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April 27, 2013 2013 年 4 月 27 日 (Maksym Voznyy)

n=47248: c23606(4048067634......) = 7068916866673 * c23593(5726574114......)

n=45776: c22875(1213637879......) = 43371743681249 * c22861(2798222475......)

n=51344: c25653(3367451768......) = 21530294754049 * c25640(1564052794......)

n=53104: c26534(6021672101......) = 30954076790561 * x26521(1945356710......)

n=53168: c26565(6901707513......) = 84773542517777 * c26551(8141346118......)

n=57296: c28624(3352348559......) = 88846596280433 * c28610(3773187380......)

n=57712: c28835(1601249282......) = 10597382736481 * c28822(1510985610......)

n=58768: c29353(3364479369......) = 38997677054849 * c29339(8627384047......)

n=59728: c29851(1046409288......) = 34339495491841 * x29837(3047247122......)

n=62896: c31436(1589900933......) = 12872990863969 * c31423(1235067242......)

n=66064: c33002(5796495032......) = 10439513349569 * x32989(5552457129......)

n=67664: c33793(6465976622......) = 74914599659489 * c33779(8631130182......)

n=69712: c34831(4450807311......) = 55069115768593 * c34817(8082220404......)

n=72368: c36156(7670349780......) = 10106188739489 * x36143(7589755127......)

n=79504: c39734(8818609949......) = 83971271960593 * c39721(1050193684......)

n=80048: c39987(4290373406......) = 20865215622401 * x39974(2056232479......)

n=87536: c43753(1205049690......) = 34171629652801 * c43739(3526462457......)

n=88304: c44133(1943089023......) = 42696463886737 * c44119(4550936651......)

n=90352: c45148(6794938544......) = 59236976963377 * c45135(1147077196......)

n=90448: c45207(2004764602......) = 41984012445601 * c45193(4775066711......)

n=40624: c20299(2051328317......) = 763736766706721 * c20284(2685910128......)

n=43856: c21911(7452330905......) = 930621328450673 * c21896(8007908993......)

n=44848: c22398(1038192480......) = 467798252948129 * c22383(2219316711......)

n=46448: c23210(3777095428......) = 295039219355057 * c23196(1280201132......)

n=53296: c26617(7450790539......) = 890399777474257 * c26602(8367915995......)

n=53936: c26945(1122634605......) = 185960367503633 * x26930(6036956265......)

n=54256: c27105(6532837401......) = 144330380306513 * c27091(4526307896......)

n=56464: c28218(5366784807......) = 117496719005297 * c28204(4567603974......)

n=58096: c29035(2458978073......) = 445212004909393 * c29020(5523162102......)

n=60752: c30346(1802310371......) = 436779117125777 * c30331(4126365710......)

n=65488: c32731(2544989018......) = 265217647921729 * c32716(9595850948......)

n=66064: x32989(5552457129......) = 137146255066577 * c32975(4048566347......)

n=69808: c34880(2072126247......) = 842769941425921 * c34865(2458709245......)

n=72752: c36362(5976225320......) = 405412959374561 * c36348(1474108111......)

n=80176: c40076(1247240467......) = 328998482203681 * c40061(3791021951......)

n=83632: c41790(1080406064......) = 328613149380641 * c41775(3287774899......)

n=84944: c42459(5886196222......) = 149466194950577 * c42445(3938145494......)

n=88432: c44197(1451031884......) = 530555084061601 * c44182(2734931637......)

n=89456: c44710(1784192535......) = 208013350908641 * c44695(8577298174......)

n=90512: c45234(1183363970......) = 159324631759169 * x45219(7427376152......)

n=44048: c21996(7652463404......) = 1549810284255841 * c21981(4937677522......)

n=50672: c25321(1586395840......) = 3405900141853873 * c25305(4657787292......)

n=53936: x26930(6036956265......) = 6742976199368113 * c26914(8952955026......)

n=57968: c28961(2610164184......) = 1445422216512929 * c28946(1805814352......)

n=69232: c34604(1444397888......) = 2332141989949601 * c34588(6193438883......)

n=75568: c37776(9999999900......) = 5556631766035633 * c37761(1799651357......)

n=76624: c38291(8276081050......) = 1621173032600929 * x38276(5104995508......)

n=81712: c40827(2260380543......) = 2162218097512769 * x40812(1045398956......)

n=83344: c41651(9813424615......) = 5463748133504497 * c41636(1796097546......)

n=87088: c43531(1640374185......) = 4823899884797569 * c43515(3400514573......)

n=88048: c44016(9999999900......) = 4629038625491537 * c44001(2160275752......)

n=90512: x45219(7427376152......) = 1457084685429281 * c45204(5097422425......)

n=93008: c46460(5551823479......) = 8732809386111953 * c46444(6357431193......)

n=45712: c22841(6434144758......) = 49391125111254737 * c22825(1302692486......)

n=51056: c25495(8061893865......) = 13132699325910097 * c25479(6138794215......)

n=54928: c27456(9999999900......) = 13773432649543153 * c27440(7260354157......)

n=55856: c27914(9946200899......) = 18926548148357233 * c27898(5255158426......)

n=58288: c29125(8379680808......) = 19289489628474673 * c29109(4344169270......)

n=60464: c30219(8269314969......) = 17471461095515057 * c30203(4733041458......)

n=62768: c31369(5710280955......) = 15038494794086209 * c31353(3797109374......)

n=64112: c32025(3913018474......) = 55997658776817601 * c32008(6987825133......)

n=68144: c34051(8764736461......) = 24511425160169921 * c34035(3575775951......)

n=70256: c35113(3471624176......) = 89293451850451361 * x35096(3887882150......)

n=77776: c38866(2361758695......) = 32782945711132129 * c38849(7204229651......)

n=79088: c39526(5618969854......) = 11121589442660321 * c39510(5052308290......)

n=79216: c39576(1038553938......) = 80464979812096289 * c39559(1290690610......)

n=85616: c42793(3684561279......) = 19285724226620641 * c42777(1910512271......)

n=90544: c45264(9999999900......) = 10236189373366049 * c45248(9769260351......)

n=93776: c46871(1201273984......) = 15231391119760273 * c46854(7886830392......)

n=52336: c26147(4526697951......) = 528552145456187521 * c26129(8564335591......)

n=58192: c29071(4516545008......) = 159504576553825777 * c29054(2831608412......)

n=67216: c33586(3465003637......) = 709759334041170209 * x33568(4881941626......)

n=68048: c34009(1915972441......) = 343839592841408929 * c33991(5572285685......)

n=70256: x35096(3887882150......) = 172695170147179969 * c35079(2251297559......)

n=71216: c35584(3574860985......) = 438837758129375681 * c35566(8146201915......)

n=71888: c35931(2318415849......) = 197543098900030529 * c35914(1173625331......)

n=76624: x38276(5104995508......) = 223565725769443313 * c38259(2283442818......)

n=80368: c40176(9999999900......) = 118053031946994401 * c40159(8470769225......)

n=83728: c41849(1236380499......) = 497307425974348961 * x41831(2486149279......)

n=83728: x41831(2486149279......) = 694336155044266993 * c41813(3580613312......)

n=83792: c41881(1778586170......) = 143835758460108161 * c41864(1236539640......)

n=84176: c42067(1828129388......) = 941566101099946081 * c42049(1941583694......)

n=97936: c48908(2209735266......) = 392706421646688497 * c48890(5626939476......)

n=43088: c21522(2486958104......) = 3617747837674607057 * c21503(6874326836......)

n=43664: c21809(2046147110......) = 9050855017963087649 * c21790(2260722447......)

n=45392: c22677(3235539596......) = 3309947409558448657 * c22658(9775199411......)

n=50992: c25478(9614468170......) = 1759451408823735169 * x25460(5464469278......)

n=57136: c28552(4355923345......) = 1780047900088851857 * c28534(2447082095......)

n=72368: x36143(7589755127......) = 6111134674811133761 * c36125(1241955141......)

n=73456: c36720(9999999900......) = 8879389163693245409 * c36702(1126203584......)

n=80048: x39974(2056232479......) = 7546824691867127857 * c39955(2724632628......)

n=80144: c40036(1905601884......) = 3754933329852610193 * c40017(5074928678......)

n=81712: x40812(1045398956......) = 8056851963760021729 * c40793(1297527820......)

n=93904: c46929(6344822709......) = 1670815996608188497 * c46911(3797439527......)

n=94500L: c10801(1000000000......) = 3451029928836210001 * c10782(2897685678......)

n=44752: c22358(1513042612......) = 64800179184852217297 * c22338(2334935845......)

n=46192: c23052(3409417719......) = 48377963637533100289 * c23032(7047460171......)

n=51472: c25724(1942766090......) = 36323252569073 * c25710(5348546601......)

n=53104: x26521(1945356710......) = 79270974274936404641 * c26501(2454059293......)

n=64336: c32152(2548097863......) = 68910715672041249889 * c32132(3697680163......)

n=70352: c35168(9999999900......) = 24530758737052779521 * c35149(4076514716......)

n=72900M: c9672(1086772572......) = 11667942790633591201 * c9652(9314174675......)

n=73936: c36940(2394353957......) = 13212615017480162737 * c36921(1812172650......)

n=76016: c38000(9999999900......) = 17149206202926905249 * c37981(5831173630......)

n=85168: c42567(3442548166......) = 10292896849375876609 * c42548(3344586288......)

n=86704: c43328(3477319656......) = 18385263993035848817 * c43309(1891362374......)

n=90256: c45111(6422581704......) = 11881402889874645761 * c45092(5405575220......)

n=92656: c46316(1079249263......) = 26876302733969783489 * c46296(4015616560......)

n=57808: c28883(2685300401......) = 217906980171299095057 * c28863(1232314999......)

n=88496: c44227(3037012574......) = 66118827722833 * c44213(4593264398......)

n=94500M: c10774(6936066526......) = 343757935677091572001 * c10754(2017718227......)

n=97072: c48518(3537405286......) = 23772004112177 * c48505(1488055138......)

n=50992: x25460(5464469278......) = 2297944406458301544337 * c25439(2377981496......)

n=59728: x29837(3047247122......) = 2409918493432802222369 * c29816(1264460657......)

n=64432: c32204(1551999736......) = 4555520494725558306241 * c32182(3406854909......)

n=68528: c34234(7923680820......) = 1567529333778655472129 * c34213(5054885194......)

n=84464: c42216(1034728490......) = 1780563675814114545121 * c42194(5811241149......)

n=88112: c44048(9999999900......) = 2610643574889911224129 * c44027(3830473066......)

n=89968: c44976(9999999900......) = 3825989103834401656913 * c44955(2613703183......)

n=51248: c25616(9999999900......) = 23008335245665592849393 * c25594(4346250953......)

n=53552: c26768(9999999900......) = 67912558387458267450577 * c26746(1472481693......)

n=56656: c28306(3231314635......) = 28258676312966971240321 * c28284(1143476997......)

n=67216: x33568(4881941626......) = 103952794364113 * c33554(4696306295......)

n=76144: c38056(1353918658......) = 71449419270737 * c38042(1894933048......)

n=65168: c32554(4172721348......) = 311223136271521 * x32540(1340749083......)

n=96752: c48368(9999999900......) = 4332758517811555238213393 * c48344(2307998439......)

n=69968: c34955(2429985627......) = 37910157299134993 * c34938(6409853719......)

n=61808: c30865(8294706861......) = 799724263843697 * c30851(1037195848......)

n=65168: x32540(1340749083......) = 10815778251169 * c32527(1239623310......)

# Prime95 80 ECM curves with B1=11000

# 74968 of 100000 Phi_n(10) factorizations were cracked.

April 26, 2013 2013 年 4 月 26 日 (Kurt Beschorner)

n=3709: c3687(4372621838......) = 169211740060875344294676573439 * c3658(2584112566......)

# ECM B1=1e6, sigma=868185045

n=3721: c3645(6781245562......) = 8703401326037876400631147367754031 * c3611(7791488991......)

# ECM B1=1e6, sigma=3232620896

n=4173: c2545(1109999999......) = 20326774572599359810026261420319 * c2513(5460777832......)

# ECM B1=1e6, sigma=2797897230

# 74955 of 100000 Phi_n(10) factorizations were cracked.

April 25, 2013 2013 年 4 月 25 日 (Ray Chandler)

n=40120: p14848(9999000099......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_40120_10

April 22, 2013 2013 年 4 月 22 日 (Kurt Beschorner)

n=3787: c3240(9000000900......) = 877563521437767558774275570296441 * c3208(1025566888......)

# ECM B1=1e6, sigma=3715065452

# 74954 of 100000 Phi_n(10) factorizations were cracked.

April 20, 2013 2013 年 4 月 20 日 (Maksym Voznyy)

n=80992: c40474(3086723661......) = 62160524405537 * c40460(4965729764......)

n=81568: c40763(2043280773......) = 17251798969697 * c40750(1184387075......)

n=85664: c42797(1488603599......) = 85679466892193 * x42783(1737409968......)

n=86816: c43386(4266151543......) = 10612189725889 * c43373(4020048315......)

n=88096: c44023(2965477082......) = 11057910085153 * x44010(2681769935......)

n=88096: x44010(2681769935......) = 1359484761597217 * c43995(1972636995......)

n=93088: c46506(6883665556......) = 4305363920500897 * c46491(1598858002......)

n=94624: c47280(6189778105......) = 4996535081659937 * c47265(1238814099......)

n=83872: c41896(1584337603......) = 32328314542051201 * c41879(4900773907......)

n=95968: c47947(8145958716......) = 16987057180230433 * c47931(4795391355......)

n=90976: c45451(4002564310......) = 186647473927161601 * c45434(2144451369......)

n=94816: c47362(3618786498......) = 225443824701958433 * x47345(1605183243......)

n=80672: c40312(3376702427......) = 1462677673674809953 * x40294(2308575900......)

n=80672: x40294(2308575900......) = 1396266887264963617 * c40276(1653391569......)

n=85664: x42783(1737409968......) = 5081363496831005473 * c42764(3419180639......)

n=46027: c46027(1111111111......) = 2793527422483895197 * c46008(3977448376......)

n=83488: c41708(4752964780......) = 11281358104021712417 * c41689(4213114003......)

n=47699: c47699(1111111111......) = 15406624997963219117 * c47679(7211904692......)

n=87008: c43472(4918410166......) = 400969802765877351073 * c43452(1226628572......)

n=89504: c44727(8131502918......) = 236517131669546461889 * c44707(3438018574......)

n=94816: x47345(1605183243......) = 343980104808523958113 * c47324(4666500246......)

n=49382: c24690(9090909090......) = 5415146307340294767841 * c24669(1678792884......)

n=48781: c48781(1111111111......) = 2685878405471356903277 * c48759(4136863042......)

n=48029: c48029(1111111111......) = 33555157094844936640601 * c48006(3311297598......)

n=48907: c48907(1111111111......) = 53892613293866718348599 * c48884(2061713179......)

# Prime95 80 ECM curves with B1=11000

# 74953 of 100000 Phi_n(10) factorizations were cracked.

# 7441 of 9592 R_prime factorizations were cracked.

April 14, 2013 2013 年 4 月 14 日 (Maksym Voznyy)

n=88064: c42998(1353679119......) = 70397058164737 * c42984(1922920012......)

n=68608: c33792(9999999999......) = 92251320260609 * c33779(1083995326......)

n=71168: c35328(9999999999......) = 36903850841089 * x35315(2709744314......)

n=84736: c42236(1180122024......) = 77153447170049 * c42222(1529577832......)

n=55424: c27637(2503846469......) = 71181023191937 * c27623(3517575833......)

n=56192: c28015(2089560756......) = 21516347286913 * c28001(9711503203......)

n=34208: c17083(3248092557......) = 39736244285537 * c17069(8174130736......)

n=52928: c26413(4916044141......) = 94661490300353 * c26399(5193288343......)

n=70016: c34938(2800479554......) = 10152127315969 * c34925(2758515005......)

n=75136: c37490(4288544858......) = 35913889074689 * c37477(1194118757......)

n=80768: c40311(5009362777......) = 18202875257089 * x40298(2751962372......)

n=84352: c42095(6945622348......) = 39855945477121 * x42082(1742681616......)

n=63808: c31867(2238854422......) = 47473636940801 * x31853(4715995165......)

n=86656: c43241(1175317915......) = 42125783789953 * c43227(2790020291......)

n=51616: c25787(2767683421......) = 96739610531617 * c25773(2860961922......)

n=72256: c36090(7688705829......) = 86425230425537 * c36076(8896367173......)

n=55136: c27536(6776286291......) = 19528644099841 * c27523(3469921545......)

n=57184: c28565(8494645766......) = 13029475158209 * c28552(6519560966......)

n=79936: c39930(5957143120......) = 19914479420993 * c39917(2991362714......)

n=89536: c44729(4167422185......) = 18208121363329 * c44716(2288771094......)

n=93376: c46638(4931510909......) = 93092859690241 * c46624(5297410484......)

n=69728: c34842(8436134664......) = 26787086824129 * x34829(3149328898......)

n=71584: c35758(2590517735......) = 15154667312033 * x35745(1709386080......)

n=78304: c39105(9650451609......) = 42820801507937 * c39092(2253683086......)

n=24832: c12288(9999999999......) = 216817628929793 * p12274(4612171090......)

n=50432: c25070(6313816693......) = 497254915760129 * c25056(1269734394......)

n=61696: c30708(2465629175......) = 143607837071617 * x30694(1716918258......)

n=36224: c18002(2394058731......) = 173354155867649 * c17988(1381021827......)

n=52352: c26093(4458844445......) = 338874052212097 * x26079(1315782195......)

n=52352: x26079(1315782195......) = 444353175400577 * c26064(2961118022......)

n=43328: c21621(1972865610......) = 336205121951297 * c21606(5868041508......)

n=63872: c31860(6549059227......) = 398775249922561 * c31846(1642293303......)

n=53056: c26487(4280039430......) = 163202985253697 * x26473(2622525209......)

n=58048: c28976(1725669291......) = 121326188072321 * c28962(1422338671......)

n=84352: x42082(1742681616......) = 207414254091137 * x42067(8401937581......)

n=63808: x31853(4715995165......) = 672526203624449 * c31838(7012358983......)

n=52384: c26176(9999999999......) = 794124267948577 * c26162(1259248760......)

n=55072: c27516(1815771793......) = 349986022927361 * x27501(5188126596......)

n=81728: c40820(6425154381......) = 861055787939393 * x40805(7461949006......)

n=81728: x40805(7461949006......) = 238206334696961 * c40791(3132556913......)

n=84544: c42227(2368458236......) = 324093553180097 * x42212(7307946155......)

n=84928: c42417(2854953247......) = 148126184846209 * c42403(1927379180......)

n=62368: c31161(9658952994......) = 156021185032417 * c31147(6190795815......)

n=90176: c45042(9384559825......) = 136552329182081 * c45028(6872500733......)

n=66848: c33401(1416601369......) = 128485255020257 * x33387(1102540030......)

n=69728: x34829(3149328898......) = 348738894246209 * x34814(9030621334......)

n=80096: c40014(1623010018......) = 214253020349857 * c39999(7575202513......)

n=35584: c17664(9999999999......) = 1586516429446913 * c17649(6303117833......)

n=62464: c30720(9999999999......) = 4183830684193793 * c30705(2390154084......)

n=70144: c34807(1431910453......) = 1181824571183617 * x34792(1211609987......)

n=71168: x35315(2709744314......) = 5808983894737921 * c35299(4664747507......)

n=88576: c44020(1721387972......) = 1217972084548097 * c44005(1413323009......)

n=29824: c14843(1117666848......) = 2048273824373761 * c14827(5456628087......)

n=29888: c14904(6884412321......) = 8267249600112001 * c14888(8327330919......)

n=44672: c22272(9999999999......) = 2270054108949761 * c22257(4405181339......)

n=25184: c12549(1033166939......) = 1340619488699521 * c12533(7706638224......)

n=29152: c14556(3430178712......) = 8831013514474337 * c14540(3884241267......)

n=55232: c27574(1030156065......) = 2913989111319809 * c27558(3535209041......)

n=43552: c21740(5850615597......) = 1961116410866689 * c21725(2983308673......)

n=56768: c28346(2669023236......) = 1077657348940801 * c28331(2476690052......)

n=84352: x42067(8401937581......) = 5507092662354817 * c42052(1525657564......)

n=50272: c25109(2427456058......) = 2440990212565217 * c25093(9944554655......)

n=52064: c25990(2615703995......) = 1980827233111393 * x25975(1320510921......)

n=78656: c39290(1790645916......) = 1654543328170177 * c39275(1082259911......)

n=59744: c29851(5579329699......) = 4109425497844801 * c29836(1357690923......)

n=82496: c41204(4452660914......) = 2486028985441921 * c41189(1791073612......)

n=87104: c43513(6307982581......) = 1223639856850561 * x43498(5155097348......)

n=92992: c46460(1075349757......) = 2339005669383809 * c46444(4597465374......)

n=69728: x34814(9030621334......) = 2967531536539841 * x34799(3043142498......)

n=71776: c35868(1393203951......) = 5377454875262081 * c35852(2590824067......)

n=72992: c36473(2107712497......) = 1356195427844161 * c36458(1554136265......)

n=42758: c21378(9090909090......) = 6026730557355077 * c21363(1508431313......)

n=43750: c14994(3174602166......) = 3734414714231251 * c14978(8500936317......)

n=47317: c47317(1111111111......) = 14499742207842587 * c47300(7662971487......)

n=28922: c14460(9090909090......) = 98705332752590623 * c14443(9210149884......)

n=80896: c39932(1236139782......) = 10431633707318273 * c39916(1184991552......)

n=70144: x34792(1211609987......) = 76174009580637697 * c34775(1590581871......)

n=61184: c30454(6984318008......) = 11696348086537729 * c30438(5971366410......)

n=97792: c48634(2005055547......) = 34660554190951937 * c48617(5784834068......)

n=30242: c15120(9090909090......) = 45471425330218169 * c15104(1999257561......)

n=29728: c14816(1552933045......) = 23131686079486753 * c14799(6713445098......)

n=45376: c22641(3556515285......) = 78426219451488833 * x22624(4534854937......)

n=49472: c24692(2648418639......) = 33212367656314369 * c24675(7974194031......)

n=45536: c22752(9999999999......) = 31367536756656097 * c22736(3188009335......)

n=82816: c41330(1525167001......) = 59446057811952257 * c41313(2565631865......)

n=52064: x25975(1320510921......) = 31381059394543489 * x25958(4207987069......)

n=56288: c28111(4405610435......) = 26367886849927393 * c28095(1670824234......)

n=60448: c30202(2506536420......) = 12870846300584737 * c30186(1947452686......)

n=88384: c44143(1603806637......) = 10138202648166529 * x44127(1581943755......)

n=66656: c33307(1875296531......) = 33899686033597121 * c33290(5531899408......)

n=69728: x34799(3043142498......) = 43076728643313377 * c34782(7064469829......)

n=38746: c19372(9090909090......) = 769929726037211413 * c19355(1180745304......)

n=96256: c47104(9999999999......) = 632591085435979777 * c47087(1580800019......)

n=26368: c13046(2663466783......) = 759550256696570113 * c13028(3506636670......)

n=33536: c16621(4094501360......) = 178505443555752193 * c16604(2293768346......)

n=44288: c22016(9999999999......) = 893969612277349889 * c21999(1118606254......)

n=48896: c24297(8166283317......) = 632436916498173697 * x24280(1291240771......)

n=84992: c41978(5602765076......) = 785818730625107969 * c41960(7129844146......)

n=67072: c33276(1490912885......) = 109045492316683777 * c33259(1367239355......)

n=77312: c38390(1530939618......) = 554565694252068353 * c38372(2760610031......)

n=85504: c42496(9999999999......) = 101887877036862977 * c42479(9814710337......)

n=29654: c14826(9090909090......) = 337200345796208183 * c14809(2695996372......)

n=30722: c15360(9090909090......) = 910196638610777173 * c15342(9987851751......)

n=32546: c16272(9090909090......) = 513714921339417997 * c16255(1769640848......)

n=22336: c11136(9999999999......) = 748347081489698689 * c11119(1336278345......)

n=26176: c13024(1123274697......) = 287697204271732033 * c13006(3904364314......)

n=26272: c13110(2054408299......) = 162652258390585057 * c13093(1263067798......)

n=26464: c13206(4991049068......) = 234965963058807361 * c13189(2124158326......)

n=41152: c20538(2359237843......) = 558425257333792577 * c20520(4224805043......)

n=56704: c28271(5147966391......) = 298705186116578561 * x28254(1723427188......)

n=56704: x28254(1723427188......) = 167019307819396609 * c28237(1031873027......)

n=19683: c13113(1488851282......) = 837249945781822849 * x13095(1778263815......)

n=48064: c23992(4095589066......) = 916232487856255937 * c23974(4470032574......)

n=73088: c36468(1276944248......) = 144380699969988737 * c36450(8844286314......)

n=58304: c29112(8965751037......) = 252271310236370561 * c29095(3554011365......)

n=47072: c23515(1062201455......) = 698253388743647489 * c23497(1521226351......)

n=64832: c32377(3473982252......) = 306722516514600257 * c32360(1132614029......)

n=48992: c24473(3324347732......) = 188101616327195521 * c24456(1767314814......)

n=87424: c43632(1628425519......) = 474140924571113729 * c43614(3434475774......)

n=65984: c32960(9999999999......) = 644457738784167233 * c32943(1551692127......)

n=96128: c47976(1637150929......) = 543664373199974017 * c47958(3011326490......)

n=55072: x27501(5188126596......) = 405756741325441409 * c27484(1278629796......)

n=79168: c39545(7944254845......) = 128856748636723969 * c39528(6165183376......)

n=83392: c41657(8504650300......) = 970122651207226241 * c41639(8766572236......)

n=87488: c43691(7982676675......) = 948364499347630721 * c43673(8417308619......)

n=91328: c45626(1216615907......) = 106305332989947073 * c45609(1144454255......)

n=42751: c42751(1111111111......) = 880438757256164279 * c42733(1261997046......)

n=66784: c33376(9999999999......) = 691292772248083937 * c33359(1446565102......)

n=66848: x33387(1102540030......) = 281129189154706369 * c33369(3921826949......)

n=68128: c34048(9999999999......) = 449352254344155937 * c34031(2225425577......)

n=68512: c34227(9104345497......) = 692870695008127169 * c34210(1314003545......)

n=71584: x35745(1709386080......) = 977012560047028577 * c35727(1749605020......)

n=13125: c5994(5079362499......) = 470082568688460001 * c5977(1080525600......)

n=30625: c21000(9999999999......) = 361322994119745001 * c20983(2767606867......)

n=91875: c41968(8717150885......) = 307451098981083751 * c41951(2835296707......)

n=74848: c37392(1231915274......) = 958026792386979233 * c37374(1285888123......)

n=77152: c38548(2786010007......) = 157349350798856033 * c38531(1770588816......)

n=30870: c7056(9999999999......) = 602650800554510611 * c7039(1659335719......)

n=78944: c39444(1545829637......) = 699954685922898337 * c39426(2208471017......)

n=52500M: c5996(1904725624......) = 374423786222745001 * c5978(5087084993......)

n=43609: c43609(1111111111......) = 1272714817385406173 * c43590(8730244167......)

n=47207: c47207(1111111111......) = 3139325178122411813 * c47188(3539331060......)

n=14914: c7456(9090909090......) = 13347744404772981289 * c7437(6810820476......)

n=54784: c27136(9999999999......) = 4386325169945074177 * c27118(2279812739......)

n=48896: x24280(1291240771......) = 4338430274335989761 * c24261(2976285636......)

n=61696: x30694(1716918258......) = 1474400125735492609 * c30676(1164485968......)

n=67328: c33528(1336993570......) = 1299982855277893121 * c33510(1028470156......)

n=70912: c35314(1803535114......) = 9660265099080483841 * c35295(1866962341......)

n=29914: c14956(9090909090......) = 9985425835690403317 * c14937(9104177669......)

n=88832: c44266(3040154997......) = 3820291334394593537 * c44247(7957914022......)

n=25094: c12546(9090909090......) = 3738222442911844411 * c12528(2431880186......)

n=90368: c45043(1837904501......) = 9107562707076041473 * c45024(2017998184......)

n=93952: c46848(9999999999......) = 2659876325155545857 * c46830(3759573294......)

n=17984: c8946(1552617097......) = 65649445565395194817 * c8926(2365011743......)

n=23648: c11777(9261462526......) = 2413284995457445793 * c11759(3837699461......)

n=43136: c21498(2088512409......) = 2675669211015038209 * c21479(7805570286......)

n=45952: c22885(6738632557......) = 6377434994200307201 * c22867(1056636808......)

n=48512: c24181(3654213778......) = 1173173518586342017 * c24163(3114810997......)

n=44864: c22400(9999999999......) = 1049329744274996033 * c22382(9529892824......)

n=33632: c16794(1270665952......) = 3151193761213481281 * c16775(4032332025......)

n=42272: c21120(9999999999......) = 1688211237902468833 * c21102(5923429352......)

n=54176: c27058(3454718843......) = 1095127433107239361 * c27040(3154627250......)

n=75968: c37947(2193901392......) = 1108717559268289921 * c37929(1978773921......)

n=41351: c41351(1111111111......) = 1989488934491663357 * c41332(5584907218......)

n=73504: c36728(1093449748......) = 8649882577992063713 * c36709(1264120915......)

n=76768: c38362(1860894074......) = 1196752164723306881 * c38344(1554953589......)

n=42875: c29396(1166167158......) = 1276718375285151751 * c29377(9134098646......)

n=28350: c6470(1332411975......) = 1355282893872545401 * c6451(9831246168......)

n=40357: c40357(1111111111......) = 44206020913750133227 * c40337(2513483657......)

n=40699: c40699(1111111111......) = 37380662234090354671 * x40679(2972422222......)

n=45568: c22520(9220682570......) = 12233730176303503873 * c22501(7537098200......)

n=38656: c19190(7189345239......) = 12312474684882641921 * c19171(5839074129......)

n=22094: c11046(9090909090......) = 56008281757168425259 * c11027(1623136580......)

n=12928: c6381(1009256060......) = 145933277758511681153 * c6360(6915873310......)

n=28064: c13986(6191490101......) = 39037199066342108609 * c13967(1586048755......)

n=43712: c21807(7284770321......) = 11937626789961955777 * c21788(6102360586......)

n=45376: x22624(4534854937......) = 43887848263538344321 * x22605(1033282586......)

n=66944: c33393(1823965900......) = 23696163345058886273 * c33373(7697304724......)

n=53056: x26473(2622525209......) = 15155005225680040961 * c26454(1730468033......)

n=41681: c41681(1111111111......) = 56753329767274407529 * c41661(1957790169......)

n=88384: x44127(1581943755......) = 59590185106845394753 * c44107(2654705222......)

n=94784: c47351(4451041574......) = 95390287079142971521 * c47331(4666137099......)

n=70496: c35208(9001312537......) = 15617176945722189889 * c35189(5763725780......)

n=42386: c21192(9090909090......) = 52168361931820687247 * c21173(1742609649......)

n=43682: c21840(9090909090......) = 45599303159347624451 * c21821(1993650880......)

n=45814: c22906(9090909090......) = 13442236107143701133 * c22887(6762944065......)

n=37888: c18432(9999999999......) = 421670583978936855553 * c18412(2371519470......)

n=24758: c12378(9090909090......) = 646362240780784253081 * c12358(1406472797......)

n=25138: c12568(9090909090......) = 125676701399337876413 * c12548(7233567550......)

n=32726: c16362(9090909090......) = 494843314145230227733 * c16342(1837128810......)

n=97024: c48378(1411880380......) = 125929926810496659713 * c48358(1121163504......)

n=24896: c12392(5185118970......) = 2655778910667457 * c12377(1952391048......)

n=21664: c10790(8914343118......) = 103949438608129 * c10776(8575652968......)

n=42176: c21041(3740008071......) = 284735525043760433921 * c21021(1313502440......)

n=32288: c16128(9999999999......) = 256257514254251702209 * c16108(3902324592......)

n=39328: c19641(1025702957......) = 153899841981564925537 * c19620(6664743406......)

n=80768: x40298(2751962372......) = 721639669628666449537 * c40277(3813485438......)

n=48352: c24156(2068124004......) = 2964755402891873 * c24140(6975698577......)

n=68416: c34176(9999999999......) = 210231989091618510209 * c34156(4756650043......)

n=51424: c25696(9999999999......) = 123457396737084176449 * c25676(8099960200......)

n=58592: c29280(9999999999......) = 344052569689082513377 * c29260(2906532571......)

n=61792: c30858(1251566179......) = 345456866696954912321 * c30837(3622930386......)

n=62432: c31190(6144643656......) = 236128234660820547329 * c31170(2602248589......)

n=19683: x13095(1778263815......) = 466005238051677549283 * c13074(3815973877......)

n=75424: c37685(6102599397......) = 282897113865800681921 * c37665(2157179800......)

n=36458: c18228(9090909090......) = 198927959551670578877 * c18208(4569950403......)

n=31500M: c3591(1041481803......) = 296642839357206058501 * c3570(3510894804......)

n=46402: c23200(9090909090......) = 161925579476419904659 * c23180(5614251386......)

n=38894: c19446(9090909090......) = 2988568257446972388179 * c19425(3041894414......)

n=27758: c13878(9090909090......) = 6296332439458153206259 * c13857(1443841979......)

n=21662: c10830(9090909090......) = 3680114226726789932687 * c10809(2470279054......)

n=29894: c14946(9090909090......) = 1810134088745316998371 * c14925(5022229649......)

n=37952: c18944(9999999999......) = 1517092328123610978497 * c18923(6591556634......)

n=98944: c49391(2088124458......) = 7740167488644748864769 * c49369(2697776838......)

n=54368: c27162(1718987784......) = 1801342239409203288769 * c27140(9542816166......)

n=87104: x43498(5155097348......) = 1486826817030768885761 * c43477(3467180770......)

n=13558: c6778(9090909090......) = 828416170468418046811619 * c6755(1097384311......)

n=75904: c37881(7319186273......) = 3733390330106753 * c37866(1960466392......)

n=51488: c25721(1165087043......) = 44458257466027804700929 * c25698(2620631374......)

n=47119: c47119(1111111111......) = 495430241954705936689721 * c47095(2242719594......)

n=30592: c15228(3268721602......) = 277903913955953540511617 * c15205(1176205673......)

n=30112: c14985(1502184572......) = 249981382664773927586593 * c14961(6009185788......)

n=78976: c39405(5852677202......) = 118446724774291947813121 * c39382(4941189563......)

n=52064: x25958(4207987069......) = 496132973593156901064353 * c25934(8481571058......)

n=73664: c36786(5182749340......) = 697082009021940871998913 * c36762(7434920531......)

n=35762: c17880(9090909090......) = 513294635356470920950609 * c17857(1771089831......)

n=21875: c14994(2821868692......) = 5030747288610545748268751 * c14969(5609243578......)

n=33248: c16574(1364764519......) = 96624882438858900556193921 * c16548(1412435891......)

n=45376: x22605(1033282586......) = 10314726237514525080067201 * c22580(1001754736......)

n=35104: c17525(3303811634......) = 42414375211578156842290337 * c17499(7789367680......)

n=43742: c21855(2620399737......) = 24739925034771398292072329 * c21830(1059178527......)

n=40699: x40679(2972422222......) = 192574034808979484184358561 * c40653(1543521807......)

n=84544: x42212(7307946155......) = 256475595203701072193265281 * c42186(2849372919......)

n=41024: c20445(1943580957......) = 5281444094975297 * c20429(3680018045......)

n=39375: c17981(5682773239......) = 4169528436465001 * c17966(1362929483......)

n=62500L: c12486(1031663317......) = 962417694022312501 * c12468(1071949657......)

n=92672: c46058(5155178359......) = 25650038674373017601 * x46039(2009813094......)

n=92672: x46039(2009813094......) = 27363702133903211521 * c46019(7344814252......)

# Prime95, 80 ECM curves with B1=11000

# 1060 of 100000 Phi_n(10) factorizations were finished.

# 74947 of 100000 Phi_n(10) factorizations were cracked.

# 7436 of 9592 R_prime factorizations were cracked.

April 12, 2013 2013 年 4 月 12 日 (Kurt Beschorner)

n=96293: c96264(4585705179......) = 1003078892010683 * x96249(4571629625......)

n=96293: x96249(4571629625......) = 4027568214966871 * c96234(1135084344......)

# mfactc

n=3701: c3701(1111111111......) = 11547406340087551912390683833231 * c3669(9622170367......)

# ECM B1=1e6, sigma=3696834763

# 74886 of 100000 Phi_n(10) factorizations were cracked.

# 7427 of 9592 R_prime factorizations were cracked.

April 11, 2013 2013 年 4 月 11 日 (Maksym Voznyy)

n=59049: c39366(3333333333......) = 396319276163359 * c39351(8410727243......)

n=91875: c41983(7630903563......) = 875389638585001 * c41968(8717150885......)

n=98415: c52488(9999999999......) = 3650675443160311 * c52473(2739219126......)

# mfaktc 0.18 64bit_mul32

# 74885 of 100000 Phi_n(10) factorizations were cracked.

April 2, 2013 2013 年 4 月 2 日 (Kurt Beschorner)

n=3695: c2891(4042516520......) = 1428708293335328314314940721 * c2864(2829490484......)

# ECM B1=1e6, sigma=3390843751

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