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December 26, 2012 2012 年 12 月 26 日 (Maksym Voznyy)

n=24506: c12229(2442643018......) = 6764106160188632251 * c12210(3611183740......)

n=24746: c12356(1506128889......) = 20348055369207161 * c12339(7401832078......)

n=25078: c12494(8129679515......) = 12746425463614237 * c12478(6378007339......)

n=25394: c12688(6258642829......) = 14353064351189072143 * c12669(4360492419......)

n=25682: c12832(3923083157......) = 718041767999419 * c12817(5463586287......)

n=25778: c12860(1353165964......) = 10129356180912607 * c12844(1335885459......)

n=26654: c13298(6557531405......) = 698008058742521 * c13283(9394635667......)

n=27134: c13551(3479357589......) = 1994717989486459 * c13536(1744285462......)

n=27862: c13924(4130168198......) = 273100661869487 * c13910(1512324492......)

n=28058: c14019(4100488167......) = 11226064522083157 * c14003(3652649741......)

n=28318: c14150(2721510236......) = 1614736877651717 * c14135(1685420253......)

n=29734: c14866(9090909090......) = 19090716829721804807 * c14847(4761952718......)

n=29858: c14928(9090909090......) = 8676589071283093 * c14913(1047751485......)

n=30166: c15046(1042801850......) = 6144582521219023379 * c15027(1697107731......)

n=31546: c15760(1191628090......) = 1708350083457471701087 * c15738(6975315552......)

n=31646: c15811(5402143648......) = 18692123473409333 * c15795(2890064179......)

n=31874: c15927(4160184644......) = 1261266466056419 * c15912(3298418499......)

n=32954: c16449(9383619558......) = 277610375938522997 * c16432(3380140071......)

n=33122: c16516(1195431282......) = 5322615434818529 * c16500(2245947122......)

n=33686: c16834(2660934982......) = 97936056336607 * c16820(2717012591......)

n=33802: c16883(4531096731......) = 208737933710419 * c16869(2170710733......)

n=34982: c17475(2645384223......) = 99168128915533 * c17461(2667575008......)

n=35362: c17660(6321824897......) = 11520034806827611 * c17644(5487678643......)

n=35846: c17896(1037857502......) = 1155038941330973 * x17880(8985476292......)

n=35846: x17880(8985476292......) = 17139535022505527 * c17864(5242543791......)

n=36578: c18255(4923573743......) = 2670231882627527 * c18240(1843874974......)

n=37046: c18515(5577162381......) = 298060828380169 * c18501(1871149057......)

n=38242: c19096(1933660328......) = 3718546490969851 * c19080(5200043439......)

n=38278: c19110(5444326690......) = 31246327380811 * c19097(1742389313......)

n=38314: c19136(1485797342......) = 26280266196771127 * c19119(5653661691......)

n=39518: c19744(2415056853......) = 13678245067322663 * c19728(1765618938......)

n=39986: c19988(1136747288......) = 597507587564047 * c19973(1902481762......)

n=43058: c21515(1068737763......) = 6914236459859 * x21502(1545706123......)

n=43058: x21502(1545706123......) = 7447170164931331 * c21486(2075561708......)

n=43114: c21548(2670095889......) = 11314386540851 * x21535(2359912205......)

n=43114: x21535(2359912205......) = 66737870523529939 * c21518(3536091557......)

n=43474: c21719(2382649676......) = 29798920479445699 * c21702(7995758363......)

n=43546: c21745(3663557184......) = 5476386110971 * c21732(6689735001......)

n=43634: c21810(2510175435......) = 235276586783023 * c21796(1066904050......)

n=43742: c21870(9090909090......) = 3469283316660983 * c21855(2620399737......)

n=43762: c21875(2308163350......) = 84465258686009 * c21861(2732677773......)

n=43922: c21947(7333321430......) = 11025523739449 * c21934(6651222748......)

n=43982: c21979(1974903331......) = 4631920819443059 * x21963(4263681112......)

n=43982: x21963(4263681112......) = 60884826393449 * c21949(7002863217......)

n=43994: c21990(3279994822......) = 115353735859811 * c21976(2843423143......)

n=44026: c21995(5337572711......) = 118369758307093 * x21981(4509236807......)

n=44026: x21981(4509236807......) = 132575200280507093 * c21964(3401267204......)

n=45098: c22544(1007894840......) = 550229491192099 * c22529(1831771754......)

n=45274: c22620(1367447727......) = 11539350737209 * c22607(1185030040......)

n=45382: c22681(2117074541......) = 8300671264225961681 * c22662(2550485947......)

n=45394: c22690(1907302031......) = 273299158026299 * c22675(6978806832......)

n=45502: c22746(1997870270......) = 22414774483007 * c22732(8913184791......)

n=45622: c22805(4981620311......) = 22260695265990429929 * c22786(2237854771......)

n=45718: c22852(5523537755......) = 268130429953213 * c22838(2060018982......)

n=45802: c22895(2205359066......) = 20681815419809 * c22882(1066327603......)

n=46142: c23064(1990103256......) = 15853937762567 * c23051(1255273791......)

n=46286: c23136(9820355259......) = 1594767491479009 * c23121(6157860196......)

n=46318: c23149(5269178343......) = 18647665429213 * c23136(2825650408......)

n=46406: c23197(3264978824......) = 7248406055855609 * c23181(4504409383......)

n=46418: c23196(4802466692......) = 26860786776877 * c23183(1787909912......)

n=46622: c23310(9090909090......) = 23466379182562529 * c23294(3874014401......)

n=46738: c23353(3327361624......) = 3960021862972463 * c23337(8402381955......)

n=46894: c23425(1991278553......) = 698640991198099 * c23410(2850217177......)

n=47018: c23497(1683722643......) = 4449812906251 * c23484(3783805474......)

n=47126: c23548(9461698823......) = 187669958773889 * c23534(5041669367......)

n=47206: c23570(5317301219......) = 219037999979309143 * c23553(2427570202......)

n=47342: c23652(1025852841......) = 30260571847783 * c23638(3390064293......)

n=47486: c23709(2261566550......) = 30399959281229173 * c23692(7439373618......)

n=47654: c23818(3547212080......) = 10978885400807 * c23805(3230940073......)

n=47662: c23808(1673385708......) = 87497367644419 * c23794(1912498344......)

n=47666: c23820(1026992646......) = 69816563036917 * c23806(1470987114......)

n=47714: c23841(4423622594......) = 4399137338264214179 * c23823(1005565922......)

n=47818: c23892(4126736571......) = 1428828716298173 * c23877(2888195432......)

n=47822: c23902(4642219498......) = 1959634885832333 * c23887(2368920625......)

n=47914: c23951(6324418643......) = 18569681643699847 * c23935(3405776558......)

n=47962: c23948(1625010790......) = 165414778863847 * c23933(9823854930......)

n=48046: c24012(4468663827......) = 529234258494197 * c23997(8443640515......)

n=48086: c24024(4213412844......) = 139217651026507847161 * c24004(3026493274......)

n=48098: c24042(1173962879......) = 26180203188899 * c24028(4484162597......)

n=48302: c24144(5377419280......) = 62444025042653 * c24130(8611583377......)

n=48406: c24198(1878015388......) = 17465052575197 * c24185(1075299018......)

n=48742: c24359(2031168335......) = 15887537079013 * c24346(1278466464......)

n=48758: c24378(9090909090......) = 115758283436484281 * c24361(7853355130......)

n=48826: c24405(1970263673......) = 5559526837691 * x24392(3543941293......)

n=48826: x24392(3543941293......) = 702158461876379 * c24377(5047210118......)

n=48838: c24407(2395021035......) = 15981439294087 * c24394(1498626620......)

n=48962: c24465(9809763412......) = 4341224983819 * c24453(2259676346......)

n=49018: c24494(1096946057......) = 34436552845979 * c24480(3185411913......)

n=49246: c24606(9404013875......) = 64233000560063 * c24593(1464047108......)

n=49718: c24852(1498765758......) = 43705710496087 * c24838(3429221815......)

n=49814: c24898(2965021451......) = 1975858941367007 * c24883(1500624052......)

n=49846: c24914(4875164687......) = 17631537936583 * c24901(2765025209......)

n=49886: c24931(3670749764......) = 22775465907239807 * c24915(1611712260......)

n=50026: c25005(5540355927......) = 3031333042185491 * c24990(1827696215......)

n=50234: c25102(3055073780......) = 266339863350381449 * c25085(1147058402......)

n=50522: c25252(9246639796......) = 22300024710877 * c25239(4146470650......)

n=50686: c25332(7776475054......) = 22487744235419 * c25319(3458094761......)

n=50698: c25327(4565854627......) = 51205866910813 * c25313(8916663076......)

n=50894: c25435(3224592701......) = 27000561014252557 * x25419(1194268778......)

n=50894: x25419(1194268778......) = 45919165736412557 * c25402(2600806785......)

n=51082: c25534(1678933430......) = 110163238200133 * c25520(1524041465......)

n=51386: c25678(3172825852......) = 1342537448546783 * c25663(2363305288......)

n=51494: c25720(7997793986......) = 120523086160042939 * c25703(6635902084......)

n=51746: c25861(6794601405......) = 732555119834327 * c25846(9275208406......)

n=51878: c25918(4754227994......) = 11167861102361 * c25905(4257062252......)

n=51962: c25971(7857759935......) = 180402032372167 * x25957(4355693687......)

n=51962: x25957(4355693687......) = 225531040076339 * c25943(1931305635......)

n=52166: c26071(8614884168......) = 22627172717659 * c26058(3807317987......)

n=52354: c26163(9201927305......) = 2008010576805001 * c26148(4582608982......)

n=52498: c26230(5085292026......) = 778833099906538940089811 * c26206(6529373272......)

n=52594: c26284(4868655358......) = 2282710678869133 * c26269(2132839436......)

n=52642: c26312(1297858704......) = 231163542636491 * x26297(5614461043......)

n=52642: x26297(5614461043......) = 2883427987756042733 * c26279(1947148001......)

n=52874: c26426(1033253457......) = 1980189899143847 * c26410(5217951360......)

n=52958: c26465(5267277113......) = 96325850131619 * c26451(5468186479......)

n=53114: c26551(3423155800......) = 17326264719773 * c26538(1975703278......)

n=53182: c26585(2848984180......) = 259688664339641 * c26571(1097076835......)

n=53366: c26672(8449911008......) = 73508583487063 * c26659(1149513513......)

n=53462: c26672(3948249101......) = 16402441882848887 * c26656(2407110556......)

n=53554: c26771(5658371305......) = 195055213171321 * c26757(2900907498......)

n=53698: c26844(1692938246......) = 97193731131223 * c26830(1741818352......)

n=54062: c27021(2352472671......) = 25061869499281 * c27007(9386660766......)

n=54218: c27093(1890907484......) = 374386654201237 * c27078(5050680796......)

n=54518: c27250(1727269499......) = 47677620584453681 * c27233(3622809776......)

n=55166: c27564(2913075436......) = 13008119795779 * x27551(2239428512......)

n=55166: x27551(2239428512......) = 667289766518213 * c27536(3356006078......)

n=55294: c27639(2899654366......) = 10536756849557 * c27626(2751941995......)

n=55486: c27738(1638385403......) = 2290876520802997 * c27722(7151783996......)

n=55558: c27758(9941011105......) = 1183868100737899 * c27743(8397059689......)

n=55838: c27900(7797862350......) = 29455585317779 * c27887(2647328941......)

n=55882: c27928(4043234686......) = 503221133976481 * c27913(8034707633......)

n=56458: c28219(1753274636......) = 157784631474721 * c28205(1111182135......)

n=56578: c28270(3424336371......) = 519727110288961 * c28255(6588719934......)

n=56986: c28487(2278977368......) = 1160388318842663 * c28472(1963978205......)

n=57262: c28618(5601035885......) = 20170554731693 * c28605(2776837801......)

n=57374: c28675(7991566055......) = 4453616620214693 * c28660(1794399189......)

n=57674: c28824(2139323594......) = 2037133845897757 * c28809(1050163492......)

n=58126: c29053(2716127370......) = 3522354193374481 * c29037(7711113707......)

n=58726: c29343(2609636611......) = 99744444414847 * c29329(2616322770......)

n=58874: c29430(8578490139......) = 27830911333727 * x29417(3082360486......)

n=58874: x29417(3082360486......) = 97666629542893 * c29403(3156001697......)

n=58906: c29435(1793733090......) = 94866573609503 * c29421(1890795695......)

n=59174: c29575(4796012044......) = 48420579227659 * c29561(9904904321......)

n=59518: c29752(3117186285......) = 306085348154041 * c29738(1018404279......)

n=59522: c29739(4084313303......) = 239404730386847 * c29725(1706028655......)

n=59606: c29788(6672228102......) = 5045373077476889 * c29773(1322444941......)

n=29959: c29927(5429652450......) = 13190487628707287495957 * c29905(4116339443......)

n=60142: c30047(2070158731......) = 1428229127065207 * c30032(1449458418......)

n=30113: c30080(8187760652......) = 735856874969735369 * c30063(1112683856......)

n=60362: c30168(3651837483......) = 103252356074114383 * c30151(3536807897......)

n=30181: c30131(3293553928......) = 714395326166977597 * c30113(4610268024......)

n=60394: c30172(1005323805......) = 164821934209947788453 * c30151(6099453998......)

n=30253: c30225(6998836593......) = 123072896962411889 * c30208(5686740758......)

n=60542: c30260(3180796387......) = 105973940111653 * c30246(3001489218......)

n=30271: c30252(1732813747......) = 917528913046448237 * c30234(1888565823......)

n=30319: c30286(7668995873......) = 584566482908570757613 * c30266(1311911664......)

n=60782: c30373(1497837193......) = 64646062418579 * c30359(2316981324......)

n=30713: c30698(1281366013......) = 34571232414499831 * c30681(3706451647......)

n=61718: c30848(3439305220......) = 21643280213293 * c30835(1589086860......)

n=61786: c30883(1939002931......) = 68166582450091 * c30869(2844506592......)

n=30941: c30935(4488811860......) = 3965884516527283055738191 * c30911(1131856422......)

n=62038: c30998(1655411690......) = 399302039686117 * c30983(4145763170......)

n=62158: c31063(3231922648......) = 2343084323242809143 * x31045(1379345427......)

n=62158: x31045(1379345427......) = 68046867380927 * c31031(2027052061......)

n=62366: c31176(4164771522......) = 5998186513044601 * c31160(6943384493......)

n=62446: c31215(1511737533......) = 1911711107971451 * c31199(7907771874......)

n=62674: c31329(4228883891......) = 5516318791737314329 * c31310(7666133977......)

n=62786: c31387(2895830322......) = 11465071936729 * c31374(2525784695......)

n=63254: c31599(3539176340......) = 963128700068677 * c31584(3674666054......)

n=64102: c32038(3115937688......) = 28789197037453 * c32025(1082328793......)

n=64126: c32050(2127114292......) = 28883683900171 * c32036(7364414800......)

n=64474: c32231(4700014523......) = 130557257178091 * c32217(3599964203......)

n=64718: c32353(1276994221......) = 407874579759487 * c32338(3130850228......)

n=64882: c32426(2448182152......) = 114004807516373 * c32412(2147437643......)

n=64958: c32473(6997474611......) = 22019800231853 * c32460(3177810215......)

n=65122: c32555(3489939725......) = 35041410476037887 * c32538(9959472743......)

n=65126: c32544(7282587979......) = 26130561509369 * c32531(2787000186......)

n=65566: c32776(9243510200......) = 209548365379103 * c32762(4411158342......)

n=32831: c32781(9282768968......) = 53061719717726820521 * c32762(1749428593......)

n=65678: c32829(5763985623......) = 456697260182508529 * c32812(1262102080......)

n=65834: c32899(3644730465......) = 127510114030253 * x32885(2858385386......)

n=65834: x32885(2858385386......) = 236244680473453573 * c32868(1209925819......)

n=32969: c32948(1082342001......) = 8832794157530976648649 * c32926(1225367627......)

n=65942: c32970(9090909090......) = 6902930938276754461291 * c32949(1316963645......)

n=65986: c32986(4444200112......) = 336216653230567 * c32972(1321826289......)

n=33013: c32985(2809760573......) = 9084881641141135759 * c32966(3092787209......)

n=66166: c33072(9698960636......) = 8978440896153346249 * c33054(1080249984......)

n=66382: c33177(1744759955......) = 4184618199043211 * c33161(4169460323......)

n=66398: c33179(8201360861......) = 128595889601161 * c33165(6377622867......)

n=33199: c33173(1965918538......) = 922221931431077 * c33158(2131719569......)

n=66602: c33295(1516620108......) = 16757775708197 * c33281(9050247093......)

n=66754: c33364(5158058953......) = 11816627396573 * x33351(4365085552......)

n=66754: x33351(4365085552......) = 16314578804081 * c33338(2675573550......)

n=33521: c33504(1838523487......) = 850011483657771941321 * c33483(2162939587......)

n=33599: c33593(1033429266......) = 430479597777875311 * c33575(2400646330......)

n=67246: c33618(1351868349......) = 307066970967064207 * c33600(4402519572......)

n=33623: c33611(5725757253......) = 1013798642146414287403 * c33590(5647824938......)

n=67258: c33616(1508495147......) = 7836670511812367 * c33600(1924918426......)

n=33629: c33611(2739132979......) = 274066428987224162313613 * c33587(9994412630......)

n=67406: c33676(7359364251......) = 1272431169998117 * x33661(5783703216......)

n=67406: x33661(5783703216......) = 182807820479651 * c33647(3163816078......)

n=67502: c33733(2525768145......) = 82607452970717 * c33719(3057554803......)

n=67922: c33943(7686534866......) = 29521801469401 * c33930(2603680833......)

n=68506: c34247(1895744300......) = 34817877666995807 * c34230(5444743986......)

n=68998: c34488(1992347392......) = 62487948588613 * c34474(3188370618......)

n=69026: c34498(5034836624......) = 20079373490801 * x34485(2507466991......)

n=69026: x34485(2507466991......) = 25552688347451 * c34471(9812928322......)

n=69038: c34503(2404181880......) = 125348787743651 * c34489(1917993722......)

n=69182: c34569(1257992750......) = 27408797048632211874971 * c34546(4589740835......)

n=69206: c34546(1108265104......) = 45508062230053 * c34532(2435315963......)

n=69406: c34695(1709942556......) = 319728436406321 * c34680(5348109089......)

n=69458: c34705(8861751597......) = 172739914125607 * c34691(5130112309......)

n=69478: c34720(1705181523......) = 523724275643800823 * c34702(3255876427......)

n=69698: c34840(5225675229......) = 251730620719649 * c34826(2075899711......)

n=69754: c34859(1389318387......) = 52047639059681 * c34845(2669320670......)

n=69794: c34885(1330487617......) = 381569627125087 * c34870(3486880303......)

n=69922: c34952(2877711450......) = 387163837185623 * c34937(7432800209......)

n=70222: c35095(1426056837......) = 105711660829259 * c35081(1349006180......)

n=70298: c35133(3918067212......) = 407329595579611 * c35118(9618911207......)

n=70706: c35343(1423673478......) = 149295786382819 * c35328(9535925380......)

n=70838: c35398(1246162492......) = 1943886834264139 * x35382(6410674068......)

n=70838: x35382(6410674068......) = 431490374234372161 * c35365(1485705000......)

n=70874: c35406(5161668549......) = 17930899313893 * c35393(2878644545......)

n=70898: c35434(1160641421......) = 18307806346997 * c35420(6339598526......)

n=71662: c35817(4785629494......) = 110981806137133 * x35803(4312084711......)

n=71662: x35803(4312084711......) = 12871365625140797 * x35787(3350137690......)

n=71662: x35787(3350137690......) = 313539861982979 * c35773(1068488602......)

n=71678: c35833(6341447638......) = 65265126744889 * c35819(9716441160......)

n=71822: c35895(5548454938......) = 649003846881331 * c35880(8549186518......)

n=71846: c35913(5758055371......) = 239725082420807 * c35899(2401941137......)

n=71954: c35968(5266500412......) = 695214845170242503 * c35950(7575356666......)

n=72218: c36098(2377571707......) = 38179955288357 * c36084(6227277349......)

n=72262: c36118(2689958080......) = 16954078644721 * c36105(1586614133......)

n=72434: c36206(6738510370......) = 19595309235724933 * x36190(3438838494......)

n=72434: x36190(3438838494......) = 3118184354740849 * c36175(1102833605......)

n=72502: c36246(1253866611......) = 52808266223121961 * c36229(2374375643......)

n=72526: c36236(9929474803......) = 133575801103049 * c36222(7433588061......)

n=72934: c36455(1582422087......) = 14648624182583 * c36442(1080253044......)

n=72938: c36460(1648662151......) = 81656353099133 * c36446(2019024961......)

n=72946: c36467(2077081749......) = 245875279306183 * c36452(8447704689......)

n=72986: c36472(7640817255......) = 12193025905927 * c36459(6266547217......)

n=73058: c36503(2277011796......) = 42064943649121 * c36489(5413086525......)

n=36671: c36662(1645993557......) = 402982008593278766147 * c36641(4084533608......)

n=73894: c36934(1094609115......) = 209092934449877 * c36919(5235036365......)

n=74098: c37044(1226859888......) = 11937062681155219 * c37028(1027773684......)

n=75214: c37600(3554917629......) = 21894476618172167 * c37584(1623659561......)

n=75566: c37773(2366469801......) = 3597155516540063 * c37757(6578725302......)

n=75694: c37827(6055586631......) = 27679508891743 * c37814(2187750749......)

n=75814: c37894(7216692757......) = 4447725668216009 * c37879(1622557975......)

n=41893: c41893(1111111111......) = 195145734382744883 * c41875(5693750440......)

n=42937: c42937(1111111111......) = 57777842553776683733 * c42917(1923074767......)

n=43651: c43603(4030632057......) = 13338256260008096323 * c43584(3021858314......)

n=91373: c91358(1145678445......) = 4687682441672839117 * c91339(2444018893......)

n=93377: c93369(1996509155......) = 3090092000190937639 * c93350(6461002311......)

n=94907: c94860(6890149164......) = 7743307434976851203 * c94841(8898199151......)

n=95713: c95706(2523647141......) = 26325236984093 * c95692(9586417562......)

n=95783: c95768(2436329754......) = 140977207234519 * c95754(1728172803......)

n=96233: c96217(1080793270......) = 76732678555994609 * c96200(1408517583......)

n=96451: c96411(1402728404......) = 89473681419049 * c96397(1567755324......)

n=96557: c96550(8219499430......) = 388400651846053687517 * c96530(2116242439......)

n=96601: c96594(1643152092......) = 94856343049157 * c96580(1732253257......)

n=97283: c97260(8097850689......) = 84148466308787 * c97246(9623289698......)

n=97453: c97422(1749737501......) = 135012085522729 * c97408(1295985832......)

n=97813: c97799(2089215321......) = 410913417525033677 * c97781(5084320034......)

n=98639: c98618(6765964502......) = 53296680704231 * c98605(1269490784......)

n=98717: c98705(9333631386......) = 29805546613307 * x98692(3131508208......)

n=98717: x98692(3131508208......) = 45125194802053 * c98678(6939600420......)

n=99023: c99023(1111111111......) = 308662976183113441 * c99005(3599755062......)

n=99277: c99264(2841289732......) = 503429654620769 * c99249(5643866438......)

n=99563: c99536(1615561891......) = 20736820525361267 * c99519(7790788800......)

n=99767: c99743(3556259632......) = 47262776147453 * c99729(7524440843......)

# Prime95 (mostly 30 ECM curves with B1=2000)

# 74852 of 100000 Phi_n(10) factorizations were cracked.

# 7396 of 9592 R_prime factorizations were cracked.

December 24, 2012 2012 年 12 月 24 日 (Alfred Reich)

n=4100L: c792(9374546414......) = 614939742141873776083575656007497578501 * p754(1524465857......)

# P-1

# n=4100M is not factored yet.

December 23, 2012 2012 年 12 月 23 日 (Alfred Reich)

n=6820L: c1177(4564368588......) = 925323140307633681633371781508201 * c1144(4932729323......)

# P-1

December 21, 2012 2012 年 12 月 21 日 (Alfred Reich)

n=15060L: c2001(2529932837......) = 4023390167353450430944384261 * c1973(6288062384......)

# P-1

n=17700L: c2270(1183732438......) = 30171563533965565991912883301 * c2241(3923338069......)

# P-1

n=22814: c9594(1071181063......) = 47595399962548423283180653 * c9568(2250597882......)

# P-1

n=23472: c7766(1067658284......) = 83329197622096458699649 * c7743(1281253528......)

# P-1

n=23516: c11732(1126372991......) = 14141651994390341809 * c11712(7964932185......)

# P-1

December 19, 2012 2012 年 12 月 19 日 (Alfred Reich)

n=23838: c7606(1695766241......) = 10381319523378778543 * c7587(1633478516......)

# P-1

n=23844: c7912(1394306913......) = 2418762683730759890869 * c7890(5764546156......)

# P-1

n=23846: c11904(4445475717......) = 4922768618056759025913089 * c11879(9030438078......)

# P-1

December 18, 2012 2012 年 12 月 18 日 (Alfred Reich)

n=21260L: c4210(7572135563......) = 771879670730676701 * c4192(9809994809......)

n=23060L: c4585(1088438857......) = 54113560731065543242741 * c4562(2011397591......)

n=23420L: c4672(5112404176......) = 6944824648375441 * c4656(7361458978......)

# P-1

n=23460L: c2792(3245771191......) = 173065131791219861817967501 * c2766(1875462236......)

# P-1

n=23600: c9262(4649148653......) = 806505328443694432801 * c9241(5764560368......)

# P-1

n=23606: c10040(5283788032......) = 179531491777691018681 * c10020(2943098160......)

# P-1

n=23608: c10824(1769395769......) = 387091546688172769 * c10806(4571000798......)

# P-1

n=23776: c11867(1401972013......) = 517877141452790143169 * c11846(2707151757......)

# P-1

December 17, 2012 2012 年 12 月 17 日 (Alfred Reich)

n=14814: c4911(8093316000......) = 82858986431553573337377601 * c4885(9767577844......)

n=14822: c7390(1267796414......) = 10861560081367659562013 * c7368(1167232335......)

# P-1

December 15, 2012 2012 年 12 月 15 日 (Alfred Reich)

n=16214: c7261(1000000000......) = 15046577238352837 * c7244(6646029752......)

# P-1

n=16290: c4276(3967702259......) = 501662682945077131 * c4258(7909103854......)

# P-1

# 74843 of 100000 Phi_n(10) factorizations were cracked.

December 14, 2012 2012 年 12 月 14 日 (Alfred Reich)

n=18700L: c3190(2429807993......) = 6538906843040948851759042001 * c3162(3715923856......)

# P-1

December 12, 2012 2012 年 12 月 12 日 (Alfred Reich)

n=15758: c7874(2884446200......) = 2066781150481172761 * c7856(1395622463......)

# P-1

n=15838: c7918(9090909090......) = 91940852987404721448111935161 * c7889(9887779801......)

# P-1

n=15856: c7920(9999999900......) = 40466977944661833416141089 * c7895(2471150653......)

# P-1

n=18372: c6121(1009998990......) = 7931170196445066889 * c6102(1273455196......)

# P-1

n=23868: c6890(6652050042......) = 649739992460747447747966869 * c6864(1023801846......)

n=23890: c9517(7794179034......) = 125891534079506859361 * c9497(6191186001......)

# 74842 of 100000 Phi_n(10) factorizations were cracked.

December 11, 2012 2012 年 12 月 11 日 (Alfred Reich)

n=15708: c3821(2027252507......) = 829416408393351503341 * c3800(2444191466......)

# P-1

n=17112: c5274(6283079859......) = 545867140161697033 * x5257(1151027309......)

# P-1

n=17112: x5257(1151027309......) = 350041927943434359055486801 * c5230(3288255543......)

# P-1

n=17120: c6769(7291534181......) = 17861505228792961 * c6753(4082261874......)

# P-1

n=21922: c10733(2406064820......) = 945550359660130139357009 * c10709(2544618375......)

# P-1

n=21950: c8736(1013353841......) = 1243437019941379451 * c8717(8149619363......)

# P-1

n=21958: c10971(4836606401......) = 1206405855318121 * c10956(4009103884......)

# P-1

December 23, 2012 2012 年 12 月 23 日 (Ray Chandler)

n=26570: p10625(1099989000......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_26570_10

December 23, 2012 2012 年 12 月 23 日 (Kurt Beschorner)

n=3469: c3445(1156787439......) = 24264858844410787900761037227067 * c3413(4767336365......)

# ECM B1=1e6, sigma=3827956100

n=95383: c95377(2912228067......) = 390889096832889133 * c95359(7450266816......)

# mfactc

December 17, 2012 2012 年 12 月 17 日 (Kurt Beschorner)

n=3437: c2911(2783077261......) = 19187944409615008463884430602187 * c2880(1450430125......)

# ECM B1=1e6, sigma=2277017944

n=3461: c3445(1563432945......) = 135899181643526101680071594638151813 * c3410(1150435879......)

# ECM B1=1e6, sigma=1173368736

December 14, 2012 2012 年 12 月 14 日 (Ray Chandler)

n=20644: p9505(1009999999......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_20644_10

December 9, 2012 2012 年 12 月 9 日 (Kurt Beschorner)

n=3457: c3387(2497644282......) = 762137258735034621280713986561 * c3357(3277158089......)

# ECM B1=1e6, sigma=1602248512

December 9, 2012 2012 年 12 月 9 日 (Maksym Voznyy)

n=41513: c41496(4972596597......) = 442876437337132957 * c41479(1122795474......)

n=43321: c43314(1603020115......) = 22413190633213344551 * c43294(7152128145......)

# Prime95

December 8, 2012 2012 年 12 月 8 日 (Maksym Voznyy)

n=27283: c27256(1034384104......) = 2087442306885431 * c27240(4955270386......)

n=27457: c27451(1686135631......) = 75026106675809684159 * c27431(2247398547......)

n=27539: c27534(2017304437......) = 12960789596583994493 * c27515(1556467237......)

n=27673: c27652(2642670628......) = 69540868836799 * c27638(3800169126......)

n=27701: c27664(6691781911......) = 158821144867395323 * c27647(4213407425......)

n=29443: c29437(9434344978......) = 7539781820801999803871 * c29416(1251275594......)

n=29483: c29452(1773854105......) = 112925854234003 * x29438(1570813094......)

n=29483: x29438(1570813094......) = 64967772085745791 * x29421(2417834326......)

n=29483: x29421(2417834326......) = 84530147497215180349639 * c29398(2860321906......)

n=29537: c29502(6281186407......) = 1186932636283494203 * c29484(5291948519......)

n=29567: c29556(4944922565......) = 1967681385072358759 * c29538(2513070765......)

n=29989: c29981(4940082749......) = 405537691110344453 * c29964(1218156254......)

n=30983: c30970(3827608813......) = 2923998664373533 * c30955(1309032340......)

n=31069: c31033(1743717082......) = 332419227486557 * c31018(5245536173......)

n=31091: c31078(2313692800......) = 4119242133735551117 * c31059(5616792423......)

n=31121: c31107(6424880492......) = 19168128597388591 * x31091(3351855899......)

n=31121: x31091(3351855899......) = 1997615807891911 * x31076(1677928201......)

n=31121: x31076(1677928201......) = 631640532307439 * c31061(2656460622......)

n=31237: c31215(1800423335......) = 7062245002968763 * c31199(2549364025......)

n=31327: c31288(4142274330......) = 21224666512474987 * c31272(1951632233......)

n=31649: c31612(2961731901......) = 883153559608679 * c31597(3353586552......)

n=32143: c32123(3881515654......) = 6885920356311969209 * c32104(5636887233......)

n=32159: c32144(1952000239......) = 708990545434643 * c32129(2753210536......)

n=32533: c32519(3094378988......) = 9545535561992301889 * c32500(3241702854......)

n=33547: c33530(1601444712......) = 123311838438947 * c33516(1298695026......)

n=34231: c34224(7056344843......) = 217388988224967763 * c34207(3245953210......)

n=34961: c34937(1426454712......) = 292386711882037 * c34922(4878657800......)

n=35401: c35383(2063249867......) = 127852428487157893 * c35366(1613774483......)

n=35933: c35902(7165135031......) = 1554873395320853 * c35887(4608179066......)

n=36097: c36091(1026041023......) = 16330409705670976871 * c36071(6283008462......)

n=36877: c36869(5478216559......) = 754558564607114237 * c36851(7260160862......)

n=36899: c36899(1111111111......) = 96363563598411799 * c36882(1153040702......)

n=37501: c37477(1280663115......) = 30493401210683 * c37463(4199804102......)

n=37511: c37497(7279282829......) = 2677690975486609 * c37482(2718492498......)

n=37799: c37799(1111111111......) = 144090553023108359 * c37781(7711200268......)

n=37871: c37855(6259906190......) = 197702243226599 * c37841(3166330380......)

n=38183: c38183(1111111111......) = 543643622176714357 * c38165(2043822581......)

n=38201: c38186(1654630512......) = 7769083521907067 * c38170(2129762806......)

n=38231: c38218(3405896809......) = 2378380877647921 * c38203(1432023289......)

n=39043: c39030(9202233022......) = 9094368582432546557 * c39012(1011860574......)

n=39191: c39157(3449904801......) = 2363454064509919 * c39142(1459687689......)

n=39233: c39219(2685066410......) = 89174415561437 * c39205(3011027763......)

n=39251: c39228(1044432078......) = 877296162277631 * c39213(1190512535......)

n=39419: c39407(5257771477......) = 32991716834267 * c39394(1593664101......)

n=39631: c39604(2323581540......) = 508172998868243 * c39589(4572422276......)

n=39761: c39748(3702407391......) = 3616623655883356357 * c39730(1023719287......)

n=40127: c40100(1770205611......) = 911899469633363 * c40085(1941228907......)

n=40193: c40143(1228237372......) = 33665002618733 * c40129(3648410149......)

n=40283: c40253(7331447548......) = 1381630282136831 * c40238(5306374391......)

n=40471: c40450(2497477764......) = 3109142151678961 * x40434(8032690827......)

n=40471: x40434(8032690827......) = 852530816103623399 * c40416(9422170643......)

n=40627: c40617(4851708519......) = 186204612681415561 * c40600(2605579125......)

n=41113: c41098(1019477712......) = 958068365734470911 * c41080(1064097040......)

n=41143: c41143(1111111111......) = 15830274385075079 * c41126(7018899888......)

n=42359: c42341(2946454223......) = 22804415045759 * c42328(1292054287......)

n=42379: c42357(4599719099......) = 9039823460940667 * c42341(5088284211......)

n=44453: c44441(4043165448......) = 1458331186521121039 * c44423(2772460388......)

n=44983: c44963(2324753618......) = 380655947952420773 * c44945(6107230507......)

n=46273: c46238(1034336578......) = 53293164961943262338201 * c46215(1940842843......)

n=46633: c46633(1111111111......) = 3214499054036203 * c46617(3456560703......)

n=46681: c46659(2393512515......) = 20752677762082477 * c46643(1153351168......)

n=47041: c47026(8301157927......) = 85969919528492471 * c47009(9655886586......)

n=47659: c47599(3100705253......) = 100862189903083535387 * c47579(3074199812......)

n=47737: c47719(8413032875......) = 5420283545636563 * c47704(1552138888......)

n=48623: c48611(1617266877......) = 3302960436858276839 * c48592(4896416134......)

n=49019: c48990(2477465853......) = 1213342956223523 * c48975(2041851267......)

n=49069: c49069(1111111111......) = 7342353245213027 * c49053(1513290186......)

n=49663: c49633(1510568508......) = 1034454662998067 * c49618(1460255884......)

n=49711: c49696(1896496727......) = 1552370710664363 * c49681(1221677730......)

n=49801: c49780(5808447878......) = 1586570440810471 * c49765(3661008505......)

n=9497: c9447(2415820943......) = 870476157426983212960197107401561 * c9414(2775286747......)

# Prime95 (mostly by 30 ECM curves with B1=2000)

# 74839 of 100000 Phi_n(10) factorizations were cracked.

# 7393 of 9592 R_prime factorizations were cracked.

December 8, 2012 2012 年 12 月 8 日 (ThrasherX-17)

# via yoyo@home

n=2220L: c274(5279940537......) = 3685934032886198733503120219424401631090149156941 * p226(1432456601......)

# ECM B1=260000000, sigma=1240072393

# 1055 of 100000 Phi_n(10) factorizations were finished.

December 6, 2012 2012 年 12 月 6 日 (Kurt Beschorner)

n=95279: c95272(2776584540......) = 170109945330959 * c95258(1632229400......)

# mfactc

December 5, 2012 2012 年 12 月 5 日 (Maksym Voznyy)

n=13007: c12991(1959777875......) = 143613200646043 * x12977(1364622379......)

n=13007: x12977(1364622379......) = 353861762203123 * c12962(3856371400......)

n=13313: c13276(1953281389......) = 6443998963513169 * c13260(3031163413......)

n=13451: c13419(6156895992......) = 152829187570114877 * c13402(4028612656......)

n=13463: c13449(2898476794......) = 167081888626960837 * c13432(1734764203......)

n=13789: c13765(2340196555......) = 3024594726714293 * c13749(7737223553......)

n=13873: c13859(3457415479......) = 153130070951357 * c13845(2257829215......)

n=14947: c14896(1657367474......) = 8139106842535983317 * c14877(2036301410......)

n=15137: c15117(7126550136......) = 2580524240467093 * c15102(2761667580......)

n=15299: c15287(3405183228......) = 948405555945041 * c15272(3590429439......)

n=15401: c15387(7956769160......) = 1028434912592453 * c15372(7736774649......)

n=15583: c15577(4456405436......) = 6025639208399 * c15564(7395738912......)

n=15649: c15644(1775022942......) = 131028803924951 * c15630(1354681481......)

n=15803: c15789(2303594575......) = 10729657312742978969 * c15770(2146941424......)

n=15971: c15948(4009401168......) = 5083874618437493 * c15932(7886506786......)

n=16673: c16652(3543134509......) = 630558688716959 * c16637(5619040024......)

n=16883: c16859(6923652362......) = 3542318779217293 * c16844(1954553724......)

n=16903: c16895(3197205683......) = 22079636817919 * c16882(1448033638......)

n=17389: c17372(9265352294......) = 4828666512519973 * c17357(1918822157......)

n=17881: c17863(4210795960......) = 64535580495644561 * c17846(6524766536......)

n=17971: c17961(4503066730......) = 3612514232118563 * c17946(1246518751......)

n=17977: c17955(4209647514......) = 40122906496573 * c17942(1049188077......)

n=18253: c18242(2452129638......) = 193023261385679 * c18228(1270380378......)

n=18443: c18427(2452225527......) = 6366427808754757 * c18411(3851807640......)

n=18979: c18955(2064066354......) = 4139225689762321 * c18939(4986600175......)

n=19181: c19168(1410989683......) = 40650934520831 * c19154(3470989535......)

n=19913: c19878(2980541809......) = 48871130420128519 * c19861(6098778120......)

n=20693: c20658(4589077614......) = 286740211315458643 * x20641(1600430436......)

n=20693: x20641(1600430436......) = 86288651794621547 * c20624(1854740342......)

n=21023: c21016(3620010272......) = 481968447783671 * c21001(7510886427......)

n=21277: c21263(2672704399......) = 40502661332270853613 * c21243(6598836500......)

n=21673: c21673(1111111111......) = 1763608950848339627 * c21654(6300212473......)

n=22079: c22074(2516160037......) = 740189498677819544083 * c22053(3399345765......)

n=22621: c22609(5934048868......) = 277723278825569 * c22595(2136676800......)

n=23059: c23037(7740190056......) = 185933542786133 * c23023(4162879887......)

n=23173: c23166(3995708768......) = 38778665765443 * c23153(1030388408......)

n=23917: c23873(1668753817......) = 901409020952003 * c23858(1851272595......)

n=24571: c24565(4522024293......) = 240395082814519 * c24551(1881080195......)

n=24847: c24837(1060580861......) = 25238570154023437 * c24820(4202222451......)

n=24989: c24965(1608905767......) = 109919077519740439 * c24948(1463718404......)

n=25303: c25295(2840376915......) = 154771556322295042877 * c25275(1835206017......)

n=25423: c25393(2232697226......) = 1607056895161092241 * c25375(1389308140......)

n=26083: c26044(1943866410......) = 972031737501919 * c26029(1999797265......)

n=26647: c26601(4349397722......) = 20510460550702723 * c26585(2120575358......)

n=26717: c26686(1076247347......) = 408821120653391 * c26671(2632562979......)

n=28031: c28016(9805405751......) = 289937708852946991 * c27999(3381900819......)

n=28099: c28093(9885594020......) = 384539223997511591 * c28076(2570763501......)

n=28571: c28524(6855837991......) = 434490381060809 * c28510(1577903283......)

n=28619: c28599(5058565777......) = 38207091085835789147 * c28580(1323986106......)

n=28669: c28635(5582902593......) = 5842552906333631 * x28619(9555587570......)

n=28669: x28619(9555587570......) = 94615693703705347 * c28603(1009936850......)

n=28843: c28816(2215649641......) = 2510694508942483 * c28800(8824847600......)

n=29129: c29106(3578362065......) = 494433874500057281 * c29088(7237291475......)

n=29201: c29185(3203482428......) = 2707209532721849 * c29170(1183315288......)

n=30169: c30137(4888813785......) = 20192321796917 * c30124(2421125135......)

n=32203: c32174(1451251782......) = 2789615249764705893191 * c32152(5202336711......)

n=32257: c32231(3760393250......) = 112641472063591 * c32217(3338373675......)

n=32443: c32402(1188331364......) = 8274567314998660001 * c32383(1436125079......)

n=32467: c32448(5758406261......) = 2482848384536358089 * c32430(2319274224......)

n=3919: c3880(1812216329......) = 1402793086781263393997880089 * c3853(1291862888......)

n=6481: c6481(1111111111......) = 10465053798330278511643840129 * c6453(1061734734......)

# Prime95 (mostly by ECM, 30 curves with B1=2000)

# 74833 of 100000 Phi_n(10) factorizations were cracked.

# 7387 of 9592 R_prime factorizations were cracked.

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