Changes of Phin10.txt <July 2016>

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July 31, 2016 2016 年 7 月 31 日 (Alfred Reich)

n=56434: c23184(9090910000......) = 2269719767057219 * c23169(4005300624......)

n=59768: c28801(1000099999......) = 194310666933667673 * c28783(5146912497......)

n=62414: c28361(1099999999......) = 1437921472401613 * c28345(7649930967......)

n=62604: c19872(9999990000......) = 3398318829009109 * c19857(2942628547......)

n=64812: c19600(9901000000......) = 3246401471446849 * c19585(3049838440......)

n=83018: c36720(9090909090......) = 144213126497779 * c36706(6303801402......)

n=130784: c63361(1000000000......) = 1310251734122561 * c63345(7632121171......)

n=131000: c52001(1000000000......) = 17299203952001 * c51987(5780612811......)

n=131066: c59641(1000000000......) = 1026068354873693 * c59625(9745939393......)

n=131882: c60720(9090909090......) = 1284628478943449 * c60705(7076683445......)

n=132028: c60913(1009999999......) = 21534156282601 * c60899(4690223228......)

n=132070: c51520(9091000000......) = 1895926848940801 * c51505(4795016223......)

n=132376: c66184(9999000099......) = 104796847832857 * c66170(9541317612......)

n=132466: c65509(1099999999......) = 31851938102143 * c65495(3453479020......)

n=132670: c53065(1099989000......) = 4937238755396891 * c53049(2227943704......)

n=132808: c61249(1000099999......) = 2282824493265577 * c61233(4380976299......)

n=132994: c64177(1099999999......) = 106782999066517 * c64163(1030126527......)

n=161822: c80910(9090909090......) = 33693236630197 * c80897(2698140635......)

n=162070: c61344(9091000000......) = 7295982616673521 * c61329(1246028188......)

n=162272: c73601(1000000000......) = 366393210949217 * c73586(2729308213......)

n=162312: c54097(1000099999......) = 297560433587906641 * c54079(3360997925......)

n=162496: c81216(9999999999......) = 16058647695767617 * c81200(6227174410......)

n=162986: c80909(1099999999......) = 18202402142207 * c80895(6043158432......)

n=163166: c76769(1099999999......) = 1217868603921889 * c76753(9032173064......)

n=163216: c80800(9999999999......) = 298246592208633121 * c80783(3352930179......)

n=164328: c53120(9999000100......) = 141970231699969 * c53106(7043025837......)

n=164390: c61824(9091000000......) = 159851288761321 * c61810(5687160904......)

n=175072: c87520(9999999999......) = 64754526655681 * c87507(1544293583......)

n=175184: c87584(9999999900......) = 142477362501137 * c87570(7018658771......)

n=175356: c58441(1000000999......) = 39086145715321 * c58427(2558453850......)

n=175972: c80640(9900990099......) = 3948845191227821 * c80625(2507312801......)

n=175990: c70393(1099989000......) = 26827189113281 * c70379(4100276758......)

n=176332: c81361(1009999999......) = 14786257262141 * c81347(6830667031......)

n=176526: c50328(9999999990......) = 1721037547273339 * c50313(5810448473......)

n=176750: c60000(9999999999......) = 237614567202251 * c59986(4208496186......)

n=176756: c88376(9900990099......) = 60287962639889 * c88363(1642283080......)

n=176856: c58945(1000099999......) = 1070092750089361 * c58929(9345918845......)

n=177264: c59041(1000000000......) = 582111923171329 * c59026(1717882696......)

n=177272: c88632(9999000099......) = 13980014536769 * c88619(7152353149......)

n=177318: c59101(1000999998......) = 81149591743219 * c59087(1233524380......)

n=177400: c70881(1000000000......) = 49214151888001 * c70867(2031935859......)

n=177428: c88712(9900990099......) = 102339440607889 * c88698(9674657238......)

n=177528: c54528(9999000100......) = 35458288255417 * c54515(2819933107......)

n=177634: c88816(9090909090......) = 39999442400419 * c88803(2272758954......)

n=177748: c86401(1009999999......) = 11667077614889 * c86387(8656837927......)

n=177976: c88984(9999000099......) = 17936614917889 * c88971(5574630522......)

n=178226: c89112(9090909090......) = 168730710786773 * c89098(5387821249......)

n=190654: c95326(9090909090......) = 35909347861398413 * c95310(2531627454......)

n=190722: c51409(1098900989......) = 42845873527129 * c51395(2564776718......)

n=190936: c92065(1000099999......) = 42280126011061273 * c92048(2365413952......)

n=190942: c95470(9090909090......) = 24009532072681 * c95457(3786374954......)

n=191158: c86881(1099999999......) = 534420033696209 * c86866(2058306071......)

n=191226: c52417(1098900989......) = 60450357956899 * c52403(1817856876......)

n=191378: c86981(1099999999......) = 39133453224647 * c86967(2810894284......)

n=191630: c76649(1099989000......) = 119671806490931 * c76634(9191713841......)

n=191692: c90177(1009999999......) = 13522908170366153969 * c90157(7468807650......)

n=191834: c95916(9090909090......) = 26052372989407 * c95903(3489474488......)

n=192204: c60480(9999990000......) = 12102824866969 * c60467(8262525575......)

n=192274: c96136(9090909090......) = 24313937913169 * c96123(3738970266......)

n=192544: c87361(1000000000......) = 12606103869217 * c87347(7932665083......)

# ECM

# 138806 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138806 個の Φ_n(10) の素因数が見つかりました。

July 29, 2016 2016 年 7 月 29 日 (Alfred Reich)

n=26656: c10753(1000000000......) = 105608248547086433 * c10735(9468957337......)

n=34310: c13248(9091000000......) = 196539619709273441 * c13231(4625530472......)

n=34622: c14833(1099999890......) = 11309272250513280583 * c14813(9726531165......)

n=36442: c14688(9090910000......) = 770037953003089 * c14674(1180579472......)

n=50920: c19008(9999000099......) = 294987619515761 * c18994(3389633814......)

n=51370: c18640(9091000000......) = 10779855135244801 * c18624(8433322977......)

n=51600: c13440(9999999999......) = 3422882855997758401 * c13422(2921513946......)

n=52268: c25633(1009999999......) = 86314510654039956329 * c25613(1170139287......)

n=53444: c25801(1009999999......) = 1299052690387409 * c25785(7774896333......)

n=54004: c25785(1009999999......) = 705826106860544281 * c25767(1430947354......)

n=192648: c61248(9999000100......) = 1054864123367979889 * c61230(9478946035......)

# ECM

# 138746 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138746 個の Φ_n(10) の素因数が見つかりました。

July 28, 2016 2016 年 7 月 28 日 (Alfred Reich)

n=195082: c96493(1099999999......) = 760979264989295917 * c96475(1445505877......)

n=195214: c97606(9090909090......) = 14351245837157 * c97593(6334578331......)

n=195982: c90720(9090909090......) = 131557149680530663 * c90703(6910235675......)

# ECM

# 138735 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138735 個の Φ_n(10) の素因数が見つかりました。

July 31, 2016 2016 年 7 月 31 日 (anonymous)

# from http://factordb.com/

n=191254: c77544(9090910000......) = 76383328143893 * c77531(1190169402......)

# 138732 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138732 個の Φ_n(10) の素因数が見つかりました。

July 29, 2016 2016 年 7 月 29 日 (Maksym Voznyy)

n=16987: c16987(1111111111......) = 2913136385461598930507 * c16965(3814140376......)

n=18047: c18047(1111111111......) = 193194800196863079929602627 * c18020(5751247497......)

n=18457: c18457(1111111111......) = 1080032205587318878646677 * c18433(1028775906......)

n=35003: c31361(1111111111......) = 22108875030922012237 * x31341(5025633866......)

n=35003: x31341(5025633866......) = 78615305047187 * c31327(6392691427......)

n=35069: c35069(1111111111......) = 3248084304105170199671 * c35047(3420819803......)

# prime95, ECM, 80 ECM curves, B1=11000, B2=1100000

# 138731 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138731 個の Φ_n(10) の素因数が見つかりました。

# 13746 of 17984 R_prime factorizations were cracked. 17984 個中 13746 個の R_prime の素因数が見つかりました。

July 29, 2016 2016 年 7 月 29 日 (Maksym Voznyy)

n=13681: c13681(1111111111......) = 54021191072862975331957 * c13658(2056806021......)

n=15263: c15263(1111111111......) = 1145616194480336587831 * c15241(9698807650......)

n=33511: c30361(1111111111......) = 132636572521088563 * c30343(8377109646......)

n=33611: c30241(1111111111......) = 9201973034546093 * c30225(1207470514......)

n=34561: c30529(1111111111......) = 1732200910604776289 * c30510(6414447102......)

n=34661: c29921(1111111111......) = 78955696779653 * c29907(1407258952......)

n=53363: c48385(1111111111......) = 26257409801747077 * c48368(4231609741......)

n=53503: c53503(1111111111......) = 35287999373412664027 * c53483(3148693977......)

n=53551: c53551(1111111111......) = 3344286409958429813639 * c53529(3322416129......)

n=53569: c53569(1111111111......) = 25766543161930268413 * c53549(4312224205......)

n=53653: c53653(1111111111......) = 132536053384316399 * c53635(8383463085......)

# prime95, ECM, 80 curves, B1=11000, B2=1100000

# 138726 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138726 個の Φ_n(10) の素因数が見つかりました。

# 13742 of 17984 R_prime factorizations were cracked. 17984 個中 13742 個の R_prime の素因数が見つかりました。

July 28, 2016 2016 年 7 月 28 日 (Maksym Voznyy)

n=93889: c93880(1204877368......) = 237120520518834432013363 * c93856(5081286787......)

n=94693: c94672(1871048015......) = 53935197492491529667 * c94652(3469066773......)

n=94727: c94717(1788214415......) = 1434907943303915107 * c94699(1246222396......)

n=95737: c95727(4865376588......) = 994715881567963319 * c95709(4891222387......)

n=95869: c95829(1323367013......) = 221632520703080814893 * c95808(5970996535......)

n=95881: c95874(2414257581......) = 2564111308616532878759 * c95852(9415572457......)

n=99109: c99084(4324676776......) = 81216780576777168067 * c99064(5324856200......)

# prime95, ECM, 80 curves, B1=11000, B2=1100000

July 27, 2016 2016 年 7 月 27 日 (Alfred Reich)

n=193470: c51584(9100090999......) = 30810443230891 * c51571(2953573543......)

n=193492: c87841(1000000000......) = 32786856409009 * c87827(3050002682......)

n=194032: c95041(1000000009......) = 3488375242707857 * c95025(2866664106......)

n=194830: c77929(1099989000......) = 31144767664771 * c77915(3531858101......)

n=194956: c88320(9900990099......) = 62121202109432189 * c88304(1593818175......)

# ECM

# 138715 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138715 個の Φ_n(10) の素因数が見つかりました。

July 23, 2016 2016 年 7 月 23 日 (Alfred Reich)

n=164524: c82260(9900990099......) = 45656710968100709 * c82244(2168572787......)

n=196126: c84049(1099999890......) = 200473635421124423 * c84031(5487005249......)

n=196204: c97201(1009999999......) = 31135811318449 * c97187(3243853162......)

n=196476: c56112(9901000000......) = 20738342015329 * c56099(4774248583......)

n=196494: c65497(1098901098......) = 69642273031382503 * c65480(1577922504......)

n=196576: c98272(9999999999......) = 17731722911489 * c98259(5639609895......)

n=197394: c65072(9100000000......) = 151743794829007 * c65058(5996950326......)

n=197874: c65953(1000999998......) = 130320821599921 * c65938(7681044262......)

n=197916: c65969(1009998990......) = 10043693226383749 * c65953(1005605176......)

n=198022: c90001(1099999999......) = 1381318413652321 * c89985(7963406475......)

n=199010: c68208(9091000909......) = 6127564206641851 * c68193(1483623933......)

n=199314: c66421(1000000000......) = 999161196007609 * c66406(1000839509......)

n=199454: c96481(1099999999......) = 970245900750211 * c96466(1133733210......)

n=199526: c98209(1099999999......) = 263834905818401 * c98194(4169273950......)

# ECM

# 138710 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138710 個の Φ_n(10) の素因数が見つかりました。

July 26, 2016 2016 年 7 月 26 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=51517: c51517(1111111111......) = 43016504259697737763 * c51497(2582987925......)

# ECM B1=11e3

# 138696 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138696 個の Φ_n(10) の素因数が見つかりました。

# 13736 of 17984 R_prime factorizations were cracked. 17984 個中 13736 個の R_prime の素因数が見つかりました。

July 25, 2016 2016 年 7 月 25 日 (Maksym Voznyy)

n=91121: c91084(1940198866......) = 913184151802486721 * c91066(2124652363......)

n=91193: c91176(3116780195......) = 17519824844868498984319 * c91154(1779001915......)

n=92107: c92098(3421232146......) = 2699191671370248805377761 * c92074(1267502483......)

n=92111: c92077(1952370356......) = 3049641397220836813 * c92058(6401966994......)

n=92119: c92099(1319753691......) = 71161522186416467347 * c92079(1854588900......)

n=92369: c92355(1397422930......) = 1461285238844911751 * c92336(9562971642......)

n=92381: c92364(6416296621......) = 206313507000352481641 * c92344(3109974094......)

n=92383: c92368(4612694952......) = 8957966990505034081 * c92349(5149265405......)

n=96487: c96481(1919272703......) = 1172984553181370181751 * c96460(1636230159......)

n=96581: c96575(5752194318......) = 2022290685350351189231 * c96554(2844395397......)

n=97127: c97116(7238531935......) = 767918550091816681 * c97098(9426171479......)

n=99289: c99268(4003945013......) = 171542355802495101311 * c99248(2334085360......)

n=99397: c99380(6470628213......) = 4500410863525112677 * c99362(1437786106......)

n=99571: c99552(1792943569......) = 33479305336428005267 * c99532(5355378646......)

n=99581: c99566(3502304324......) = 633971922829538523917 * c99545(5524383965......)

# prime95, ECM, 80 curves, B1=11000, B2=1100000

July 25, 2016 2016 年 7 月 25 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=51061: c51061(1111111111......) = 229487628774536927117 * c51040(4841703742......)

# ECM B1=11e3

n=51071: c51071(1111111111......) = 10731584737317918345437 * c51049(1035365361......)

# ECM B1=11e3

n=51341: c51341(1111111111......) = 275686936071137547291518399 * c51314(4030336464......)

# ECM B1=11e3

# 138695 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138695 個の Φ_n(10) の素因数が見つかりました。

# 13735 of 17984 R_prime factorizations were cracked. 17984 個中 13735 個の R_prime の素因数が見つかりました。

July 22, 2016 2016 年 7 月 22 日 (Maksym Voznyy)

n=91199: c91177(5618560410......) = 713797077526292839 * c91159(7871369311......)

n=91297: c91283(1889233979......) = 694237388519622517 * c91265(2721308317......)

n=91381: c91339(2135632148......) = 557666176049433841277 * c91318(3829588812......)

n=91513: c91495(7666845398......) = 13311534163428960197 * c91476(5759550555......)

n=91573: c91559(1600261958......) = 154166129800899464827 * c91539(1038011371......)

n=91639: c91628(6759547998......) = 776822462591672677889 * c91607(8701535195......)

n=91703: c91668(1522307831......) = 3120031897343089559 * c91649(4879141885......)

n=92401: c92371(1010562871......) = 16275554584561051751 * c92351(6209084100......)

n=92419: c92394(1019866093......) = 3374599224044188333 * c92375(3022184342......)

n=92567: c92557(3882307300......) = 13589540103506208893 * c92538(2856834941......)

n=92641: c92633(9086158104......) = 8526854378376097717 * c92615(1065593207......)

n=97579: c97564(3843675800......) = 15773643375470785307 * c97545(2436771080......)

# prime95, ECM, 80 curves, B1=11000, B2=1100000

July 19, 2016 2016 年 7 月 19 日 (Maksym Voznyy)

n=84919: c84912(1453818038......) = 2373651824630095951 * c84893(6124815876......)

n=84961: c84950(8279454955......) = 257897007277747 * c84936(3210372638......)

n=84977: c84955(6516024259......) = 14012345463175289 * c84939(4650202406......)

n=84991: c84982(9016054860......) = 2693042629553978197 * c84964(3347906476......)

n=88177: c88168(6351268914......) = 58229328493229321 * c88152(1090733669......)

n=89003: c88979(1497074947......) = 3647381458378882559 * c88960(4104519815......)

n=89009: c88981(8476962510......) = 45414156402765621329 * c88962(1866590328......)

n=89051: c89026(9527245423......) = 14142346299788921 * c89010(6736679488......)

n=89203: c89173(4977743911......) = 11370487680296826043875707 * c89148(4377775211......)

n=89231: c89218(1761975805......) = 16488938203566791923 * c89199(1068580513......)

n=90053: c90035(7245148771......) = 741625039762244206747 * c90014(9769288228......)

n=90071: c90057(5005769084......) = 1924827353799249343559 * x90036(2600632765......)

n=90071: x90036(2600632765......) = 697297957271332635761 * c90015(3729586095......)

n=90247: c90232(5362583066......) = 790754323166612551 * c90214(6781604487......)

n=91837: c91823(3644233379......) = 5735777656491615013 * c91804(6353512284......)

n=92927: c92912(3037419851......) = 264159717926906056027 * c92892(1149842176......)

# prime95, ECM, 80 curves, B1=11000, B2=1100000

July 18, 2016 2016 年 7 月 18 日 (Alfred Reich)

n=41748: c11760(9999999999......) = 90128409300108649 * c11744(1109528069......)

n=43754: c21581(1099999999......) = 952728092017613 * c21566(1154579159......)

n=45800: c18241(1000000000......) = 293830557688001 * c18226(3403321995......)

n=47090: c17664(9091000000......) = 211943090159201 * c17650(4289358994......)

n=79600: c31681(1000000000......) = 358422635150401 * c31666(2790002365......)

# ECM

# 138692 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138692 個の Φ_n(10) の素因数が見つかりました。

July 17, 2016 2016 年 7 月 17 日 (Maksym Voznyy)

n=74713: c74707(3717918545......) = 189895221548160008557 * c74687(1957878937......)

n=74731: c74731(1111111111......) = 339077603925596223551 * c74710(3276863756......)

n=74887: c74878(2617708089......) = 1600734032919911 * x74863(1635317320......)

n=74887: x74863(1635317320......) = 23027808252622631 * c74846(7101489217......)

n=79867: c79859(2972653257......) = 12768956115489401 * c79843(2328031540......)

n=79873: c79856(3372046298......) = 3500343703665189649 * x79837(9633471977......)

n=79873: x79837(9633471977......) = 419766173412129829601 * c79817(2294961478......)

n=79903: c79894(4491521173......) = 986850996805072043 * c79876(4551367114......)

n=79907: c79907(1111111111......) = 2499525197304650987 * c79888(4445288698......)

n=79939: c79916(2047683460......) = 222982017347305831 * c79898(9183177571......)

n=84719: c84711(3167935394......) = 27417915069551329 * c84695(1155425343......)

n=84811: c84800(4226055605......) = 230077184637329 * x84786(1836799077......)

n=84811: x84786(1836799077......) = 4781094170302622399 * c84767(3841796485......)

n=84827: c84811(3118512308......) = 9275279176189988839 * c84792(3362176220......)

n=89317: c89258(4039814492......) = 25382316089811803 * c89242(1591586235......)

n=89381: c89353(1128570722......) = 12814419367594557439 * c89333(8807037523......)

# prime95, ECM, 80 curves, B1=11000, B2=1100000

# 138687 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138687 個の Φ_n(10) の素因数が見つかりました。

# 13732 of 17984 R_prime factorizations were cracked. 17984 個中 13732 個の R_prime の素因数が見つかりました。

July 17, 2016 2016 年 7 月 17 日 (Ryan Propper)

n=429: c191(4684297334......) = 12998514909869151807098212773862100794044705428424741778699159434241 * p124(3603717322......)

# GNFS

# 1124 of 200000 Φ_n(10) factorizations were finished. 200000 個中 1124 個の Φ_n(10) の素因数分解が終わりました。

# c191 was the third smallest composite factor in the list.

July 15, 2016 2016 年 7 月 15 日 (Maksym Voznyy)

n=74471: c74453(5642675599......) = 35119437075706043 * c74437(1606710149......)

n=74521: c74512(1099722691......) = 340343413976099431 * c74494(3231214845......)

n=79589: c79578(4281056703......) = 143435663342003 * c79564(2984652912......)

n=79609: c79609(1111111111......) = 28155487616312706679027 * c79586(3946339435......)

n=79621: c79611(1646491186......) = 69183017956952111 * c79594(2379906565......)

n=79631: c79585(2409382525......) = 169875245798969 * c79571(1418324673......)

n=79633: c79620(5704895569......) = 220263802537382347 * c79603(2590028640......)

n=79669: c79654(1836356151......) = 1538428341614748641437 * c79633(1193657254......)

n=79699: c79688(3941929490......) = 208908730734521 * c79674(1886914671......)

n=79769: c79739(7690997922......) = 24852916552313951 * c79723(3094605780......)

n=84391: c84332(4737122955......) = 88720116685776226093 * c84312(5339401178......)

# prime95, ECM, 80 curves, B1=11000, B2=1100000

# 138685 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138685 個の Φ_n(10) の素因数が見つかりました。

# 13730 of 17984 R_prime factorizations were cracked. 17984 個中 13730 個の R_prime の素因数が見つかりました。

July 14, 2016 2016 年 7 月 14 日 (Maksym Voznyy)

n=74189: c74135(3280598183......) = 9987004707395921 * c74119(3284866963......)

# ECM curve 15, B1=11000, B2=1100000

n=74197: c74197(1111111111......) = 161845325713432243 * c74179(6865265377......)

# ECM curve 9, B1=11000, B2=1100000

n=74231: c74231(1111111111......) = 441127921211702196313213 * c74207(2518795700......)

# ECM curve 75, B1=11000, B2=1100000

n=74287: c74263(4347840921......) = 124127704953924479 * c74246(3502715951......)

# ECM curve 30, B1=11000, B2=1100000

n=79367: c79354(3048855832......) = 1920036869958307 * c79339(1587915253......)

# ECM curve 5, B1=11000, B2=1100000

n=79393: c79393(1111111111......) = 25188101156110584529 * c79373(4411253965......)

# ECM curve 41, B1=11000, B2=1100000

n=79411: c79370(4855458005......) = 1076969127823179049 * c79352(4508446788......)

# ECM curve 19, B1=11000, B2=1100000

n=79423: c79386(6133590362......) = 139362478003095961 * c79369(4401177742......)

# ECM curve 16, B1=11000, B2=1100000

n=79537: c79537(1111111111......) = 14339087819202761759 * c79517(7748827018......)

# ECM curve 60, B1=11000, B2=1100000

n=83969: c83957(7039437442......) = 15543724268559444667 * c83938(4528797166......)

# ECM curve 60, B1=11000, B2=1100000

n=84053: c84025(5294419368......) = 208457179676699517757 * c84005(2539811474......)

# ECM curve 56, B1=11000, B2=1100000

n=84061: c84061(1111111111......) = 490655086578164239 * c84043(2264546198......)

# ECM curve 20, B1=11000, B2=1100000

n=84067: c84056(1349788918......) = 9275916592132303667 * c84037(1455154221......)

# ECM curve 72, B1=11000, B2=1100000

n=84211: c84198(1103394830......) = 116160212134361 * c84183(9498905092......)

# ECM curve 1, B1=11000, B2=1100000

n=84313: c84302(8794869241......) = 28344055386510153613 * c84283(3102897281......)

# ECM curve 35, B1=11000, B2=1100000

# 138684 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138684 個の Φ_n(10) の素因数が見つかりました。

# 13729 of 17984 R_prime factorizations were cracked. 17984 個中 13729 個の R_prime の素因数が見つかりました。

July 13, 2016 2016 年 7 月 13 日 (anonymous)

# from http://factordb.com/

n=2277: c1276(1275798745......) = 37341797099678068414681695694866038173 * c1238(3416543509......)

July 12, 2016 2016 年 7 月 12 日 (Maksym Voznyy)

n=73693: c73693(1111111111......) = 6743573258131250837 * c73674(1647659287......)

# ECM curve 42, B1=11000, B2=1100000

n=73847: c73847(1111111111......) = 27056057063122121 * c73830(4106700058......)

# ECM curve 17, B1=11000, B2=1100000

n=73943: c73928(5955312619......) = 771320368777363 * c73913(7720932650......)

# ECM curve 16, B1=11000, B2=1100000

n=73951: c73951(1111111111......) = 29100019516525419907 * x73931(3818248680......)

# ECM curve 40, B1=11000, B2=1100000

n=73951: x73931(3818248680......) = 910461844006405399 * c73913(4193749255......)

# ECM curve 11, B1=11000, B2=1100000

n=78737: c78737(1111111111......) = 98235343107606283 * c78720(1131070626......)

# ECM curve 12, B1=11000, B2=1100000

n=78889: c78889(1111111111......) = 12912686899472230601 * c78869(8604801771......)

# ECM curve 12, B1=11000, B2=1100000

n=78901: c78883(4065473186......) = 118224743558035237 * x78866(3438766762......)

# ECM curve 1, B1=11000, B2=1100000

n=78901: x78866(3438766762......) = 482469126412968583387 * c78845(7127433807......)

# ECM curve 12, B1=11000, B2=1100000

n=79087: c79069(2069261256......) = 237103435754133809831 * c79048(8727251252......)

# ECM curve 68, B1=11000, B2=1100000

n=79111: c79104(3053252105......) = 1508505816459518957 * c79086(2024024085......)

# ECM curve 21, B1=11000, B2=1100000

n=79133: c79133(1111111111......) = 1399283546675611439 * c79114(7940571542......)

# ECM curve 60, B1=11000, B2=1100000

n=83537: c83528(1907201905......) = 999313459779923 * c83513(1908512176......)

# ECM curve 3, B1=11000, B2=1100000

n=83579: c83526(9964638674......) = 3234765522570899515559 * c83505(3080482528......)

# ECM curve 59, B1=11000, B2=1100000

n=83761: c83738(1640565795......) = 527791523738009 * c83723(3108359498......)

# ECM curve 8, B1=11000, B2=1100000

n=83857: c83848(1106570058......) = 170057338380124631 * c83830(6507040913......)

# ECM curve 76, B1=11000, B2=1100000

# 138679 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138679 個の Φ_n(10) の素因数が見つかりました。

# 13724 of 17984 R_prime factorizations were cracked. 17984 個中 13724 個の R_prime の素因数が見つかりました。

July 12, 2016 2016 年 7 月 12 日 (Sir Thomas W. Kilburn)

# via yoyo@home

n=1216: c475(7809412703......) = 3928012193813155346711857127951417921651415863617 * c427(1988133518......)

# ECM B1=110000000, sigma=1216426183

July 12, 2016 2016 年 7 月 12 日 (anonymous)

# from http://factordb.com/

n=1435: c953(4937416161......) = 76477989624050565171649436387228238961441 * c912(6455996275......)

July 11, 2016 2016 年 7 月 11 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=50153: c50153(1111111111......) = 3911026339398525737707317283 * c50125(2840970667......)

# ECM B1=11e3, sigma=1038073320

# 138673 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138673 個の Φ_n(10) の素因数が見つかりました。

# 13718 of 17984 R_prime factorizations were cracked. 17984 個中 13718 個の R_prime の素因数が見つかりました。

July 10, 2016 2016 年 7 月 10 日 (Maksym Voznyy)

n=78607: c78600(5889586392......) = 2174809837803517 * c78585(2708092583......)

# ECM curve 6, B1=11000, B2=1100000

n=78713: c78707(7057945022......) = 11500117892465532479 * c78688(6137280581......)

# ECM curve 47, B1=11000, B2=1100000

n=83423: c83398(1888869380......) = 6017023964533949548624243 * c83373(3139208671......)

# ECM curve 41, B1=11000, B2=1100000

n=83471: c83471(1111111111......) = 764092078800809111 * c83453(1454158656......)

# ECM curve 15, B1=11000, B2=1100000

# 138672 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138672 個の Φ_n(10) の素因数が見つかりました。

# 13717 of 17984 R_prime factorizations were cracked. 17984 個中 13717 個の R_prime の素因数が見つかりました。

July 9, 2016 2016 年 7 月 9 日 (Maksym Voznyy)

n=73379: c73371(5961450767......) = 2891658715689361 * c73356(2061602475......)

# ECM curve 4, B1=11000, B2=1100000

n=73517: c73505(1519806322......) = 11037749266519032689 * c73486(1376916874......)

# ECM curve 33, B1=11000, B2=1100000

n=83299: c83299(1111111111......) = 107228078459349763 * c83282(1036212834......)

# ECM curve 31, B1=11000, B2=1100000

n=83341: c83341(1111111111......) = 8139757823029739770603 * c83319(1365041977......)

# ECM curve 7, B1=11000, B2=1100000

# 138671 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138671 個の Φ_n(10) の素因数が見つかりました。

# 13716 of 17984 R_prime factorizations were cracked. 17984 個中 13716 個の R_prime の素因数が見つかりました。

July 9, 2016 2016 年 7 月 9 日 (Ray Chandler)

n=30452: p14469(1040925734......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_30452_10

July 8, 2016 2016 年 7 月 8 日 (Maksym Voznyy)

n=73133: c73121(2352008457......) = 21912557976848411071 * c73102(1073360974......)

# ECM curve 38, B1=11000, B2=1100000

n=73291: c73291(1111111111......) = 87739595025693528818627 * c73268(1266373648......)

# ECM curve 29, B1=11000, B2=1100000

n=78347: c78341(2363648783......) = 21716266619680883 * c78325(1088423173......)

# ECM curve 6, B1=11000, B2=1100000

n=78401: c78387(7206322107......) = 12256921782591436277 * x78368(5879389813......)

# ECM curve 28, B1=11000, B2=1100000

n=78401: x78368(5879389813......) = 7254809678110243 * c78352(8104126882......)

# ECM curve 2, B1=11000, B2=1100000

n=83101: c83079(4347840392......) = 22538445347834561 * c83063(1929077327......)

# ECM curve 1, B1=11000, B2=1100000

n=83137: c83101(1933265172......) = 442759305059726887289 * c83080(4366402130......)

# ECM curve 63, B1=11000, B2=1100000

n=83203: c83187(2638022931......) = 674899062101475187 * c83169(3908766627......)

# ECM curve 15, B1=11000, B2=1100000

# 138669 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138669 個の Φ_n(10) の素因数が見つかりました。

# 13714 of 17984 R_prime factorizations were cracked. 17984 個中 13714 個の R_prime の素因数が見つかりました。

July 7, 2016 2016 年 7 月 7 日 (Maksym Voznyy)

n=72937: c72915(6896936484......) = 4061036264328763 * c72900(1698319353......)

# ECM curve 2, B1=11000, B2=1100000

n=72977: c72944(1726053564......) = 1496571153177197 * c72929(1153338791......)

# ECM curve 6, B1=11000, B2=1100000

n=73013: c73013(1111111111......) = 369578491080132313003 * c72992(3006427965......)

# ECM curve 17, B1=11000, B2=1100000

n=78179: c78168(3369751475......) = 105673287643843 * c78154(3188839441......)

# ECM curve 2, B1=11000, B2=1100000

n=78241: c78241(1111111111......) = 38263598309658893 * c78224(2903833304......)

# ECM curve 6, B1=11000, B2=1100000

n=82981: c82981(1111111111......) = 292104574457092987 * c82963(3803812772......)

# ECM curve 41, B1=11000, B2=1100000

n=83003: c83003(1111111111......) = 7528855635968573 * c82987(1475803448......)

# ECM curve 17, B1=11000, B2=1100000

n=83089: c83089(1111111111......) = 20202631605992677 * c83072(5499833550......)

# ECM curve 1, B1=11000, B2=1100000

# 138668 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138668 個の Φ_n(10) の素因数が見つかりました。

# 13713 of 17984 R_prime factorizations were cracked. 17984 個中 13713 個の R_prime の素因数が見つかりました。

July 6, 2016 2016 年 7 月 6 日 (Alfred Reich)

n=23066: c10909(1099999999......) = 22440120059009133139 * c10889(4901934557......)

n=23698: c10881(1000000000......) = 11095752925475302853 * p10861(9012457349......)

makoto@betelgeuse /cygdrive/c/factorize/Phin10
$ ./pfgw64 -tc -q"(10^17+1)*(10^11849+1)/(10^289+1)/(10^697+1)/11095752925475302853"
PFGW Version 3.7.7.64BIT.20130722.Win_Dev [GWNUM 27.11]

Primality testing (10^17+1)*(10^11849+1)/(10^289+1)/(10^697+1)/11095752925475302853 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 2+sqrt(7)
Calling N-1 BLS with factored part 0.18% and helper 0.02% (0.56% proof)
(10^17+1)*(10^11849+1)/(10^289+1)/(10^697+1)/11095752925475302853 is Fermat and Lucas PRP! (11.0033s+0.0008s)

n=23816: c10945(1000099999......) = 4804528598992721860873 * c10923(2081577785......)

n=23928: c7969(1000099999......) = 14185076218818293329 * c7949(7050367474......)

n=24294: c8097(1098901098......) = 7308541190189971 * c8081(1503584737......)

n=24480: c6144(9999999999......) = 185508956512161308161 * c6124(5390575305......)

n=24530: c8880(9091000000......) = 1845352481656859776921 * c8859(4926430094......)

# ECM

# 1123 of 200000 Φ_n(10) factorizations were finished. 200000 個中 1123 個の Φ_n(10) の素因数分解が終わりました。

# 138663 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138663 個の Φ_n(10) の素因数が見つかりました。

July 6, 2016 2016 年 7 月 6 日 (Maksym Voznyy)

n=72871: c72864(3314704363......) = 216835901951407951 * c72847(1528669530......)

# ECM curve 3, B1=11000, B2=1100000

n=72883: c72876(3811282226......) = 71518240354869523 * c72859(5329105144......)

# ECM curve 5, B1=11000, B2=1100000

n=72901: c72895(1270112711......) = 1420410232880419806121 * c72873(8941872437......)

# ECM curve 51, B1=11000, B2=1100000

n=72931: c72922(8765880513......) = 2943834231388649 * c72907(2977708601......)

# ECM curve 21, B1=11000, B2=1100000

n=77849: c77836(1046036531......) = 680078415785596187 * c77818(1538111646......)

# ECM curve 21, B1=11000, B2=1100000

n=77983: c77974(2834882524......) = 2690500498926563 * x77959(1053663630......)

# ECM curve 15, B1=11000, B2=1100000

n=77983: x77959(1053663630......) = 490325243853199889 * c77941(2148907575......)

# ECM curve 3, B1=11000, B2=1100000

n=78059: c78053(7117078069......) = 1155334444976184917 * c78035(6160188593......)

# ECM curve 25, B1=11000, B2=1100000

n=82699: c82699(1111111111......) = 15492220688486889169 * c82679(7172058373......)

# ECM curve 57, B1=11000, B2=1100000

n=82727: c82727(1111111111......) = 5746111314349801 * c82711(1933674880......)

# ECM curve 21, B1=11000, B2=1100000

n=82781: c82770(2258596395......) = 19656291228295999 * c82754(1149045040......)

# ECM curve 6, B1=11000, B2=1100000

n=82793: c82770(7311168454......) = 18110179583162991133 * x82751(4037049119......)

# ECM curve 73, B1=11000, B2=1100000

n=82793: x82751(4037049119......) = 684551482884767421991 * c82730(5897363778......)

# ECM curve 7, B1=11000, B2=1100000

n=82837: c82837(1111111111......) = 1250781353222577889 * c82818(8883336070......)

# ECM curve 7, B1=11000, B2=1100000

n=82883: c82883(1111111111......) = 197830692561497441 * c82865(5616474859......)

# ECM curve 35, B1=11000, B2=1100000

# 138656 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138656 個の Φ_n(10) の素因数が見つかりました。

# 13708 of 17984 R_prime factorizations were cracked. 17984 個中 13708 個の R_prime の素因数が見つかりました。

July 5, 2016 2016 年 7 月 5 日 (Maksym Voznyy)

n=72493: c72460(1211583203......) = 17777312202397787969 * x72440(6815334002......)

n=72493: x72440(6815334002......) = 230945888276370987997 * c72420(2951052323......)

# ECM curve 15, B1=11000, B2=1100000

n=72577: c72570(3827351393......) = 2071995632883773929 * c72552(1847181206......)

# ECM curve 34, B1=11000, B2=1100000

n=72671: c72658(5646103679......) = 12726973996142929 * c72642(4436328447......)

# ECM curve 2, B1=11000, B2=1100000

n=72679: c72663(1908006445......) = 1800960252199461173 * c72645(1059438398......)

# ECM curve 14, B1=11000, B2=1100000

n=77557: c77548(9044432212......) = 33181518570365156561 * c77529(2725743908......)

# ECM curve 49, B1=11000, B2=1100000

n=77587: c77587(1111111111......) = 1755148580745114733 * c77568(6330581486......)

# ECM curve 7, B1=11000, B2=1100000

n=77617: c77595(5226584189......) = 454150641395793203843 * c77575(1150848135......)

# ECM curve 80, B1=11000, B2=1100000

n=77689: c77666(3338807540......) = 406389484615038685585289 * c77642(8215782314......)

# ECM curve 22, B1=11000, B2=1100000

n=77747: c77739(7217862957......) = 40607734166710451088067 * c77717(1777460157......)

# ECM curve 6, B1=11000, B2=1100000

n=77761: c77727(3192499870......) = 11065307268807012317 * c77708(2885143442......)

# ECM curve 14, B1=11000, B2=1100000

n=82469: c82469(1111111111......) = 28317820976641627 * c82452(3923716842......)

# ECM curve 3, B1=11000, B2=1100000

n=82483: c82483(1111111111......) = 20218555493980164787759 * c82460(5495501948......)

# ECM curve 13, B1=11000, B2=1100000

n=82561: c82535(2132320346......) = 15233419745380959677 * c82516(1399764716......)

# ECM curve 9, B1=11000, B2=1100000

# 138652 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138652 個の Φ_n(10) の素因数が見つかりました。

# 13704 of 17984 R_prime factorizations were cracked. 17984 個中 13704 個の R_prime の素因数が見つかりました。

July 4, 2016 2016 年 7 月 4 日 (Maksym Voznyy)

n=71413: c71406(1010321168......) = 7588282104511351 * c71390(1331422783......)

# ECM curve 48, B1=11000, B2=1100000

n=71429: c71429(1111111111......) = 70342093342175377885751 * c71406(1579582094......)

# ECM curve 68, B1=11000, B2=1100000

n=71453: c71438(8995840403......) = 25537856102941471 * c71422(3522551136......)

# ECM curve 4, B1=11000, B2=1100000

n=71527: c71509(1164274360......) = 171341185667825003 * c71491(6795064221......)

# ECM curve 19, B1=11000, B2=1100000

n=71821: c71815(1289211862......) = 1351112274503921 * c71799(9541855895......)

# ECM curve 5, B1=11000, B2=1100000

n=71879: c71873(1104147254......) = 7756909571838683 * c71857(1423437058......)

# ECM curve 5, B1=11000, B2=1100000

n=71899: c71893(3863430811......) = 308226486016242827942957 * c71870(1253438944......)

# ECM curve 43, B1=11000, B2=1100000

n=71941: c71934(1883506373......) = 14948548540365071 * c71918(1259992813......)

# ECM curve 17, B1=11000, B2=1100000

n=71993: c71963(1266221229......) = 5098193329329385210649 * c71941(2483666560......)

# ECM curve 3, B1=11000, B2=1100000

n=72091: c72072(9062677775......) = 427555707354944093 * c72055(2119648415......)

# ECM curve 16, B1=11000, B2=1100000

n=72167: c72126(2453532616......) = 699983591194627 * c72111(3505128759......)

# ECM curve 4, B1=11000, B2=1100000

n=72169: c72137(1993332856......) = 8335737683159954797 * c72118(2391309481......)

# ECM curve 16, B1=11000, B2=1100000

n=72251: c72229(1261329211......) = 14879953973848920961 * c72209(8476701028......)

# ECM curve 2, B1=11000, B2=1100000

n=72307: c72287(4472703993......) = 310210040404295723 * c72270(1441830827......)

# ECM curve 15, B1=11000, B2=1100000

n=76519: c76511(2719236224......) = 1080376949465678561 * c76493(2516932841......)

# ECM curve 17, B1=11000, B2=1100000

n=76597: c76597(1111111111......) = 112965269667345439 * c76579(9835864725......)

# ECM curve 7, B1=11000, B2=1100000

n=76603: c76582(2044513029......) = 166724722286335205747 * c76562(1226280663......)

# ECM curve 28, B1=11000, B2=1100000

n=76649: c76639(1136930716......) = 1236938743983728092759 * c76617(9191487633......)

# ECM curve 20, B1=11000, B2=1100000

n=76717: c76717(1111111111......) = 6654943498671427023523 * c76695(1669602621......)

# ECM curve 74, B1=11000, B2=1100000

n=76733: c76716(1806805665......) = 3907443247025089 * c76700(4624010002......)

# ECM curve 4, B1=11000, B2=1100000

n=76781: c76727(1483502044......) = 80227707164443523 * c76710(1849114347......)

# ECM curve 3, B1=11000, B2=1100000

n=76801: c76786(1003726137......) = 31893562312390534373 * c76766(3147112033......)

# ECM curve 24, B1=11000, B2=1100000

n=77017: c77017(1111111111......) = 437217104242613801 * c76999(2541325808......)

# ECM curve 59, B1=11000, B2=1100000

n=77047: c76997(1394368238......) = 22394112858307013 * x76980(6226494646......)

# ECM curve 9, B1=11000, B2=1100000

n=77047: x76980(6226494646......) = 714213899497591 * c76965(8717969015......)

# ECM curve 10, B1=11000, B2=1100000

n=77137: c77120(2198838685......) = 4730802686380418827 * c77101(4647918822......)

# ECM curve 19, B1=11000, B2=1100000

n=77167: c77143(9800468231......) = 36514202076572009 * c77127(2684015444......)

# ECM curve 18, B1=11000, B2=1100000

n=77239: c77239(1111111111......) = 1794652523564626990151 * c77217(6191232545......)

# ECM curve 80, B1=11000, B2=1100000

n=77243: c77227(5655610648......) = 30106004751660328787 * c77208(1878565653......)

# ECM curve 20, B1=11000, B2=1100000

n=77267: c77253(6462143841......) = 3589144337504704518523 * c77232(1800469202......)

# ECM curve 68, B1=11000, B2=1100000

n=77269: c77269(1111111111......) = 6851899942811933 * c77253(1621610240......)

# ECM curve 15, B1=11000, B2=1100000

n=77479: c77479(1111111111......) = 1087159170821256442157 * c77458(1022031677......)

# ECM curve 19, B1=11000, B2=1100000

n=77521: c77501(6576778613......) = 54462446923523 * c77488(1207580449......)

# ECM curve 5, B1=11000, B2=1100000

n=81527: c81516(1107920375......) = 489007149898957 * c81501(2265652711......)

# ECM curve 2, B1=11000, B2=1100000

n=81647: c81638(4663714640......) = 1002217796244849479 * c81620(4653394360......)

# ECM curve 33, B1=11000, B2=1100000

n=81649: c81627(1196403041......) = 3669392812733491483 * c81608(3260493226......)

# ECM curve 51, B1=11000, B2=1100000

n=81773: c81764(1276564294......) = 113944593630063582427 * c81744(1120337748......)

# ECM curve 49, B1=11000, B2=1100000

n=81919: c81919(1111111111......) = 469855603992362843 * c81901(2364792718......)

# ECM curve 37, B1=11000, B2=1100000

n=82009: c81981(1859681956......) = 112890786496399 * c81967(1647328372......)

# ECM curve 1, B1=11000, B2=1100000

n=82141: c82132(1719663851......) = 1842558793657163 * c82116(9333020237......)

# ECM curve 9, B1=11000, B2=1100000

n=82349: c82315(7102805628......) = 5306866426662719 * c82300(1338418014......)

# ECM curve 2, B1=11000, B2=1100000

# 138649 of 200000 Φ_n(10) factorizations were cracked. 200000 個中 138649 個の Φ_n(10) の素因数が見つかりました。

# 13701 of 17984 R_prime factorizations were cracked. 17984 個中 13701 個の R_prime の素因数が見つかりました。

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