6587105066......)
n=122374: c52441(1099999890......) = 3507555921469831754573 * c52419(3136086536......)
n=122386: c55621(1099999999......) = 392610543722717 * c55606(2801758683......)
n=122398: c57961(1099999999......) = 28189178802613637 * c57944(3902206615......)
n=122402: c52411(1633957722......) = 45807515241614729 * c52394(3567007977......)
n=122408: c50850(9947874973......) = 515246184426689 * c50836(1930703278......)
n=122426: c59681(1099999999......) = 6207375987292693 * c59665(1772085342......)
n=122434: c52992(9090909090......) = 631918685618611 * c52978(1438620078......)
# P-1 B1=1e6
# 199735 of 300000 Φn(10) factorizations were cracked. 300000 個中 199735 個の Φn(10) の素因数が見つかりました。
n=122192: c52309(2034303409......) = 953098292586448082934721 * c52285(2134410925......)
n=122218: c59889(2002279836......) = 628443934257521 * c59874(3186091435......)
n=122222: c58425(3296709191......) = 17170242659099 * c58412(1920013163......)
n=122234: c52381(1099999890......) = 24308753372123042887 * c52361(4525118475......)
n=122246: c57878(2739176452......) = 13260841207115809 * c57862(2065612889......)
n=122264: c53760(9999000099......) = 3861553120010740484233 * c53739(2589372666......)
n=122265: c51841(1001000999......) = 1060460086836151 * c51825(9439308583......)
n=122318: c52406(4547406905......) = 3117255220681939 * c52391(1458785560......)
n=122325: c55674(2151279023......) = 320920444526171875351 * c55653(6703465173......)
# P-1 B1=1e6
# 199728 of 300000 Φn(10) factorizations were cracked. 300000 個中 199728 個の Φn(10) の素因数が見つかりました。
n=122096: c56246(1621782352......) = 265901154055656289 * c56228(6099192606......)
n=122098: c59515(9009082793......) = 22003221972961 * c59502(4094437989......)
n=122108: c51712(3881639351......) = 967809141047129501 * c51694(4010748800......)
n=122128: c57332(4917944709......) = 28715335863377 * c57319(1712654427......)
n=122132: c57800(2120151357......) = 27112768227879347141 * c57780(7819752449......)
n=122162: c57459(3078901975......) = 173354995299583597 * c57442(1776067640......)
n=122174: c54432(9090909090......) = 2003478523069739 * c54417(4537562537......)
# P-1 B1=1e6
# 199725 of 300000 Φn(10) factorizations were cracked. 300000 個中 199725 個の Φn(10) の素因数が見つかりました。
# For 200001<=n<=300000
# 8262 prime factors were added.
# Small prime factors up to 13 digit were searched.
# 199724 of 300000 Φn(10) factorizations were cracked. 300000 個中 199724 個の Φn(10) の素因数が見つかりました。
n=200003: x200003(1111111111......) = 402617632520700203 * x199985(2759717959......)
# ECM B1=11000, sigma=4527679906989676
n=200381: x200381(1111111111......) = 14673605193564898787 * x200361(7572175320......)
# ECM B1=11000, sigma=2091869554202189
n=200587: x200587(1111111111......) = 103117039411450372316483 * x200564(1077524255......)
# ECM B1=11000, sigma=7457913356752279
n=200609: x200609(1111111111......) = 630186750984486757 * x200591(1763145780......)
# ECM B1=11000, sigma=1498195874670333
n=200869: x200869(1111111111......) = 2107006850352484231 * x200850(5273410055......)
# ECM B1=11000, sigma=7712504654752964
n=200927: x200927(1111111111......) = 68323404994565627 * x200910(1626252542......)
# ECM B1=11000, sigma=3480235554064475
n=201437: x201437(1111111111......) = 5502458959874786438077 * x201415(2019299224......)
# ECM B1=11000, sigma=651626598746362
n=201769: x201769(1111111111......) = 3904777029559829363 * x201750(2845517433......)
# ECM B1=11000, sigma=1999845849913709
n=201781: x201781(1111111111......) = 132896006500581227 * x201763(8360756206......)
# ECM B1=11000, sigma=4287926566896787
n=201809: x201809(1111111111......) = 94606227983923147 * x201792(1174458737......)
# ECM B1=11000, sigma=6775591948639188
n=202121: x202121(1111111111......) = 343543816185337723 * x202103(3234263167......)
# ECM B1=11000, sigma=1189646205293684
n=202127: x202127(1111111111......) = 540520707014640557 * x202109(2055630980......)
# ECM B1=11000, sigma=3126867214503641
n=202441: x202441(1111111111......) = 911729543358049894399 * x202420(1218684991......)
# ECM B1=11000, sigma=641300883932260
n=202679: x202679(1111111111......) = 260469904976013437 * x202661(4265794588......)
# ECM B1=11000, sigma=8202508447512927
n=202733: x202733(1111111111......) = 37424896142437799 * x202716(2968909003......)
# ECM B1=11000, sigma=688007263553120
n=202823: x202823(1111111111......) = 38074045769796521 * x202806(2918290107......)
# ECM B1=11000, sigma=1171771534470371
n=203293: x203293(1111111111......) = 648339041257964159 * x203275(1713780970......)
# ECM B1=11000, sigma=1178443079097931
n=203387: x203387(1111111111......) = 784622957248017683 * x203369(1416108336......)
# ECM B1=11000, sigma=4899195301322121
n=203869: x203869(1111111111......) = 624774572092625736637 * x203848(1778419226......)
# ECM B1=11000, sigma=5470603376641032
n=203977: x203977(1111111111......) = 5289190017304489717 * x203958(2100720729......)
# ECM B1=11000, sigma=4640282933692644
n=203999: x203999(1111111111......) = 54477321665215180733 * x203979(2039584687......)
# ECM B1=11000, sigma=3124955273858046
n=204007: x204007(1111111111......) = 96742746750255083 * x203990(1148521360......)
# ECM B1=11000, sigma=7038193886919728
n=205763: x205763(1111111111......) = 1571414247535838110729 * x205741(7070771522......)
# ECM B1=11000, sigma=5744781047327918
n=211933: x211933(1111111111......) = 832389963021018947 * x211915(1334844436......)
# ECM B1=11000, sigma=2930446352830236
n=217319: x217319(1111111111......) = 327136068049348903751880841 * x217292(3396479996......)
# ECM B1=11000, sigma=2895715347565685
n=299011: x299011(1111111111......) = 221045463366486747587120747 * x298984(5026618027......)
# ECM B1=50000, sigma=4015201733820886
n=299447: x299447(1111111111......) = 5104005647061508609 * x299428(2176939423......)
# ECM B1=11000, sigma=3726719826957846
n=299807: x299807(1111111111......) = 1096020580210100960507 * x299786(1013768474......)
# ECM B1=11000, sigma=3958798504742561
n=299843: x299843(1111111111......) = 388263295986932803 * x299825(2861746455......)
# ECM B1=11000, sigma=2597017414888041
n=299941: x299941(1111111111......) = 476143900733778479 * x299923(2333561575......)
# ECM B1=11000, sigma=848901146059321
# 196255 of 300000 Φn(10) factorizations were cracked. 300000 個中 196255 個の Φn(10) の素因数が見つかりました。
# 18452 of 25997 Rprime factorizations were cracked. 25997 個中 18452 個の Rprime の素因数が見つかりました。
# Phin10.txt has been expanded up to n=300000.
# Small prime factors up to 10^12 were searched.
# Primality of small cofactors up to 50000 digit were checked.
n=216980L: x41029(1115455115......) is (probable) prime
$ ./pfgw64 -tc -q"3541*((10^10849+1)*((10^21698+10^10849)*(10^10849-10^5425+3)-10^5425+2)-1)/317448900341/((10^19+1)*((10^38+10^19)*(10^19+10^10+3)+10^10+2)-1)/((10^571+1)*((10^1142+10^571)*(10^571+10^286+3)+10^286+2)-1)" PFGW Version 3.8.3.64BIT.20161203.Win_Dev [GWNUM 28.6] Primality testing 3541*((10^10849+1)*((10^21698+10^10849)*(10^10849-10^5425+3)-10^5425+2)-1)/317448900341/((10^19+1)*((10^38+10^19)*(10^19+10^10+3)+10^10+2)-1)/((10^571+1)*((10^1142+10^571)*(10^571+10^286+3)+10^286+2)-1) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Running N+1 test using discriminant 17, base 10+sqrt(17) Calling N-1 BLS with factored part 0.04% and helper 0.00% (0.11% proof) 3541*((10^10849+1)*((10^21698+10^10849)*(10^10849-10^5425+3)-10^5425+2)-1)/317448900341/((10^19+1)*((10^38+10^19)*(10^19+10^10+3)+10^10+2)-1)/((10^571+1)*((10^1142+10^571)*(10^571+10^286+3)+10^286+2)-1) is Fermat and Lucas PRP! (185.1254s+0.0834s)
n=288860M: x47994(4126997721......) is (probable) prime
$ ./pfgw64 -tc -q"((10^11+1)*((10^22+10^11)*(10^11-10^6+3)-10^6+2)-1)*((10^13+1)*((10^26+10^13)*(10^13+10^7+3)+10^7+2)-1)*((10^101+1)*((10^202+10^101)*(10^101-10^51+3)-10^51+2)-1)*((10^14443+1)*((10^28886+10^14443)*(10^14443+10^7222+3)+10^7222+2)-1)/27961/((10^143+1)*((10^286+10^143)*(10^143-10^72+3)-10^72+2)-1)/((10^1111+1)*((10^2222+10^1111)*(10^1111+10^556+3)+10^556+2)-1)/((10^1313+1)*((10^2626+10^1313)*(10^1313-10^657+3)-10^657+2)-1)/866581" PFGW Version 3.8.3.64BIT.20161203.Win_Dev [GWNUM 28.6] Primality testing ((10^11+1)*((10^22+10^11)*(10^11-10^6+3)-10^6+2)-1)*((10^13+1)*((10^26+10^13)*(10^13+10^7+3)+10^7+2)-1)*((10^101+1)*((10^202+10^101)*(10^101-10^51+3)-10^51+2)-1)*((10^14443+1)*((10^28886+10^14443)*(10^14443+10^7222+3)+10^7222+2)-1)/27961/((10^143+1)*((10^286+10^143)*(10^143-10^72+3)-10^72+2)-1)/((10^1111+1)*((10^2222+10^1111)*(10^1111+10^556+3)+10^556+2)-1)/((10^1313+1)*((10^2626+10^1313)*(10^1313-10^657+3)-10^657+2)-1)/866581 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 29, base 10+sqrt(29) Calling N-1 BLS with factored part 0.05% and helper 0.01% (0.15% proof) ((10^11+1)*((10^22+10^11)*(10^11-10^6+3)-10^6+2)-1)*((10^13+1)*((10^26+10^13)*(10^13+10^7+3)+10^7+2)-1)*((10^101+1)*((10^202+10^101)*(10^101-10^51+3)-10^51+2)-1)*((10^14443+1)*((10^28886+10^14443)*(10^14443+10^7222+3)+10^7222+2)-1)/27961/((10^143+1)*((10^286+10^143)*(10^143-10^72+3)-10^72+2)-1)/((10^1111+1)*((10^2222+10^1111)*(10^1111+10^556+3)+10^556+2)-1)/((10^1313+1)*((10^2626+10^1313)*(10^1313-10^657+3)-10^657+2)-1)/866581 is Fermat and Lucas PRP! (236.0476s+0.0178s)
# 1148 of 300000 Φn(10) factorizations were finished. 300000 個中 1148 個の Φn(10) の素因数分解が終わりました。
# 196225 of 300000 Φn(10) factorizations were cracked. 300000 個中 196225 個の Φn(10) の素因数が見つかりました。
# 122 of 25997 Rprime factorizations were finished. 25997 個中 122 個の Rprime の素因数分解が終わりました。
# 18422 of 25997 Rprime factorizations were cracked. 25997 個中 18422 個の Rprime の素因数が見つかりました。
# 333578 (probable) prime factors were discovered.
# 207638 composite factors are remaining.
# 98589 factors are unidentified.
n=121935: c59034(1539258888......) = 579939301640288041 * c59016(2654172399......)
n=121942: c57745(1099999999......) = 61530800724647 * c57731(1787722550......)
n=122012: c53352(2967008210......) = 33321706033421809910325214709 * c53323(8904130562......)
n=122018: c53342(1110238227......) = 27772164483053927 * c53325(3997665461......)
n=122032: c58683(8194504847......) = 34060868704307329 * c58667(2405841412......)
n=122044: c56295(2368886172......) = 13759743381281 * c56282(1721606360......)
n=122056: c51840(9999000099......) = 1225895669571426511417 * c51819(8156485374......)
# P-1 B1=1e6
# 141057 of 200000 Φn(10) factorizations were cracked. 200000 個中 141057 個の Φn(10) の素因数が見つかりました。
n=121862: c54414(2131061194......) = 13430246386753379 * c54398(1586762545......)
n=121898: c52217(4829273844......) = 93735797905197407 * c52200(5152005906......)
n=121905: c54432(9999999999......) = 1238842351220671 * c54417(8072052097......)
n=121912: c52059(1219851298......) = 7763743790733223204129 * c52037(1571215294......)
# P-1 B1=1e6
# 141055 of 200000 Φn(10) factorizations were cracked. 200000 個中 141055 個の Φn(10) の素因数が見つかりました。
n=121702: c52153(1099999890......) = 57735941904516247 * c52136(1905225503......)
n=121726: c55221(1000000000......) = 9629523225177723981521 * c55199(1038473013......)
n=121737: c57601(1109999888......) = 705510577383613 * c57586(1573328486......)
n=121744: c52112(1860368902......) = 49891676634010204886931361 * c52086(3728816163......)
n=121748: c55314(2304395074......) = 69928862091493681 * c55297(3295341874......)
n=121754: c57281(1099999999......) = 26628318978597019 * c57264(4130940450......)
n=121756: c59761(1009999999......) = 369732040676701 * c59746(2731708072......)
n=121784: c56161(1000099999......) = 16021477270571492718233 * c56138(6242245849......)
# P-1 B1=1e6
# 141054 of 200000 Φn(10) factorizations were cracked. 200000 個中 141054 個の Φn(10) の素因数が見つかりました。
n=121628: c56106(5536002929......) = 4818261063538537912181 * c56085(1148962842......)
n=121634: c59754(4521760148......) = 808136864882219 * c59739(5595290036......)
n=121652: c57217(1009999999......) = 67115515499987761 * c57200(1504868125......)
n=121682: c55288(2913392798......) = 13775866445943317 * c55272(2114852673......)
# P-1 B1=1e6
# 141048 of 200000 Φn(10) factorizations were cracked. 200000 個中 141048 個の Φn(10) の素因数が見つかりました。
n=121485: c50666(3299965205......) = 2113080372825241 * c50651(1561684660......)
n=121508: c59041(1009999999......) = 504055563052529 * c59026(2003747352......)
n=121552: c59355(8226864083......) = 355626276448574993 * c59338(2313345393......)
n=121568: c58221(1015399560......) = 97472713212618728449 * c58201(1041726989......)
n=121582: c56153(1755207331......) = 53815536137819971 * c56136(3261525308......)
# P-1 B1=1e6
# 141047 of 200000 Φn(10) factorizations were cracked. 200000 個中 141047 個の Φn(10) の素因数が見つかりました。
n=121324: c51890(1990540114......) = 3145697642939209 * 581630792235480961 * c51857(1087944063......)
n=121334: c55072(3947558636......) = 12038368951111583 * c55056(3279147410......)
n=121336: c58465(1000099999......) = 2048615318200533281 * c58446(4881834042......)
n=121342: c55843(8241101670......) = 92180213677183321 * c55826(8940206733......)
n=121348: c57987(8323101138......) = 42230559893122643501 * c57968(1970871605......)
n=121354: c59334(1678590508......) = 14388455815567 * c59321(1166623111......)
n=121372: c57457(1009999999......) = 24247694005132582163701 * c57434(4165344546......)
n=121396: c52800(9900990099......) = 710577875080481 * c52786(1393371570......)
n=121412: c59964(1549403658......) = 4702844615735926863649 * c59942(3294609507......)
n=121432: c59127(4754306471......) = 2833344036664873 * c59112(1677984180......)
n=121448: c52992(9999000099......) = 101078302123599193 * c52975(9892330885......)
# P-1 B1=1e6
# 141046 of 200000 Φn(10) factorizations were cracked. 200000 個中 141046 個の Φn(10) の素因数が見つかりました。
n=121196: c59041(1009999999......) = 463741518416261 * 27712698804783829 * c59009(7858987037......)
n=121208: c59609(4436078049......) = 44512991440165601 * c59592(9965805275......)
# P-1 B1=1e6
# 141042 of 200000 Φn(10) factorizations were cracked. 200000 個中 141042 個の Φn(10) の素因数が見つかりました。
n=121132: c55032(1108041384......) = 296263916777100889 * c55014(3740048387......)
n=121154: c55037(2723244978......) = 83261629371549488201 * c55017(3270708247......)
n=121166: c59230(2215542200......) = 225294044339996161571 * c59209(9834002522......)
# P-1 B1=1e6
n=120998: c59801(1099999999......) = 63275020330609 * c59787(1738442744......)
n=121016: c51826(1050940435......) = 1416669912892376938462305409 * c51798(7418386074......)
n=121024: c57601(1000000000......) = 1072399018464833 * c57585(9324887311......)
n=121028: c59564(5117592521......) = 32759543883089 * c59551(1562168429......)
n=121034: c59608(1276813055......) = 13314473829143 * c59594(9589662135......)
n=121058: c51877(1099999890......) = 28697761780959076862477 * 562356132875827131934289 * c51830(6816056468......)
n=121065: c55296(9009100000......) = 6517994928913130671 * c55278(1382188863......)
n=121088: c53761(1000000000......) = 10252941014273 * c53747(9753299064......)
n=121095: c57010(4063045221......) = 46018932654241 * c56996(8829073138......)
# P-1 B1=1e6
# 141041 of 200000 Φn(10) factorizations were cracked. 200000 個中 141041 個の Φn(10) の素因数が見つかりました。
n=120884: c59054(1327916416......) = 2491199201129888441 * c59035(5330430485......)
n=120945: c58555(1241485342......) = 48568544782538551 * c58538(2556150998......)
n=120952: c55777(1000099999......) = 46680134882347201 * c55760(2142453106......)
n=120958: c59977(1099999999......) = 121999396422589801729 * c59956(9016438050......)
# P-1 B1=1e6
# 141036 of 200000 Φn(10) factorizations were cracked. 200000 個中 141036 個の Φn(10) の素因数が見つかりました。
n=120772: c59617(1009999999......) = 194090829161381 * c59602(5203749215......)
n=120824: c54881(1000099999......) = 80593319271824142961 * c54861(1240921715......)
n=120836: c56833(1009999999......) = 6004988181915986439481 * c56811(1681935033......)
n=120838: c58441(1099999999......) = 29764275078136343957 * c58421(3695705664......)
n=120862: c50676(3914056269......) = 468186135131702303 * c50658(8360043101......)
n=120868: c52784(4594226489......) = 127729877726089 * c52770(3596829943......)
n=120872: c58232(2110186672......) = 47795108301044561 * c58215(4415068294......)
# P-1 B1=1e6
# 141034 of 200000 Φn(10) factorizations were cracked. 200000 個中 141034 個の Φn(10) の素因数が見つかりました。
n=120646: c59784(4992341651......) = 226238614322491 * c59770(2206670893......)
n=120694: c50104(4149970849......) = 552673354490041 * 671913456824023 * c50075(1117540266......)
n=120698: c58221(2599907868......) = 97601621057333 * c58207(2663795785......)
n=120704: c56307(1733249879......) = 1256944032303888641 * c56289(1378939582......)
n=120705: c59328(9009099100......) = 280321186822951 * c59314(3213848800......)
n=120718: c55676(7875706962......) = 1096368946601891 * c55661(7183445852......)
# P-1 B1=1e6
# 141030 of 200000 Φn(10) factorizations were cracked. 200000 個中 141030 個の Φn(10) の素因数が見つかりました。
n=120562: c55633(1099999999......) = 3729789604267927951973 * c55611(2949228017......)
n=120568: c51639(8381230790......) = 24840842906377 * c51626(3373971979......)
n=120604: c54801(1009999999......) = 5577717101376289 * c54785(1810776670......)
n=120614: c55644(3658072906......) = 477839272984276321 * c55626(7655446325......)
n=120615: c53749(3920769298......) = 4134954084554157081031 * c53727(9482014111......)
n=120622: c58795(9119322185......) = 150895892905441 * c58781(6043452880......)
n=120626: c54806(2720723899......) = 469903500365451637 * 96374324935373773927 * c54768(6007785833......)
n=120632: c56705(1000099999......) = 18868950504243192641 * c56685(5300241790......)
n=120638: c51661(1000000099......) = 3346684821299009 * c51645(2988031898......)
# P-1 B1=1e6
# 141029 of 200000 Φn(10) factorizations were cracked. 200000 個中 141029 個の Φn(10) の素因数が見つかりました。
n=120422: c57025(1099999999......) = 38751691701889 * 148506261888251 * c56997(1911424957......)
n=120454: c59728(9592559606......) = 985717943628637 * c59713(9731546096......)
n=120472: c53260(1019910416......) = 19703170114268873 * 70559970408711169 * c53226(7336138643......)
n=120496: c56577(1000000009......) = 14627018108120753 * 254367057298946881 * c56543(2687715770......)
# P-1 B1=1e6
# 141025 of 200000 Φn(10) factorizations were cracked. 200000 個中 141025 個の Φn(10) の素因数が見つかりました。