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December 31, 2015 2015 年 12 月 31 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=35603: c35603(1111111111......) = 311308613485890099278999 * c35579(3569162763......)

# ECM B1=11e3, sigma=2226654597

# 138453 of 200000 Phi_n(10) factorizations were cracked.

# 13660 of 17984 R_prime factorizations were cracked.

December 30, 2015 2015 年 12 月 30 日 (Ray Chandler)

n=14485: p11566(1953572169......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_14485_10

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

December 22, 2015 2015 年 12 月 22 日 (Kurt Beschorner)

n=5529: c3423(4517465668......) = 2368580289133544095669059890119 * c3393(1907246162......)

# ECM B1=1e6, sigma=233239547

December 21, 2015 2015 年 12 月 21 日 (Ray Chandler)

n=47520: p11504(8700248466......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_47520_10

n=57740M: p11545(2824060999......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_57740M_10

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

December 20, 2015 2015 年 12 月 20 日 (Ray Chandler)

n=35712: p11499(1854921265......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_35712_10

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

December 17, 2015 2015 年 12 月 17 日 (Yousuke Koide)

n=970: c356(1042332048......) = 945810328223866785885905285429505642199347228900195881 * c302(1102051878......)

# ECM B1=120000000, sigma=684477545

December 12, 2015 2015 年 12 月 12 日 (Alfred Eichhorn)

# via Kurt Beschorner

n=33641: c33641(1111111111......) = 14764025183227968406321 * c33618(7525800703......)

# ECM B1=11e3, sigma=1476022643

n=87253: c87253(1111111111......) = 1033960955492983123 * c87235(1074616120......)

# ECM B1=2e3, sigma=2075287670

# 138452 of 200000 Phi_n(10) factorizations were cracked.

# 13659 of 17984 R_prime factorizations were cracked.

December 9, 2015 2015 年 12 月 9 日 (Maksym Voznyy)

n=175837: c175828(3534107121......) = 3075036970396935559 * c175810(1149289311......)

# P-1 B1=175837, B2=17583700, E=12

n=175873: c175856(1775698453......) = 44379573565919597801 * c175836(4001161595......)

# P-1 B1=175873

n=176159: c176135(7902481811......) = 173688348748664305879 * c176115(4549805365......)

# P-1 B1=176159

n=176321: c176300(8684842002......) = 33661671355806873997 * c176281(2580038855......)

# P-1 B1=176321, B2=17632100, E=12

n=176369: c176322(7576184448......) = 254470009906879387 * c176305(2977240599......)

# P-1 B1=176369

n=176509: c176499(7790750119......) = 19803430325078501136599197 * c176474(3934040714......)

# P-1 B1=176509, B2=17650900, E=12

n=176573: c176561(1484896633......) = 1175774309073539064299801 * c176537(1262909575......)

# P-1 B1=176573, B2=17657300, E=12

n=176857: c176849(1348184453......) = 160981304858588809289 * c176828(8374788951......)

# P-1 B1=176857, B2=17685700, E=12

n=176989: c176974(1364540089......) = 1308221939931897409 * c176956(1043049384......)

# P-1 B1=176989, B2=17698900, E=12

n=177109: c177103(1568397911......) = 686809895815437841 * c177085(2283598301......)

# P-1 B1=177109

n=177553: c177544(2191145775......) = 235728067971899174904871 * c177520(9295226464......)

# P-1 B1=177553

n=177589: c177576(1105794870......) = 80168164554272761 * c177559(1379344128......)

# P-1 B1=177589

n=177739: c177730(5379830936......) = 898370944370077879 * c177712(5988429356......)

# P-1 B1=177739

n=177889: c177874(4116895006......) = 4467571378133691557 * c177855(9215062631......)

# P-1 B1=177889, B2=17788900, E=12

n=190159: c190149(7620061933......) = 1554195601340203883 * c190131(4902897632......)

# P-1 B1=190159

n=190207: c190182(2840154272......) = 70613856625441784646161 * c190159(4022091991......)

# P-1 B1=190207, B2=19020700, E=12

n=190243: c190222(1300439919......) = 13785400340963296667 * c190202(9433457765......)

# P-1 B1=190243, B2=19024300, E=12

n=192053: c192034(2100861684......) = 437553733157381761961 * c192013(4801379866......)

# P-1 B1=192053, B2=19205300, E=12

n=192251: c192229(1169913294......) = 873010326618396230161 * c192208(1340091015......)

# P-1 B1=192251, B2=19225100, E=12

n=192631: c192597(5964171331......) = 33373309041502559 * c192581(1787108171......)

# P-1 B1=192631, B2=19263100, E=12

n=192991: c192983(4054451165......) = 14184960363635706762157 * c192961(2858274582......)

# P-1 B1=192991, B2=19299100, E=12

n=196043: c196033(3805351696......) = 190516168229245455456991 * c196010(1997390421......)

# P-1 B1=196043, B2=19604300, E=12

n=196279: c196269(9510880631......) = 300658176370748489 * c196252(3163353395......)

# P-1 B1=196279

n=196429: c196423(1414136528......) = 105089430380545161853 * c196403(1345650579......)

# P-1 B1=196429, B2=19642900, E=12

n=198109: c198092(1062326951......) = 6842175572943252587 * c198073(1552615744......)

# P-1 B1=198109, B2=19810900, E=12

n=198397: c198381(3879750121......) = 21020690548269187 * c198365(1845681574......)

# P-1 B1=198397, B2=19839700, E=12

n=198413: c198404(5511802618......) = 332116140672909361 * c198387(1659600947......)

# P-1 B1=198413

n=198553: c198538(6964298358......) = 6527844066997836326432107 * c198514(1066860403......)

# P-1 B1=198553, B2=19855300, E=12

n=198899: c198886(3191600157......) = 173715171063912479 * c198869(1837260463......)

# P-1 B1=198899, B2=19889900, E=12

n=199109: c199090(1585536907......) = 6447057474645122187329 * c199068(2459318710......)

# P-1 B1=199109, B2=19910900, E=12

n=199193: c199185(1499479291......) = 967859842988766601 * c199167(1549273174......)

# P-1 B1=199193, B2=19919300, E=12

n=199247: c199230(1527069574......) = 557094995190132294329849 * c199206(2741129588......)

# P-1 B1=199247, B2=19924700, E=12

n=199261: c199239(3036434788......) = 22438695320937083 * c199223(1353213609......)

# P-1 B1=199261, B2=19926100, E=12

n=199373: c199351(1585078235......) = 1114635428270569653163 * c199330(1422059800......)

# P-1 B1=199373

n=199411: c199402(8075311524......) = 19872919316791439 * c199386(4063475222......)

# P-1 B1=199411

n=190409: c190395(3869520804......) = 53906930731757936681 * c190375(7178150847......)

# P-1 B1=190409, B2=19040900, E=12

n=190523: c190466(7829048294......) = 2286284036971552883 * c190448(3424355052......)

# P-1 B1=190523, B2=19052300, E=12

n=190639: c190632(1457087696......) = 107692473820616903083 * c190612(1353007916......)

# P-1 B1=190639, B2=19063900, E=12

n=190657: c190634(1613121679......) = 8827403901087651153351761 * c190609(1827402142......)

# P-1 B1=190657, B2=19065700, E=12

n=190783: c190764(7261005369......) = 310331796996161641 * c190747(2339755526......)

# P-1 B1=190783, B2=19078300, E=12

n=190997: c190983(3953283322......) = 64815588968519471 * c190966(6099278562......)

# P-1 B1=190997

n=191027: c191009(1144600532......) = 15200167613749256087689 * c190986(7530183626......)

# P-1 B1=191027, B2=19102700, E=12

n=191039: c191016(1596371376......) = 19832726373323867 * c190999(8049177640......)

# P-1 B1=191039, B2=19103900, E=12

n=191189: c191182(1320814599......) = 31942226361767790157 * c191162(4135011081......)

# P-1 B1=191189

n=191459: c191443(3768751606......) = 264107060558446943154721 * c191420(1426978740......)

# P-1 B1=191459, B2=19145900, E=12

n=191627: c191614(7044120342......) = 12995401215009328995853 * c191592(5420471616......)

# P-1 B1=191627, B2=19162700, E=12

n=191657: c191638(2931391314......) = 4323339713520435881201 * c191616(6780386248......)

# P-1 B1=191657, B2=19165700, E=12

n=191669: c191660(1966428380......) = 436442689991557919 * c191642(4505582120......)

# P-1 B1=191669

n=191773: c191750(1647237728......) = 911372507107433392899751 * c191726(1807425301......)

# P-1 B1=191773, B2=19177300, E=12

n=196613: c196599(1017619270......) = 225080485386166391 * c196581(4521135044......)

# P-1 B1=196613, B2=19661300, E=12

n=196727: c196720(1486311597......) = 353234547410507901658764631 * c196693(4207718663......)

# P-1 B1=196727, B2=19672700, E=12

n=196873: c196864(3359402555......) = 1269299110496378009 * c196846(2646659505......)

# P-1 B1=196873, B2=19687300, E=12

n=197003: c196990(1590111402......) = 25027852877541544706231 * c196967(6353367227......)

# P-1 B1=197003, B2=19700300, E=12

n=197023: c197006(2880673371......) = 2601674191705039452653 * c196985(1107238323......)

# P-1 B1=197023, B2=19702300, E=12

n=197539: c197528(5156647838......) = 745229231476957237 * c197510(6919545853......)

# P-1 B1=197539, B2=19753900, E=12

n=197599: c197593(1405763320......) = 26775535776827483 * x197576(5250178118......)

n=197599: x197576(5250178118......) = 315720546519252911 * c197559(1662919368......)

# P-1 B1=197599

n=199567: c199556(1542761268......) = 9959419515455302163957831 * c199531(1549047377......)

# P-1 B1=199567, B2=19956700, E=12

n=199669: c199659(1316169640......) = 232922728283505773 * c199641(5650670720......)

# P-1 B1=199669, B2=19966900, E=12

n=199741: c199733(1053552893......) = 783071703249829237 * c199715(1345410501......)

# P-1 B1=199741

December 7, 2015 2015 年 12 月 7 日 (Maksym Voznyy)

n=172969: c172963(1605937343......) = 381303343110558079 * c172945(4211705383......)

# P-1 B1=172969

n=173189: c173181(2259013556......) = 195284739392234627 * c173164(1156779358......)

# P-1 B1=173189, B2=17318900, E=12

n=173249: c173213(1047837042......) = 1188318437187688103551 * c173191(8817813556......)

# P-1 B1=173249

n=173263: c173245(1399816115......) = 21956445490715797 * c173228(6375422270......)

# P-1 B1=173263, B2=17326300, E=12

n=173267: c173257(1433969254......) = 569111781442637717747 * c173236(2519661867......)

# P-1 B1=173267, B2=17326700, E=12

n=173359: c173335(7441876095......) = 994001815189178689 * c173317(7486783205......)

# P-1 B1=173359, B2=17335900, E=12

n=173743: c173734(2049724912......) = 41850944343757841 * c173717(4897679000......)

# P-1 B1=173743, B2=17374300, E=12

n=173773: c173764(5678541434......) = 136127568559066729 * x173747(4171485243......)

n=173773: x173747(4171485243......) = 1937505648458858352855991 * c173723(2153018364......)

# P-1 B1=173773, B2=17377300, E=12

n=173807: c173796(7570983313......) = 111836533740259613 * c173779(6769687024......)

# P-1 B1=173807

n=173933: c173910(4028594714......) = 1095272360543996773547 * c173889(3678167056......)

# P-1 B1=173933, B2=17393300, E=12

n=173969: c173945(5354191370......) = 23108064657104815391 * c173926(2317022844......)

# P-1 B1=173969, B2=17396900, E=12

n=174019: c174003(2181826287......) = 34112959984485035119 * c173983(6395886750......)

# P-1 B1=174019, B2=17401900, E=12

n=174281: c174259(8611545732......) = 9215440723675947484369 * c174237(9344692230......)

# P-1 B1=174281, B2=17428100, E=12

n=174329: c174313(3907244550......) = 12963122966575992929 * c174294(3014122877......)

# P-1 B1=174329, B2=17432900, E=12

n=174637: c174625(1699910278......) = 136713246177729777121 * c174605(1243413002......)

# P-1 B1=174637, B2=17463700, E=12

n=174703: c174692(3963851778......) = 294211698864448163 * c174675(1347278776......)

# P-1 B1=174703, B2=17470300, E=12

n=174763: c174750(2546205123......) = 43697949194711573 * c174733(5826829795......)

# P-1 B1=174763, B2=17476300, E=12

n=175327: c175318(7201550556......) = 60727749269789027 * c175302(1185874767......)

# P-1 B1=175327

n=175673: c175667(3162432327......) = 48247552144150559 * c175650(6554596424......)

# P-1 B1=175673, B2=17567300, E=12

n=180077: c180064(4004397576......) = 91021678100104231 * c180047(4399388870......)

# P-1 B1=180077, B2=18007700, E=12

n=180331: c180322(6088447768......) = 4903661904420143881 * c180304(1241612469......)

# P-1 B1=180331, B2=18033100, E=12

n=180347: c180327(1258451945......) = 2286909238840786321 * c180308(5502850414......)

# P-1 B1=180347, B2=18034700, E=12

n=180437: c180363(7698023943......) = 3044784999645291853 * c180345(2528265195......)

# P-1 B1=180437, B2=18043700, E=12

n=180949: c180929(3275260088......) = 91636490188675978679843 * c180906(3574187620......)

# P-1 B1=180949, B2=18094900, E=12

n=188983: c188963(6376191658......) = 362389029554514253 * c188946(1759488046......)

# P-1 B1=188983, B2=18898300, E=12

n=188999: c188985(1069653028......) = 860663586271978438396841 * c188961(1242823614......)

# P-1 B1=188999, B2=18899900, E=12

n=189349: c189337(2284749427......) = 656439781380707557 * c189319(3480516404......)

# P-1 B1=189349

n=189491: c189478(1074453134......) = 5673513331128198613 * c189459(1893805605......)

# P-1 B1=189491, B2=18949100, E=12

n=189593: c189575(8926481840......) = 1124022961895943547 * c189557(7941547586......)

# P-1 B1=189593, B2=18959300, E=12

n=189713: c189699(2679850787......) = 69224161019227679 * c189682(3871265101......)

# P-1 B1=189713, B2=18971300, E=12

n=189733: c189722(6061924408......) = 1173282341174824359467281 * c189698(5166637386......)

# P-1 B1=189733, B2=18973300, E=12

n=194179: c194163(4827075756......) = 4296177343117236510079 * c194142(1123574603......)

# P-1 B1=194179, B2=19417900, E=12

n=194609: c194585(1468495395......) = 14398634546783477693 * c194566(1019885177......)

# P-1 B1=194609

n=194683: c194663(2470486441......) = 65819339826525881 * c194646(3753435462......)

# P-1 B1=194683, B2=19468300, E=12

n=194713: c194705(4601938805......) = 40116945047958239 * c194689(1147130919......)

# P-1 B1=194713, B2=19471300, E=12

n=194767: c194755(9229759790......) = 196495640480164534853 * c194735(4697182984......)

# P-1 B1=194767, B2=19476700, E=12

n=194861: c194855(2851027809......) = 1896135709624437678685961 * c194831(1503599027......)

# P-1 B1=194861, B2=19486100, E=12

n=194933: c194919(1142209259......) = 632637052324805266613551 * c194895(1805473224......)

# P-1 B1=194933

n=195047: c195033(3259639928......) = 73216962685770881 * x195016(4452028340......)

n=195047: x195016(4452028340......) = 1205523213427079627 * c194998(3693025808......)

# P-1 B1=195047

n=195241: c195217(2737646318......) = 5978322206659048721 * c195198(4579288676......)

# P-1 B1=195241

n=195469: c195434(7154883665......) = 209403539094779999 * c195417(3416792140......)

# P-1 B1=195469

n=195599: c195576(1345422873......) = 24642211094156809 * c195559(5459830159......)

# P-1 B1=195599, B2=19559900, E=12

December 6, 2015 2015 年 12 月 6 日 (Maksym Voznyy)

n=159563: c159539(7650870399......) = 36087536461051643 * c159523(2120086642......)

# P-1 B1=159563, B2=15956300, E=12

n=159773: c159767(3477144554......) = 125115798377476729 * c159750(2779141083......)

# P-1 B1=159773, B2=15977300, E=12

n=159839: c159818(9542965211......) = 21771570838553093 * c159802(4383223094......)

# P-1 B1=159839, B2=15983900, E=12

n=159857: c159847(3901794426......) = 36728257478703641 * c159831(1062341285......)

# P-1 B1=159857

n=160087: c160068(1057514338......) = 17209297613555394877 * c160048(6145017435......)

# P-1 B1=160087

n=160373: c160360(9877476088......) = 101912363723015717 * c160343(9692127361......)

# P-1 B1=160373, B2=16037300, E=12

n=160453: c160435(4167218535......) = 70823310546962279 * c160418(5883964620......)

# P-1 B1=160453, B2=16045300, E=12

n=160639: c160633(1729202407......) = 515612707933837147 * c160615(3353684617......)

# P-1 B1=160639, B2=16063900, E=12

n=160663: c160635(1935361259......) = 65387713582051055760907 * c160612(2959824029......)

# P-1 B1=160663, B2=16066300, E=12

n=160669: c160646(1492594830......) = 34837277442563681 * c160629(4284476112......)

# P-1 B1=160669

n=160723: c160716(5761001510......) = 3062180812377875849 * c160698(1881339432......)

# P-1 B1=160723, B2=16072300, E=12

n=160757: c160740(4394057551......) = 6629514802860037213749083 * c160715(6628022837......)

# P-1 B1=160757, B2=16075700, E=12

n=160903: c160896(4315918128......) = 21034217854255289 * c160880(2051855770......)

# P-1 B1=160903, B2=16090300, E=12

n=172307: c172299(1151506882......) = 36902716759467841 * c172282(3120385118......)

# P-1 B1=172307, B2=17230700, E=12

n=172633: c172611(2027166911......) = 125821482223549093 * c172594(1611145311......)

# P-1 B1=172633, B2=17263300, E=12

n=172717: c172694(3682528166......) = 1135525058847731889763 * c172673(3243017965......)

# P-1 B1=172717, B2=17271700, E=12

n=178021: c178012(2676441203......) = 3049491280958848597 * c177993(8776680950......)

# P-1 B1=178021, B2=17802100, E=12

n=178393: c178383(4605475955......) = 372572266970077433569 * c178363(1236129568......)

# P-1 B1=178393, B2=17839300, E=12

n=178441: c178434(1482564148......) = 47709003530005999 * c178417(3107514387......)

# P-1 B1=178441

n=178537: c178517(1395115135......) = 11611410962566636203209 * c178495(1201503538......)

# P-1 B1=178537, B2=17853700, E=12

n=178873: c178858(2232962640......) = 22140378265839151 * c178842(1008547647......)

# P-1 B1=178873

n=193003: c192995(4642711824......) = 191525567232956797 * c192978(2424068959......)

# P-1 B1=193003, B2=19300300, E=12

n=193147: c193113(1250224140......) = 61094908619914511 * c193096(2046363876......)

# P-1 B1=193147, B2=19314700, E=12

n=193367: c193351(8820013830......) = 121481209200699323 * c193334(7260393511......)

# P-1 B1=193367, B2=19336700, E=12

n=193387: c193378(1442151493......) = 66961041218210533 * c193361(2153717246......)

# P-1 B1=193387, B2=19338700, E=12

n=193447: c193421(1169182298......) = 6202383415934166907 * c193402(1885053245......)

# P-1 B1=193447, B2=19344700, E=12

n=193507: c193499(3728550891......) = 95382987239351134707078161 * c193473(3909031368......)

# P-1 B1=193507, B2=19350700, E=12

n=193619: c193597(3460688134......) = 99166492142916787 * c193580(3489775688......)

# P-1 B1=193619, B2=19361900, E=12

n=193811: c193796(3423627674......) = 110584180983320081 * c193779(3095947037......)

# P-1 B1=193811, B2=19381100, E=12

n=193939: c193923(5993575364......) = 78756903575551027 * c193906(7610222206......)

# P-1 B1=193939

n=194087: c194074(1027988460......) = 72744055194068683 * c194057(1413158033......)

# P-1 B1=194087

n=194093: c194087(2862308915......) = 20831180423978939387 * c194068(1374050273......)

# P-1 B1=194093, B2=19409300, E=12

December 5, 2015 2015 年 12 月 5 日 (Maksym Voznyy)

n=157273: c157254(4236202827......) = 9469164790594404893 * c157235(4473681598......)

# P-1 B1=157273, B2=15727300, E=12

n=157427: c157421(1176322925......) = 60217605312091111 * c157404(1953453510......)

# P-1 B1=157427

n=157561: c157541(6172502889......) = 4644704400589192591 * c157523(1328933416......)

# P-1 B1=157561, B2=15756100, E=12

n=157999: c157977(2037514771......) = 342887044179418961 * c157959(5942233182......)

# P-1 B1=157999

n=158017: c157996(1023043284......) = 141166184733633271 * c157978(7247084609......)

# P-1 B1=158017, B2=15801700, E=12

n=158591: c158573(3212062718......) = 1150966751593408111 * c158555(2790751960......)

# P-1 B1=158591, B2=15859100, E=12

n=159013: c159003(5601690622......) = 123944675936433431 * c158986(4519508870......)

# P-1 B1=159013, B2=15901300, E=12

n=159233: c159220(2738860768......) = 524657930967712414787 * c159199(5220278980......)

# P-1 B1=159233, B2=15923300, E=12

n=159389: c159362(1417719236......) = 269650425999338625918317 * c159338(5257619122......)

# P-1 B1=159389

n=159403: c159383(2729651656......) = 47475441241679947 * c159366(5749607766......)

# P-1 B1=159403

n=170701: c170679(2383385217......) = 49587262435948031 * c170662(4806446454......)

# P-1 B1=170701, B2=17070100, E=12

n=170801: c170770(1676080906......) = 208485847398344071 * c170752(8039303037......)

# P-1 B1=170801

n=170881: c170873(9288928872......) = 1026069361571138431 * c170855(9052924899......)

# P-1 B1=170881

n=170953: c170940(5752613574......) = 52131901681858397557 * c170921(1103472804......)

# P-1 B1=170953

n=171103: c171096(4058632465......) = 2464074944031621773 * c171078(1647122168......)

# P-1 B1=171103, B2=17110300, E=12

n=171163: c171154(1217011238......) = 19712771869354356643 * c171134(6173719490......)

# P-1 B1=171163, B2=17116300, E=12

n=171293: c171287(1081100833......) = 62826083491350481 * c171270(1720783427......)

# P-1 B1=171293

n=171329: c171316(3396261171......) = 2080195240160206363 * c171298(1632664619......)

# P-1 B1=171329

n=171383: c171374(1714226579......) = 33047551659227043405881 * c171351(5187151523......)

# P-1 B1=171383

n=171541: c171519(1039850128......) = 45171236165747061959 * c171499(2302018313......)

# P-1 B1=171541, B2=17154100, E=12

n=171653: c171635(2354357832......) = 9832264878179276300561 * c171613(2394522382......)

# P-1 B1=171653, B2=17165300, E=12

n=171851: c171833(5526166249......) = 46815507797247199 * c171817(1180413608......)

# P-1 B1=171851, B2=17185100, E=12

n=171917: c171910(2692943983......) = 167471231024165839 * c171893(1608003933......)

# P-1 B1=171917

n=188473: c188450(2712429086......) = 90029236658597437 * c188433(3012831372......)

# P-1 B1=188473, B2=18847300, E=12

December 4, 2015 2015 年 12 月 4 日 (Maksym Voznyy)

n=154727: c154698(1095202972......) = 4955205415129735999 * c154679(2210207006......)

# P-1 B1=154727, B2=15472700, E=12

n=154823: c154800(3295166939......) = 1638946857474554529089 * c154779(2010539221......)

# P-1 B1=154823, B2=15482300, E=12

n=154871: c154848(2758532973......) = 144889041388561523 * x154831(1903893453......)

n=154871: x154831(1903893453......) = 25384697693315486017363 * c154808(7500162011......)

# P-1 B1=154871, B2=15487100, E=12

n=154937: c154917(3993052729......) = 82624184474571823333841 * c154894(4832789278......)

# P-1 B1=154937, B2=15493700, E=12

n=154981: c154951(4312964807......) = 143504723744641267 * c154934(3005451454......)

# P-1 B1=154981

n=155201: c155190(9007290892......) = 98128064567620313561081 * c155167(9179118056......)

# P-1 B1=155201, B2=15520100, E=12

n=155219: c155197(4387538836......) = 226018049222681961212843 * c155174(1941233831......)

# P-1 B1=155219, B2=15521900, E=12

n=155269: c155257(1842085919......) = 24560166245744587 * c155240(7500299064......)

# P-1 B1=155269, B2=15526900, E=12

n=155387: c155366(5246665875......) = 61022533162427424769 * c155346(8597915562......)

# P-1 B1=155387, B2=15538700, E=12

n=155413: c155403(3851637249......) = 1827972699029964238987 * c155382(2107054034......)

# P-1 B1=155413

n=155569: c155563(1785557092......) = 59691949369388881 * c155546(2991286281......)

# P-1 B1=155569, B2=15556900, E=12

n=155723: c155713(1174012214......) = 723206185384668637 * c155695(1623343713......)

# P-1 B1=155723, B2=15572300, E=12

n=156041: c156029(2852057773......) = 48773338888543921 * c156012(5847575414......)

# P-1 B1=156041, B2=15604100, E=12

n=156071: c156060(1211179889......) = 28492207611231311 * c156043(4250916271......)

# P-1 B1=156071, B2=15607100, E=12

n=156227: c156203(2477886599......) = 55170989013531613951 * c156183(4491285445......)

# P-1 B1=156227, B2=15622700, E=12

n=156703: c156676(5156436667......) = 35621892016602071 * c156660(1447547105......)

# P-1 B1=156703

n=156817: c156794(9695814196......) = 36638139280065609323 * c156775(2646371892......)

# P-1 B1=156817

n=157189: c157180(6379631248......) = 98915682744975850759 * c157160(6449564994......)

# P-1 B1=157189, B2=15718900, E=12

n=168089: c168069(2878813613......) = 24545140335245126027 * c168050(1172865004......)

# P-1 B1=168089, B2=16808900, E=12

n=168523: c168495(4279815700......) = 439991136470276557 * c168477(9727049809......)

# P-1 B1=168523, B2=16852300, E=12

n=168893: c168882(1995083313......) = 20094652289591147201 * c168862(9928429140......)

# P-1 B1=168893, B2=16889300, E=12

n=169069: c169060(2496937206......) = 23334239329041253 * c169044(1070074396......)

# P-1 B1=169069

n=169751: c169733(2545265884......) = 76673533578733079 * c169716(3319614691......)

# P-1 B1=169751, B2=16975100, E=12

n=169859: c169849(4325732840......) = 43779770670599921 * c169832(9880665829......)

# P-1 B1=169859, B2=16985900, E=12

n=169937: c169929(6054046666......) = 326704745888039933 * c169912(1853063581......)

# P-1 B1=169937, B2=16993700, E=12

n=170243: c170223(1723379060......) = 325587215234857814399705969 * c170196(5293141069......)

# P-1 B1=170243, B2=17024300, E=12

n=186629: c186618(7843775262......) = 513938114289066076867 * c186598(1526210071......)

# P-1 B1=186629, B2=18662900, E=12

n=186679: c186669(2803838182......) = 8606138848831740163 * c186650(3257951367......)

# P-1 B1=186679, B2=18667900, E=12

n=186689: c186682(3306481725......) = 3911790825063577277 * c186663(8452603612......)

# P-1 B1=186689

n=187091: c187081(8930647517......) = 6617323196882038051340689 * c187057(1349586116......)

# P-1 B1=187091, B2=18709100, E=12

n=187217: c187191(9555335664......) = 318240106287503801 * c187174(3002555452......)

# P-1 B1=187217, B2=18721700, E=12

n=187219: c187204(9675158718......) = 675767039433862040071234483 * c187178(1431729894......)

# P-1 B1=187219, B2=18721900, E=12

n=187631: c187614(1840808907......) = 59174915789281116272479 * c187591(3110792610......)

# P-1 B1=187631, B2=18763100, E=12

n=187721: c187702(2384930449......) = 2425864395795767616187 * c187680(9831260369......)

# P-1 B1=187721, B2=18772100, E=12

December 3, 2015 2015 年 12 月 3 日 (Maksym Voznyy)

n=139939: c139930(1186131981......) = 13110784653748062809005228997 * c139901(9046994615......)

# P-1 B1=139939, B2=13993900, E=12

n=150151: c150126(3768374686......) = 25693555075749677 * x150110(1466661454......)

n=150151: x150110(1466661454......) = 10520987669535378525927317 * c150085(1394034002......)

# P-1 B1=150151, B2=15015100, E=12

n=150587: c150576(6213605912......) = 7949058009834310093 * x150557(7816782698......)

n=150587: x150557(7816782698......) = 519041823604897911577681 * c150534(1506002472......)

# P-1 B1=150587, B2=15058700, E=12

n=150989: c150977(5414012203......) = 24422431847986129 * c150961(2216819453......)

# P-1 B1=150989, B2=15098900, E=12

n=151253: c151221(7695871077......) = 59239496091718556759 * c151202(1299111502......)

# P-1 B1=151253, B2=15125300, E=12

n=151433: c151399(1616525915......) = 3064009043369287961 * x151380(5275852298......)

n=151433: x151380(5275852298......) = 3959136767271200311 * c151362(1332576419......)

# P-1 B1=151433, B2=15143300, E=12

n=151531: c151523(1636733535......) = 5351761001975184631 * c151504(3058308349......)

# P-1 B1=151531, B2=15153100, E=12

n=163363: c163340(8012981524......) = 62555010505716185311 * c163321(1280949593......)

# P-1 B1=163363, B2=16336300, E=12

n=163411: c163391(3533476322......) = 17009296513378769081 * c163372(2077379460......)

# P-1 B1=163411

n=163517: c163496(7963342610......) = 2472496490070459773 * c163478(3220770036......)

# P-1 B1=163517, B2=16351700, E=12

n=163741: c163730(1238828885......) = 18060313577439241771951 * c163707(6859398536......)

# P-1 B1=163741

n=163853: c163847(3390562640......) = 1367012171118118401619009 * c163823(2480272459......)

# P-1 B1=163853

n=163981: c163968(1891453647......) = 1660422632024470830437 * c163947(1139139886......)

# P-1 B1=163981

n=164039: c164029(8628607623......) = 2861711967863184563 * c164011(3015190808......)

# P-1 B1=164039

n=164113: c164105(5642002028......) = 167188229174580917 * c164088(3374640700......)

# P-1 B1=164113, B2=16411300, E=12

n=164309: c164300(5488901383......) = 26646702907114547 * c164284(2059880129......)

# P-1 B1=164309

n=164621: c164615(3374744827......) = 228328746121710179597 * c164595(1478020128......)

# P-1 B1=164621

n=164653: c164647(1687047038......) = 3880943892922731152129 * c164625(4347001876......)

# P-1 B1=164653, B2=16465300, E=12

n=164953: c164929(1416869755......) = 88646794105281001 * c164912(1598331637......)

# P-1 B1=164953, B2=16495300, E=12

n=165211: c165204(1868168120......) = 3903186134088280643 * c165185(4786264494......)

# P-1 B1=165211, B2=16521100, E=12

n=165233: c165226(5603756265......) = 51916654392685613 * c165210(1079375458......)

# P-1 B1=165233, B2=16523300, E=12

n=165247: c165234(1695424979......) = 3134912921658196867 * c165215(5408204380......)

# P-1 B1=165247

n=165617: c165603(1830256369......) = 3197572211360436732140241769 * c165575(5723893779......)

# P-1 B1=165617, B2=16561700, E=12

n=182773: c182760(2335004748......) = 61487460220285159 * c182743(3797530001......)

# P-1 B1=182773, B2=18277300, E=12

n=182821: c182781(5892357362......) = 1575739484325858641 * c182763(3739423566......)

# P-1 B1=182821, B2=18282100, E=12

n=182921: c182894(1419341026......) = 235915948442990567329 * c182873(6016299599......)

# P-1 B1=182921, B2=18292100, E=12

n=182953: c182942(3497584197......) = 400542366162321413 * c182924(8732120477......)

# P-1 B1=182953, B2=18295300, E=12

n=183047: c183039(7782161547......) = 7518847684722014755999 * c183018(1035020507......)

# P-1 B1=183047, B2=18304700, E=12

n=183383: c183361(2786106171......) = 89790838633012001 * c183344(3102884674......)

# P-1 B1=183383, B2=18338300, E=12

n=183439: c183431(3738959725......) = 130083286926052027 * c183414(2874281404......)

# P-1 B1=183439

n=183577: c183558(1065790277......) = 76726415146210961 * c183541(1389078684......)

# P-1 B1=183577

n=183797: c183790(2518881472......) = 267843141463512621119 * c183769(9404315745......)

# P-1 B1=183797, B2=18379700, E=12

n=183959: c183946(6348898886......) = 500059269521704619521 * c183926(1269629276......)

# P-1 B1=183959, B2=18395900, E=12

n=184003: c183985(1014918868......) = 592181498837357663477 * c183964(1713864533......)

# P-1 B1=184003, B2=18400300, E=12

n=184007: c183978(1166862273......) = 60323422671451879 * c183961(1934343613......)

# P-1 B1=184007, B2=18400700, E=12

n=184043: c184023(4382250105......) = 20309752968690763 * c184007(2157707241......)

# P-1 B1=184043

n=184259: c184221(8823296914......) = 392984394436553613086191 * c184198(2245202873......)

# P-1 B1=184259, B2=18425900, E=12

n=184273: c184252(3983074583......) = 1725249225156964367680559 * c184228(2308695187......)

# P-1 B1=184273, B2=18427300, E=12

n=184511: c184502(2343160856......) = 1588210719524823488855603 * c184478(1475346330......)

# P-1 B1=184511, B2=18451100, E=12

n=184553: c184545(2447379199......) = 4584952594672769453 * c184526(5337850608......)

# P-1 B1=184553, B2=18455300, E=12

n=152063: c152055(1764954802......) = 48178587473247962557 * c152035(3663359377......)

# P-1 B1=152063, B2=15206300, E=12

n=152077: c152054(1345675766......) = 1125495704798823741797 * c152033(1195629410......)

# P-1 B1=152077, B2=15207700, E=12

n=152123: c152101(4392143005......) = 1920836443835477723 * c152083(2286578339......)

# P-1 B1=152123

n=152293: c152272(1149732956......) = 8558727623002226477 * c152253(1343345654......)

# P-1 B1=152293, B2=15229300, E=12

n=152429: c152402(1078495761......) = 714170283735486719 * c152384(1510138108......)

# P-1 B1=152429

n=152899: c152864(1571702770......) = 21206281803766321 * c152847(7411496201......)

# P-1 B1=152899

n=153059: c153026(1372652103......) = 34885380231159877 * c153009(3934748866......)

# P-1 B1=153059, B2=15305900, E=12

n=153913: c153906(2406361322......) = 5291856329044143281 * c153887(4547291484......)

# P-1 B1=153913, B2=15391300, E=12

n=154079: c154069(4165496710......) = 150901916300858602751 * c154049(2760400141......)

# P-1 B1=154079, B2=15407900, E=12

n=154277: c154263(4762929833......) = 92857786800672401 * c154246(5129273480......)

# P-1 B1=154277, B2=15427700, E=12

n=154387: c154379(1537803706......) = 6734189682846348414585304280201 * c154348(2283576463......)

# P-1 B1=154387, B2=15438700, E=12

n=165931: c165925(1116036178......) = 10617519506604537927791 * c165903(1051127034......)

# P-1 B1=165931, B2=16593100, E=12

n=166169: c166146(1020302432......) = 1431560493089094436361 * c166124(7127204457......)

# P-1 B1=166169

n=166189: c166169(2126292162......) = 227409044712764111 * c166151(9350077371......)

# P-1 B1=166189

n=166219: c166203(1723826288......) = 7991223465194078093 * c166184(2157149397......)

# P-1 B1=166219, B2=16621900, E=12

n=166351: c166329(3154455825......) = 33535956934557401 * c166312(9406189992......)

# P-1 B1=166351, B2=16635100, E=12

n=166403: c166394(4755861834......) = 5447972160783052736551 * c166372(8729600105......)

# P-1 B1=166403, B2=16640300, E=12

n=166657: c166649(1666763313......) = 541094571946409954027173 * c166625(3080354896......)

# P-1 B1=166657

n=166867: c166857(1419333877......) = 2351364754226983951 * c166838(6036213118......)

# P-1 B1=166867

n=166919: c166889(6326181186......) = 8598739552832122046919523 * c166864(7357102918......)

# P-1 B1=166919, B2=16691900, E=12

n=167021: c166975(4164678613......) = 152983486727849622407231 * c166952(2722305983......)

# P-1 B1=167021, B2=16702100, E=12

n=167119: c167105(1867490246......) = 378348142989501071 * c167087(4935904355......)

# P-1 B1=167119, B2=16711900, E=12

n=167213: c167207(3322432432......) = 7920288861534425279 * c167188(4194837449......)

# P-1 B1=167213, B2=16721300, E=12

n=167393: c167372(2932369843......) = 607318635087954614972034161 * c167345(4828387725......)

# P-1 B1=167393

n=167663: c167648(1715537963......) = 68077364726808163 * c167631(2519982920......)

# P-1 B1=167663

n=167879: c167869(1785508666......) = 47872296082468478376281 * c167846(3729732669......)

# P-1 B1=167879, B2=16787900, E=12

n=168037: c168025(4144120300......) = 62290291379135116130843 * c168002(6652915259......)

# P-1 B1=168037, B2=16803700, E=12

n=184829: c184812(1100329105......) = 658503829944875192894885089 * c184785(1670953236......)

# P-1 B1=184829, B2=18482900, E=12

n=185099: c185093(3001388742......) = 4667444263747095841 * c185074(6430475808......)

# P-1 B1=185099

n=185693: c185687(2991787841......) = 497579844697366357 * c185669(6012678916......)

# P-1 B1=185693

n=185813: c185784(1519087372......) = 30807260120632210452723253 * c185758(4930939544......)

# P-1 B1=185813, B2=18581300, E=12

n=185833: c185807(3689379997......) = 53052282582614317 * c185790(6954234234......)

# P-1 B1=185833

n=185897: c185879(2307656322......) = 61934795899356883 * c185862(3725944825......)

# P-1 B1=185897, B2=18589700, E=12

n=185917: c185897(4673609040......) = 15537962659072580791 * c185878(3007864765......)

# P-1 B1=185917

n=185993: c185985(2597365364......) = 87040724406528001 * c185968(2984080591......)

# P-1 B1=185993

n=186007: c185997(3727840015......) = 40644236269726853 * c185980(9171878616......)

# P-1 B1=186007

n=186107: c186097(1273578466......) = 9816173303167699001 * c186078(1297428668......)

# P-1 B1=186107

n=186229: c186198(4329027020......) = 17917266378741437 * c186182(2416120254......)

# P-1 B1=186229

n=186301: c186276(1439699517......) = 599343340378111837 * c186258(2402128163......)

# P-1 B1=186301, B2=18630100, E=12

n=186311: c186265(2720314535......) = 200871170965315130107 * c186245(1354258315......)

# P-1 B1=186311

n=186377: c186341(1916975164......) = 220708170081808185991 * c186320(8685565031......)

# P-1 B1=186377, B2=18637700, E=12

December 2, 2015 2015 年 12 月 2 日 (Ray Chandler)

n=86340M: p11491(7801769750......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/#CERT_PHI_86340M_10

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

December 2, 2015 2015 年 12 月 2 日 (Maksym Voznyy)

n=75403: c75382(6701689082......) = 5091773938340293 * c75367(1316179619......)

# P-1 B1=75403, B2=7540300, E=12

n=75989: c75966(9833975641......) = 50126757233209 * c75953(1961821626......)

# P-1 B1=75989, B2=7598900, E=12

n=77047: c77014(2295789582......) = 164647294690304071 * c76997(1394368238......)

# P-1 B1=77047, B2=7704700, E=12

n=139343: c139306(7979792738......) = 254222979975483991 * c139289(3138895130......)

# P-1 B1=139343, B2=13934300, E=12

n=139457: c139445(9987377098......) = 1961319163728419281 * c139427(5092173310......)

# P-1 B1=139457

n=139663: c139631(5732332897......) = 187172404907649257563 * c139611(3062595098......)

# P-1 B1=139663, B2=13966300, E=12

n=139747: c139732(3254102186......) = 7587682929952179956203 * c139710(4288663900......)

# P-1 B1=139747, B2=13974700, E=12

n=161137: c161109(1228986740......) = 59714874251970083 * c161092(2058091482......)

# P-1 B1=161137

n=161237: c161225(2960288636......) = 68228816234375178637 * c161205(4338765935......)

# P-1 B1=161237

n=161471: c161453(1659195909......) = 998887973756206937900947 * c161429(1661043033......)

# P-1 B1=161471, B2=16147100, E=12

n=161729: c161718(3521230964......) = 694657292170360645237 * c161697(5069018930......)

# P-1 B1=161729, B2=16172900, E=12

n=161831: c161816(1657271849......) = 77284869230870351 * c161799(2144367799......)

# P-1 B1=161831, B2=16183100, E=12

n=161923: c161917(1715490380......) = 1127688405076068991 * c161899(1521245029......)

# P-1 B1=161923, B2=16192300, E=12

n=162059: c162053(3428096196......) = 274339273170439891313111 * c162030(1249582736......)

# P-1 B1=162059, B2=16205900, E=12

n=162209: c162198(3408677299......) = 1047377797705203065921 * c162177(3254486878......)

# P-1 B1=162209, B2=16220900, E=12

n=162287: c162263(2323728533......) = 96536511209861385079 * c162243(2407098106......)

# P-1 B1=162287, B2=16228700, E=12

n=162293: c162273(1024637181......) = 20047655958385387 * x162256(5111007410......)

n=162293: x162256(5111007410......) = 7797465327991794187 * c162237(6554703606......)

# P-1 B1=162293, B2=16229300, E=12

n=162343: c162324(8451199073......) = 27465064567469938853 * c162305(3077072348......)

# P-1 B1=162343

n=162553: c162547(1708841735......) = 183906711210702197 * c162529(9291894373......)

# P-1 B1=162553

n=162611: c162603(4380089195......) = 78958540088975489 * c162586(5547327990......)

# P-1 B1=162611, B2=16261100, E=12

n=181063: c181053(1226044808......) = 452892711319461323 * c181035(2707141841......)

# P-1 B1=181063

n=181157: c181147(3928151193......) = 6693240893546465123 * c181128(5868832836......)

# P-1 B1=181157, B2=18115700, E=12

n=181409: c181386(3422021144......) = 119786574391724479 * c181369(2856765177......)

# P-1 B1=181409, B2=18140900, E=12

n=181523: c181516(4372175874......) = 47538145033557391 * c181499(9197194951......)

# P-1 B1=181523, B2=18152300, E=12

n=182111: c182103(3588991055......) = 326165827235554907 * c182086(1100357779......)

# P-1 B1=182111

n=182261: c182255(3048123468......) = 90660123900915596373273079 * c182229(3362143506......)

# P-1 B1=182261, B2=18226100, E=12

n=182389: c182374(2853387039......) = 37679931592165615336027 * c182351(7572696972......)

# P-1 B1=182389, B2=18238900, E=12

n=182681: c182672(2964058376......) = 23749390064596290763 * c182653(1248056631......)

# P-1 B1=182681

n=182711: c182700(2134925235......) = 729684587495171911957 * c182679(2925819281......)

# P-1 B1=182711, B2=18271100, E=12

December 1, 2015 2015 年 12 月 1 日 (Maksym Voznyy)

n=80737: c80686(1337919247......) = 184408270903391 * c80671(7255201954......)

# P-1 B1=80737, B2=8073700, E=12

n=81869: c81850(6154086792......) = 650604303528169 * c81835(9459031794......)

# P-1 B1=81869, B2=8186900, E=12

n=89611: c89605(1239925758......) = 8249729848458387785371453363 * c89577(1502989529......)

# P-1 B1=89611, B2=8961100, E=12

n=119099: c119088(1964048051......) = 685713514857674139574601 * c119064(2864239960......)

# P-1 B1=119099, B2=11909900, E=12

n=133781: c133756(2259531610......) = 205669063152374416249 * c133736(1098624934......)

# P-1 B1=133781, B2=13378100, E=12

n=134033: c133996(7620482575......) = 34408970675005027 * c133980(2214679028......)

# P-1 B1=134033, B2=13403300, E=12

n=134153: c134136(1838933491......) = 118648461658298946281 * c134116(1549900829......)

# P-1 B1=134153, B2=13415300, E=12

n=134593: c134564(6509446933......) = 58270161230664049 * c134548(1117114968......)

# P-1 B1=134593, B2=13459300, E=12

n=134753: c134742(5133697114......) = 649164900714030559 * x134724(7908155706......)

n=134753: x134724(7908155706......) = 54593016859492881391 * c134705(1448565432......)

# P-1 B1=134753, B2=13475300, E=12

n=134851: c134842(7953230341......) = 616012872142309711 * c134825(1291081842......)

# P-1 B1=134851, B2=13485100, E=12

n=135007: c134999(1594966243......) = 1372290186150301969 * c134981(1162266012......)

# P-1 B1=135007, B2=13500700, E=12

n=135301: c135267(1356555402......) = 1289375461271976917 * c135249(1052102698......)

# P-1 B1=135301, B2=13530100, E=12

n=135367: c135356(4467792321......) = 4122402061906136284267 * c135335(1083783739......)

# P-1 B1=135367, B2=13536700, E=12

n=135727: c135717(3126477072......) = 577565890821329145569 * c135696(5413195485......)

# P-1 B1=135727, B2=13572700, E=12

n=135829: c135806(2195036401......) = 25975274870531117 * c135789(8450483826......)

# P-1 B1=135829, B2=13582900, E=12

n=135859: c135837(1774229478......) = 58514271847032409 * c135820(3032131175......)

# P-1 B1=135859, B2=13585900, E=12

n=136397: c136370(7265410763......) = 4694690219786438453 * c136352(1547580441......)

# P-1 B1=136397, B2=13639700, E=12

n=136501: c136467(1267657079......) = 8102523793973460427 * c136448(1564521267......)

# P-1 B1=136501, B2=13650100, E=12

n=136859: c136843(8425813553......) = 148096765226536210351 * c136823(5689397429......)

# P-1 B1=136859, B2=13685900, E=12

n=136999: c136992(2896556130......) = 1177505510435435749826070105283 * c136962(2459908769......)

# P-1 B1=136999, B2=13699900, E=12

n=137567: c137519(1741051057......) = 675190003110027290569 * c137498(2578609057......)

# P-1 B1=137567, B2=13756700, E=12

n=137623: c137616(8073580024......) = 55025517472762003 * x137600(1467242907......)

n=137623: x137600(1467242907......) = 5086601957622914631601 * c137578(2884524717......)

# P-1 B1=137623, B2=13762300, E=12

n=138179: c138160(2059109202......) = 18938214181042643 * c138144(1087277386......)

# P-1 B1=138179

n=138181: c138165(1517621019......) = 116795860553787757 * c138148(1299379115......)

# P-1 B1=138181

n=138389: c138368(1340995080......) = 12226657473012425557 * c138349(1096779788......)

# P-1 B1=138389

n=138493: c138486(2674288817......) = 134633263917822883 * c138469(1986350727......)

# P-1 B1=138493, B2=13849300, E=12

n=138497: c138487(2871585893......) = 148947404505043279 * c138470(1927919390......)

# P-1 B1=138497, B2=13849700, E=12

n=138547: c138535(1875521548......) = 18614484334695253 * c138519(1007560303......)

# P-1 B1=138547, B2=13854700, E=12

n=149213: c149200(2970526250......) = 162645248319697237 * c149183(1826383667......)

# P-1 B1=149213, B2=14921300, E=12

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