-- Mar 30, 2009 (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......) -- Mar 27, 2009 (Yousuke Koide) -- n=1142: c541(1097195144......) = 1369398895363566532703794609730931826889 * c501(8012239152......) -- Mar 26, 2009 (Kurt Beschorner) -- n=15500M: c2976(2476128021......) = 1509007136441815665001 * c2955(1640898814......) -- Mar 25, 2009 (Torbjorn 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......) -- Mar 23, 2009 (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......) -- Mar 16, 2009 (Alfred Reich) -- n=52260L: c6337(2555227054......) = 157401310308061 * c6323(1623383598......) n=53580M: c6624(3952674096......) = 12232399085041 * c6611(3231315515......) n=53860L: c10721(3700828793......) = 12426019537707358841 * c10702(2978289855......) -- Mar 11, 2009 (Torbjorn 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......) -- Mar 10, 2009 (Kurt Beschorner) -- n=5251: c5084(1465863511......) = 162753449721549534259582507 * c5057(9006650945......) n=5261: c5261(1111111111......) = 5067744833590186709959 * c5239(2192515897......) -- Mar 10, 2009 (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......) -- Mar 6, 2009 (Yousuke Koide) -- n=1094: c517(3643872587......) = 801184237904695710568990687788865153927 * c478(4548108181......) -- Mar 5, 2009 (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......) -- Mar 3, 2009 (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......) -- Mar 2, 2009 (Kurt Beschorner) -- n=5219: c4891(3448923361......) = 2401503814069967133485671 * c4867(1436151523......) n=5221: c4968(1436483488......) = 58639708917451464390822293 * c4942(2449677044......) n=5237: c5218(1080638488......) = 13137300661025662591024039 * p5192(8225727009......) # ----------------8<----------------8<----------------8<---------------- # 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) # ----------------8<----------------8<----------------8<---------------- -- Mar 2, 2009 (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......)