Changes of Phin10.txt <March 2009> Phin10.txt の更新履歴 <2009 年 3 月> - Repunit レピュニット - Factorization 素因数分解 - STUDIO KAMADA

March 30, 2009 2009 年 3 月 30 日 (Alfred Reich)

n=42260M: c8449(2824060999......) = 60668916549481 * c8435(4654872973......)

n=48380M: c9280(3541000000......) = 11520662248561 * c9267(3073608030......)

n=66380L: c13273(2824060999......) = 1805160569935623601 * c13255(1564437561......)

n=65940M: c7489(2557786117......) = 854791034161 * c7477(2992294040......)

n=99038: x47345(1099999999......) = 8530617731044103 * x47329(1289472854......)

n=99038: x47329(1289472854......) = 28183708048686811 * c47312(4575242025......)

n=99092: c42451(2038505553......) = 672497172649 * c42439(3031247767......)

n=99218: c40176(9090910000......) = 49158729070837 * c40163(1849297199......)

n=99096: c33019(1009222360......) = 232287328487521 * c33004(4344715518......)

n=99926: x47009(1099999999......) = 1205661150041 * c46996(9123624825......)

n=99157: x98482(4725210964......) = 1553837967482058529 * x98464(3040993374......)

n=99203: x91416(9999999999......) = 2084640334453 * x91404(4796990557......)

n=99545: x77617(1111099999......) = 959292667831 * x77605(1158249236......)

March 27, 2009 2009 年 3 月 27 日 (Yousuke Koide)

n=1142: c541(1097195144......) = 1369398895363566532703794609730931826889 * c501(8012239152......)

March 26, 2009 2009 年 3 月 26 日 (Kurt Beschorner)

n=15500M: c2976(2476128021......) = 1509007136441815665001 * c2955(1640898814......)

March 25, 2009 2009 年 3 月 25 日 (Torbjörn Granlund)

n=1277: c1240(6313514496......) = 2226665570081251172672332249034827 * c1207(2835412098......)

n=1933: c1923(1609057760......) = 294837204599453098438414200085089373969661740477 * c1875(5457444770......)

n=2031: c1329(2785731733......) = 893761304270646036335688694427671 * c1296(3116863215......)

n=2173: c2050(6017075900......) = 478280283488856566265931892248116294079 * p2012(1258064801......)

n=2335: c1853(1021281611......) = 147573031954528418499237398921 * c1823(6920516562......)

n=2485: c1614(1518258907......) = 30136665587537396477131045268311 * c1582(5037912713......)

n=2501: c2392(2766421098......) = 654228237103367077233003613428056707 * c2356(4228525981......)

n=2589: c1710(2116786128......) = 14240146621229373724187220801062791 * c1676(1486491807......)

n=3321: c2160(9999999999......) = 422325923632951593932230314511 * c2131(2367839490......)

n=3471: c2113(1109999999......) = 105755198590323068223325649829405927721 * c2075(1049593792......)

n=3573: c2376(9990000009......) = 2570098595688412427353075201737199 * c2343(3887010415......)

March 23, 2009 2009 年 3 月 23 日 (Kurt Beschorner)

n=5283: c3516(9990000009......) = 514798226798710616714809 * c3493(1940566126......)

n=5287: c4952(6799363395......) = 81362067343301003998919 * c4929(8356920635......)

n=5311: c5152(9000000000......) = 130550052170696908654231 * c5129(6893907624......)

n=5317: c4896(9000000000......) = 20757726650650659718149089 * c4871(4335734905......)

n=5361: c3568(8401575127......) = 98211832766892170641963 * c3545(8554544692......)

n=5421: c3265(4744117442......) = 12229158550700384982981163 * c3240(3879349035......)

n=5425: c3581(1063190189......) = 50144437086937908401 * c3561(2120255507......)

n=11303: c11077(1193178517......) = 4245401035471 * x11064(2810520154......)

n=11303: x11064(2810520154......) = 13414974396411088957 * c11045(2095061884......)

n=11307: c7532(1327920199......) = 13644375667837 * c7518(9732363222......)

n=11309: c11004(9000000000......) = 6804730247521 * c10992(1322609372......)

n=11311: c11300(4542468634......) = 1029773103132889 * c11285(4411135444......)

n=11313: c7517(6295860220......) = 2884208292407881 * c7502(2182872934......)

n=11317: c11298(1294168459......) = 2536676477412354533 * c11279(5101827021......)

n=11319: c5870(5003104867......) = 236581184222974069370431 * c5847(2114751806......)

n=11321: c11309(1449664595......) = 7199068572667 * c11296(2013683549......)

n=11325: c5998(6622582782......) = 9275533052503734001 * c5979(7139840637......)

n=11345: c9063(9265246618......) = 97180315000591 * c9049(9534077573......)

n=11363: c10312(5431657863......) = 916038017202385111 * c10294(5929511397......)

n=11369: c11352(2018845772......) = 328736435599483 * x11337(6141229124......)

n=11369: x11337(6141229124......) = 5335837924640117 * c11322(1150939966......)

n=11371: c11138(6660766305......) = 282421764949547 * x11124(2358446526......)

n=11371: x11124(2358446526......) = 104617171881771751 * c11107(2254358901......)

n=11373: c7093(1441683047......) = 14652603891264761119 * c7073(9839091113......)

n=11377: c10980(9000000000......) = 103099911556043 * c10966(8729396431......)

n=11379: c7573(3014163786......) = 172088009466787 * c7559(1751524580......)

n=11383: c11383(1111111111......) = 825113368854281323 * c11365(1346616299......)

n=11385: c5271(5108997706......) = 4472626942081 * x5259(1142281208......)

n=11385: x5259(1142281208......) = 49758626407835071 * c5242(2295644575......)

n=11395: c8731(2031406261......) = 3153866257561 * x8718(6441003185......)

n=11395: x8718(6441003185......) = 409134359720951 * c8704(1574300234......)

March 16, 2009 2009 年 3 月 16 日 (Alfred Reich)

n=52260L: c6337(2555227054......) = 157401310308061 * c6323(1623383598......)

n=53580M: c6624(3952674096......) = 12232399085041 * c6611(3231315515......)

n=53860L: c10721(3700828793......) = 12426019537707358841 * c10702(2978289855......)

March 11, 2009 2009 年 3 月 11 日 (Torbjörn Granlund)

n=1705: c1201(1111099999......) = 2290410855280630000692469250880271 * c1167(4851094717......)

n=1883: c1568(5269182654......) = 47097088968789978676002367101523 * c1537(1118791579......)

n=1895: c1504(6936045545......) = 596651673403268592958923226021711 * c1472(1162494945......)

n=2007: c1281(2232917623......) = 218893722217327051268124808278346231 * c1246(1020092125......)

n=2109: c1266(2186737200......) = 45652865656878469830375714358983613 * c1231(4789923192......)

n=2163: c1166(6584805101......) = 39785430831611087094495655952797 * c1135(1655079501......)

n=2481: c1637(1067667383......) = 1083982673177703269936458637326761823957 * c1597(9849487543......)

n=2587: c2331(2667156588......) = 1379719651101525027412254475368277 * c2298(1933114880......)

n=3147: c2096(9009009009......) = 533402297488843580807299531496683 * c2064(1688970792......)

n=3177: c2095(1635306627......) = 1391620785453846765809189563933 * c2065(1175109372......)

March 10, 2009 2009 年 3 月 10 日 (Kurt Beschorner)

n=5251: c5084(1465863511......) = 162753449721549534259582507 * c5057(9006650945......)

n=5261: c5261(1111111111......) = 5067744833590186709959 * c5239(2192515897......)

March 10, 2009 2009 年 3 月 10 日 (Alfred Reich)

n=26060M: c5195(4184533284......) = 60149731954197461 * c5178(6956861067......)

n=26540M: c5305(2824060999......) = 152349501038669152081121 * c5282(1853672628......)

n=26900L: c5349(2122333810......) = 379134145326324001 * c5331(5597844026......)

n=26980L: c5025(1255298129......) = 10010725717220461 * c5009(1253953174......)

n=36060M: c4789(1585610612......) = 3419171413467795813241 * c4767(4637411876......)

n=36100L: c6799(3959959175......) = 98076100408501 * c6785(4037639301......)

n=76140M: c9936(9999999999......) = 116110624953601 * c9922(8612476251......)

March 6, 2009 2009 年 3 月 6 日 (Yousuke Koide)

n=1094: c517(3643872587......) = 801184237904695710568990687788865153927 * c478(4548108181......)

March 5, 2009 2009 年 3 月 5 日 (Alfred Reich)

n=25260M: c3315(1114431159......) = 16402240570981 * c3301(6794383701......)

n=25780M: c5139(1891267385......) = 273100088105641 * c5124(6925180430......)

n=55580M: c9504(3537460769......) = 75315776200141 * c9490(4696839026......)

n=79100L: c13423(4190230191......) = 64352155175701 * c13409(6511406153......)

n=79700M: c15920(9900498007......) = 16267756128101 * c15907(6085964118......)

n=84020L: c16783(3959039161......) = 84318006337001 * c16769(4695366189......)

n=84180L: c10550(1842150927......) = 614626296121 * c10538(2997188599......)

n=84460L: c16321(2796099999......) = 1264522113161 * c16309(2211191066......)

n=84580M: c16908(1112969918......) = 41296443053581 * c16894(2695074528......)

n=84620M: c16908(8310859025......) = 848372449261 * c16896(9796238707......)

n=85180L: c17022(2439969035......) = 628381249718921 * c17007(3882943733......)

n=85220M: c17041(2824060999......) = 155171065531861 * c17027(1819966235......)

n=85660L: c17124(3296787335......) = 2547806366701 * c17112(1293970915......)

n=85900M: c17145(3987370803......) = 7000796054801 * c17132(5695596289......)

n=88420M: c17681(2824060999......) = 68941772113580359841 * c17661(4096298823......)

March 3, 2009 2009 年 3 月 3 日 (Makoto Kamada)

n=66896: c32245(9208985033......) = 449341836817 * c32234(2049438596......)

n=68111: x68099(1663256900......) = 445645505231 * x68087(3732242065......)

n=69908: c34946(1275935479......) = 448306791389 * c34934(2846121236......)

n=71923: x70834(7820857183......) = 445121521627 * x70823(1757016186......)

n=73032: c22784(9999000100......) = 448802308057 * c22773(2227929741......)

n=73419: x48939(3067659029......) = 444018288871 * x48927(6908857375......)

n=76020M: c8640(3948723401......) = 440643240241 * c8628(8961270799......)

n=78614: c37565(3751565090......) = 442644931769 * c37553(8475337275......)

n=79520: c26880(9999999999......) = 449291657921 * c26869(2225725722......)

n=79682: c39840(9090909090......) = 441064013647 * c39829(2061131447......)

n=83374: c41678(2006951931......) = 444653385013 * c41666(4513519967......)

n=85360: c30710(4729814731......) = 442622500321 * c30699(1068588860......)

n=90908: x45452(9900990099......) = 445313837989 * x45441(2223373552......)

n=91230: c24320(9100090999......) = 449539474201 * c24309(2024314108......)

n=91935: x48811(5438595537......) = 443198777041 * x48800(1227123317......)

n=92504: x44628(4377332361......) = 445569844553 * x44616(9824121661......)

n=93955: x66528(9000090000......) = 443591620601 * x66517(2028913438......)

n=94992: c31644(1052709157......) = 446468099521 * c31632(2357859741......)

n=99355: x76791(1344902250......) = 447986329831 * x76779(3002105557......)

n=99995: x68545(1111099888......) = 448770560351 * x68533(2475875173......)

n=66575: x53235(1877559373......) = 434199087551 * x53223(4324190049......)

n=68136: c21248(9999000100......) = 434610245521 * c21237(2300682094......)

n=68281: x68275(1356050432......) = 433832892841 * x68263(3125743702......)

n=69254: c33481(1099999999......) = 437285615167 * c33469(2515518374......)

n=71523: x47614(1201491987......) = 437461989787 * x47602(2746506017......)

n=76482: c21816(9990010000......) = 436832220259 * c21805(2286921508......)

n=76940L: c15368(2088858896......) = 434709307321 * c15356(4805185582......)

n=77135: x61704(9000090000......) = 432181234201 * x61693(2082480517......)

n=77329: x66276(9000000900......) = 432080427241 * x66265(2082945750......)

n=78032: c39008(9999999900......) = 431194219649 * c38997(2319140527......)

n=78120: c17281(1000000000......) = 436158021601 * c17269(2292747010......)

n=79099: x78064(9000000000......) = 432624070601 * x78053(2080328075......)

n=79804: c39201(1009999999......) = 434662062481 * c39189(2323644244......)

March 2, 2009 2009 年 3 月 2 日 (Kurt Beschorner)

n=5219: c4891(3448923361......) = 2401503814069967133485671 * c4867(1436151523......)

n=5221: c4968(1436483488......) = 58639708917451464390822293 * c4942(2449677044......)

n=5237: c5218(1080638488......) = 13137300661025662591024039 * p5192(8225727009......)

Primality testing 8225727009...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N-1 BLS with factored part 0.48% and helper 0.15% (1.59% proof)
8225727009...... is Fermat and Lucas PRP! (15.9255s+0.0682s)

March 2, 2009 2009 年 3 月 2 日 (Makoto Kamada)

n=81418: c40703(1595100616......) = 433284206051 * c40691(3681418787......)

n=84145: x67312(9000090000......) = 432390694511 * x67301(2081471714......)

n=84164: c41185(1009999999......) = 435189908869 * c41173(2320825872......)

n=84193: x82703(2672423264......) = 438568577599 * x82691(6093512852......)

n=84307: x84307(1111111111......) = 433571173163 * x84295(2562695999......)

n=84620M: c16920(3576409999......) = 430329763561 * c16908(8310859025......)

n=88780M: c16897(2796100000......) = 435423374381 * c16885(6421566145......)

n=88990: c32314(3783611232......) = 436032757051 * c32302(8677355476......)

n=90032: c42241(1000000009......) = 431711903009 * c42229(2316359597......)

n=92196: c28215(5089122458......) = 434886042709 * c28204(1170219772......)

n=92880: c24186(2446949522......) = 435350293921 * c24174(5620645160......)

n=93423: x53274(4383291162......) = 439834176079 * x53262(9965781198......)

n=93976: x44151(8229896233......) = 437459031809 * x44140(1881295306......)

n=95948: x44609(1000000000......) = 432465940661 * x44597(2312320823......)

n=96287: x94889(4172792751......) = 436896100133 * x94877(9550995648......)

n=97487: x89976(9000000000......) = 431208202907 * x89965(2087158810......)

n=98607: x65727(2523833522......) = 434344113601 * x65715(5810677393......)

n=99155: x67959(2525509790......) = 433209186551 * x67947(5829769702......)

n=99597: x66388(2991224269......) = 438044935879 * x66376(6828578588......)

n=99827: x78894(4028987422......) = 430960546199 * x78882(9348854455......)

n=99963: x64171(2503422507......) = 439519517587 * x64159(5695816471......)

STUDIO KAMADA
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