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June 30, 2016 2016 年 6 月 30 日 (Alfred Reich)

n=22132: c10041(1009999999......) = 21874136756081304476073821 * c10015(4617325068......)

n=22794: c7280(9100000000......) = 3324707041986809077 * c7262(2737083263......)

n=22824: c7585(1000000000......) = 63537232630275910081 * c7565(1573880319......)

# ECM

# 138641 of 200000 Φn(10) factorization were cracked. 200000 個中 138641 個の Φn(10) の素因数が見つかりました。

June 29, 2016 2016 年 6 月 29 日 (Maksym Voznyy)

n=71257: c71246(3123912644......) = 17788335491308903693 * c71227(1756157930......)

# ECM curve 78, B1=11000, B2=1100000

n=71317: c71301(3196170150......) = 3124092061201049773 * c71283(1023071691......)

# ECM curve 32, B1=11000, B2=1100000

n=71347: c71311(7586064182......) = 99700391549959 * c71297(7608860973......)

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

n=71353: c71339(2262013569......) = 11521480055971874333 * c71320(1963301206......)

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

n=76283: c76248(1069079517......) = 3043735474618135001 * x76229(3512392998......)

# ECM curve 39, B1=11000, B2=1100000

n=76283: x76229(3512392998......) = 54001280818319 * c76215(6504277205......)

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

n=76493: c76466(5106022149......) = 2769639319014311 * c76451(1843569346......)

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

n=76511: c76502(8664820985......) = 22252937586773 * x76489(3893787483......)

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

n=76511: x76489(3893787483......) = 34948873926527683 * c76473(1114138181......)

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

n=81239: c81239(1111111111......) = 619023363725451077 * c81221(1794942123......)

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

n=81359: c81359(1111111111......) = 14552716573685830147 * c81339(7635076966......)

# ECM curve 52, B1=11000, B2=1100000

# 138638 of 200000 Φn(10) factorization were cracked. 200000 個中 138638 個の Φn(10) の素因数が見つかりました。

# 13693 of 17984 Rprime factorization were cracked. 17984 個中 13693 個の Rprime の素因数が見つかりました。

June 29, 2016 2016 年 6 月 29 日 (eratte)

# via yoyo@home

n=1136: c505(1123711501......) = 155744533524951745226433500587796122871137105818580913 * c451(7215094336......)

# ECM B1=110000000, sigma=2242550118

June 29, 2016 2016 年 6 月 29 日 (Alfred Reich)

n=20132: c8617(1009999999......) = 47908630040564853543229 * c8594(2108179672......)

n=20172: c6561(1000000000......) = 179699885920646939389088480161 * c6531(5564833805......)

n=20360: c8129(1000099999......) = 225587106098810666305841 * c8105(4433320757......)

n=20416: c8961(1000000000......) = 43619052001361550209 * c8941(2292576188......)

n=20760: c5504(9999000100......) = 2067900359561593681 * c5486(4835339407......)

n=20822: c10025(1099999999......) = 16516788702177641531 * c10005(6659890247......)

n=20866: c10432(9090909090......) = 60837292008397939761121 * c10410(1494298774......)

n=20942: c10153(1099999999......) = 59364308309814512447 * c10133(1852965243......)

n=21070: c7056(9999999000......) = 8442627813473045641 * c7038(1184465218......)

n=21556: c10113(1009999999......) = 1826212311559178210341 * c10091(5530572724......)

n=21948: c6960(9901000000......) = 469451257819768249 * c6943(2109058147......)

# ECM

# 138636 of 200000 Φn(10) factorization were cracked. 200000 個中 138636 個の Φn(10) の素因数が見つかりました。

June 28, 2016 2016 年 6 月 28 日 (Alfred Reich)

n=19310: c7721(1099989000......) = 6477836740165074091 * c7702(1698080770......)

n=19334: c8281(1099999890......) = 37314120804503493077 * c8261(2947945352......)

n=19434: c6240(9100000000......) = 572909010632335988661649 * c6217(1588384862......)

n=19794: c6597(1098901098......) = 17721007469599392061321 * c6574(6201120905......)

# ECM

# 138625 of 200000 Φn(10) factorization were cracked. 200000 個中 138625 個の Φn(10) の素因数が見つかりました。

June 27, 2016 2016 年 6 月 27 日 (Alfred Reich)

n=18134: c9066(9090909090......) = 11422330595210709509207 * c9044(7958891589......)

n=18208: c9088(9999999999......) = 78581259493400831505601 * c9066(1272568047......)

n=23292: c7753(1000000999......) = 18210010999837861 * c7736(5491490367......)

# ECM

# 138621 of 200000 Φn(10) factorization were cracked. 200000 個中 138621 個の Φn(10) の素因数が見つかりました。

June 28, 2016 2016 年 6 月 28 日 (Maksym Voznyy)

n=70951: c70903(2813634968......) = 100438959031437613 * c70886(2801338241......)

# ECM curve 26, B1=11000, B2=1100000

n=70979: c70941(9569310223......) = 168703683964731050519 * c70921(5672259193......)

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

n=71023: c71017(3911082325......) = 326568371985409984517 * c70997(1197630469......)

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

n=76031: c76023(5892710211......) = 392714447562905323 * c76006(1500507620......)

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

n=76081: c76081(1111111111......) = 463729856799489013 * c76063(2396030996......)

# ECM curve 32, B1=11000, B2=1100000

n=76091: c76071(3164464591......) = 416304593589932532409 * c76050(7601320379......)

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

n=80989: c80968(1702203909......) = 2224987287837037 * c80952(7650398359......)

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

n=81013: c80994(6515283112......) = 250447921028486639 * x80977(2601452264......)

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

n=81013: x80977(2601452264......) = 52109429131712621239 * c80957(4992287015......)

# ECM curve 58, B1=11000, B2=1100000

n=81031: c81021(9679636625......) = 137638570878020949557 * c81001(7032648307......)

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

n=81049: c81028(1077222977......) = 2764638998019651475157 * c81006(3896432691......)

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

n=81131: c81115(4591603300......) = 9693960058326166871 * c81096(4736560985......)

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

# 138618 of 200000 Φn(10) factorization were cracked. 200000 個中 138618 個の Φn(10) の素因数が見つかりました。

# 13691 of 17984 Rprime factorization were cracked. 17984 個中 13691 個の Rprime の素因数が見つかりました。

June 27, 2016 2016 年 6 月 27 日 (Maksym Voznyy)

n=70823: c70823(1111111111......) = 116305597488913655843 * c70802(9553376063......)

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

n=70853: c70827(3811526632......) = 3225498796601239 * x70812(1181685957......)

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

n=70853: x70812(1181685957......) = 544104384474951271 * c70794(2171800101......)

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

n=70919: c70919(1111111111......) = 2923349635707207857947 * c70897(3800814988......)

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

n=75787: c75762(2486005539......) = 13806063332190133 * x75746(1800662129......)

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

n=75787: x75746(1800662129......) = 545506065780671 * c75731(3300902120......)

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

n=75869: c75855(4304800868......) = 8086064615091054929 * c75836(5323728010......)

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

n=75931: c75916(5223140497......) = 12956239923454733 * c75900(4031370620......)

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

n=80783: c80768(2259531905......) = 46225726744870190363 * c80748(4888039766......)

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

# 138617 of 200000 Φn(10) factorization were cracked. 200000 個中 138617 個の Φn(10) の素因数が見つかりました。

# 13690 of 17984 Rprime factorization were cracked. 17984 個中 13690 個の Rprime の素因数が見つかりました。

June 26, 2016 2016 年 6 月 26 日 (Maksym Voznyy)

n=70621: c70621(1111111111......) = 211968615982258893521 * c70600(5241866141......)

# ECM curve 69, B1=11000, B2=1100000

n=70663: c70645(1646440644......) = 3340054515385502653 * c70626(4929382551......)

# ECM curve 58, B1=11000, B2=1100000

n=70729: c70708(6707797051......) = 277358540123427013613 * c70688(2418457008......)

# ECM curve 45, B1=11000, B2=1100000

n=75619: c75605(1765726860......) = 5460932513086954991 * c75586(3233379750......)

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

n=75679: c75679(1111111111......) = 143226851365924957 * c75661(7757701160......)

# ECM curve 26, B1=11000, B2=1100000

n=75703: c75663(1929920380......) = 13610295627383310431 * c75644(1417985643......)

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

n=80657: c80657(1111111111......) = 1772172221938633012853 * c80635(6269769367......)

# ECM curve 65, B1=11000, B2=1100000

n=80671: c80664(7651864059......) = 607697454174605401 * c80647(1259156839......)

# ECM curve 45, B1=11000, B2=1100000

n=80713: c80623(3763841206......) = 191170455690960797 * c80606(1968840422......)

# ECM curve 70, B1=11000, B2=1100000

# 138615 of 200000 Φn(10) factorization were cracked. 200000 個中 138615 個の Φn(10) の素因数が見つかりました。

# 13688 of 17984 Rprime factorization were cracked. 17984 個中 13688 個の Rprime の素因数が見つかりました。

June 26, 2016 2016 年 6 月 26 日 (Alfred Reich)

n=18024: c6001(1000099999......) = 584148400059646633 * c5983(1712064947......)

n=23034: c6960(9100000000......) = 490999087107388597 * c6943(1853363934......)

# 138612 of 200000 Φn(10) factorization were cracked. 200000 個中 138612 個の Φn(10) の素因数が見つかりました。

June 25, 2016 2016 年 6 月 25 日 (Alfred Reich)

n=12892: c5841(1009999999......) = 6044319878329815620341 * c5819(1670990318......)

# ECM

# 138610 of 200000 Φn(10) factorization were cracked. 200000 個中 138610 個の Φn(10) の素因数が見つかりました。

June 26, 2016 2016 年 6 月 26 日 (Ray Chandler)

n=16597: p14213(3389166928......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_16597_10

# See also http://stdkmd.com/nrr/repunit/prpfactors.htm

June 25, 2016 2016 年 6 月 25 日 (Maksym Voznyy)

n=75431: c75421(3777352923......) = 5337191706653611841 * x75402(7077416609......)

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

n=75431: x75402(7077416609......) = 5824307380124881468169 * x75381(1215151630......)

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

n=75431: x75381(1215151630......) = 61569898193963477 * c75364(1973613187......)

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

n=80557: c80521(3667650176......) = 224241228053217272453 * c80501(1635582452......)

# ECM curve 62, B1=11000, B2=1100000

June 24, 2016 2016 年 6 月 24 日 (Maksym Voznyy)

n=70183: c70183(1111111111......) = 486692708307782147 * c70165(2282982859......)

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

n=70223: c70200(1965794388......) = 141924446636381772090991 * c70177(1385099209......)

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

n=70249: c70249(1111111111......) = 99032857838676241 * c70232(1121962079......)

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

n=70313: c70299(2193027249......) = 430240356822968608187 * c70278(5097214185......)

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

n=70321: c70321(1111111111......) = 103582266141864167311 * c70301(1072684690......)

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

n=75193: c75176(8165392439......) = 1034085895187404649 * c75158(7896241963......)

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

n=75337: c75297(1237705512......) = 129986921051535871 * c75279(9521769595......)

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

n=80231: c80231(1111111111......) = 5144243743404079 * c80215(2159911478......)

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

n=80233: c80233(1111111111......) = 120599754242746043 * x80215(9213212067......)

# ECM curve 58, B1=11000, B2=1100000

n=80233: x80215(9213212067......) = 128773616345091511 * c80198(7154580518......)

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

n=80387: c80380(3637373768......) = 27375830953439 * c80367(1328680679......)

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

# 138609 of 200000 Φn(10) factorization were cracked. 200000 個中 138609 個の Φn(10) の素因数が見つかりました。

# 13685 of 17984 Rprime factorization were cracked. 17984 個中 13685 個の Rprime の素因数が見つかりました。

June 23, 2016 2016 年 6 月 23 日 (Alfred Reich)

n=61252: c30624(9900990099......) = 946779384005078821 * c30607(1045754720......)

n=61314: c18560(9100000000......) = 6789476583935726077 * c18542(1340309505......)

n=61502: c25080(9090910000......) = 638940921205956517 * c25063(1422809167......)

n=61852: c25945(1000000000......) = 361518775413663449 * c25927(2766108064......)

n=61928: c30960(9999000099......) = 48828848186381177 * c30944(2047764891......)

n=62120: c24833(1000099999......) = 329283479095233281 * c24815(3037200659......)

# ECM

# 138604 of 200000 Φn(10) factorization were cracked. 200000 個中 138604 個の Φn(10) の素因数が見つかりました。

June 19, 2016 2016 年 6 月 19 日 (Alfred Reich)

n=57932: c24817(1009999999......) = 1696892055398889049 * c24798(5952058039......)

n=100930: c40369(1099989000......) = 62571581571459041 * c40352(1757968989......)

n=101072: c50528(9999999900......) = 1725089499854257 * c50513(5796800630......)

n=101342: c50670(9090909090......) = 171156467924933 * c50656(5311461028......)

n=101668: c43561(1009999999......) = 89953425176581 * c43547(1122803270......)

n=102134: c50617(1099999999......) = 15959215046143 * c50603(6892569570......)

# ECM

# 138598 of 200000 Φn(10) factorization were cracked. 200000 個中 138598 個の Φn(10) の素因数が見つかりました。

June 23, 2016 2016 年 6 月 23 日 (Maksym Voznyy)

n=70009: c70003(3967729661......) = 27002757033472439 * x69987(1469379462......)

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

n=70009: x69987(1469379462......) = 51712917351263159 * c69970(2841416685......)

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

n=70051: c70051(1111111111......) = 2421236753602107455723 * c70029(4589022983......)

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

n=70061: c70031(7989534525......) = 2349344911369481 * c70016(3400749922......)

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

n=75017: c75002(1728302965......) = 57947229024839453641 * c74982(2982546352......)

# ECM curve 55, B1=11000, B2=1100000

n=75149: c75149(1111111111......) = 16617514082668512733 * c75129(6686385855......)

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

n=80013: c52689(1109999999......) = 164956856493997 * c52674(6729032206......)

# ECM curve 16, B1=2000, B2=200000

n=80077: c80077(1111111111......) = 2128659271883866159639 * c80055(5219769672......)

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

# 138592 of 200000 Φn(10) factorization were cracked. 200000 個中 138592 個の Φn(10) の素因数が見つかりました。

# 13680 of 17984 Rprime factorization were cracked. 17984 個中 13680 個の Rprime の素因数が見つかりました。

June 22, 2016 2016 年 6 月 22 日 (Maksym Voznyy)

n=88589: c88577(8743567019......) = 1566164698313876385877 * c88556(5582788980......)

# ECM curve 67, B1=11000, B2=1100000

n=89417: c89398(1334190536......) = 146085541564037815879 * c89377(9132940345......)

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

n=89431: c89414(9635385044......) = 29184544978591 * c89401(3301536841......)

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

n=89519: c89503(1980713306......) = 107414288622002366353049 * c89480(1843994250......)

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

n=89533: c89526(1034172695......) = 34023917454461041 * c89509(3039546216......)

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

n=89561: c89549(1091379736......) = 5985716953953157 * c89533(1823306622......)

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

n=90659: c90650(9284801671......) = 4356026975889809823037 * c90629(2131483969......)

# ECM curve 32, B1=11000, B2=1100000

June 21, 2016 2016 年 6 月 21 日 (Maksym Voznyy)

n=85009: c85003(3267618262......) = 23273594527230146717 * x84984(1404002402......)

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

n=85009: x84984(1404002402......) = 2930524732783213 * c84968(4790959061......)

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

n=85061: c85032(1477259072......) = 260939041423743209 * x85014(5661318693......)

# ECM curve 32, B1=11000, B2=1100000

n=85061: x85014(5661318693......) = 40013579268858567839 * c84995(1414849357......)

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

n=87011: c86996(2725053405......) = 3155835674544347 * c86980(8634966096......)

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

n=87049: c87033(4855119753......) = 4601784350470736813 * x87015(1055051559......)

# ECM curve 62, B1=11000, B2=1100000

n=87049: x87015(1055051559......) = 68013861543951846511 * c86995(1551230198......)

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

n=87107: c87081(6047493155......) = 11109210970380151 * c87065(5443674777......)

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

n=88867: c88857(3497560389......) = 725803993186430161 * x88839(4818877302......)

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

n=88867: x88839(4818877302......) = 854724080856474497701079 * c88815(5637933235......)

# ECM curve 32, B1=11000, B2=1100000

n=89819: c89809(3909784315......) = 140388654888998441 * x89792(2784971704......)

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

n=89819: x89792(2784971704......) = 195276841292693 * c89778(1426165891......)

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

n=89839: c89831(7634446166......) = 20470388770669507 * c89815(3729507168......)

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

n=90787: c90781(1223864526......) = 14142258693686939077 * c90761(8653953746......)

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

n=90803: c90777(2039857416......) = 546936128961039084694751 * c90753(3729608099......)

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

n=90911: c90883(1678470595......) = 4385287485751693253 * c90864(3827504128......)

# ECM curve 77, B1=11000, B2=1100000

June 19, 2016 2016 年 6 月 19 日 (Maksym Voznyy)

n=85121: c85076(3303107739......) = 231540929490229523 * c85059(1426576176......)

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

n=85213: c85185(6844168754......) = 10453149658051008133 * c85166(6547470359......)

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

n=85333: c85315(1184503614......) = 2154808443207182827 * c85296(5497025123......)

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

n=85439: c85429(2160110593......) = 13400755253453732039 * c85410(1611931979......)

# ECM curve 26, B1=11000, B2=1100000

n=85453: c85447(3250640294......) = 16821117969146688555390397 * c85422(1932475772......)

# ECM curve 27, B1=11000, B2=1100000

n=85487: c85471(2822546141......) = 14029771651257610481 * c85452(2011826145......)

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

n=85513: c85504(3995533803......) = 17355471959505866498881 * c85482(2302175252......)

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

n=85517: c85501(9046648582......) = 15688129949058923 * c85485(5766556378......)

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

n=85817: c85810(4315814191......) = 33265119710957093 * c85794(1297399266......)

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

n=85933: c85921(1772023991......) = 576937529276054470039 * c85900(3071431310......)

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

n=86243: c86236(9202487579......) = 40106582346579401 * c86220(2294508043......)

# ECM curve 54, B1=11000, B2=1100000

n=86369: c86340(1861221053......) = 3762033482436161071 * x86321(4947380352......)

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

n=86369: x86321(4947380352......) = 504703677699077 * c86306(9802544682......)

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

n=86389: c86357(2686312300......) = 920776836687923 * c86342(2917441223......)

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

n=86689: c86665(8498585375......) = 25416781295471877347 * c86646(3343690641......)

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

n=86711: c86705(1601742439......) = 47929564375523609159 * c86685(3341867301......)

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

n=86729: c86721(1558552112......) = 1333500482414662027 * c86703(1168767565......)

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

n=87251: c87234(1475776936......) = 424210157548813 * c87219(3478881658......)

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

n=87257: c87241(1768692874......) = 20126965871799475237 * c87221(8787677617......)

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

n=87427: c87418(1052245043......) = 3170042338464484799 * c87399(3319340662......)

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

n=87481: c87469(1028210746......) = 16353011182362616907 * c87449(6287592758......)

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

n=87583: c87548(4573515863......) = 2033704351523893 * c87533(2248859751......)

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

n=87589: c87562(9198404971......) = 2687201338416771053 * c87544(3423042717......)

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

n=87649: c87640(6147830167......) = 569252663445397 * c87626(1079982679......)

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

n=87671: c87665(2112270113......) = 1409501516213203249 * c87647(1498593715......)

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

n=87679: c87664(1358273083......) = 68696936478791194723 * c87644(1977196005......)

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

n=87943: c87931(2932698479......) = 7337643614836813123 * c87912(3996785117......)

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

n=87977: c87948(6276442998......) = 3862192658384131003 * x87930(1625098371......)

# ECM curve 46, B1=11000, B2=1100000

n=87977: x87930(1625098371......) = 66526047882598879 * c87913(2442800110......)

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

June 18, 2016 2016 年 6 月 18 日 (Alfred Reich)

n=17384: c8321(1000099999......) = 25756157667950658881 * c8301(3882954953......)

n=27292: c13644(9900990099......) = 59357403402722989 * c13628(1668029518......)

n=27478: c12481(1099999999......) = 16008862872302709289 * c12461(6871193842......)

n=31560: c8384(9999000100......) = 1226000560628361841 * c8366(8155787542......)

n=32234: c15821(1099999999......) = 46115399108158387477 * c15801(2385320351......)

n=33552: c11137(1000000000......) = 16288329174178511377 * c11117(6139365120......)

n=40754: c16800(9090910000......) = 4733987004506327 * c16785(1920349589......)

n=40996: c19873(1009999999......) = 134985726400901 * c19858(7482272584......)

n=41446: c18304(9090909090......) = 165195046413223 * c18290(5503136618......)

n=43836: c13440(9901000000......) = 326322294418381 * c13426(3034116935......)

n=43896: c13920(9999000100......) = 306866449289497 * c13906(3258420763......)

n=43920: c11520(9999999999......) = 26536622424446881 * c11504(3768377090......)

n=45680: c18241(1000000009......) = 31652488386382081 * c18224(3159309302......)

n=47280: c12544(9999999900......) = 313294098860879041 * c12527(3191889006......)

n=48654: c14976(9999999990......) = 26025613021477 * c14963(3842368662......)

n=49662: c15840(9990010000......) = 53903783336059 * c15827(1853304050......)

n=52368: c17441(1000000009......) = 254383892338561 * c17426(3931066549......)

n=53088: c14976(9999999999......) = 4428799342072167735457 * c14955(2257948312......)

n=53730: c14256(9999999990......) = 845479622701891 * c14242(1182760615......)

n=54002: c23760(9090909090......) = 8804413679410597 * c23745(1032539976......)

n=54162: c16704(9999999990......) = 213227748668197 * c16690(4689821119......)

n=54254: c27126(9090909090......) = 77359261519758047 * c27110(1175154585......)

n=55494: c18493(1000999998......) = 10203601641614047 * c18476(9810261456......)

n=55520: c22145(1000000000......) = 29791600942721 * c22131(3356650761......)

n=100090: c40033(1099989000......) = 54702527705731 * c40019(2010855889......)

n=100210: c36400(9091000000......) = 1813584850236721 * c36385(5012723831......)

n=100432: c50208(9999999900......) = 398569088200321 * c50194(2508975280......)

n=102202: c50593(1099999999......) = 93059759549287 * c50579(1182036151......)

# ECM

# 138588 of 200000 Φn(10) factorization were cracked. 200000 個中 138588 個の Φn(10) の素因数が見つかりました。

June 15, 2016 2016 年 6 月 15 日 (Alfred Reich)

n=13522: c6760(9090909090......) = 480263609216711706345386042743 * c6731(1892899840......)

n=16426: c7981(1099999999......) = 332033464287125534441 * c7960(3312919082......)

# ECM

# 138560 of 200000 Φn(10) factorization were cracked. 200000 個中 138560 個の Φn(10) の素因数が見つかりました。

June 15, 2016 2016 年 6 月 15 日 (Kurt Beschorner)

n=5559: c3434(3525158392......) = 3454768257833537574682119090531523 * c3401(1020374777......)

# ECM B1=1e6, sigma=1133486984

June 10, 2016 2016 年 6 月 10 日 (Alfred Reich)

n=14002: c7000(9090909090......) = 1561479950925433052464289 * c6976(5821982591......)

n=15572: c7260(7368693659......) = 2025437561376616529 * c7242(3638074952......)

n=15698: c7621(4492587798......) = 2196711437732572704837811 * c7597(2045142443......)

n=15718: c7561(1099999999......) = 128303069589939817237127 * c7537(8573450374......)

n=16114: c6873(9327679490......) = 419053669019336330514342893 * c6847(2225891378......)

n=16160: c6383(2495981061......) = 208834279440434181761 * c6363(1195197009......)

n=20778: c6915(4263076133......) = 1609328189193435727 * c6897(2648978724......)

n=21904: c10647(3801344045......) = 181529467446145418849 * c10627(2094064450......)

n=22032: c6905(4808106313......) = 460584519480938691217 * c6885(1043914007......)

n=22374: c6703(6183527828......) = 1949213813113545463 * c6685(3172318904......)

n=22858: c10365(2605379752......) = 29156080125628369 * c10348(8935974046......)

n=23264: c11616(9999999999......) = 5231730217904978241071809 * c11592(1911413544......)

n=23314: c11641(1004441006......) = 734776816229184851 * c11623(1367001494......)

n=23712: c6908(1054307372......) = 55784794701689600353 * c6888(1889954741......)

n=23796: c7900(4135602969......) = 177063583636662589 * c7883(2335659814......)

# ECM

# 138558 of 200000 Φn(10) factorization were cracked. 200000 個中 138558 個の Φn(10) の素因数が見つかりました。

June 9, 2016 2016 年 6 月 9 日 (Alfred Reich)

n=16172: c7406(6595579434......) = 27489992513114011788181 * c7384(2399265634......)

n=19536: c5747(2986376847......) = 4698816213926086033 * c5728(6355594072......)

n=19640: c7828(1456896389......) = 336482892730564961 * c7810(4329778485......)

n=20664: c5760(9999999999......) = 514347375199964308633 * c5740(1944211340......)

n=21520: c8568(2870900890......) = 488619677094283587361 * c8547(5875532700......)

n=21534: c6885(3560171495......) = 121200268613131 * c6871(2937428717......)

n=21608: c10335(2115151966......) = 1770989964886609 * c10320(1194333118......)

n=22474: c10554(6797974697......) = 213334590728051538397 * c10534(3186531858......)

n=23188: c9594(1377379390......) = 2600253936343501351409 * c9572(5297095682......)

n=23214: c7474(5814113899......) = 2547499588603462251516253 * c7450(2282282566......)

n=23302: c11382(1655535404......) = 11752123499197320700249 * c11360(1408711714......)

n=23310: c5172(2149459275......) = 6619785801965581948291 * c5150(3247022395......)

n=23356: c11676(9900990099......) = 32886869936818443149 * c11657(3010620991......)

n=23466: c7812(1241437414......) = 248915991479965232893 * c7791(4987375087......)

n=23604: c6712(1172011183......) = 1767881055122104510729 * c6690(6629468536......)

# ECM

# 138555 of 200000 Φn(10) factorization were cracked. 200000 個中 138555 個の Φn(10) の素因数が見つかりました。

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

n=15424: c7660(1018769383......) = 22129977051399538374593 * c7637(4603571803......)

n=16346: c7402(9296848416......) = 12405133508386593899 * c7383(7494355792......)

n=17296: c8065(2994102219......) = 886342011604350488641 * c8044(3378043892......)

n=18312: c5142(4161563902......) = 20347986403248972291097 * c5120(2045196915......)

n=18456: c6126(7235436127......) = 605650066737273155737 * c6106(1194656209......)

n=19188: c5752(8599975777......) = 828273518588152729 * c5735(1038301428......)

n=21062: c10522(2609905109......) = 992237582060411 * c10507(2630322773......)

# ECM

June 7, 2016 2016 年 6 月 7 日 (Ray Chandler)

n=14011: p13957(3202159838......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_14011_10

# See also http://stdkmd.com/nrr/repunit/prpfactors.htm

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

n=16088: c8019(1880874291......) = 479130688602290369 * c8001(3925597620......)

n=16148: c7311(3419127723......) = 55997061575122850589221 * c7288(6105905608......)

n=16406: c7561(1099999999......) = 14613343393682854047027841 * c7535(7527367080......)

n=17204: c7002(6646607013......) = 8326249069788954701 * c6983(7982714615......)

n=18194: c8239(1133746962......) = 51568547282476093 * c8222(2198524143......)

n=19118: c8562(3296024358......) = 1949274696350314037 * c8544(1690897832......)

n=19198: c9227(7896380500......) = 867079764202799040379 * c9206(9106867472......)

n=19218: c6400(5717784998......) = 62303466087036783691 * c6380(9177314454......)

n=19368: c6420(2496347730......) = 9010283662314793 * c6404(2770553985......)

n=20274: c6464(1417262564......) = 329048478049414171 * c6446(4307154293......)

n=21104: c10500(8525071005......) = 1414560937117511969 * c10482(6026655184......)

n=21124: c10533(1083520204......) = 461587520869654794949 * c10512(2347377595......)

n=21486: c7156(5114260245......) = 2302155196151588467018561 * c7132(2221509763......)

n=21876: c7289(1009998990......) = 413687879792543401 * c7271(2441451730......)

n=22194: c7333(5119026715......) = 8508206757542431599270703 * c7308(6016575361......)

n=22402: c10645(2507876855......) = 139649958252093414361 * c10625(1795830723......)

n=23304: c7734(4455728402......) = 830398437436222483897 * c7713(5365771660......)

# ECM

# 138553 of 200000 Φn(10) factorization were cracked. 200000 個中 138553 個の Φn(10) の素因数が見つかりました。

June 5, 2016 2016 年 6 月 5 日 (Alfred Reich)

n=20290: c8099(3563297823......) = 409673091198371411 * c8081(8697905475......)

n=23078: c10481(1099999999......) = 28363943296203727103 * c10461(3878163161......)

# ECM

# 138551 of 200000 Φn(10) factorization were cracked. 200000 個中 138551 個の Φn(10) の素因数が見つかりました。

June 4, 2016 2016 年 6 月 4 日 (Alfred Reich)

n=14348: c6673(6245509433......) = 324996050516033681801 * c6653(1921718563......)

n=17034: c5312(9100000000......) = 3003525659258043841 * c5294(3029772684......)

n=17612: c6896(2628826988......) = 130920811116885469 * c6879(2007951956......)

# ECM

# 138550 of 200000 Φn(10) factorization were cracked. 200000 個中 138550 個の Φn(10) の素因数が見つかりました。

June 3, 2016 2016 年 6 月 3 日 (Alfred Reich)

n=14768: c6696(7553224523......) = 43454168694845310892105258033 * c6668(1738204814......)

n=14822: c7368(1167232335......) = 3765549704479520916216529 * c7343(3099766109......)

n=19144: c9530(2272692495......) = 223062816398654321505930881 * c9504(1018857616......)

# ECM

June 3, 2016 2016 年 6 月 3 日 (anonymous)

# Some factors of 10^n+1 from http://factordb.com/

n=5740L: c932(1279896991......) = 160875812226384158341944785758910341 * c896(7955807487......)

n=16622: c8291(3605834151......) = 148345013550866887 * c8274(2430708026......)

n=16786: c6468(3003232190......) = 802535733288132691 * c6450(3742178779......)

n=17220M: c1865(1943217137......) = 8086209551140547132921564881 * c1837(2403124881......)

n=18366: c6101(1151125487......) = 997483878444139 * c6086(1154029165......)

n=18442: c9187(1214128816......) = 16094760325458019 * c9170(7543627816......)

n=19520: c7659(3166544535......) = 46018207423411520641 * c7639(6881068848......)

n=19550: c7012(1296585882......) = 86498856929417201 * c6995(1498963024......)

n=19792: c9871(1922624591......) = 320470495952496433 * c9853(5999380959......)

June 3, 2016 2016 年 6 月 3 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=9767: c9767(1111111111......) = 54578074909849412344440427 * c9741(2035819535......)

# ECM B1=5e4, sigma=692329857

# 138549 of 200000 Φn(10) factorization were cracked. 200000 個中 138549 個の Φn(10) の素因数が見つかりました。

# 13677 of 17984 Rprime factorization were cracked. 17984 個中 13677 個の Rprime の素因数が見つかりました。

June 3, 2016 2016 年 6 月 3 日 (Alfred Reich)

n=16680: c4399(7108164882......) = 152893211386405921 * c4382(4649104311......)

# ECM

June 2, 2016 2016 年 6 月 2 日 (Alfred Reich)

n=14312: c7114(6028648319......) = 212024446055889956185033 * c7091(2843374163......)

n=14448: c3963(6688298943......) = 2379979092067452316304977 * c3939(2810234327......)

n=20244: c5745(3405851888......) = 74622491486167655269 * c5725(4564109052......)

n=23318: c11422(3862529603......) = 25738349917383373 * c11406(1500690454......)

# ECM

June 1, 2016 2016 年 6 月 1 日 (Alfred Reich)

n=19554: c6498(4104873639......) = 5854359076913466867169 * c6476(7011653342......)

n=21446: c10714(4432684848......) = 72320783488624157 * c10697(6129199152......)

# ECM

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