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October 31, 2008 2008 年 10 月 31 日 (Kurt Beschorner)

n=14540M: c2899(3808367979......) = 1000351132777391296666530041 * c2872(3807031205......)

October 31, 2008 2008 年 10 月 31 日 (Yousuke Koide)

n=4620M: c440(3837537783......) = 204168072644517615633490096124783806081 * c402(1879597399......)

October 30, 2008 2008 年 10 月 30 日 (Kurt Beschorner)

n=4465: c3313(1111099999......) = 2898951891194261437292881 * c3288(3832764535......)

n=4643: c4643(1111111111......) = 1454523819639029690345563 * c4618(7639002511......)

n=4811: c4489(2678184577......) = 11266306754959629796890559 * c4464(2377162841......)

n=4873: c4403(8252746179......) = 1098473509057335533 * c4385(7512922351......)

n=5131: c4392(9000000900......) = 76320661673422661973471281 * c4367(1179235177......)

October 28, 2008 2008 年 10 月 28 日 (Alfred Reich)

n=27524: c11772(1912747326......) = 467707403574181 * c11757(4089623793......)

n=28014: c7393(1098900989......) = 202041255206533 * c7378(5438993080......)

n=28016: c13046(6043563360......) = 12720582993281 * c13033(4751011304......)

n=28032: c9209(2253538545......) = 70028872238977 * c9195(3218013475......)

n=28052: c14024(9900990099......) = 3548402646949 * x14012(2790266800......)

n=28052: x14012(2790266800......) = 1258406575041089 * c13997(2217301510......)

n=28064: c14002(2045760338......) = 3304148605666561 * c13986(6191490101......)

n=28216: c14104(9999000099......) = 1673406056508538935977 * c14083(5975238383......)

n=28256: c14096(1480628517......) = 161701957344097 * c14081(9156528107......)

n=28282: c13865(1007650131......) = 234014779491139 * c13850(4305925180......)

n=28292: c12817(4141996620......) = 20285822471861 * c12804(2041818430......)

n=28308: c8051(1386014721......) = 2271734778187919689 * c8032(6101129124......)

n=28344: c9441(1000099999......) = 16847581482001 * c9427(5936163603......)

n=28382: c13553(1099999999......) = 27073713545521 * c13539(4062981600......)

n=28384: c14176(9999999999......) = 278952793775681 * c14162(3584835937......)

n=28506: c9501(1098901098......) = 25469381665609237 * c9484(4314596692......)

n=28530: c7576(7368646393......) = 4262743319117046571 * c7558(1728616020......)

n=28554: c9517(1098901098......) = 10041978083041 * c9504(1094307406......)

n=28576: c13249(1000000000......) = 2062979799392641 * c13233(4847357207......)

n=28594: c12956(1311964907......) = 357849326867899 * c12941(3666249476......)

n=28648: c14311(3396980973......) = 331217053041577 * c14297(1025605699......)

n=28666: c13021(1099999999......) = 437772206292917 * c13006(2512722334......)

n=28686: c8173(2723706061......) = 6934713191533 * c8160(3927640533......)

n=28730: c9984(9999999999......) = 3475172303734561 * c9969(2877555161......)

n=28732: c13035(3515232092......) = 2314052372694701 * c13020(1519080611......)

n=28768: c13429(6677369930......) = 946726419312606529 * x13411(7053114599......)

n=28768: x13411(7053114599......) = 997982948067957793 * c13393(7067369851......)

n=28786: c13969(1099999999......) = 5829879612451 * c13956(1886831415......)

n=28806: c9595(4768521880......) = 32198565553280569 * c9579(1480973390......)

n=28824: c9591(5403641246......) = 11717790829513 * c9578(4611484643......)

n=28844: c14420(9900990099......) = 270494482493569 * c14406(3660329781......)

n=28850: c11521(1000009999......) = 22860202120601 * c11507(4374458260......)

n=28868: c12355(5831105773......) = 45799480407269 * c12342(1273181643......)

n=28872: c9582(6431866832......) = 72010420885441 * c9568(8931855630......)

n=28882: c12373(1099999890......) = 237475041157520209 * c12355(4632065267......)

n=28886: c11993(5176262638......) = 9808321776397 * c11980(5277419274......)

n=28902: c9624(1202302940......) = 159727191995520007 * c9606(7527227676......)

n=28928: c14336(9999999999......) = 26512805590273 * c14323(3771762277......)

n=28930: c10447(4139647586......) = 6080615974291 * c10434(6807941176......)

n=28932: c9623(1409320726......) = 3319980242869 * c9610(4244967207......)

n=28938: c7489(1098900989......) = 719772588447823 * x7474(1526733591......)

n=28938: x7474(1526733591......) = 155312988700782823 * c7456(9830044507......)

n=28954: c13973(4322104100......) = 273785081189051 * c13959(1578648508......)

n=29660L: c5918(8120338777......) = 22036075298183321 * c5902(3685020434......)

n=30820M: c5796(3322515071......) = 17151675738761 * c5783(1937137293......)

n=31060M: c6201(5954339257......) = 4797780335221 * c6189(1241061249......)

n=31100M: c6200(9900498007......) = 1077060698137901 * c6185(9192144904......)

n=32540M: c6504(3576409999......) = 237293133754601 * c6490(1507169610......)

n=32620M: c5559(2191913500......) = 5049818823281 * c5546(4340578497......)

n=32660M: c6137(3666857027......) = 904494646824481 * c6122(4054039502......)

n=32780L: c5920(3540964590......) = 143599233040121 * c5906(2465865948......)

n=32148: c9931(2827819551......) = 3703327116121 * c9918(7635889194......)

n=32164: c13431(1572598638......) = 10979566789049 * c13418(1432295707......)

n=32200: c10551(1135183664......) = 842543372456801 * c10536(1347329646......)

n=32218: c15832(2142470180......) = 3191293935649 * c15819(6713484323......)

n=32390: c12471(1140673770......) = 453443583160891 * c12456(2515580355......)

n=32708: c13813(1542475558......) = 80292896416981 * c13799(1921061049......)

n=32732: c13925(1215913782......) = 6392390179169 * c13912(1902126980......)

n=32818: c16074(2280148591......) = 6578275586059 * c16061(3466179793......)

n=32880: c8688(2743112045......) = 281601337570081 * c8673(9741118665......)

n=32914: c14101(1099999890......) = 8927850056287 * c14088(1232099422......)

n=32918: c16183(1491989662......) = 275398370207677 * c16168(5417568959......)

n=96060L: c12793(2530472268......) = 1134184283629261 * x12778(2231094456......)

n=96060L: x12778(2231094456......) = 41806536426388501 * c12761(5336712024......)

n=96180L: c10945(2557786117......) = 1007017007221 * x10933(2539963177......)

n=96180L: x10933(2539963177......) = 62061890332678321 * c10916(4092629412......)

n=96220M: c18041(1552788138......) = 11006508232921 * c18028(1410790875......)

n=96340L: c19259(1237422194......) = 1079496925501 * c19247(1146295246......)

n=96460M: c14977(2826883646......) = 698635206622081 * c14962(4046294288......)

n=96500L: c19200(9999999999......) = 658744833827501 * c19186(1518038470......)

n=96500M: c19201(1000000000......) = 1619681476001 * c19188(6174053447......)

n=96660L: c12806(1117326306......) = 10971574247521 * c12793(1018382851......)

n=96740L: c16560(3537460769......) = 7501840395187741 * c16544(4715457252......)

n=97020L: c10081(1000000000......) = 16885380883141 * c10067(5922282754......)

n=97300M: c16553(4718537575......) = 9141171049501 * c16540(5161852404......)

n=97380L: c12961(1105096689......) = 424513989901 * c12949(2603204408......)

n=97420M: c19480(3576409999......) = 6146404325041 * c19467(5818702790......)

n=97460L: c17681(2796127961......) = 66571309844161 * c17667(4200199707......)

n=97820M: c19008(3541000000......) = 1406321555321 * c18996(2517916323......)

n=97860M: c11136(3948723401......) = 697730839681 * c11124(5659379200......)

n=97940M: c19024(3540999999......) = 2305037879761 * c19012(1536200351......)

n=97980M: c12321(2555229610......) = 335096876810881 * c12306(7625345942......)

n=98260L: c18475(8658893557......) = 8067016306134701 * c18460(1073370032......)

n=98580L: c12448(1299147244......) = 11556697807967313361 * c12429(1124150917......)

n=98740L: c19730(9957287626......) = 119857031087401 * c19716(8307637471......)

n=99020L: c19784(8346771097......) = 14813468146381 * c19771(5634582674......)

n=99140L: c19819(9495163420......) = 10048831909803061 * c19803(9449022041......)

n=99180L: c12084(1060845555......) = 3276113040151561 * c12068(3238122564......)

n=99220L: c17548(1956289705......) = 463204204321 * c17536(4223385037......)

n=99220M: c17584(1884189285......) = 106680346640561 * c17570(1766200940......)

n=99260L: c16985(3126169140......) = 860476311328201 * c16970(3633068219......)

n=99260M: c16982(2592421359......) = 85935825236785721 * c16965(3016694553......)

n=99340M: c19865(2824060999......) = 5536070183401 * x19852(5101201585......)

n=99340M: x19852(5101201585......) = 77377182300789247501 * c19832(6592643249......)

n=99380L: c19867(1184032591......) = 480935000521 * c19855(2461938912......)

n=99420L: c13249(2529932837......) = 45004675889067541 * c13232(5621488850......)

n=99460L: c19889(2824060999......) = 65441429945581 * c19875(4315402340......)

n=99460M: c19888(3576409999......) = 12657777596221 * c19875(2825464401......)

n=99500L: c19792(7008543365......) = 5308465394501 * c19780(1320257898......)

n=99580L: c18337(2796097203......) = 1185852413201 * c18325(2357879591......)

n=99580M: c18331(3555902773......) = 9982680236311901 * c18315(3562072198......)

n=99700L: c19921(1010050200......) = 3829824081223201 * c19905(2637327927......)

n=99740L: c19945(2824060999......) = 10047552066121 * c19932(2810695561......)

n=99740M: c19936(2903427430......) = 772611772921 * c19924(3757938374......)

n=99780L: c13286(1124430009......) = 536147916306721 * c13271(2097238421......)

n=99780M: c13296(3913542626......) = 20980944350761 * c13283(1865284308......)

n=99940L: c18864(3540999996......) = 611216350021 * c18852(5793365960......)

October 25, 2008 2008 年 10 月 25 日 (Kurt Beschorner)

n=4415: c3459(5153664711......) = 6396673618717490408351 * c3437(8056788603......)

n=4417: c3780(9000000900......) = 52986043267027585514759 * c3758(1698560667......)

n=4417: c3758(1698560667......) = 367881562444040286206041 * c3734(4617139972......)

n=4429: c4279(1693381325......) = 85584897897734208092314055519 * c4250(1978598288......)

October 23, 2008 2008 年 10 月 23 日 (Kurt Beschorner)

n=10971: c6865(1001000999......) = 324565918559812774853757501481 * c6835(3084122339......)

October 22, 2008 2008 年 10 月 22 日 (Kurt Beschorner)

n=4379: c4181(1371345900......) = 530105494041662394651197729 * c4154(2586930178......)

n=4411: c3995(3517837389......) = 2963139290682680790568801 * c3971(1187199468......)

October 10, 2008 2008 年 10 月 10 日 (Kurt Beschorner)

n=10919: c10667(5875365428......) = 1051734841599197857891997 * c10643(5586356176......)

n=10921: c10692(9000000000......) = 24331729761273973714120987 * c10667(3698873893......)

October 27, 2008 2008 年 10 月 27 日 (Makoto Kamada)

n=66976: c25334(8336481343......) = 396177573793 * c25323(2104228481......)

n=67760: c21120(9999999999......) = 399597795521 * c21109(2502516308......)

n=68780L: c12960(3540999996......) = 391243543741 * c12948(9050628574......)

n=68804: c33865(1009999999......) = 399235898041 * c33853(2529832625......)

n=69300M: c7188(1221259154......) = 391600786501 * c7176(3118633048......)

n=69343: x65248(9000000000......) = 392775394321 * x65237(2291385898......)

n=74372: c37176(6312371975......) = 391678278701 * c37165(1611621659......)

n=74437: x66001(1111111111......) = 396928900919 * x65989(2799269865......)

n=74485: x59584(9000090000......) = 399755036201 * x59573(2251401279......)

n=75405: c36474(8534002639......) = 398503963441 * c36463(2141510103......)

n=75887: x63073(1111110999......) = 393149146867 * x63061(2826181892......)

n=76810: c30721(1099989000......) = 392479436641 * c30709(2802666579......)

n=77859: x50381(8410732321......) = 398233057483 * x50370(2112012592......)

n=79879: x75900(9999999999......) = 391270027637 * x75889(2555779715......)

October 26, 2008 2008 年 10 月 26 日 (Makoto Kamada)

n=82389: x52977(1109999999......) = 393333984013 * x52965(2822029229......)

n=84227: x64790(2644680810......) = 398568396799 * x64778(6635450356......)

October 24, 2008 2008 年 10 月 24 日 (Yousuke Koide)

n=2461: c2324(3816184873......) = 11668688312370099589744221041 * c2296(3270448889......)

n=2477: c2357(5367234500......) = 1529208182232831619019692898519 * c2327(3509812832......)

n=3723: c2267(7743759321......) = 15942465356863251786712857083893 * c2236(4857316072......)

October 24, 2008 2008 年 10 月 24 日 (Makoto Kamada)

n=86126: c43056(2199032737......) = 393484028453 * c43044(5588620068......)

n=86995: x68533(6425839399......) = 390219900281 * x68522(1646722628......)

n=89628: c23024(3889503685......) = 398442708049 * c23012(9761764005......)

n=91513: x91507(3035383157......) = 395910312563 * x91495(7666845398......)

n=91886: x45936(1735733438......) = 399171712517 * x45924(4348337780......)

n=98583: x61825(1109999999......) = 394692419449 * x61813(2812316490......)

n=99332: x47017(1009999999......) = 396888952561 * x47005(2544792424......)

October 22, 2008 2008 年 10 月 22 日 (Makoto Kamada)

n=69595: x53754(9978258155......) = 382503167351 * x53743(2608673341......)

n=69866: c34550(1633332300......) = 380807427641 * c34538(4289129312......)

n=72781: x71697(8522184684......) = 385719794693 * x71686(2209423732......)

n=73830: c18657(1098890109......) = 380197625881 * c18645(2890312919......)

n=74971: x67393(1111111111......) = 382244891471 * x67381(2906804344......)

n=76781: x76769(7852996812......) = 384801802081 * x76758(2040790030......)

n=78573: x47595(2354493370......) = 387776612521 * x47583(6071777653......)

n=78622: c37220(1399081693......) = 382338864623 * c37208(3659271455......)

n=78828: c26264(1515219171......) = 387821226349 * c26252(3907004228......)

n=78871: x72787(1901835694......) = 388611771523 * x72775(4893921989......)

n=79380L: c9073(1000000000......) = 381590693821 * c9061(2620608982......)

October 20, 2008 2008 年 10 月 20 日 (Alfred Reich)

n=98060L: c19599(2405147057......) = 1200362266001 * c19587(2003684325......)

n=98140L: c16800(3537460769......) = 426297587801 * c16788(8298101774......)

n=98220M: c13072(4903758668......) = 7765320443821 * x13059(6314946954......)

n=98220M: x13059(6314946954......) = 5227101278277121 * c13044(1208116433......)

n=98260M: c18497(1000000000......) = 4707002036921 * c18484(2124494512......)

n=98340M: c11840(3952634573......) = 49171550398938001 * c11823(8038458298......)

n=98460L: c13087(1097955332......) = 2121343936561 * c13074(5175753508......)

n=98620L: c19713(6044090778......) = 58170142927654921 * c19697(1039036604......)

n=98660L: c19717(8542178519......) = 23101525508641 * c19704(3697668587......)

n=98740M: c19734(1124832996......) = 11195280423401 * c19721(1004738563......)

n=98820L: c12953(4216420249......) = 10923103781101 * c12940(3860093554......)

October 20, 2008 2008 年 10 月 20 日 (Yousuke Koide)

n=3300M: c400(9900498997......) = 104058563677338657976098468528187201 * c365(9514352925......)

October 20, 2008 2008 年 10 月 20 日 (Makoto Kamada)

n=80601: x52801(1109999999......) = 388436208049 * x52789(2857612078......)

n=82996: c41496(9900990099......) = 388812191161 * c41485(2546471104......)

n=84245: x55104(9000090900......) = 383886268081 * x55093(2344468049......)

n=85004: c41799(1012767967......) = 385734976381 * c41787(2625553889......)

n=85227: x56806(3879405606......) = 382860990751 * x56795(1013267399......)

n=85942: c42433(1099999999......) = 388827906253 * c42421(2829015053......)

n=86764: c42760(2460011124......) = 380630804789 * c42748(6462984849......)

n=87322: c43649(9550928377......) = 388148473051 * c43638(2460637884......)

n=87763: x78625(1111111111......) = 384871120999 * x78613(2886969300......)

n=88966: x44477(3406123324......) = 387915424957 * x44465(8780582325......)

n=89049: x59358(4598594037......) = 381940956391 * x59347(1204006525......)

n=90603: x60396(9990000009......) = 384999871519 * x60385(2594806063......)

n=91031: x84667(1017153583......) = 384583763437 * x84655(2644816760......)

n=92849: x92849(1111111111......) = 383616599683 * x92837(2896410405......)

n=93726: c30240(9990010000......) = 381800359081 * c30229(2616553327......)

n=93763: x93763(1111111111......) = 386448142547 * x93751(2875188126......)

n=94873: x94865(9294890447......) = 386906324951 * x94854(2402361979......)

n=95026: x47505(4309351020......) = 388416209299 * x47494(1109467349......)

n=95161: x83991(1085181464......) = 384710419853 * x83979(2820774817......)

n=96491: x94392(9000000000......) = 385667386667 * x94381(2333617078......)

n=96620M: c19313(4935361217......) = 382531140601 * c19302(1290185476......)

n=96906: c31189(1468228821......) = 385651478371 * c31177(3807139098......)

n=97497: x61769(1053051925......) = 386208041311 * x61757(2726644223......)

n=98460L: c13098(4177501118......) = 380480061061 * c13087(1097955332......)

n=98981: x98968(2835251632......) = 385728561077 * x98956(7350380341......)

October 20, 2008 2008 年 10 月 20 日 (Makoto Kamada)

n=66018: c21998(7926411889......) = 378892156051 * c21987(2091996828......)

n=66460L: c13276(8663556893......) = 377565573701 * c13265(2294583377......)

n=67314: c20680(1294277939......) = 373594988677 * c20668(3464387850......)

n=67799: x67186(1517477387......) = 376232922761 * x67174(4033345557......)

n=68619: x45051(1155447204......) = 378028246711 * x45039(3056510234......)

n=68645: x54912(9000090000......) = 370743270311 * x54901(2427580140......)

n=69713: x57009(3592072757......) = 373856876401 * x56997(9608149493......)

n=70072: c33121(1000099999......) = 379597612073 * c33109(2634631958......)

n=71871: x47912(9009009009......) = 379076977369 * x47901(2376564536......)

October 19, 2008 2008 年 10 月 19 日 (Yousuke Koide)

n=3447: c2283(1028068476......) = 519736304901885732272014471 * c2256(1978057847......)

October 19, 2008 2008 年 10 月 19 日 (Kurt Beschorner)

n=4337: c4322(8890500370......) = 114586214625396622883 * c4302(7758787040......)

n=4351: c4079(6990993001......) = 360209459479964468991230689 * c4053(1940813273......)

n=4359: c2870(1315299927......) = 36325003888268393401 * c2850(3620921643......)

n=4409: c4390(2478471204......) = 303042122465135495314892447947 * c4360(8178635973......)

October 19, 2008 2008 年 10 月 19 日 (Makoto Kamada)

n=76097: x65175(5315987537......) = 377730288601 * x65164(1407350085......)

n=77420M: c13104(9990004998......) = 374344280801 * c13093(2668667723......)

n=78017: x78007(1831097512......) = 374805214517 * x77995(4885464348......)

n=78140M: c15615(1734143912......) = 374283332981 * c15603(4633238403......)

n=78635: x62899(5722663428......) = 374362519871 * x62888(1528642191......)

n=79429: x68040(9999999000......) = 376047863311 * x68029(2659235691......)

n=82400: c32641(1000000000......) = 375269046401 * c32629(2664754819......)

n=83367: x54281(4350420501......) = 374690313757 * x54270(1161070981......)

n=84695: x62489(2043432701......) = 377149037071 * x62477(5418103986......)

n=84848: c42416(9999999900......) = 377628496657 * c42405(2648105211......)

n=85477: x73260(9000000900......) = 371032920119 * x73249(2425661016......)

n=85577: x85548(1101245453......) = 375148687213 * x85536(2935490621......)

n=85781: x85781(1111111111......) = 376401194893 * x85769(2951933007......)

n=87347: x80600(1758462953......) = 378081838889 * x80588(4651011429......)

n=87943: x87943(1111111111......) = 378869876591 * x87931(2932698479......)

n=89014: x44499(3727334910......) = 370238333579 * x44488(1006739327......)

n=92316: c26208(9999999999......) = 375758245969 * c26197(2661285575......)

n=92673: x52921(1001000999......) = 374297906431 * x52909(2674343037......)

n=92841: x53033(5977961402......) = 371423232559 * x53022(1609474281......)

n=94009: x94009(1111111111......) = 373450940519 * x93997(2975253214......)

n=94409: x80900(1110576961......) = 374081312333 * x80888(2968811659......)

October 18, 2008 2008 年 10 月 18 日 (Yousuke Koide)

n=3395: c2290(3594210889......) = 7487949585571771577925791 * c2265(4799993440......)

n=3411: c2237(1121161775......) = 16531038555139674029357445439 * p2208(6782161759......)

October 18, 2008 2008 年 10 月 18 日 (Makoto Kamada)

n=97875: x50389(9796247289......) = 375375876751 * x50378(2609716792......)

n=98056: c39155(2703221357......) = 376319120689 * c39143(7183321837......)

October 17, 2008 2008 年 10 月 17 日 (Alfred Reich)

n=36100M: c6832(1190972569......) = 14012045185601 * c6818(8499634090......)

n=36580M: c6960(3541000000......) = 39023513858081 * c6946(9074016278......)

n=36700L: c7320(9900498007......) = 533740766307701 * c7306(1854926329......)

n=36860M: c6908(3792813449......) = 11607629006741 * c6895(3267517808......)

n=98900M: c18480(9900498006......) = 306662353756501 * c18466(3228468667......)

October 16, 2008 2008 年 10 月 16 日 (Alfred Reich)

n=37220L: c7432(6151625587......) = 7538461494061 * x7419(8160319704......)

n=37220L: x7419(8160319704......) = 15856554811497201961 * c7400(5146338408......)

n=37300M: c7440(9900498007......) = 16124850649801 * c7427(6139900593......)

n=37900L: c7560(9900498007......) = 16641308348701 * c7547(5949350736......)

n=38300L: c7635(8616546425......) = 23927608642001 * c7622(3601089667......)

n=38300M: c7641(1010050200......) = 16332149350801 * c7627(6184429122......)

n=38860M: c7385(1386940224......) = 4612817065779721 * c7369(3006709793......)

n=38900M: c7761(1010050200......) = 703352878531801 * c7746(1436050425......)

October 17, 2008 2008 年 10 月 17 日 (Makoto Kamada)

n=68609: x61777(1111111111......) = 369172542163 * x61765(3009733889......)

n=68621: x58805(8300961186......) = 369039071773 * x58794(2249344804......)

n=69578: c32941(1099999999......) = 368812035023 * c32929(2982549091......)

n=69646: c34369(1099999999......) = 365724726971 * c34357(3007726628......)

n=72060M: c9601(2529932837......) = 368341751881 * c9589(6868438954......)

n=72972: c24297(7566465830......) = 368106524281 * c24286(2055509840......)

n=73919: x73344(9000000000......) = 369648960871 * x73333(2434742405......)

n=74632: c35281(1000099999......) = 363279544153 * c35269(2752976367......)

n=75281: x74266(2486618430......) = 366637139689 * x74254(6782232789......)

n=75705: c34272(9999999000......) = 363603090271 * c34261(2750251377......)

n=77015: x60473(8587534850......) = 365948940871 * x60462(2346648368......)

n=78604: c38297(8566145186......) = 361484468221 * c38286(2369713207......)

n=80127: x51409(1001000999......) = 360050995009 * x51397(2780164515......)

n=83671: x71712(9000000900......) = 368632002173 * x71701(2441459462......)

n=88179: c41473(1109999888......) = 365914809079 * c41461(3033492664......)

n=88192: c39937(1000000000......) = 361710668801 * c39925(2764640598......)

n=89140M: c17819(7920274510......) = 365640424381 * c17808(2166137544......)

n=89721: x59796(9999999990......) = 369787075363 * x59785(2704258925......)

October 16, 2008 2008 年 10 月 16 日 (Makoto Kamada)

n=90116: c41557(5156011392......) = 366911168989 * c41546(1405247871......)

n=90260L: c18041(9434145421......) = 365276533621 * c18030(2582740623......)

n=90917: x90917(1111111111......) = 361469445107 * x90905(3073872843......)

n=91855: x73472(3745469884......) = 366224599031 * x73461(1022724823......)

n=92377: x92377(1111111111......) = 367792189603 * x92365(3021029653......)

n=93438: c29904(9990010000......) = 364118075011 * c29893(2743618261......)

n=94547: x94535(6739852982......) = 367084400321 * x94524(1836049959......)

n=94966: x46915(3861017413......) = 368065139263 * x46904(1049003831......)

n=95621: x95615(1452491684......) = 365969105849 * x95603(3968891529......)

n=98170: c39254(7096899901......) = 365710835771 * c39243(1940576873......)

n=98852: x45601(1009999999......) = 360015919589 * x45589(2805431496......)

October 16, 2008 2008 年 10 月 16 日 (Makoto Kamada)

n=65767: c60696(9000000000......) = 355057618241 * c60685(2534799857......)

n=67327: x62136(9000000000......) = 359496152159 * x62125(2503503847......)

n=67473: c36281(1934822823......) = 359857799281 * c36269(5376631622......)

n=67530: c17996(1347542758......) = 353734295401 * c17984(3809477270......)

n=68907: x45263(6504594535......) = 351837074791 * x45252(1848751880......)

n=69727: x59715(6808604853......) = 356332721347 * x59704(1910743652......)

October 15, 2008 2008 年 10 月 15 日 (Alfred Reich)

n=22456: c9572(7579811013......) = 1288749417153521 * c9557(5881524300......)

n=28180M: c5632(3576409999......) = 10222706019502721 * c5616(3498496379......)

n=28220M: c5235(2337719441......) = 22089188829941 * c5222(1058309320......)

n=28340M: c5177(2072092685......) = 13861377028214936741 * c5158(1494867848......)

n=28540L: c5705(2824060999......) = 8224659169926323381 * c5686(3433651098......)

n=28580M: c5705(2040737103......) = 9774023014138989901 * c5686(2087919273......)

n=28620L: c3739(2687462553......) = 1372039875348616261 * c3721(1958735020......)

October 15, 2008 2008 年 10 月 15 日 (Yousuke Koide)

n=2371: c2355(1560194771......) = 5436437900911122060983156267 * c2327(2869884288......)

n=2383: c2366(9064124795......) = 5645038668824982859831307 * c2342(1605679841......)

October 15, 2008 2008 年 10 月 15 日 (Makoto Kamada)

n=71630: c24193(1099989000......) = 351847706081 * c24181(3126321363......)

n=72054: c24001(8357009609......) = 350565767281 * c23990(2383863568......)

n=72204: c21835(6856220872......) = 351537593089 * c21824(1950352112......)

n=72484: c36224(4844141329......) = 354507284141 * c36213(1366443383......)

n=72753: x48493(3065100613......) = 354704050369 * x48481(8641290140......)

n=76309: x75616(9000000000......) = 353687483843 * x75605(2544619306......)

n=76782: c25080(9100000000......) = 351922081327 * c25069(2585799664......)

n=77134: c38556(4618520918......) = 351730885733 * c38545(1313083697......)

n=77844: c23892(1498992551......) = 350980691881 * c23880(4270868985......)

n=78891: x52585(2039207986......) = 350320692307 * x52573(5820974983......)

n=79239: x51827(1116062350......) = 352488986293 * x51815(3166233255......)

n=80024: c34266(1811231664......) = 350669329249 * c34254(5165070092......)

n=80599: x80599(1111111111......) = 352324181879 * x80587(3153661225......)

n=81845: x65472(9000090000......) = 353664685441 * x65461(2544808789......)

n=83242: c41615(3640338886......) = 356851794641 * c41604(1020126265......)

n=83639: x83639(1111111111......) = 355016441293 * x83627(3129745504......)

n=83715: x44641(1109988900......) = 358149010711 * x44629(3099237654......)

n=85539: x57015(4545553968......) = 358401566881 * x57004(1268285182......)

n=85772: c41761(1009999999......) = 356261206849 * c41749(2834998536......)

n=85924: c42951(8316825881......) = 355913103941 * c42940(2336757424......)

n=87699: x52793(3494097606......) = 350188421329 * x52781(9977764521......)

n=89632: x44782(2553202239......) = 358506488321 * x44770(7121774145......)

October 14, 2008 2008 年 10 月 14 日 (Thomas Womack)

n=518: c171(2316515457......) = 3091086674769589337569777240589592264676648718635101423877 * p113(7494178266......)

October 14, 2008 2008 年 10 月 14 日 (Makoto Kamada)

n=90494: x45246(9090909090......) = 358303029529 * x45235(2537212454......)

n=90664: c38827(1103082697......) = 355907243833 * c38815(3099354443......)

n=92444: c41792(1448107052......) = 352786179461 * c41780(4104772626......)

n=94283: x80799(6810595244......) = 358752094849 * x80788(1898412676......)

n=94465: x64753(1111099888......) = 350540722001 * x64741(3169674218......)

n=95257: x95257(1111111111......) = 356145347489 * x95245(3119824866......)

n=95594: x47779(5444412455......) = 351080149499 * x47768(1550760549......)

n=96431: x96421(5271453722......) = 352251835591 * x96410(1496501420......)

n=96969: x64644(9009009009......) = 359292641809 * x64633(2507429309......)

n=97979: x83976(9000000900......) = 356800718317 * x83965(2522416698......)

n=99048: c33009(1000099999......) = 359701429177 * c32997(2780361485......)

October 14, 2008 2008 年 10 月 14 日 (Makoto Kamada)

n=65754: c20160(9990010000......) = 344011251169 * c20149(2903977694......)

n=65779: c56357(5398001182......) = 342984993359 * c56346(1573830134......)

n=66235: x48865(1111099999......) = 340909028071 * x48853(3259227267......)

n=68255: x46064(2349147120......) = 348985221311 * x46052(6731365619......)

n=68502: c19488(9999999000......) = 345746034481 * c19477(2892296079......)

n=68710: c27481(1099989000......) = 340523118371 * c27469(3230291691......)

n=69894: c21120(9990010000......) = 349149396223 * c21109(2861242238......)

n=70626: c23074(1714501415......) = 347946051601 * c23062(4927492086......)

n=71093: x61601(1111111111......) = 340146022547 * x61589(3266570935......)

n=71501: x70812(9000000000......) = 347001932107 * x70801(2593645500......)

n=72899: x72355(6172881844......) = 347941386677 * x72344(1774115434......)

n=74387: x73296(9000000000......) = 348438378311 * x73285(2582953130......)

n=75318: c25095(6239907791......) = 344334313321 * c25084(1812165546......)

n=77621: x77621(1111111111......) = 340978962271 * x77609(3258591391......)

October 13, 2008 2008 年 10 月 13 日 (Makoto Kamada)

n=81032: c34697(5584632137......) = 342523884641 * c34686(1630435828......)

n=82862: c38220(3423225561......) = 344719177921 * c38208(9930476112......)

n=83644: c37992(2592867602......) = 344217225661 * c37980(7532649180......)

n=84311: x82824(9000000000......) = 344648023399 * x82813(2611359818......)

n=85018: c42508(9090909090......) = 347438129557 * c42497(2616554810......)

n=85866: c26000(9100000000......) = 346164228103 * c25989(2628810044......)

n=86645: x60480(9000090000......) = 344663932471 * x60469(2611265395......)

n=89173: x76428(9000000900......) = 348325075757 * x76417(2583793567......)

n=89609: x80631(3589701857......) = 342495454991 * x80620(1048102042......)

n=90503: x77532(9999999000......) = 346063199329 * x77521(2889645307......)

n=92351: x77689(1111110999......) = 340222746319 * x77677(3265833963......)

n=92386: c39582(9158888327......) = 349749375641 * c39571(2618700408......)

n=93994: x46996(9090909090......) = 344151793463 * x46985(2641540524......)

n=94334: x46594(1575769365......) = 347365427863 * x46582(4536344838......)

n=96865: x77488(9000090000......) = 346465763351 * x77477(2597685241......)

n=97849: x97843(2838834000......) = 341973252893 * x97831(8301333440......)

n=98279: x93984(9000000000......) = 347805253283 * x93973(2587654992......)

n=98796: c32929(1009998990......) = 347720919661 * c32917(2904625327......)

n=99405: x51881(2527601982......) = 345755043631 * x51869(7310383547......)

October 13, 2008 2008 年 10 月 13 日 (Makoto Kamada)

n=66980M: c12544(3540999964......) = 330353598541 * c12533(1071881759......)

n=67832: c33113(1124620791......) = 336014223169 * c33101(3346944011......)

n=68690: c27473(1099989000......) = 331830743051 * c27461(3314909854......)

n=69377: x49920(9000000900......) = 338120187329 * x49909(2661775675......)

n=69582: c23193(1098901098......) = 333710957917 * c23181(3292972774......)

n=71376: c23777(1000000009......) = 336582878257 * c23765(2971036480......)

n=73216: c30721(1000000000......) = 338289183233 * c30709(2956050768......)

n=73884: c23914(2161408607......) = 339384824089 * c23902(6368607119......)

n=74416: c37200(9999999900......) = 338086845617 * c37189(2957819870......)

October 12, 2008 2008 年 10 月 12 日 (Yousuke Koide)

n=2347: c2318(1250848937......) = 147331509023400086295404969 * c2291(8490030043......)

October 12, 2008 2008 年 10 月 12 日 (Makoto Kamada)

n=75834: c22920(9990010000......) = 335813958019 * c22909(2974864433......)

n=75978: c21380(1316153147......) = 334701020809 * c21368(3932324868......)

n=76787: x74264(1471712059......) = 333080352067 * x74252(4418489564......)

n=77253: x46790(1417175511......) = 337524537241 * x46778(4198733291......)

n=77614: c38394(1243219228......) = 333002478931 * c38382(3733363283......)

n=77691: x46344(3105167525......) = 339812820283 * x46332(9137876324......)

n=78195: c38400(9009099100......) = 333547497271 * c38389(2700994363......)

n=78833: x76238(1061578638......) = 332175143449 * x76226(3195840084......)

n=79224: c26395(6311810109......) = 335842657273 * c26384(1879395000......)

n=80589: x53717(3606114757......) = 336787072231 * x53706(1070740255......)

n=80754: c26208(9100000000......) = 333373911811 * c26197(2729667702......)

n=80893: x78880(9000000000......) = 339317498879 * x78869(2652383101......)

n=81277: x65466(5696109346......) = 331078933529 * x65455(1720468676......)

n=81995: x60721(1000000000......) = 333815420161 * x60709(2995667484......)

n=84025: x67200(9999900000......) = 335837842001 * x67189(2977597741......)

n=86624: c43283(2313654681......) = 336395641601 * c43271(6877778410......)

n=87956: c39961(1009999999......) = 336053489201 * c39949(3005473927......)

n=88948: c43195(1135493619......) = 336539739089 * c43183(3374025374......)

October 11, 2008 2008 年 10 月 11 日 (Makoto Kamada)

n=91772: x45878(3082479877......) = 336375490709 * x45866(9163806409......)

n=94108: c40316(1073223602......) = 330810417869 * c40304(3244225527......)

October 10, 2008 2008 年 10 月 10 日 (Kurt Beschorner)

n=10809: c7200(9990000009......) = 6821685716761 * c7188(1464447414......)

n=10813: c9820(9000000000......) = 493410092979893 * x9806(1824040514......)

n=10813: x9806(1824040514......) = 1471297857344569 * c9791(1239749317......)

n=10817: c10409(1668719717......) = 12185311818409 * x10396(1369451797......)

n=10817: x10396(1369451797......) = 1660347782394997 * c10380(8247981609......)

n=10827: c7193(4444739373......) = 62525655126199 * c7179(7108665017......)

n=10833: c6858(1736689409......) = 443512472464147 * c6843(3915762279......)

n=10835: c7841(1111099999......) = 976071487672608911 * x7823(1138338752......)

n=10835: x7823(1138338752......) = 3789111111591312761 * c7804(3004236928......)

n=10845: c5761(1001000999......) = 82872072821747412271 * c5741(1207887006......)

n=10855: c7956(4044254501......) = 11761579981481201 * c7940(3438529949......)

n=10857: c5520(9009009910......) = 55849647569254326481 * c5501(1613082678......)

n=10859: c10859(1111111111......) = 311139438676559 * c10844(3571103412......)

n=10865: c8314(5164853707......) = 12424120263911 * x8301(4157118248......)

n=10865: x8301(4157118248......) = 167609901306121 * c8287(2480234291......)

n=10871: c9308(1034851602......) = 4494165390667 * c9295(2302655804......)

n=10875: c5595(5108530735......) = 144033486666001 * x5581(3546766001......)

n=10875: x5581(3546766001......) = 2177286031923001 * c5566(1628984868......)

n=10877: c10642(8261491097......) = 26900219542907 * c10629(3071161216......)

n=10885: c7434(5372431166......) = 109551238921708711 * c7417(4904035060......)

n=10893: c7260(9009009009......) = 17844812863693 * c7247(5048530952......)

October 10, 2008 2008 年 10 月 10 日 (Yousuke Koide)

n=2509: c2281(3872440798......) = 4157642909708587506494587 * c2256(9314029325......)

n=2681: c2275(1922295594......) = 156213368560551933137334031 * c2249(1230557674......)

October 10, 2008 2008 年 10 月 10 日 (Makoto Kamada)

n=95361: x51408(9009009909......) = 337838466253 * x51397(2666661973......)

n=96148: c43329(7130137458......) = 336149849309 * c43318(2121118742......)

n=98260L: c18487(2867348832......) = 331144945141 * c18475(8658893557......)

n=98660L: c19729(2824060999......) = 330601964521 * c19717(8542178519......)

n=99272: x49624(4840137717......) = 330199916209 * x49613(1465820395......)

n=99478: x49738(9090909090......) = 338930399543 * x49727(2682234790......)

October 10, 2008 2008 年 10 月 10 日 (Makoto Kamada)

n=66148: c31593(1009999999......) = 323794129261 * c31581(3119265943......)

n=67394: c32573(1046948531......) = 323645060503 * c32561(3234866400......)

n=68097: x45396(9009009009......) = 326178092689 * x45385(2761990829......)

n=68188: c34092(9900990099......) = 325130612201 * c34081(3045234661......)

n=68205: c36357(2130428365......) = 327284557111 * c36345(6509406934......)

n=69012: c22670(2406859619......) = 320485792969 * c22658(7510035302......)

n=69150: c18394(2629303193......) = 325868821801 * c18382(8068593918......)

n=70245: c31968(9990000009......) = 325726065001 * c31957(3066994349......)

n=70343: x55585(1111110999......) = 320409551281 * x55573(3467783639......)

n=71831: x71057(6264704217......) = 325567686373 * x71046(1924240174......)

n=72339: x48210(6987006846......) = 321376858351 * x48199(2174085241......)

n=73941: c42169(1000000100......) = 327845373199 * c42157(3050218736......)

n=74797: x74779(1852259146......) = 326102952481 * x74767(5679982755......)

n=76273: x75322(7374818599......) = 323494691803 * x75311(2279734037......)

n=77009: x75504(9000000000......) = 327187984283 * x75493(2750712260......)

n=77280: c16880(1397215888......) = 325918662721 * c16868(4287007921......)

n=78182: c34560(9090909090......) = 324060871811 * c34549(2805309089......)

n=79412: c39704(9900990099......) = 325103198561 * c39693(3045491444......)

n=80793: x52441(1001000999......) = 329783291191 * x52429(3035329644......)

n=82330: c32929(1099989000......) = 325146856961 * c32917(3383052846......)

n=83799: x55852(4726956092......) = 320259666241 * x55841(1475976087......)

n=84188: c38833(1009999999......) = 324437821241 * c38821(3113077248......)

n=84314: c42139(2390861515......) = 329620524161 * c42127(7253375746......)

October 6, 2008 2008 年 10 月 6 日 (Kurt Beschorner)

n=4269: c2844(9009009009......) = 66471854316691607088580489 * c2819(1355311823......)

n=4601: c4432(1505313795......) = 16670448338177314099253 * c4409(9029833898......)

n=6861: c4568(6564897623......) = 85697898016776677986399 * c4545(7660511839......)

October 8, 2008 2008 年 10 月 8 日 (Makoto Kamada)

n=85703: x85703(1111111111......) = 321915037511 * x85691(3451566350......)

n=86329: x85531(2502576622......) = 327272375711 * x85519(7646770117......)

n=86900M: c15595(1035724202......) = 328559167201 * c15583(3152321729......)

n=87467: x85552(1001128130......) = 320493957391 * x85540(3123703605......)

n=88121: x80087(6298880702......) = 323320178809 * x80076(1948186693......)

n=88260M: c11746(1475848492......) = 326154680101 * c11734(4524995598......)

n=88936: x44460(1124278995......) = 328688601569 * x44448(3420498885......)

October 7, 2008 2008 年 10 月 7 日 (Makoto Kamada)

n=90502: c43981(6676921498......) = 324232827209 * c43970(2059298423......)

n=91635: x47360(9009099100......) = 326076183241 * x47349(2762881670......)

n=93914: x46956(9090909090......) = 323992030321 * x46945(2805905158......)

n=94166: x46649(1099999999......) = 323401921247 * x46637(3401340337......)

n=94601: x82493(1445675704......) = 326182923587 * x82481(4432101131......)

n=94655: x68786(1169174551......) = 321657378241 * x68774(3634844497......)

n=96971: x83070(2148407954......) = 328857946243 * x83058(6532936116......)

n=97404: c32459(5184560210......) = 325447705861 * c32448(1593054772......)

n=97726: x48354(1125595939......) = 327706550321 * x48342(3434767898......)

n=99207: x64801(1001000999......) = 321788817271 * x64789(3110738926......)

n=99860L: c19959(1180235291......) = 322743226021 * c19947(3656886330......)

October 7, 2008 2008 年 10 月 7 日 (Makoto Kamada)

n=65667: c36186(3810896940......) = 310728101293 * c36175(1226441034......)

n=67295: x52411(8255381117......) = 311831167231 * x52400(2647388069......)

n=67423: x66880(9000000000......) = 319447477081 * x66869(2817364557......)

n=70106: c35052(9090909090......) = 313364355691 * c35041(2901066737......)

n=70573: x70558(6234351619......) = 315417272449 * x70547(1976540971......)

n=70989: x47318(4532394594......) = 311404748719 * x47307(1455467398......)

n=71119: x71105(6746837922......) = 318115287001 * x71094(2120878247......)

n=71791: x65281(1111111111......) = 318443482283 * x65269(3489194073......)

n=71884: c35933(3531683433......) = 318418229009 * c35922(1109133558......)

n=71908: c35934(2870643138......) = 310017679481 * c35922(9259611076......)

n=71944: c32375(2169827778......) = 316589500057 * c32363(6853757871......)

n=72318: c22648(1035748833......) = 313522684213 * c22636(3303584989......)

n=74391: x48955(1865141843......) = 319864338853 * x48943(5831040277......)

n=74649: x49137(1109999999......) = 313259601667 * x49125(3543386999......)

n=75603: c43680(9009009009......) = 312555654511 * c43669(2882369548......)

n=76260M: c9589(9205971228......) = 312103582501 * c9578(2949652533......)

n=78579: x52371(2102000655......) = 314998222879 * x52359(6673055600......)

n=79022: c39510(9090909090......) = 313601809837 * c39499(2898870097......)

n=79894: c38977(1099999999......) = 318704995613 * c38965(3451467705......)

October 6, 2008 2008 年 10 月 6 日 (Yousuke Koide)

n=4155: c2147(6619063286......) = 638159214022292032545205111 * c2121(1037211896......)

October 5, 2008 2008 年 10 月 5 日 (Alfred Reich)

n=12047: c10311(1411187196......) = 17360219354095493 * c10294(8128855794......)

n=12179: c11516(3694732952......) = 91152033942589363 * c11499(4053374119......)

n=12213: c7607(1024358736......) = 476001824023027 * c7592(2152005905......)

n=12249: c8138(5927549321......) = 362258253710911 * c8124(1636277230......)

n=12283: c12008(2192842942......) = 11856104617558133 * c11992(1849547564......)

n=12287: c11160(9000000000......) = 82681508929948889489 * c11141(1088514241......)

n=12371: c12134(2892864112......) = 2587188018325133 * c12119(1118149934......)

n=12387: c8244(8533335145......) = 13721344509090278881 * c8225(6219022589......)

n=12401: c12401(1111111111......) = 52441395948584241769 * c12381(2118767227......)

n=12481: c10657(2118661056......) = 9765173790037 * c10644(2169609165......)

n=12533: c12300(9000000000......) = 194762888973209372813 * c12280(4621003543......)

n=12551: c9721(1111110999......) = 6849751980771547 * c9705(1622118586......)

n=12555: c6452(1516414317......) = 9022162027584990961 * c6433(1680765998......)

n=12565: c8593(1111099888......) = 6515901828370481 * c8577(1705212752......)

n=12645: c6698(9246646654......) = 438444811456452869411521 * c6675(2108964780......)

n=12671: c12664(5158191680......) = 571614934165117961 * c12646(9023892435......)

n=12691: c10584(9999999999......) = 1554908354976649 * c10569(6431247197......)

n=12767: c11969(1574496271......) = 36102468801521711 * c11952(4361187264......)

n=12771: c7553(1277363832......) = 1859474567703853 * c7537(6869488054......)

n=12785: c10224(9000090000......) = 25368072252511 * c10211(3547802099......)

n=12809: c12794(1904977929......) = 81439947641337961957 * c12774(2339119786......)

n=12869: c12096(9000000000......) = 3324153360432031 * c12081(2707456312......)

n=12893: c12869(1142054474......) = 1495202509882497043 * c12850(7638125719......)

n=12973: c12968(2141157981......) = 24142544708028763 * c12951(8868816468......)

n=12995: c9857(1111099999......) = 23470393212401 * c9843(4734049361......)

n=26022: c8667(3248428402......) = 634129261225651 * c8652(5122659686......)

n=26050: c10377(3288352622......) = 20538053889183643051 * c10358(1601102344......)

n=26084: c13024(4839158757......) = 248634245885158801 * c13007(1946296150......)

n=26110: c8928(9091000909......) = 13039855896053491 * c8912(6971703507......)

n=26128: c12310(1672852146......) = 1196048815705652609 * c12292(1398648721......)

n=26134: c12803(3445097620......) = 4399798246489 * c12790(7830126355......)

n=26162: c12826(1868965582......) = 6174910773091 * c12813(3026708646......)

n=26184: c8669(3826782804......) = 2323617326796529 * c8654(1646907500......)

n=26320: c8808(1503176233......) = 7529825406964001 * c8792(1996296264......)

n=26406: c8744(3786874692......) = 27128752163606809 * c8728(1395889744......)

n=26512: c13227(1532253016......) = 55657995594353 * c13213(2752979154......)

n=26530: c9055(2547060264......) = 9013231423922484851 * c9036(2825912422......)

n=26614: c11390(5582269506......) = 76507716128760659 * c11373(7296348380......)

n=26664: c7991(4021059668......) = 4873036610003761 * c7975(8251650849......)

n=26722: c12895(1646580874......) = 17004522387131 * c12881(9683193901......)

n=26830: c10711(3606852257......) = 355200655321531 * c10697(1015440766......)

n=26840: c9594(3880633778......) = 28208061649447681 * c9578(1375717986......)

n=26848: c13408(9999999999......) = 29517302280347521 * c13392(3387843477......)

n=26854: c12921(9273720718......) = 510337376320516057447 * c12901(1817174510......)

n=26922: c7672(3456171299......) = 4399537484539 * c7659(7855760545......)

n=26944: c13417(9013875859......) = 26322615397313 * c13404(3424384592......)

n=26982: c8969(7028694157......) = 836091576253125037 * p8951(8406608028......)

Primality testing 8406608028...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 223
Running N-1 test using base 229
Running N+1 test using discriminant 251, base 7+sqrt(251)
Calling N+1 BLS with factored part 0.15% and helper 0.11% (0.57% proof)
8406608028...... is Fermat and Lucas PRP! (46.7810s+0.1335s)

n=26992: c11506(4595234107......) = 405186065377504321 * c11489(1134104674......)

n=28080: c6891(2629693869......) = 14708910528001 * c6878(1787823689......)

n=28112: c11984(1584927906......) = 784240843230881 * c11969(2020970878......)

n=28224: c8065(1000000000......) = 3277319851009 * x8052(3051273740......)

n=28224: x8052(3051273740......) = 5053241557659457 * c8036(6038250310......)

n=28240: c11265(1000000009......) = 2741176405311320198401 * c11243(3648068792......)

n=28244: c13452(5188853880......) = 2971590627670201 * c13437(1746153670......)

n=28274: c13855(7780945172......) = 6686805099731 * c13843(1163626733......)

n=28314: c7912(5881468264......) = 5567107683853 * c7900(1056467486......)

n=28458: c8640(9999999990......) = 691546985934139 * c8626(1446033341......)

n=28476: c8064(9999990000......) = 9357254379283609 * c8049(1068688484......)

n=28516: c14241(1159851954......) = 210200636464404881 * c14223(5517832741......)

n=28548: c8625(5438708804......) = 6395056251023701 * c8609(8504551940......)

n=28622: c12992(1991190888......) = 355899796582969 * c12977(5594807604......)

n=28692: c9541(3246440328......) = 3502802710261 * c9528(9268122121......)

n=28702: c14092(1689395355......) = 22902273080809 * c14078(7376540089......)

n=28826: c11747(4873205369......) = 1652326902715259 * c11732(2949298568......)

n=28874: c14409(3590001012......) = 10965391428170579 * c14393(3273937857......)

n=28926: c9617(5036830254......) = 102663108839089 * c9603(4906173514......)

n=28936: c14459(3455545184......) = 3951531613433 * x14446(8744824847......)

n=28936: x14446(8744824847......) = 149162837460001 * c14432(5862602908......)

n=28944: c9505(1000000000......) = 1779595985858833 * c9489(5619252953......)

n=28994: c11664(9090910000......) = 9886217523407 * c11651(9195539121......)

n=29380L: c5377(2796097203......) = 642464608101161 * c5362(4352141999......)

October 6, 2008 2008 年 10 月 6 日 (Makoto Kamada)

n=80186: c40092(9090909090......) = 319136511259 * c40081(2848595748......)

n=80218: c37981(1099999999......) = 319461687343 * c37969(3443292399......)

n=81336: c27096(5022838345......) = 311742750073 * c27085(1611212560......)

n=82323: x54859(3036809160......) = 319530632599 * x54847(9503968793......)

n=82456: c37436(1212874589......) = 314549685649 * c37424(3855907808......)

n=83804: c34560(9900990099......) = 313288264381 * c34549(3160345031......)

n=84223: x84213(5340656748......) = 315430463587 * x84202(1693132834......)

n=84946: c42446(4631775084......) = 315727802477 * c42435(1467015273......)

n=85606: c40909(1547417185......) = 311846221649 * c40897(4962116191......)

n=85911: x49055(1718291877......) = 316338735049 * x49043(5431809914......)

n=86053: x78196(4070573258......) = 315150180841 * x78185(1291629675......)

n=86821: x73009(1111110999......) = 315215795441 * x72997(3524921707......)

n=87762: c29253(1098901098......) = 311371326373 * c29241(3529230233......)

n=89070: c23736(1781479625......) = 317289429361 * c23724(5614683191......)

n=91112: c39025(1000099999......) = 313376170633 * c39013(3191372202......)

n=91446: c30475(6008437167......) = 319640074063 * c30464(1879750899......)

n=91880: c36725(1346220846......) = 319683596801 * c36713(4211103915......)

n=93116: x46547(3336564355......) = 311637183509 * x46536(1070656690......)

n=93933: x52889(8468966410......) = 319645545031 * x52878(2649486765......)

n=94014: c31312(9867081249......) = 317208124729 * c31301(3110601677......)

n=94496: x47232(9999999999......) = 315790512641 * x47221(3166656248......)

n=95769: x63819(5171764345......) = 310450728079 * x63808(1665888940......)

n=98159: x97104(9000000000......) = 316391389387 * x97093(2844578045......)

October 6, 2008 2008 年 10 月 6 日 (Makoto Kamada)

n=68081: x62820(1645528654......) = 306367087079 * x62808(5371101283......)

n=68287: x65291(2196605999......) = 300371568569 * x65279(7312962442......)

n=68489: x68468(4790794326......) = 309058256237 * x68457(1550126628......)

n=69174: c19440(9999999999......) = 307109040841 * c19429(3256172456......)

n=69183: x46116(9990000009......) = 305107130719 * x46105(3274259761......)

n=69374: c34686(9090909090......) = 303396921649 * c34675(2996374861......)

October 5, 2008 2008 年 10 月 5 日 (Makoto Kamada)

n=70098: c20016(9100000909......) = 308382131401 * c20005(2950884627......)

n=72437: x68153(1669971695......) = 300957625751 * x68141(5548859880......)

n=72595: x58072(9000090000......) = 306277869431 * x58061(2938537484......)

n=73195: x58552(9000090000......) = 307237037231 * x58541(2929363621......)

n=73448: c36720(9999000099......) = 300328137521 * c36709(3329358408......)

n=73483: x73473(8211499542......) = 309549488957 * x73462(2652725924......)

n=73600: c28150(1442548087......) = 301916620801 * c28138(4777968445......)

n=74034: c24625(1000000000......) = 302997249019 * c24613(3300359997......)

n=74155: x59314(1083648260......) = 302073655321 * x59302(3587364344......)

n=74169: x47521(1000000001......) = 300104684533 * x47509(3332170580......)

n=74567: x74567(1111111111......) = 309781592203 * x74555(3586756408......)

n=74601: x49572(9999999999......) = 305885883493 * x49561(3269193035......)

n=74620M: c11521(2826883646......) = 304909035341 * c11509(9271236069......)

n=74920: c29936(3073629608......) = 306133908481 * c29925(1004014754......)

n=75254: c37241(1099999999......) = 307889173583 * c37229(3572714126......)

n=75331: x74177(9475565498......) = 301635117031 * x74166(3141399977......)

n=75988: c34309(3848501107......) = 304450557269 * c34298(1264080822......)

n=77151: x51432(9009009009......) = 306678002437 * x51421(2937611741......)

n=77391: x51571(5440701201......) = 306487398187 * x51560(1775179414......)

n=78346: c38221(1099999999......) = 300264335533 * c38209(3663438743......)

n=79692: c25536(9901000000......) = 305690861569 * c25525(3238893027......)

n=79803: x53188(6466077639......) = 306594507277 * x53177(2108999830......)

October 4, 2008 2008 年 10 月 4 日 (Makoto Kamada)

n=80062: c40030(9090909090......) = 308769190813 * c40019(2944240993......)

n=81044: c40515(2443355625......) = 303121336109 * c40503(8060652070......)

n=82559: x82542(2321085337......) = 305241592987 * x82530(7604092595......)

n=82956: c26635(1193522839......) = 302381090569 * c26623(3947081601......)

n=83160: c17281(1000000000......) = 300400531201 * c17269(3328888920......)

n=83271: x54081(1109999999......) = 304582002121 * x54069(3644338773......)

October 3, 2008 2008 年 10 月 3 日 (Kurt Beschorner)

n=4267: c3975(6441060544......) = 31482577612627034628853 * c3953(2045912702......)

n=4277: c3294(9970720734......) = 9021141626382726165588847403 * c3267(1105261523......)

n=4289: c4267(3938280867......) = 5427356182215764322521 * c4245(7256352328......)

n=4517: c4465(3840201417......) = 2264741873230978957308907 * p4441(1695646406......)

October 3, 2008 2008 年 10 月 3 日 (Yousuke Koide)

n=2257: c2115(1318931599......) = 515301726539886596006427890591 * c2085(2559532661......)

October 3, 2008 2008 年 10 月 3 日 (Makoto Kamada)

n=85577: x85559(3402445784......) = 308963435413 * x85548(1101245453......)

n=87179: x87179(1111111111......) = 303369843151 * x87167(3662562829......)

n=87439: x79480(9000000000......) = 303182316163 * x79469(2968510866......)

n=88159: x84299(2552199570......) = 301031247761 * x84287(8478188193......)

n=91420M: c15641(1896794250......) = 306293019481 * c15629(6192743974......)

n=93220L: c18091(1428315286......) = 301656377641 * c18079(4734908301......)

n=94578: c28634(1781793710......) = 303217730047 * c28622(5876284707......)

n=94929: x63274(1024259951......) = 303855767947 * x63262(3370875460......)

n=95052: c31319(3905905760......) = 309858493969 * c31308(1260545002......)

n=96131: x79555(1926380102......) = 300483588133 * x79543(6410932837......)

n=96283: x87520(9000000000......) = 306523670311 * x87509(2936151714......)

n=96579: x54426(2353230762......) = 309839725693 * x54414(7594993692......)

n=97357: x89856(9000000000......) = 305725708679 * x89845(2943815238......)

n=97482: c25180(6145271791......) = 303755861641 * c25169(2023095705......)

n=97757: x88860(9000000000......) = 307255529879 * x88849(2929158021......)

n=98060M: c19603(3599910003......) = 301405354981 * c19592(1194374932......)

n=98608: x49296(9999999900......) = 307524430849 * x49285(3251774134......)

n=98626: x44811(5950936713......) = 300853780327 * x44800(1978016266......)

n=99591: x65464(4936043133......) = 302887701757 * x65453(1629661126......)

October 3, 2008 2008 年 10 月 3 日 (Makoto Kamada)

n=66717: c38009(1321753382......) = 297967862683 * c37997(4435892417......)

n=66810: c16632(2620775722......) = 297390083611 * c16620(8812586118......)

n=66900M: c8870(2633537297......) = 296340306901 * c8858(8886868362......)

n=66972: c22314(3866899612......) = 299476281409 * c22303(1291220658......)

n=67684: c33831(3043749048......) = 291162828149 * c33820(1045376934......)

n=68534: c34254(9216690087......) = 293219223767 * c34243(3143276204......)

n=70472: c33617(1000099999......) = 292239702553 * c33605(3422190726......)

n=71173: x70380(9000000000......) = 292711061911 * x70369(3074704434......)

n=72549: x48348(9999999990......) = 291074423293 * x48337(3435547471......)

n=73778: c35844(1499153437......) = 296489213927 * c35832(5056350676......)

n=73862: c36920(2705368324......) = 291561307699 * c36908(9278900364......)

n=74220M: c9860(2501345138......) = 299183046601 * c9848(8360584486......)

n=74310: c19789(2361796059......) = 297072579571 * c19777(7950232439......)

October 2, 2008 2008 年 10 月 2 日 (Makoto Kamada)

n=75720: c20160(9999000100......) = 299358868561 * c20149(3340138258......)

n=75738: c23280(9100000000......) = 297479550811 * c23269(3059033797......)

n=76468: c32761(1009999999......) = 297276690929 * c32749(3397508216......)

n=76567: x73216(9000000000......) = 295318765867 * x73205(3047554385......)

n=77454: c23744(1210902368......) = 291398368249 * c23732(4155487815......)

n=77540M: c15504(3576409999......) = 297717698981 * c15493(1201275574......)

n=77544: c25777(1000000000......) = 290887162633 * c25765(3437759132......)

n=77548: c38768(1276739880......) = 293367573661 * c38756(4352014316......)

n=78325: x57601(1000010000......) = 291142014151 * x57589(3434784234......)

n=78614: c37577(1099999999......) = 293210959571 * c37565(3751565090......)

n=79175: x63306(1307717392......) = 290353885351 * x63294(4503874267......)

n=79983: x53298(4223778816......) = 294171875191 * x53287(1435820067......)

n=81388: c40683(2233945183......) = 291259573141 * c40671(7669945948......)

n=82113: x54001(1109999999......) = 292582742437 * x53989(3793798604......)

n=82987: x80274(1390393646......) = 299878005799 * x80262(4636530921......)

n=83180L: c16633(2824060999......) = 293821122541 * c16621(9611497550......)

n=83368: c39169(1000099999......) = 293025681329 * c39157(3413011431......)

n=83761: x83749(4767007282......) = 290570929529 * x83738(1640565795......)

n=84445: x67542(5958478894......) = 290370550321 * x67531(2052025898......)

n=84740M: c15985(2796100002......) = 298243785841 * c15973(9375216301......)

n=84980L: c14544(3537460769......) = 293705581541 * c14533(1204424087......)

n=85683: x52721(1900802334......) = 291678984013 * x52709(6516761366......)

n=86062: c41833(1099999999......) = 298273249291 * c41821(3687893576......)

n=86467: x86425(4279533341......) = 297865499083 * x86414(1436733476......)

n=86628: c28861(5383430878......) = 299099629321 * c28850(1799878820......)

n=86721: x57109(4916670981......) = 295519672027 * x57098(1663737289......)

n=86979: x57097(1109999999......) = 294615616717 * x57085(3767621052......)

n=88413: x54372(4226201118......) = 297622913641 * x54361(1419985130......)

n=89028: c29657(1085259166......) = 299670473701 * c29645(3621508495......)

n=89352: c27632(3147452430......) = 293873634937 * c27621(1071022390......)

n=89441: x79121(1111111111......) = 295276581997 * x79109(3762950328......)

n=90537: x59569(1109999999......) = 291626014591 * x59557(3806244794......)

n=90877: x86066(4972982602......) = 295243923911 * x86055(1684364079......)

n=92110: c35990(6379250358......) = 293984447371 * c35979(2169927836......)

n=92607: x61736(9009009009......) = 294882358039 * x61725(3055119698......)

n=93100M: c15121(1000000000......) = 294070315001 * c15109(3400547246......)

n=93506: c40069(1099999890......) = 299435011849 * c40057(3673584739......)

September 30, 2008 2008 年 9 月 30 日 (Kurt Beschorner)

n=4271: c4222(2403805155......) = 1824207012377109819036631 * c4198(1317726079......)

September 30, 2008 2008 年 9 月 30 日 (Yousuke Koide)

n=2231: c2074(1828448405......) = 56598901377221588322441651086802997 * c2039(3230536919......)

n=4725: c2130(4958762870......) = 75437250147629761192104277801 * c2101(6573361118......)

October 1, 2008 2008 年 10 月 1 日 (Makoto Kamada)

n=95379: x63567(1978700364......) = 290668265533 * x63555(6807417936......)

n=96884: x47416(1558970829......) = 293403021181 * x47404(5313410962......)

October 1, 2008 2008 年 10 月 1 日 (Makoto Kamada)

n=65743: c63448(9000000000......) = 289025293471 * c63437(3113914319......)

n=65805: c33920(9009099100......) = 288630600751 * c33909(3121325000......)

n=66028: c31036(1529630919......) = 285318212761 * c31024(5361140128......)

n=67305: c30695(9600124072......) = 287661973831 * c30684(3337293401......)

n=67720: c27073(1000099999......) = 286230905041 * c27061(3494032204......)

n=68161: x68161(1111111111......) = 283085310947 * x68149(3925004470......)

n=68255: x46075(6592941228......) = 280652547121 * x46064(2349147120......)

n=69563: x64200(9000000000......) = 284690751281 * x64189(3161325037......)

n=69923: x59892(9999999000......) = 281259254123 * x59881(3555438213......)

n=70986: c23650(5320666629......) = 288530476447 * c23639(1844057062......)

n=71815: x56161(1111099999......) = 281191488871 * x56149(3951399825......)

n=71844: c23945(1009998990......) = 281738545009 * c23933(3584880407......)

n=72169: x72162(2654475404......) = 280779123683 * x72150(9453962850......)

n=74260M: c14342(1552874725......) = 289115715401 * c14330(5371118354......)

n=74797: x74790(5305362612......) = 286426584643 * x74779(1852259146......)

n=76675: x61320(9999900000......) = 288971666551 * x61309(3460512277......)

n=76866: c24453(2961873071......) = 283525006693 * c24442(1044660259......)

n=77261: x77255(7190587233......) = 286446702721 * x77244(2510270554......)

n=78480: c20715(1187704805......) = 288254057761 * c20703(4120340283......)

n=79535: x63624(9000090000......) = 286515134231 * x63613(3141226736......)

n=81197: x81188(1176624241......) = 288875216477 * x81176(4073122838......)

n=81255: c43329(1109988900......) = 287465239081 * c43317(3861297816......)

n=83412: c23753(3377090222......) = 289383336901 * c23742(1166995397......)

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