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September 30, 2008 2008 年 9 月 30 日 (Alfred Reich)

n=28182: c7196(3899162576......) = 112278491463601 * c7182(3472760032......)

n=28250: c11186(4143410419......) = 3833641051001 * c11174(1080802914......)

n=28444: c13095(4502309876......) = 70933303368929 * c13081(6347244048......)

n=28490: c8641(1099988890......) = 237203598266251 * c8626(4637319577......)

n=28764: c8828(1738252012......) = 59241957016321 * c8814(2934156971......)

n=28924: c12379(2327934522......) = 212756248577881 * c12365(1094179154......)

n=29620M: c5920(3576409999......) = 160553731014161 * c5906(2227547112......)

n=29780L: c5953(2824060999......) = 20805876631721 * c5940(1357338145......)

September 30, 2008 2008 年 9 月 30 日 (Makoto Kamada)

n=86420M: c16577(2796100000......) = 284559627841 * c16565(9826060081......)

n=86740L: c17327(1290857046......) = 280811989261 * c17315(4596872981......)

n=87303: x58200(9009009009......) = 284916134197 * x58189(3161986257......)

n=87665: x68982(5578318300......) = 283659218471 * x68971(1966556324......)

n=90921: x60604(2194112457......) = 282441722293 * x60592(7768372319......)

n=91228: x45608(1085289776......) = 287735483929 * x45596(3771831549......)

n=91907: x90576(9000000000......) = 282243639791 * x90565(3188734388......)

n=91977: x55440(9009009009......) = 280757033191 * x55429(3208827542......)

n=92872: c39744(9999000099......) = 280441027673 * c39733(3565455519......)

n=93575: x70561(1000010000......) = 284534063951 * x70549(3514552831......)

n=95548: x47761(1971823812......) = 281458705589 * x47749(7005730408......)

n=97083: x52257(1073786329......) = 283631091157 * x52245(3785855511......)

n=97654: x48361(1099999999......) = 288311228251 * x48349(3815321403......)

n=97808: x48896(9999999900......) = 285569039521 * x48885(3501780135......)

n=97833: x65220(9009009009......) = 282940275643 * x65209(3184067375......)

n=98467: x98467(1111111111......) = 285692153801 * x98455(3889190152......)

September 30, 2008 2008 年 9 月 30 日 (Makoto Kamada)

n=66218: c32697(1065541836......) = 279262230889 * c32685(3815560140......)

n=67147: x66247(2181192562......) = 275310623347 * x66235(7922660360......)

n=67230: c17712(9999999999......) = 271172944531 * c17701(3687683525......)

n=67797: c43730(4286096458......) = 273364690483 * c43719(1567904198......)

n=67975: x54344(1154730983......) = 279468608401 * x54332(4131880824......)

n=68712: c19577(8039802368......) = 275992810633 * c19566(2913047752......)

n=70180L: c12313(1897327703......) = 275505976901 * c12301(6886702511......)

n=71427: x45921(1109999999......) = 277575893197 * x45909(3998906343......)

n=73169: x69300(9000000000......) = 274400432533 * x69289(3279878211......)

n=74332: c37159(1479992959......) = 270341395741 * c37147(5474533248......)

n=75539: x75539(1111111111......) = 270305584963 * x75527(4110574005......)

n=76380L: c9504(3952674096......) = 279719217901 * c9493(1413086353......)

n=76853: x65868(9000000900......) = 273274358519 * x65857(3293393843......)

n=79391: x70548(3264526614......) = 278609059249 * x70537(1171723067......)

n=79439: x72577(1111111111......) = 275068023449 * x72565(4039404861......)

September 28, 2008 2008 年 9 月 28 日 (Torbjörn Granlund)

n=709: c693(1390345763......) = 2039964190840174286557361738937208489 * c656(6815540046......)

September 28, 2008 2008 年 9 月 28 日 (Kurt Beschorner)

n=4261: c4225(9596792743......) = 90366365340548897220492721 * c4200(1061987245......)

n=6813: c4527(3164798411......) = 740551875248246541395410351 * c4500(4273567480......)

September 29, 2008 2008 年 9 月 29 日 (Makoto Kamada)

n=81075: c40469(4291781978......) = 278359175551 * c40458(1541814445......)

n=81362: c38249(5471436101......) = 271732644877 * c38238(2013536542......)

n=81537: x54350(3946063514......) = 273600175759 * x54339(1442273750......)

n=82670: c28320(9091000909......) = 278660067841 * c28309(3262398153......)

n=84718: c42358(9090909090......) = 278981118209 * c42347(3258610887......)

n=86658: c23992(1572336780......) = 272674249849 * c23980(5766355941......)

n=86970: c21284(1199580266......) = 270415212211 * c21272(4436067987......)

n=87133: x87133(1111111111......) = 275033049043 * x87121(4039918529......)

n=87460M: c17488(3576409999......) = 270844378801 * c17477(1320466762......)

n=88368: c25145(9430260347......) = 279586543153 * c25134(3372930700......)

n=89921: x82992(9000000000......) = 277175727557 * x82981(3247037566......)

n=91126: c37219(9976088316......) = 274880029859 * c37208(3629251758......)

n=92280: c24576(9999000100......) = 278296732081 * c24565(3592927601......)

n=93855: x50043(5913286381......) = 278264495071 * x50032(2125059605......)

n=93966: c31321(1098901098......) = 270881614093 * c31309(4056757792......)

n=94285: x74305(1111099999......) = 271563428401 * x74293(4091493492......)

n=94917: x61034(2016280282......) = 279631936357 * x61022(7210479278......)

n=94948: c40676(1063728949......) = 271100277001 * c40664(3923747186......)

n=95220L: c12145(1000000000......) = 274463651521 * c12133(3643469707......)

n=96357: x64236(9009009009......) = 277753870351 * x64225(3243522402......)

n=97739: x95410(7047548407......) = 274302353243 * x95399(2569262831......)

n=98180M: c19624(1791152432......) = 277000339361 * c19612(6466246345......)

n=98305: x78633(4975690952......) = 270458092271 * x78622(1839727149......)

n=98437: x97696(9000000000......) = 277511424787 * x97685(3243109723......)

n=99052: x49515(5492472004......) = 279576647249 * x49504(1964567519......)

n=99742: x49870(9090909090......) = 277599440851 * x49859(3274829755......)

n=99754: x49876(9090909090......) = 270783928819 * x49865(3357255776......)

September 29, 2008 2008 年 9 月 29 日 (Makoto Kamada)

n=65765: c45073(1111099888......) = 263764474681 * c45061(4212469818......)

n=66149: x63840(9000000000......) = 265552646839 * x63829(3389158461......)

n=66639: c43771(8328393820......) = 260129468119 * c43760(3201634125......)

n=66671: x55427(5481736398......) = 263378318479 * x55416(2081316499......)

n=67607: x67607(1111111111......) = 267598511837 * x67595(4152157287......)

n=68050: c27201(1000009999......) = 261232585651 * c27189(3828044642......)

n=68996: c33665(4879509687......) = 261300823249 * c33654(1867391624......)

n=70580M: c14112(3576409999......) = 266365461581 * c14101(1342670321......)

n=71652: c20448(9901000000......) = 266189616169 * c20437(3719529011......)

n=72172: c36084(9900990099......) = 267705434441 * c36073(3698464366......)

n=72580L: c13675(6420716409......) = 264461415341 * c13664(2427846195......)

n=72961: x62486(4715782797......) = 262554536161 * x62475(1796115529......)

September 28, 2008 2008 年 9 月 28 日 (Alfred Reich)

n=12001: c10883(6790852326......) = 545550807756193427 * c10866(1244769915......)

n=12007: c12007(1111111111......) = 51631948597721 * c11993(2151983687......)

n=12011: c12011(1111111111......) = 537596961468606751 * c11993(2066810623......)

n=12015: c6330(8669710899......) = 19287916267591 * c6317(4494892439......)

n=12037: c12026(1644003047......) = 31821088626656539489 * c12006(5166394736......)

n=12039: c8024(9009009009......) = 5698233048799 * x8012(1581017998......)

n=12039: x8012(1581017998......) = 128892205484775373 * c7995(1226620331......)

n=12055: c9635(7465794560......) = 216700302148081 * c9621(3445216497......)

n=12067: c10960(9000000000......) = 2713927724617253 * c10945(3316226853......)

n=12071: c12071(1111111111......) = 36320816394529720054951 * c12048(3059157864......)

n=12085: c9643(3849959490......) = 14390374818881 * c9630(2675371238......)

n=12109: c12099(1198873157......) = 156525700489889 * c12084(7659273549......)

n=12127: c11880(9000000000......) = 68761830903613 * c11867(1308865671......)

n=12129: c7441(1109999999......) = 5461531682332441 * c7425(2032396888......)

n=12135: c6437(8282530523......) = 3516576231567871 * c6422(2355282518......)

n=12141: c7551(9309634615......) = 7063026288739129 * c7536(1318080131......)

n=12147: c8096(9009009009......) = 3075547705403917 * c8081(2929237284......)

n=12149: c12149(1111111111......) = 10101515811889 * c12136(1099944930......)

n=12151: c11692(3680927460......) = 6362678289329 * x11679(5785185567......)

n=12151: x11679(5785185567......) = 1596576329936881 * c11664(3623494510......)

n=12155: c7672(5038401162......) = 26480490344881 * x7659(1902684239......)

n=12155: x7659(1902684239......) = 194698265317271 * c7644(9772476586......)

n=12159: c6894(1848789312......) = 3701664195391 * c6881(4994481441......)

n=12181: c11218(1277235933......) = 106601395158705071 * c11201(1198141855......)

n=12187: c10440(9000000900......) = 1540568965253913281 * c10422(5841998055......)

n=12205: c9748(2927256424......) = 3914350130527951 * c9732(7478269258......)

n=12213: c7657(1001000999......) = 115471155399373 * x7642(8668840253......)

n=12213: x7642(8668840253......) = 4205850510759049 * x7627(2061138461......)

n=12213: x7627(2061138461......) = 201212562489260401801 * c7607(1024358736......)

n=12235: c9784(9000090000......) = 5764945147081 * c9772(1561175305......)

n=12249: c8152(2934573906......) = 49507372231921 * c8138(5927549321......)

n=12253: c12245(2498091963......) = 57120034011323 * c12231(4373407696......)

n=12255: c6048(9009099100......) = 10222937371081 * x6035(8812632585......)

n=12255: x6035(8812632585......) = 166681113560791 * c6021(5287121256......)

n=12261: c7921(1109999999......) = 2981772960915841 * c7905(3722617431......)

n=12263: c12263(1111111111......) = 5851231616958643409797 * c12241(1898935444......)

n=12265: c8874(1864014356......) = 743794098204961 * c8859(2506089199......)

n=12271: c10512(9000000900......) = 350526278366839 * c10498(2567568098......)

n=12275: c9800(9999900000......) = 48135081975925001 * c9784(2077466078......)

n=12279: c8171(1902400264......) = 8411002205107 * c8158(2261799745......)

n=12297: c8191(1263133477......) = 77888404818907 * c8177(1621722104......)

n=12303: c8175(1009612015......) = 19113430594591 * x8161(5282212474......)

n=12303: x8161(5282212474......) = 155559068172037 * c8147(3395631342......)

n=12305: c9323(1672157249......) = 120122976549551 * c9309(1392037808......)

n=12315: c6550(4945041938......) = 4935125316481 * x6538(1002009396......)

n=12315: x6538(1002009396......) = 6326328428551 * c6525(1583871921......)

n=12333: c8213(2931299794......) = 5659325749117 * x8200(5179591924......)

n=12333: x8200(5179591924......) = 88321456693548493 * c8183(5864477464......)

n=12341: c10076(4501523315......) = 49856158426297231 * c10059(9029021604......)

n=12343: c12343(1111111111......) = 43942534992841 * c12329(2528554875......)

n=12351: c7814(7649989319......) = 98309181217503679 * c7797(7781561421......)

n=12357: c8215(5560709569......) = 319825386818083 * c8201(1738670474......)

n=12359: c11605(7595215846......) = 905966331971839 * c11590(8383551991......)

n=12361: c12052(9000000000......) = 2534289448365361 * c12037(3551291272......)

n=12379: c12364(2051258847......) = 54325817420597 * x12350(3775845343......)

n=12379: x12350(3775845343......) = 809370948931879 * c12335(4665160453......)

n=12393: c7769(2284561456......) = 27243864577693 * c7755(8385599812......)

n=12449: c12180(9000000000......) = 3624122778319 * c12168(2483359574......)

n=12451: c12451(1111111111......) = 10856431756717 * c12438(1023458845......)

n=12461: c11708(3611122256......) = 13478759721381601 * c11692(2679120580......)

n=12465: c6604(3776954998......) = 3102841549081 * c6592(1217256807......)

n=12475: c9960(9999900000......) = 17546345208551 * c9947(5699135564......)

n=12479: c12479(1111111111......) = 38712993124129 * c12465(2870124527......)

n=12485: c9030(9150589861......) = 19725307267711 * c9017(4639010047......)

n=12487: c12467(2233709355......) = 63519400624243 * c12453(3516578137......)

n=12489: c7909(7544846203......) = 607565015223853 * c7895(1241817091......)

n=12497: c12497(1111111111......) = 88671228435861551 * c12480(1253068363......)

n=12509: c10701(3485199918......) = 5594898353507 * c10688(6229246177......)

n=12519: c7628(1998923657......) = 400588231547557 * c7613(4989970998......)

n=12523: c10720(8656681499......) = 6504779956632813241 * c10702(1330818499......)

n=12537: c7129(1001000999......) = 23636808417853 * c7115(4234924539......)

n=12549: c8091(4020588309......) = 71121845740963 * c8077(5653098943......)

n=12575: c10034(1577818552......) = 21761918840227351 * c10017(7250365025......)

n=12583: c12583(1111111111......) = 983557436088679 * c12568(1129686046......)

n=12607: c10800(9000000900......) = 457121804040763 * c10786(1968840869......)

n=12621: c7182(1913959449......) = 17937796841207209 * c7166(1066998063......)

n=12629: c12379(1619645945......) = 28953123351373877 * c12362(5594028408......)

n=12635: c8203(3044038099......) = 239832518451191 * x8189(1269234930......)

n=12635: x8189(1269234930......) = 33978070818427879711 * c8169(3735453190......)

n=12639: c7641(1109999999......) = 119613950553637 * c7626(9279854020......)

n=12643: c12319(5751909847......) = 510814030626733 * c12305(1126028163......)

n=12661: c11493(4201207399......) = 5367288621883 * c11480(7827429629......)

n=12663: c7113(7855799283......) = 588865889409841 * c7099(1334055754......)

n=12669: c8161(1109999999......) = 18029737222351 * c8147(6156495717......)

n=12677: c10851(9739446574......) = 33918173808175609 * c10835(2871453701......)

n=12687: c8446(4414602614......) = 35765548499209 * c8433(1234317045......)

n=12693: c8460(9009009009......) = 2830282602923161 * c8445(3183077548......)

n=12701: c11712(9000000000......) = 1314550882014169806917 * c11691(6846444761......)

n=12703: c12672(2019939243......) = 714107717619551 * c12657(2828619819......)

n=12709: c12460(9000000000......) = 4900916767121 * x12448(1836391113......)

n=12709: x12448(1836391113......) = 734046836872597 * c12433(2501735613......)

n=12727: c10561(1111111111......) = 1620544462903081 * c10545(6856406205......)

n=12735: c6755(1302266482......) = 99712055237401 * c6741(1306027119......)

n=12745: c10179(3259545105......) = 23236621065191 * c10166(1402762086......)

n=12753: c7777(1001000999......) = 248711688261973 * c7762(4024744502......)

n=12767: c11984(3936317787......) = 2500048973321239 * c11969(1574496271......)

n=12783: c8497(1101946777......) = 16069961267329399 * c8480(6857183780......)

n=12801: c7984(1874747436......) = 19098628629403 * c7970(9816136396......)

n=12817: c10980(9000000900......) = 82795845180099211441 * c10961(1087011175......)

n=12819: c8544(9009009009......) = 734207584796758027 * c8527(1227038401......)

n=12837: c7746(5621504540......) = 105303104635609 * c7732(5338403421......)

n=12839: c12445(2407244033......) = 402859374450839 * c12430(5975395351......)

n=12849: c8555(2748811154......) = 75146990413249 * c8541(3657912498......)

n=12855: c6849(1109988900......) = 31170363433441 * x6835(3561039326......)

n=12855: x6835(3561039326......) = 33981691489231 * c6822(1047928802......)

n=12863: c12163(1060121866......) = 52582174231283 * c12149(2016124061......)

n=12867: c8571(2917340171......) = 15424883815042711 * c8555(1891320677......)

n=12879: c8415(2153071307......) = 85323004213591 * c8401(2523435885......)

n=12895: c10307(6979465068......) = 266765266995711361 * c10290(2616332008......)

n=12897: c8585(6328420715......) = 26180653217454163 * c8569(2417212688......)

n=12907: c12891(8777474183......) = 23502032953837 * c12878(3734772307......)

n=12913: c12520(1830187601......) = 1486216200643157 * c12505(1231441024......)

n=12917: c12917(1111111111......) = 63398460112907 * c12903(1752583752......)

n=12929: c11068(9118543146......) = 6224478571039 * c11056(1464948917......)

n=12935: c9505(1111099999......) = 7406225675551 * c9492(1500224336......)

n=12941: c12941(1111111111......) = 1426466054162563 * c12925(7789257289......)

n=12949: c12360(1737552367......) = 8132387881997081 * c12344(2136583243......)

n=12975: c6876(3853454587......) = 4936694824170601 * c6860(7805737897......)

n=12979: c12972(1813736481......) = 2002436134202920721 * c12953(9057649584......)

n=12997: c12635(1731165401......) = 18530056393310532335519 * c12612(9342472384......)

n=24042: c8001(1777606182......) = 41085154681213 * c7987(4326638652......)

n=28220M: c5248(3540999964......) = 15147240943721 * c5235(2337719441......)

n=28364: c12136(1823272799......) = 6273600773749 * c12123(2906262073......)

n=28372: c13761(1009999999......) = 49425320430169 * c13747(2043487004......)

n=28784: c12278(4369788578......) = 170191825509889 * c12264(2567566664......)

n=28900M: c5441(1000000000......) = 1361926259831701601 * c5422(7342541439......)

September 28, 2008 2008 年 9 月 28 日 (Yousuke Koide)

n=2267: c2258(7540369200......) = 28964388984354140663903049881 * p2230(2603324104......)

n=4389: c2160(9009009910......) = 306804748532035662410041 * c2137(2936398459......)

September 28, 2008 2008 年 9 月 28 日 (Makoto Kamada)

n=75088: c32817(4314784237......) = 263697717713 * c32806(1636261502......)

n=75201: c42961(1109999889......) = 268233544489 * c42949(4138184473......)

n=75965: x60761(2704949657......) = 267038700991 * x60750(1012942935......)

n=76024: c32248(4593931407......) = 264547783033 * c32237(1736522361......)

n=76065: c36791(3723575221......) = 260733020791 * c36780(1428118007......)

n=77580M: c10315(7122258105......) = 268758376921 * c10304(2650059948......)

n=78069: x50961(1109999999......) = 266399064427 * x50949(4166681299......)

n=81225: c41041(1000000000......) = 264665489401 * c41029(3778354338......)

n=82254: c27407(2326932448......) = 269964948607 * c27395(8619387296......)

n=82756: c38906(8136362208......) = 268495469789 * c38895(3030353627......)

n=84353: x83028(9000000000......) = 266724692119 * x83017(3374265775......)

n=85088: c42528(9999999999......) = 263528597441 * c42517(3794654582......)

n=85389: x56912(9652987995......) = 263798898043 * x56901(3659222258......)

n=85771: x73512(9000000900......) = 264686561329 * x73501(3400248525......)

n=86101: x83104(9000000000......) = 264167855717 * x83093(3406924728......)

n=86294: c39817(1099999999......) = 262892254769 * c39805(4184223688......)

n=86467: x86437(1140576050......) = 266518790507 * x86425(4279533341......)

n=87261: x51958(6088967738......) = 265305901093 * x51947(2295074369......)

n=88004: c37633(1000000000......) = 267873615521 * c37621(3733103755......)

n=90194: c41604(4292647084......) = 267450464321 * c41593(1605025100......)

n=91304: x44801(1000099999......) = 263797251577 * x44789(3791169142......)

n=92125: x65982(1750488168......) = 261172716751 * x65970(6702415897......)

n=93886: c41169(6263135470......) = 266779134493 * c41158(2347685654......)

n=95666: x46252(2657960688......) = 262251884449 * x46241(1013514428......)

n=95685: x51025(1109988900......) = 264637726831 * x51013(4194371351......)

n=96203: x90528(9000000000......) = 263112703723 * x90517(3420587403......)

n=96769: x96763(2870517005......) = 260010948557 * x96752(1103998513......)

n=97588: x47145(3022524918......) = 262688451869 * x47134(1150612026......)

n=98417: x85353(6005227923......) = 264417347569 * x85342(2271117223......)

n=99654: c31226(2853622642......) = 269908872841 * c31215(1057254106......)

September 27, 2008 2008 年 9 月 27 日 (Kurt Beschorner)

n=4457: c4441(1225150817......) = 2132472089413877140860241 * c4416(5745213845......)

n=4463: c4426(1439933727......) = 574482486093377181197 * c4405(2506488470......)

n=4463: c4405(2506488470......) = 293756537669157775495262443 * c4378(8532536808......)

September 27, 2008 2008 年 9 月 27 日 (Makoto Kamada)

n=65598: c19488(9999999999......) = 251550552943 * c19477(3975344074......)

n=66153: x44100(9009009009......) = 258803766601 * x44089(3481019278......)

n=66184: c33075(7852416450......) = 254459544137 * c33064(3085919405......)

n=66408: c22123(1673323037......) = 255417586297 * c22111(6551322726......)

n=67502: c33744(6413145203......) = 253908705499 * c33733(2525768145......)

n=67957: x67942(5928354704......) = 259224287039 * x67931(2286959594......)

n=68216: c34104(9999000099......) = 252940835041 * c34093(3953098398......)

n=68305: x51697(1111099999......) = 250416375751 * x51685(4437010146......)

n=68813: x68802(5214875755......) = 250763930569 * x68791(2079595635......)

n=70192: c33921(1000000009......) = 252927255697 * c33909(3953706006......)

n=70752: c21106(2837027671......) = 254843043841 * c21095(1113245089......)

n=70845: c37771(2611302347......) = 256086963751 * c37760(1019693587......)

n=70860M: c9440(3913542626......) = 256691200321 * c9429(1524611136......)

n=71901: x47916(9999999990......) = 255036298249 * x47905(3921010483......)

n=72735: c35712(9009099100......) = 255466995031 * c35701(3526521732......)

n=72881: x70485(9297173473......) = 257257977517 * x70474(3613949531......)

n=72947: x58733(5684370932......) = 256698012803 * x58722(2214419531......)

n=73640: c25146(7543449028......) = 254458748881 * c25135(2964507631......)

n=74092: c37044(9900990099......) = 252152413529 * c37033(3926589462......)

n=76998: c24947(1293642804......) = 250961121361 * c24935(5154753842......)

n=77891: x69115(1188744444......) = 250513034201 * x69103(4745239896......)

n=78157: x78157(1111111111......) = 252336596003 * x78145(4403289608......)

n=80306: c40142(5021284859......) = 255545818207 * c40131(1964925466......)

n=80555: x64433(3103500607......) = 258075664601 * x64422(1202554534......)

n=81445: x51257(1315537328......) = 252042140351 * x51245(5219513398......)

n=82342: c37993(1099999999......) = 253618218179 * c37981(4337227853......)

n=82751: x81672(9000000000......) = 250863132043 * x81661(3587613662......)

n=82975: x66360(9999900000......) = 256637194351 * x66349(3896512360......)

n=83284: c40665(1009999999......) = 257137018049 * c40653(3927866970......)

n=84531: x53353(1109999999......) = 259714565959 * x53341(4273922780......)

n=84744: c25440(9999999999......) = 255563243497 * c25429(3912925764......)

n=85812: c28601(1009998990......) = 258100957189 * c28589(3913193507......)

n=87174: c27881(2563724859......) = 250104559699 * c27870(1025061223......)

n=87471: x58308(9990000009......) = 250111078561 * x58297(3994225312......)

n=88490: c35393(1099989000......) = 256270933561 * c35381(4292289354......)

n=89834: x44910(1686612233......) = 259246281059 * x44898(6505830003......)

n=90288: c25909(4185928258......) = 256388756977 * c25898(1632648914......)

n=90618: c27440(9100000000......) = 254727198001 * c27429(3572449299......)

n=90949: x89949(1345257672......) = 255714754973 * x89937(5260774538......)

n=92740M: c18536(4623960896......) = 250136194981 * c18525(1848577290......)

n=92783: x86401(1111111111......) = 250168947241 * x86389(4441442966......)

n=93145: x68737(1111099999......) = 256507917121 * x68725(4331640178......)

n=93597: x53466(8470960164......) = 250919891839 * x53455(3375961986......)

n=94080: c21504(9999999999......) = 253344645121 * c21493(3947192171......)

n=94915: x73921(1111099999......) = 259101434791 * x73909(4288281926......)

September 26, 2008 2008 年 9 月 26 日 (Torbjörn Granlund)

n=1798: c789(1477272763......) = 19139674963189505655771688512382087 * c754(7718379575......)

September 26, 2008 2008 年 9 月 26 日 (Yousuke Koide)

n=2243: c2221(1236902152......) = 1518765916903243341811202999 * c2193(8144126349......)

n=4155: c2176(2086341337......) = 31520190201525677796961364521 * c2147(6619063286......)

September 24, 2008 2008 年 9 月 24 日 (Kurt Beschorner)

n=4229: c4229(1111111111......) = 9998227206719552755082243363 * c4201(1111308123......)

n=4231: c4203(1496523460......) = 3749885204381068575110086159 * c4175(3990851396......)

n=4239: c2792(6837487864......) = 1017919542933682849 * c2774(6717120141......)

n=4247: c4070(2177484707......) = 1512545409651890208043 * c4049(1439616089......)

September 26, 2008 2008 年 9 月 26 日 (Makoto Kamada)

n=95558: x47754(7601002656......) = 255248509447 * x47743(2977883268......)

n=95878: x47938(9090909090......) = 253269023729 * x47927(3589427935......)

n=98082: c32682(3925285461......) = 256261293451 * c32671(1531751209......)

n=98740M: c19745(2824060999......) = 251064914381 * c19734(1124832996......)

n=98845: x77365(7148291662......) = 257628817241 * x77354(2774647548......)

n=99104: x46657(1000000000......) = 257891401921 * x46645(3877601162......)

n=99189: x64865(4136005953......) = 256238712883 * x64854(1614122201......)

September 26, 2008 2008 年 9 月 26 日 (Makoto Kamada)

n=65779: c56369(1318129033......) = 244188355867 * c56357(5398001182......)

n=66357: c43190(7706380254......) = 240872459437 * c43179(3199361301......)

n=67460L: c13471(1549182118......) = 244104010001 * c13459(6346401757......)

n=67616: c33792(9999999999......) = 248769947329 * c33781(4019778155......)

n=69726: c23224(5803694798......) = 240531411517 * c23213(2412863568......)

n=69741: c38866(7469800380......) = 241831938853 * c38855(3088839470......)

n=70444: c31994(5735048699......) = 247218075589 * c31983(2319833889......)

n=70650: c18720(9999999999......) = 248639110201 * c18709(4021893414......)

n=70903: x60732(9999999000......) = 243015778321 * x60721(4114958736......)

n=71039: x71030(1611131107......) = 240623158723 * x71018(6695661031......)

n=73289: x72315(3516652685......) = 243216142511 * x72304(1445896086......)

n=75286: c37637(4025037342......) = 246856996979 * c37626(1630513775......)

n=75586: c32383(2078990083......) = 242828188289 * c32371(8561568151......)

n=76835: x55434(2711437194......) = 242072201911 * x55423(1120094407......)

n=77310: c20592(9990010000......) = 248629501171 * c20581(4018030826......)

n=77487: x49369(1109999999......) = 241594702639 * x49357(4594471600......)

n=77647: x77633(1538334382......) = 248432818853 * x77621(6192154441......)

n=78503: x75759(7110226996......) = 245273360147 * x75748(2898899004......)

n=79219: x67896(9000000900......) = 247891461049 * x67885(3630621588......)

n=82965: x44241(1109988900......) = 243792320641 * x44229(4553010107......)

n=83111: x68752(3145647165......) = 249411290563 * x68741(1261228855......)

n=83437: x83437(1111111111......) = 247342645289 * x83425(4492193854......)

n=83976: c27975(5314303903......) = 243448943281 * c27964(2182923380......)

September 25, 2008 2008 年 9 月 25 日 (Makoto Kamada)

n=86259: x57499(5222038737......) = 246185946289 * x57488(2121176621......)

n=86690: c34666(2883809372......) = 242295169091 * c34655(1190205063......)

n=86772: c24758(2119864747......) = 246199931041 * c24746(8610338509......)

n=86839: x84456(9000000000......) = 240457191001 * x84445(3742869973......)

n=86856: c22058(2041026788......) = 244332702769 * c22046(8353473626......)

n=86865: x46314(2662149680......) = 247872404641 * x46303(1074000022......)

n=87799: x83150(3069508859......) = 244118797973 * x83139(1257383243......)

n=89007: x59336(9009009009......) = 248201359921 * x59325(3629717827......)

n=89565: c40886(9390149643......) = 249215508151 * c40875(3767883352......)

n=90491: x85152(9000000000......) = 243183522599 * x85141(3700908640......)

n=90869: x89753(2089529028......) = 244353101831 * x89741(8551268688......)

n=91003: x82720(9000000000......) = 249146375347 * x82709(3612334310......)

n=91046: x45522(9090909090......) = 241668405331 * x45511(3761728422......)

n=91810: c36716(1198101534......) = 245972577881 * c36704(4870874408......)

n=92334: c27955(1407929894......) = 248221307533 * c27943(5672075086......)

n=92640: c24576(9999999999......) = 243897774721 * c24565(4100078408......)

n=92902: x46450(9090909090......) = 247302615647 * x46439(3676026259......)

n=93101: x92344(1643475153......) = 244840920043 * x92332(6712420265......)

n=94022: x46062(4734390669......) = 244295576183 * x46051(1937976423......)

n=94960: c37953(1000000009......) = 245755530401 * c37941(4069084461......)

n=95973: x63971(3299945328......) = 246130052449 * x63960(1340732387......)

n=98584: x49288(9999000099......) = 245178703753 * x49277(4078249842......)

n=98948: x47713(1009999999......) = 244859689241 * x47701(4124811246......)

September 25, 2008 2008 年 9 月 25 日 (Makoto Kamada)

n=65557: c65557(1111111111......) = 238388065837 * c65545(4660934293......)

n=65558: c32771(1273367417......) = 238408943939 * c32759(5341105901......)

n=66008: c31969(1000099999......) = 233062762609 * c31957(4291118790......)

n=66497: x64169(1748636291......) = 233746131587 * x64157(7480920775......)

n=66596: c33274(1379534017......) = 233242833581 * c33262(5914582651......)

n=67103: x67075(4180368494......) = 232782051679 * x67064(1795829388......)

n=67660M: c12666(5233512756......) = 237035781421 * c12655(2207899889......)

n=69091: x62694(6578934383......) = 235332236921 * x62683(2795594207......)

n=69852: c23267(1162902075......) = 235159202821 * c23255(4945169320......)

n=69990: c18656(9100090999......) = 234234133201 * c18645(3885040525......)

n=71290: c28491(6780647771......) = 231681735211 * c28480(2926707953......)

n=71412: c21600(9901000000......) = 235904114689 * c21589(4197044215......)

n=71507: x68376(9000000000......) = 238080697319 * x68365(3780230863......)

n=73607: x73598(3465377095......) = 238042535363 * x73587(1455780619......)

n=73684: c33687(2149765142......) = 232107694729 * c33675(9261929661......)

n=74460M: c9216(3952674060......) = 237351897781 * c9205(1665322290......)

n=74765: x56585(1803547526......) = 232328798311 * x56573(7762909891......)

n=75009: x45441(1109999999......) = 238855059169 * x45429(4647169726......)

n=75082: c30960(9090910000......) = 233580402329 * c30949(3891983192......)

n=75877: x72556(9000000000......) = 239153225959 * x72545(3763277691......)

n=76348: c38172(9900990099......) = 237465947881 * c38161(4169435739......)

n=77373: x51562(4624033751......) = 239204509849 * x51551(1933088031......)

n=77556: c24632(3918434367......) = 237550925761 * c24621(1649513406......)

n=79148: c38634(2835755564......) = 237915009749 * c38623(1191919571......)

n=79473: x51962(1703293356......) = 238008124591 * x51950(7156450474......)

September 24, 2008 2008 年 9 月 24 日 (Makoto Kamada)

n=80629: x80618(4777246014......) = 230476706437 * x80607(2072767390......)

n=81075: c40480(9999900000......) = 233001118201 * c40469(4291781978......)

n=82059: x51457(1109999999......) = 230667684883 * x51445(4812117486......)

n=83176: c40297(5612958363......) = 230237073497 * c40286(2437903799......)

n=83494: c41249(6861770078......) = 231705368317 * c41238(2961420414......)

n=83739: x55069(6379362096......) = 233008624363 * x55058(2737822307......)

n=83761: x83761(1111111111......) = 233083577443 * x83749(4767007282......)

n=84124: c42053(3566520757......) = 235550985581 * c42042(1514118375......)

n=85105: x68074(1201735930......) = 235023074431 * x68062(5113267849......)

n=87684: c29225(1009998990......) = 233677421581 * c29213(4322193317......)

n=87996: c29329(1009998990......) = 235409363089 * c29317(4290394301......)

n=88701: x59126(2672789642......) = 233018591413 * x59115(1147028495......)

n=89804: c37430(2052806470......) = 239794640801 * c37418(8560685357......)

n=89897: x89897(1111111111......) = 230282672317 * x89885(4824987915......)

n=90288: c25920(9999999999......) = 238895637553 * c25909(4185928258......)

n=90351: x60228(9990000009......) = 233388559333 * x60217(4280415474......)

n=90737: x87763(2719476316......) = 236128887529 * x87752(1151691495......)

n=90984: c28416(9999000100......) = 232956343441 * c28405(4292220573......)

n=91900M: c18360(9900498007......) = 238312690601 * c18349(4154414934......)

n=92363: x92357(1002484859......) = 239168446721 * x92345(4191543127......)

n=94646: x46009(1099999999......) = 238510096859 * x45997(4611964082......)

n=95832: c29034(1932393661......) = 236822338369 * c29022(8159676469......)

n=95834: x47891(1799411009......) = 238144135811 * x47879(7555974466......)

n=97773: x57024(9009009009......) = 230188929361 * x57013(3913745562......)

n=98083: x95730(2398936283......) = 236476739839 * x95719(1014449152......)

n=99969: x65126(4611293779......) = 230003676751 * x65115(2004878289......)

September 24, 2008 2008 年 9 月 24 日 (Makoto Kamada)

n=65813: c57588(1187618783......) = 222701451677 * c57576(5332784203......)

n=67154: c33567(2122349329......) = 224912378263 * c33555(9436338481......)

n=67227: x44797(2092005245......) = 226740267613 * x44785(9226438988......)

n=67380L: c8958(3755396979......) = 225038486581 * c8947(1668779877......)

n=68283: x45360(9999999999......) = 222873936643 * x45349(4486841373......)

n=69200: c27508(2474242210......) = 226499488801 * c27497(1092383132......)

n=70230: c18693(4182492987......) = 225625392721 * c18682(1853733277......)

n=70284: c23415(1091533347......) = 226793606029 * c23403(4812892948......)

n=70386: c23461(1098901098......) = 229548594853 * c23449(4787226424......)

n=70580L: c14108(2000595773......) = 222814848961 * c14096(8978736303......)

n=71593: x71582(3345641544......) = 225715117123 * x71571(1482240794......)

n=72151: x68992(9000000000......) = 224721937507 * x68981(4004949449......)

n=72615: c37522(2627571989......) = 226077217321 * c37511(1162245369......)

n=73354: c36676(9090909090......) = 223395132407 * c36665(4069430248......)

n=73455: c38048(9009099100......) = 222408224281 * c38037(4050704118......)

n=74492: c33841(1009999999......) = 222868145281 * c33829(4531827546......)

September 23, 2008 2008 年 9 月 23 日 (Yousuke Koide)

n=882: c242(6288781721......) = 521360091675342950454314391509789458781157156524647 * p192(1206226142......)

n=3759: c2110(8812838006......) = 490769233812793548292748827879 * c2081(1795719331......)

September 20, 2008 2008 年 9 月 20 日 (Kurt Beschorner)

n=4217: c4217(1111111111......) = 2090753136858255538076563369 * c4189(5314406045......)

September 23, 2008 2008 年 9 月 23 日 (Makoto Kamada)

n=76025: x60800(9999900000......) = 220649486201 * x60789(4532029587......)

n=76212: c24185(1435588613......) = 223952772601 * c24173(6410229248......)

n=76476: c25482(4002042192......) = 221897025901 * c25471(1803558284......)

n=76571: x69584(2381416740......) = 229640410693 * x69573(1037019892......)

n=77128: c37195(1852390363......) = 221743000001 * c37183(8353771543......)

n=77356: c38049(1009999999......) = 220652188301 * c38037(4577339603......)

n=77581: x66492(9000000900......) = 229375674277 * x66481(3923694580......)

n=80943: x53960(9009009009......) = 224695825369 * x53949(4009424293......)

n=81371: x81353(1027269033......) = 225929185373 * x81341(4546862910......)

n=81614: c36288(9090909090......) = 220848953053 * c36277(4116346926......)

n=81967: x81967(1111111111......) = 222585978653 * x81955(4991828855......)

n=82568: c41280(9999000099......) = 223648391177 * c41269(4470857155......)

n=82957: x71064(9999999000......) = 220322841677 * x71053(4538793583......)

n=84107: x83400(9000000000......) = 228488272267 * x83389(3938933018......)

n=84206: c41434(1632900025......) = 223825274009 * c41422(7295422883......)

n=84803: x84032(3212676590......) = 226689782603 * x84021(1417212789......)

n=84996: c28288(1580290063......) = 221676622669 * c28276(7128807920......)

n=85696: c39153(2650908125......) = 228288230977 * c39142(1161211033......)

n=85999: x85983(5428171368......) = 227728103969 * x85972(2383619445......)

n=86191: x73836(9999999000......) = 222995251403 * x73825(4484399975......)

n=86721: x57121(1109999999......) = 225762513721 * x57109(4916670981......)

n=86970: c21295(2699925690......) = 225072533011 * c21284(1199580266......)

n=87485: x69984(9000090000......) = 223708768351 * x69973(4023127956......)

n=88086: c28697(3432163680......) = 220569634237 * c28686(1556045415......)

n=88190: c35258(6316204085......) = 223982051731 * c35247(2819959919......)

n=88869: x53841(1109999999......) = 223973696893 * x53829(4955939091......)

n=89347: x87400(9000000000......) = 221552505043 * x87389(4062242491......)

n=91367: x91367(1111111111......) = 227013737413 * x91355(4894466404......)

n=92232: c25920(9999999999......) = 228326218849 * c25909(4379698507......)

n=92501: x91872(9000000000......) = 222371478991 * x91861(4047281621......)

n=92918: c39788(1334277383......) = 229785842329 * c39776(5806612669......)

n=93112: x45681(3061050240......) = 225083455193 * x45670(1359962347......)

n=93125: x74000(9999999999......) = 225393790001 * x73989(4436679466......)

n=93207: x62136(9009009009......) = 221861367757 * x62125(4060647917......)

n=93296: c37633(1000000000......) = 223753662721 * c37621(4469200583......)

n=93554: x45137(1099999999......) = 225580398529 * x45125(4876310207......)

n=95547: x63687(3325178760......) = 223209830923 * x63676(1489709815......)

n=96314: x48156(9090909090......) = 223965878809 * x48145(4059059861......)

n=96362: c41293(1099999890......) = 221070135007 * c41281(4975795984......)

n=96381: x64243(1295637502......) = 224410436209 * x64231(5773517153......)

n=96561: x64359(8350114431......) = 229776555601 * x64348(3634014971......)

n=96615: x48370(4594036603......) = 225235264591 * x48359(2039661334......)

n=97845: x47344(4127446251......) = 227199025351 * x47333(1816665474......)

n=98302: x46993(1099999999......) = 227073786223 * x46981(4844240360......)

n=98470: c38294(3520871604......) = 229501961131 * c38283(1534135737......)

n=98965: x79168(9000090000......) = 223150834391 * x79157(4033186801......)

n=99748: x45311(2530683136......) = 228574536961 * x45300(1107158815......)

n=99780L: c13297(2529932837......) = 224996915401 * c13286(1124430009......)

n=99796: x48949(2600331474......) = 220648756409 * x48938(1178493600......)

n=99840: c24576(9999999999......) = 225698104321 * c24565(4430697382......)

September 22, 2008 2008 年 9 月 22 日 (Alfred Reich)

n=27004: c13089(2818898899......) = 8163387160549 * c13076(3453099606......)

n=27006: c7704(9100000909......) = 17113154059219 * c7691(5317547471......)

n=27014: c12446(3963065570......) = 11138989823209 * c12433(3557832113......)

n=27038: c12273(8440555888......) = 721630336940738413 * c12256(1169650921......)

n=27046: c13522(9090909090......) = 5186014947517 * c13510(1752966233......)

n=27048: c7392(9999999999......) = 32602019588918641 * c7376(3067294641......)

n=27052: c13524(9900990099......) = 72674529950861 * c13511(1362374150......)

n=27078: c9014(5897334393......) = 7596134340134133121 * c8995(7763599390......)

n=27098: c12737(1099999999......) = 22208306403131 * c12723(4953101691......)

n=27104: c10561(1000000000......) = 63729682442273 * c10547(1569127542......)

n=27132: c6913(1009998990......) = 219471713899201 * c6898(4601955177......)

n=27146: c11584(5377002381......) = 94135109443232453 * c11567(5712005237......)

n=27196: c12522(9284445061......) = 112930420680169 * c12508(8221385349......)

n=27214: c12345(1726298289......) = 1122717597672001 * c12330(1537606868......)

n=27228: c9057(5861084398......) = 27497352581581 * c9044(2131508617......)

n=27266: c13624(5755490656......) = 1079337846143371 * x13609(5332427355......)

n=27266: x13609(5332427355......) = 3861526291174064729 * c13591(1380911834......)

n=27276: c9071(2607715132......) = 7394398621369 * c9058(3526608810......)

n=27316: c13656(9900990099......) = 7979335844509 * c13644(1240828847......)

n=27318: c8728(1602355559......) = 53157744098299 * c8714(3014340783......)

n=27406: c13422(1435492925......) = 21334619518493 * c13408(6728467429......)

n=27414: c9133(1000999998......) = 47668387244630077 * c9116(2099924198......)

n=27428: c13712(9900990099......) = 5445981076841 * x13700(1818036081......)

n=27428: x13700(1818036081......) = 64157320824161 * x13686(2833715714......)

n=27428: x13686(2833715714......) = 33172233744987581 * c13669(8542432613......)

n=27440: c9409(1000000000......) = 177951287446606241 * c9391(5619515398......)

n=27444: c9145(1009998990......) = 153421303309801 * c9130(6583173054......)

n=27476: c13728(1808534457......) = 4329584331006399161 * c13709(4177154939......)

n=27480: c7291(1516100336......) = 4227448179601 * c7278(3586325064......)

n=27522: c8280(9990010000......) = 11666613395053 * c8267(8562904813......)

n=27534: c8439(1010414352......) = 7238816770771 * c8426(1395828053......)

n=27544: c12471(5589467060......) = 5872830042641 * c12458(9517501816......)

n=27572: c13441(1009999999......) = 837964473137649969469 * c13420(1205301695......)

n=27590: c10554(1426421608......) = 5175887421161 * c10541(2755897670......)

n=27594: c7776(9999999990......) = 22039039553077 * c7763(4537402805......)

n=27600: c7029(8004421104......) = 30929726596801 * c7016(2587937878......)

n=27618: c9188(1039087856......) = 10515579350449 * c9174(9881413297......)

n=27642: c8621(2307813180......) = 29089000493245489 * c8604(7933628319......)

n=27646: c13157(1826363037......) = 120739960938703 * c13143(1512641732......)

n=27664: c10351(1357557407......) = 61150972205233 * c10337(2220009525......)

n=27674: c13589(2335449226......) = 6700166057752733 * c13573(3485658722......)

n=27686: c13581(2506445394......) = 41867567366977798997 * c13561(5986603837......)

n=27690: c6721(1098890109......) = 12457522355851 * c6707(8821096832......)

n=27696: c9189(4134032758......) = 1120721185548780545137 * c9168(3688725448......)

n=27698: c12581(1099999999......) = 4353709215967 * c12568(2526581233......)

n=27706: c11862(3745525849......) = 7082988059491 * c11849(5288058963......)

n=27722: c13579(7225123300......) = 9287329020877 * c13566(7779549194......)

n=27724: c13329(1009999999......) = 20729313059501269 * c13312(4872327399......)

n=27744: c8694(1110376770......) = 153768066828289 * c8679(7221114194......)

n=27768: c8443(1800450535......) = 9459321442987598209 * c8424(1903361194......)

n=27770: c11095(8281731787......) = 8422683876881 * c11082(9832651811......)

n=27782: c13368(1703556371......) = 31218539469059 * c13354(5456874026......)

n=27812: c13057(1009999999......) = 72363860504855401 * c13040(1395724320......)

n=27818: c11899(7383933958......) = 1031649648733481051 * c11881(7157404616......)

n=27880: c10227(7233381110......) = 13507867527601 * c10214(5354939331......)

n=27884: c13940(9900990099......) = 82572319585649 * c13927(1199068906......)

n=27890: c11137(7846268357......) = 15743429879347201 * c11121(4983836697......)

n=27930: c6038(4089245600......) = 14603050264531 * c6025(2800268112......)

n=27932: c13957(7894601580......) = 348043906626341 * c13943(2268277487......)

n=27948: c8704(9901000000......) = 31650308032141 * c8691(3128247595......)

September 22, 2008 2008 年 9 月 22 日 (Makoto Kamada)

n=66866: c32852(6749633425......) = 210201762983 * c32841(3211026077......)

n=67566: c22516(1626387288......) = 215278586503 * c22504(7554802892......)

n=67614: c22040(9100000000......) = 213984381517 * c22029(4252646821......)

n=68181: x45443(3580277398......) = 215828864569 * x45432(1658850129......)

n=68311: x68311(1111111111......) = 212076827759 * x68299(5239191489......)

n=68368: c34166(5454700859......) = 214956239009 * c34155(2537586666......)

n=68458: c31585(1099999999......) = 211261730291 * c31573(5206811467......)

n=68826: c22935(7983124951......) = 219557693041 * c22924(3636003293......)

n=69855: c37249(1109988900......) = 217158657631 * c37237(5111419052......)

n=69910: c27937(7244071425......) = 216157455491 * c27926(3351293809......)

n=69946: c34081(1099999999......) = 215646805463 * c34069(5100933434......)

n=70053: x44201(3474812570......) = 213106830241 * x44190(1630549601......)

n=70886: c33385(1579448077......) = 212572086169 * c33373(7430176303......)

n=73128: c22070(2403633472......) = 211802015833 * c22059(1134849195......)

n=73488: c24464(3131458424......) = 213788129617 * c24453(1464748501......)

n=73764: c24538(5821519077......) = 217458116101 * c24527(2677076019......)

n=74268: c24745(1000000999......) = 219073518361 * c24733(4564682246......)

n=74365: x58513(1111099999......) = 211076872351 * x58501(5263958990......)

n=74917: x70956(9000000000......) = 215007894317 * x70945(4185892815......)

n=75726: c21593(9423078936......) = 215746857397 * c21582(4367655246......)

n=75979: x75972(2708133388......) = 217236117641 * x75961(1246631277......)

n=76360: c28864(9999000099......) = 219742241041 * c28853(4550331357......)

n=76630: c29952(9091000000......) = 213555166051 * c29941(4256979668......)

n=76747: x69752(1021679972......) = 213526270871 * x69740(4784797527......)

n=76927: x75096(9000000000......) = 215281748041 * x75085(4180568061......)

n=77215: x61748(7515238611......) = 218183645761 * x61737(3444455511......)

n=77888: c38912(9999999999......) = 219482698177 * c38901(4556167790......)

n=78003: x51516(9999999999......) = 216268933717 * x51505(4623872614......)

n=78916: c38881(1009999999......) = 217801057561 * c38869(4637259393......)

n=79029: x52668(9999999990......) = 218855799991 * x52657(4569218631......)

n=79411: x79382(1049293214......) = 216105918961 * x79370(4855458005......)

September 21, 2008 2008 年 9 月 21 日 (Makoto Kamada)

n=81108: c27001(1000000000......) = 219047240089 * c26989(4565225289......)

n=81116: c34744(3984417361......) = 217480107601 * c34733(1832083589......)

n=81409: x81409(1111111111......) = 213273507203 * x81397(5209794341......)

n=82209: x53846(7264387250......) = 214366379803 * x53835(3388771717......)

n=82438: c40288(4207934727......) = 213148395281 * c40277(1974180815......)

n=82755: x44065(1000000001......) = 215839108351 * x44053(4633080671......)

n=83080: c31680(9999000099......) = 219320731921 * c31669(4559076569......)

n=84787: x84787(1111111111......) = 219740433013 * x84775(5056470927......)

n=84832: c38401(1000000000......) = 213275282881 * c38389(4688775869......)

September 20, 2008 2008 年 9 月 20 日 (Makoto Kamada)

n=85310: c32247(3692968356......) = 217119665771 * c32236(1700890770......)

n=86428: c38391(3817825354......) = 214878590021 * c38380(1776736041......)

n=87165: c42624(9990000009......) = 215894455921 * c42613(4627261023......)

n=87358: c42223(5567695407......) = 211952959007 * c42212(2626854295......)

n=87843: x48576(9009009909......) = 211178964151 * x48565(4266054597......)

n=87863: x85672(6208011810......) = 214868439323 * x85661(2889215293......)

n=88562: x44270(3191235033......) = 217658650277 * x44259(1466165038......)

n=89693: x89073(5547266063......) = 210823037729 * x89062(2631242829......)

n=90113: x89088(9000000000......) = 214663944533 * x89077(4192599749......)

n=90186: c30061(1098901098......) = 216140940019 * c30049(5084187654......)

n=92806: c39733(1000000099......) = 214101307463 * c39721(4670686563......)

n=92875: x74200(9999999999......) = 216104707751 * x74189(4627386466......)

n=93337: x93328(4902921821......) = 214315752551 * x93317(2287709495......)

n=93858: c31285(1098901098......) = 216620509681 * c31273(5072931923......)

n=94028: c42712(1118321837......) = 217638713249 * c42700(5138432500......)

September 19, 2008 2008 年 9 月 19 日 (Kurt Beschorner)

n=4193: c3581(1064382982......) = 3905303603687666932277 * c3559(2725480758......)

n=4197: c2785(5832415852......) = 35526131894839666806883 * c2763(1641725552......)

September 18, 2008 2008 年 9 月 18 日 (Yousuke Koide)

n=3621: c2185(3501598476......) = 250645766582243315594426677951 * c2156(1397030767......)

September 19, 2008 2008 年 9 月 19 日 (Makoto Kamada)

n=95239: x95233(2916631302......) = 214850422013 * x95222(1357517139......)

n=95799: x58017(1850578101......) = 212792570761 * x58005(8696629280......)

n=96392: x48192(9999000099......) = 219992955409 * x48181(4545145584......)

n=96565: x63360(9000090900......) = 219514648081 * x63349(4099995594......)

n=97158: c32370(5017799807......) = 214776891853 * c32359(2336284767......)

n=97696: x47041(1000000000......) = 210865092481 * x47029(4742368631......)

n=97976: x47509(8039583467......) = 212717751097 * x47498(3779460541......)

n=98202: c30186(8424186487......) = 217108025863 * c30175(3880181975......)

n=99665: x77041(1111099999......) = 218778229441 * x77029(5078658890......)

n=99666: c28215(1298668383......) = 219514564333 * c28203(5916092115......)

September 19, 2008 2008 年 9 月 19 日 (Makoto Kamada)

n=66613: x64288(9000000000......) = 209071162123 * x64277(4304754375......)

n=67836: c22609(1009998990......) = 209689080649 * c22597(4816650380......)

n=68706: c20751(1061229911......) = 209209289059 * c20739(5072575486......)

n=68790: c18329(8760793357......) = 200678315401 * c18318(4365590442......)

n=70440: c18743(4184370876......) = 204291355921 * c18732(2048236871......)

n=70475: x56349(9791211743......) = 202973638001 * x56338(4823883455......)

n=70651: x60552(9000000900......) = 204761434711 * x60541(4395359366......)

n=71295: c32245(4098616394......) = 203334052951 * c32234(2015705847......)

n=71458: c35707(5741437230......) = 208951909877 * c35696(2747731396......)

n=71617: x56582(3748707652......) = 209306984797 * x56571(1791009342......)

n=72208: c36090(1018299960......) = 205867102033 * c36078(4946394787......)

n=72404: c34585(1009999999......) = 204462741661 * c34573(4939775294......)

n=73539: x49020(9990000009......) = 206130552391 * x49009(4846443137......)

n=73669: x70444(9000000000......) = 206464297387 * x70433(4359107174......)

n=74865: c31671(1713060460......) = 201056695351 * c31659(8520285572......)

n=75194: c31200(9090910000......) = 209548684157 * c31189(4338328363......)

n=76236: c25409(1009998990......) = 202074419749 * c25397(4998153607......)

n=76245: c33779(3044315760......) = 203450328121 * c33768(1496343500......)

n=76258: c30092(1192109783......) = 201099895543 * c30080(5927948299......)

n=76859: x76195(5854839024......) = 200536506133 * x76184(2919587628......)

n=77251: x76024(2597042931......) = 208608600401 * x76013(1244935695......)

n=78583: x78576(6426965284......) = 207130328729 * x78565(3102860562......)

September 18, 2008 2008 年 9 月 18 日 (Makoto Kamada)

n=80005: x63989(4524158025......) = 201234336361 * x63978(2248203814......)

n=80623: x78399(5254691962......) = 208641520519 * x78388(2518526489......)

n=81427: x80552(1570898928......) = 205784268649 * x80540(7633717284......)

n=81589: x80524(9000000000......) = 200435127317 * x80513(4490230889......)

n=82103: x68235(3244836265......) = 203985396119 * x68224(1590719888......)

n=82441: x78084(9000000000......) = 200031379879 * x78073(4499294063......)

n=82725: x44072(8123901188......) = 202927568551 * x44061(4003350183......)

n=82898: c41041(1099999999......) = 203276424047 * c41029(5411350603......)

n=83253: x55500(9009009009......) = 207819801733 * x55489(4335009914......)

n=85202: c37632(9090909090......) = 200437705001 * c37621(4535528428......)

n=85210: c34081(1099989000......) = 200181552331 * c34069(5494956889......)

n=85535: x68424(9000090000......) = 201222113921 * x68413(4472714169......)

n=86236: c43102(8123110414......) = 209945681329 * c43091(3869148611......)

n=86733: x55177(1001000999......) = 201321690679 * x55165(4972146799......)

n=87737: x76033(1111111111......) = 209370663529 * x76021(5306909250......)

n=87893: x81120(9000000000......) = 203587786403 * x81109(4420697409......)

n=88429: x80364(5589262205......) = 202922270893 * x80353(2754385795......)

n=88999: x87480(9000000000......) = 205277261489 * x87469(4384314139......)

n=89167: x77976(9999999999......) = 205530470003 * x77965(4865458634......)

n=89221: x81091(3714579201......) = 202009370267 * x81080(1838815296......)

n=89739: x54256(2422188759......) = 209953184923 * x54245(1153680407......)

n=90500L: c17995(5524831354......) = 207124001501 * c17984(2667402770......)

n=90788: x45392(9900990099......) = 207119748529 * x45381(4780321610......)

n=92304: c30721(1000000000......) = 200971653121 * c30709(4975826115......)

n=93066: c31007(6933052285......) = 202711987099 * c30996(3420149141......)

n=93915: x50065(1001000999......) = 204304381471 * x50053(4899557184......)

n=94045: x64457(5321871672......) = 204652264951 * x64446(2600446017......)

n=94309: x94297(9012426036......) = 201683757479 * x94286(4468592884......)

n=94332: c26913(1830368748......) = 207359564749 * c26901(8827028308......)

n=94817: x92976(9000000000......) = 201918111253 * x92965(4457252469......)

n=96980L: c17856(3541003541......) = 202902137881 * c17845(1745178034......)

n=97698: c30816(9100000000......) = 202727746411 * c30805(4488778749......)

n=97911: x55432(1191956036......) = 207371581561 * x55420(5747923737......)

n=98466: c32821(1098901098......) = 208979413567 * c32809(5258417947......)

n=98646: c31977(2392363336......) = 208813556863 * c31966(1145693494......)

September 18, 2008 2008 年 9 月 18 日 (Makoto Kamada)

n=66322: c33146(3840132501......) = 198280230521 * c33135(1936719808......)

n=66467: x66467(1111111111......) = 190815324677 * x66455(5822965807......)

n=66747: c42121(1109999999......) = 190639711039 * c42109(5822501481......)

n=66865: x52081(1111099999......) = 190230256351 * x52069(5840816394......)

n=66981: c43936(9528823547......) = 190729603159 * c43925(4995985620......)

n=67094: c33532(5478192396......) = 190707448849 * c33521(2872563410......)

n=67377: c43633(1109999999......) = 195131203471 * c43621(5688480264......)

n=67722: c22562(5672859961......) = 192099141649 * c22551(2953089697......)

n=68114: c34056(9090909090......) = 192384723529 * c34045(4725379917......)

n=68227: x68219(4679742456......) = 197025930601 * x68208(2375191144......)

n=68741: x67387(6546263901......) = 194451103751 * x67376(3366534709......)

n=68962: c32462(1757924393......) = 197183667259 * c32450(8915162285......)

n=69144: c22165(8043972942......) = 198304300561 * c22154(4056378464......)

n=69238: c31935(4594872035......) = 193348499761 * c31924(2376471522......)

n=69722: c34285(7150010311......) = 196960327237 * c34274(3630177920......)

n=70559: x68616(9000000000......) = 197870720471 * x68605(4548424334......)

n=72480: c19200(9999999999......) = 190046328961 * c19189(5261874856......)

n=72959: x72949(2486733543......) = 198833995357 * x72938(1250658137......)

n=73719: x49140(9990000009......) = 198274769839 * x49129(5038462542......)

September 16, 2008 2008 年 9 月 16 日 (Alfred Reich)

n=27060L: c3184(6175885365......) = 4764149956634041488901 * c3163(1296324721......)

n=27100M: c5389(7077850494......) = 350185673074075545001 * c5369(2021170778......)

n=27260M: c5153(2796100000......) = 22464095915321 * x5140(1244697320......)

n=27260M: x5140(1244697320......) = 48870410210456727341 * c5120(2546934464......)

n=27340L: c5464(3576409999......) = 6420697541261 * c5451(5570126885......)

n=27460L: c5489(2824060999......) = 2370877271281621 * c5474(1191146009......)

n=27500L: c4972(2533700851......) = 99688165297625740001 * c4952(2541626525......)

n=27540L: c3457(1000000000......) = 150854091143761 * c3442(6628921976......)

n=27620L: c5515(2589706084......) = 118930878750041 * c5501(2177488396......)

n=27700M: c5506(9865835040......) = 194064732675601 * x5492(5083785654......)

n=27700M: x5492(5083785654......) = 7154911277667236701 * p5473(7105309147......)

Primality testing 7105309147...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 109
Running N+1 test using discriminant 127, base 2+sqrt(127)
Running N+1 test using discriminant 127, base 3+sqrt(127)
Running N+1 test using discriminant 127, base 7+sqrt(127)
Calling N-1 BLS with factored part 0.23% and helper 0.02% (0.70% proof)
7105309147...... is Fermat and Lucas PRP! (26.5104s+0.0076s)

n=27740L: c5184(3540999996......) = 1123327311708904984021 * c5163(3152242413......)

n=27820M: c5089(2796097203......) = 5362008574645061 * c5073(5214645155......)

n=27860M: c4752(3537460769......) = 214443982044771044161 * c4732(1649596662......)

n=27980L: c5588(2018613876......) = 79829601317701 * x5574(2528653335......)

n=27980L: x5574(2528653335......) = 11717090533114661 * c5558(2158089782......)

n=27980M: c5574(4623916500......) = 3443238274081 * c5562(1342897624......)

n=27096: c9025(1000099999......) = 478112138679649 * c9010(2091768685......)

n=27804: c7920(9901000000......) = 197703704059681 * c7906(5007999241......)

n=27922: c13325(2518891168......) = 619728748759207 * c13310(4064505920......)

September 17, 2008 2008 年 9 月 17 日 (Kurt Beschorner)

n=4183: c4006(7221509612......) = 475727247337643910869399 * c3983(1517993693......)

n=10703: c8281(1111110999......) = 19187781833404031 * p8264(5790721458......)

Primality testing 5790721458...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 19
Running N-1 test using base 23
Running N+1 test using discriminant 31, base 1+sqrt(31)
Running N+1 test using discriminant 31, base 2+sqrt(31)
Calling N-1 BLS with factored part 0.07% and helper 0.05% (0.25% proof)
5790721458...... is Fermat and Lucas PRP! (64.1412s+0.0860s)

n=10705: c8548(1976634242......) = 12534122512466867161081 * c8526(1577002491......)

n=10707: c6889(1109999999......) = 23947513943879946919 * c6869(4635136668......)

n=10709: c10693(1157597991......) = 13147288281683 * x10679(8804842238......)

n=10709: x10679(8804842238......) = 4462521663319523 * c10664(1973064312......)

n=10713: c7131(3270594323......) = 553135470056429891083 * c7110(5912826965......)

n=10721: c10478(3748799626......) = 3926728909013 * c10465(9546876580......)

n=10723: c10723(1111111111......) = 1702109503961533 * c10707(6527847406......)

n=10725: c4800(9999900000......) = 138311278949234476801 * c4780(7229996046......)

n=10729: c10719(1041664781......) = 35563632596641 * x10705(2929016823......)

n=10729: x10705(2929016823......) = 158342451434492597 * c10688(1849798835......)

n=10733: c10715(6963311850......) = 26527412650391 * c10702(2624949497......)

n=10735: c8065(1111099999......) = 619739880932068151 * c8047(1792848958......)

n=10745: c7337(2051710777......) = 6685607144791 * x7324(3068847351......)

n=10745: x7324(3068847351......) = 233836829587754401 * c7307(1312388367......)

n=10753: c10742(5222391200......) = 9665892367267 * c10729(5402906428......)

n=10773: c5823(1795031215......) = 97431002649037 * c5809(1842361431......)

n=10777: c9928(1574850665......) = 2052952736888778037 * c9909(7671149154......)

n=10783: c10473(5796160249......) = 860540114066329084763 * c10452(6735491065......)

n=10785: c5739(6432443599......) = 256002572412933910591 * c5719(2512648032......)

n=10789: c10789(1111111111......) = 14641275217147519729 * c10769(7588895739......)

n=10791: c6469(7979304956......) = 3732594447187 * x6457(2137736919......)

n=10791: x6457(2137736919......) = 1097342578810369 * c6442(1948103501......)

n=10793: c10472(2497088691......) = 143627249210152833893 * c10452(1738589790......)

n=10795: c8053(4234424785......) = 100816400861081 * c8039(4200134848......)

September 17, 2008 2008 年 9 月 17 日 (Yousuke Koide)

n=4455: c2094(1177462445......) = 50353821230195054820727860481 * c2065(2338377538......)

September 17, 2008 2008 年 9 月 17 日 (Makoto Kamada)

n=76042: c37611(2089426932......) = 196523248969 * c37600(1063195801......)

n=76072: c36865(1000099999......) = 196487129521 * c36853(5089900811......)

n=76074: c24474(8544304094......) = 199900714837 * c24463(4274273907......)

n=76463: x76445(2607098927......) = 192480004049 * x76434(1354477801......)

n=76575: c40801(1000010000......) = 194829619351 * c40789(5132741127......)

n=77163: x47873(1000000000......) = 193719563413 * x47861(5162101247......)

n=77215: x61760(1489760085......) = 198231907481 * x61748(7515238611......)

n=78328: c39160(9999000099......) = 193585302161 * c39149(5165164910......)

n=79477: x72865(1111111111......) = 192408889427 * x72853(5774738965......)

n=79536: c26481(1248305381......) = 197032942081 * c26469(6335516122......)

n=80005: x64000(9000090000......) = 198934032601 * x63989(4524158025......)

n=80969: x67537(1111110999......) = 198681084449 * x67525(5592434745......)

n=82848: c27585(1000000000......) = 194307308257 * c27573(5146486814......)

n=83142: c26640(9990010000......) = 197995605931 * c26629(5045571568......)

n=84656: c34560(9999999900......) = 199536816337 * c34549(5011606421......)

n=85173: x49280(9009009009......) = 193098433837 * x49269(4665500817......)

n=86235: x45985(1109988900......) = 197883799441 * x45973(5609296481......)

n=86894: c41537(1099999999......) = 191003004811 * c41525(5759071701......)

n=87388: c37434(1894696519......) = 194703959521 * c37422(9731165837......)

n=88140M: c10753(2555227054......) = 199160527021 * c10742(1282998741......)

n=88215: x47041(1109988900......) = 193798474921 * x47029(5727541976......)

n=88462: c40191(1357605682......) = 198669817303 * c40179(6833477280......)

n=89011: x79674(2600593491......) = 193204250227 * x79663(1346033272......)

n=90116: c41569(1009999999......) = 195887852681 * c41557(5156011392......)

n=90652: x44721(1009999999......) = 197177618461 * x44709(5122285216......)

n=90866: x45417(9621541643......) = 192318070733 * x45406(5002931657......)

n=91193: x91187(6092052126......) = 195459793253 * x91176(3116780195......)

n=91741: x84672(9000000000......) = 193397000317 * x84661(4653639914......)

n=91744: x44154(2595212507......) = 190535957569 * x44143(1362059183......)

n=92190: c21025(1098890000......) = 193333492801 * c21013(5683909105......)

n=92475: x48951(7118044650......) = 197657729551 * x48940(3601197214......)

n=92808: c30904(2102015835......) = 191780307361 * c30893(1096054054......)

n=93945: x50088(2716162237......) = 195639147271 * x50077(1388353136......)

n=94148: x47061(7263838078......) = 192560998549 * x47050(3772227051......)

n=94471: x85176(9999999999......) = 194989844479 * x85165(5128472216......)

n=94533: x63007(2195361086......) = 198951504877 * x62996(1103465433......)

n=94568: x47273(1680976784......) = 191736241729 * x47261(8767131188......)

n=94665: x50466(5750336935......) = 196275949711 * x50455(2929720602......)

n=94942: x46142(3644044529......) = 196981958863 * x46131(1849938212......)

n=95343: x62401(1109999999......) = 191204665921 * x62389(5805297661......)

n=95402: x47700(9090909090......) = 193110820361 * x47689(4707612485......)

n=95976: c30231(1556509035......) = 190143620209 * c30219(8185965080......)

n=96422: x46856(3955389669......) = 198018390209 * x46845(1997486024......)

n=96764: x45487(2021665244......) = 199608165941 * x45476(1012816903......)

n=97370: c30529(1099988890......) = 193493274521 * c30517(5684894696......)

n=99777: x65514(4635334865......) = 193099226317 * x65503(2400493753......)

September 16, 2008 2008 年 9 月 16 日 (Kurt Beschorner)

n=4757: c4575(2443003556......) = 7675874398137248817439 * c4553(3182703923......)

n=5327: c4560(9000000900......) = 748355515012722113951168471 * c4534(1202637078......)

September 15, 2008 2008 年 9 月 15 日 (Kurt Beschorner)

n=4167: c2753(2588573436......) = 1521279840716478415462942603 * c2726(1701576112......)

n=4177: c4171(8866828220......) = 36136067982196346408243 * c4149(2453733545......)

September 16, 2008 2008 年 9 月 16 日 (Makoto Kamada)

n=65665: c50161(1111099999......) = 187940978471 * c50149(5911962409......)

n=65759: c62256(1178609554......) = 185190627319 * c62244(6364304560......)

n=66232: c31088(2146260896......) = 186864514217 * c31077(1148565261......)

n=66472: c28465(1000099999......) = 189610117033 * c28453(5274507582......)

n=66495: c28801(1109988899......) = 189403294081 * c28789(5860451928......)

n=67004: c28691(1237782095......) = 189131185741 * c28679(6544569000......)

n=67311: x44694(5060170861......) = 181773220879 * x44683(2783782361......)

n=67665: c33196(4215078839......) = 189268613431 * c33185(2227035303......)

n=70194: c23390(2746525604......) = 182904435607 * c23379(1501617823......)

n=71768: c35871(2773940469......) = 186078347969 * c35860(1490737906......)

n=72042: c24013(1098901098......) = 184036908277 * c24001(5971090849......)

n=72661: x72661(1111111111......) = 184928929813 * x72649(6008314179......)

n=72725: x58150(7991475279......) = 181005543401 * x58139(4415044494......)

n=73461: x47841(1109999999......) = 186215701213 * x47829(5960829257......)

n=73633: x61763(8132267379......) = 185061524369 * x61752(4394358798......)

n=74066: c35729(1099999999......) = 186750975259 * c35717(5890196816......)

n=74245: x57352(3451410858......) = 181185567631 * x57341(1904903852......)

n=74582: c36785(1099999999......) = 184849473287 * c36773(5950787851......)

n=75183: x47443(3690981701......) = 188819548279 * x47432(1954766725......)

n=75522: c24472(4772066917......) = 185970357253 * c24461(2566036322......)

n=75734: c35847(6374037838......) = 183871549241 * c35836(3466571019......)

n=76739: x70824(9000000000......) = 185844514987 * x70813(4842757936......)

n=78072: c26000(5711254614......) = 187323068137 * c25989(3048879495......)

n=79389: x52914(1797657864......) = 188408197693 * x52902(9541293246......)

n=81051: x54022(4686808425......) = 181080902161 * x54011(2588240046......)

n=81740L: c15827(1836679319......) = 181668539581 * c15816(1011005716......)

n=82540L: c16497(7878073907......) = 185848714801 * c16486(4238971421......)

n=82576: c38009(2522928334......) = 181585449761 * c37998(1389389038......)

n=82847: x82847(1111111111......) = 181673197973 * x82835(6115988068......)

n=83108: c40873(1009999999......) = 188547950681 * c40861(5356727539......)

n=84634: c38461(1099999999......) = 183757594703 * c38449(5986147140......)

n=84689: x76980(9000000000......) = 185159625773 * x76969(4860670873......)

n=85058: c41854(3592318838......) = 181694094961 * c41843(1977124704......)

n=85077: x53857(1000000001......) = 185245809031 * x53845(5398232792......)

n=85619: x85619(1111111111......) = 184306884161 * x85607(6028592562......)

n=86386: c42229(1099999999......) = 186876328607 * c42217(5886245776......)

n=86755: x69393(3678774879......) = 183598044911 * x69382(2003711358......)

n=86929: x86929(1111111111......) = 180835790831 * x86917(6144309740......)

n=87537: x58349(3341447406......) = 184109394067 * x58338(1814924992......)

n=87741: x58488(9990000009......) = 182575157923 * x58477(5471719221......)

n=89252: c43671(3716467871......) = 189314202241 * c43660(1963121533......)

n=89310: c21883(3076047010......) = 180286078051 * c21872(1706203298......)

n=89439: x51091(1241067820......) = 188998738363 * x51079(6566540238......)

n=89480: c35777(1000099999......) = 184121564321 * c35765(5431737470......)

September 15, 2008 2008 年 9 月 15 日 (Makoto Kamada)

n=91746: c30551(1776351964......) = 187814245807 * c30539(9458025701......)

n=91853: x88855(4899105641......) = 181682110999 * x88844(2696526154......)

n=92380M: c17755(3833039261......) = 188062769761 * c17744(2038170163......)

n=92918: c39799(2473569643......) = 185386462717 * c39788(1334277383......)

n=92939: x67193(1960277699......) = 186326709493 * x67182(1052064786......)

n=93067: x85896(9000000000......) = 189633319201 * x85885(4746001408......)

n=93243: x62160(9009009009......) = 182297524441 * x62149(4941926137......)

n=93791: x92390(1701594778......) = 183764893883 * x92378(9259629207......)

n=94056: c31340(1063291408......) = 184142554633 * c31328(5774284007......)

n=94659: x62367(1174509392......) = 189408683323 * x62355(6200926864......)

n=95212: c43921(1009999999......) = 182681360161 * c43909(5528752353......)

n=95639: x93952(3678806465......) = 187956648809 * x93941(1957263277......)

n=96318: c32101(1000999998......) = 187482698047 * c32089(5339159343......)

n=96787: x96777(5642922873......) = 187158957641 * x96766(3015042905......)

n=97063: x93675(1064268294......) = 182424472973 * x93663(5834021485......)

n=98427: x54432(9009009909......) = 185935296037 * x54421(4845239232......)

n=98476: c42187(3418757129......) = 183657050669 * c42176(1861489726......)

n=98764: x49380(9900990099......) = 183073592309 * x49369(5408202228......)

n=98849: x98849(1111111111......) = 184199575957 * x98837(6032104609......)

n=99359: x91699(4529008298......) = 180695668427 * x91688(2506428813......)

n=99828: c32012(1001711927......) = 184288976821 * c32000(5435549888......)

September 15, 2008 2008 年 9 月 15 日 (Makoto Kamada)

n=65631: c43155(1691271363......) = 172460416369 * c43143(9806722025......)

n=66095: x52863(1689735179......) = 179245013351 * x52851(9426957814......)

n=67143: x44760(9009009009......) = 171946911559 * x44749(5239413099......)

n=68736: c22785(1000000000......) = 178022115841 * c22773(5617279601......)

n=68865: c36711(1639274608......) = 179570170321 * c36699(9128880401......)

n=69384: c19480(5440749188......) = 177460195753 * c19469(3065898335......)

n=70422: c21116(1419990628......) = 176165140009 * c21104(8060565376......)

n=71296: c35578(1612187362......) = 179851859969 * c35566(8963973810......)

n=72800: c23040(9999999999......) = 171704332801 * c23029(5823964856......)

n=73108: c31238(1046648160......) = 171611233529 * c31226(6098948994......)

n=73173: x48770(2103201394......) = 170320694413 * x48759(1234847827......)

n=73844: c36915(6703945519......) = 170709383909 * c36904(3927110136......)

n=74315: x58422(4272754101......) = 173868563041 * x58411(2457462135......)

n=74453: x74453(1111111111......) = 174681628601 * x74441(6360778291......)

n=74843: x74843(1111111111......) = 175510726837 * x74831(6330730497......)

September 14, 2008 2008 年 9 月 14 日 (Alfred Reich)

n=25018: c10717(1099999890......) = 233987799311676887 * c10699(4701099344......)

n=25046: c10699(1917189322......) = 1022796240630550804237 * c10678(1874458710......)

n=25054: c12498(4066007404......) = 2149588591892988863 * c12480(1891528183......)

n=25103: c23146(7886830580......) = 27538315682203 * c23133(2863948061......)

n=25118: c11858(1737831343......) = 37915261620156433561 * c11838(4583461300......)

n=25168: c10561(1000000000......) = 429662254608551537 * c10543(2327409469......)

n=25170: c6676(1821081124......) = 26300657668651 * c6662(6924089684......)

n=25173: c16771(9921245776......) = 241015669427107 * c16757(4116431848......)

n=25175: c18721(1000010000......) = 3754276051601 * c18708(2663656018......)

n=25180L: c5032(3576409999......) = 29542527158801 * c5019(1210597177......)

n=25181: c23077(3982448401......) = 995496727839121 * c23062(4000463577......)

n=25190: c9102(7681339893......) = 92938010872961 * c9088(8265014305......)

n=25193: c20843(3128713988......) = 19932885055427 * c20830(1569624256......)

n=25206: c8401(1098901098......) = 6365481549277 * c8388(1726344017......)

n=25208: c11962(1251542841......) = 205592282025089 * c11947(6087499147......)

n=25228: c9980(3924448095......) = 1110566618026741 * c9965(3533734970......)

n=25235: c17131(4953413644......) = 25846065525001 * c17118(1916505875......)

n=25238: c12618(9090909090......) = 4360959879677 * c12606(2084611952......)

n=25239: c16362(2865238611......) = 161473026276721 * c16348(1774437921......)

n=25244: c12620(9900990099......) = 18334569270161 * c12607(5400176002......)

n=25245: c11504(1582286578......) = 3876038333641 * c11491(4082226341......)

n=25246: c11613(2089728854......) = 162749723692609 * c11599(1284013764......)

n=25256: c9591(5646039375......) = 3758663582825880961 * c9573(1502140122......)

n=25257: c16812(4766344516......) = 333872597651707 * c16798(1427593803......)

n=25259: c22177(1111111111......) = 1913933568745147 * c22161(5805379712......)

n=25274: c12629(7025275162......) = 4495390841247121 * c12614(1562772940......)

n=25305: c11509(8957266976......) = 15036118776576241 * c11493(5957166945......)

n=25307: c25295(3344846206......) = 198733784539079 * c25281(1683078805......)

n=25312: c10733(6660041606......) = 2579328642804481 * c10718(2582083374......)

n=25330: c9462(4256575018......) = 5886116839694281 * c9446(7231550331......)

n=25369: c24239(8869004799......) = 3400342489723 * c24227(2608268086......)

n=25371: c16902(8203256840......) = 37444118346289 * c16889(2190799838......)

n=25382: c10585(1000000000......) = 265479660808601 * c10570(3766766903......)

n=25398: c7872(9990010000......) = 10526835727518419251 * c7853(9490040747......)

n=25400: c10081(1000000000......) = 187282946845601 * c10066(5339514445......)

n=25403: c20521(1111110999......) = 31903674695551 * c20507(3482705395......)

n=25404: c8064(9901000000......) = 8999285087139169 * c8049(1100198505......)

n=25405: c20320(9000090000......) = 20620701692351 * c20307(4364589593......)

n=25416: c8443(5620724736......) = 105104011401577 * c8429(5347773754......)

n=25439: c25439(1111111111......) = 282913598822081 * c25424(3927386720......)

n=25452: c7190(6833806543......) = 30392348599369 * c7177(2248528612......)

n=25467: c15629(4587382549......) = 40287700905427 * c15616(1138655829......)

n=25469: c25469(1111111111......) = 4944301661389801 * c25453(2247255906......)

n=25481: c25092(9000000000......) = 6654182834416969 * c25077(1352532718......)

n=25484: c12137(3145453133......) = 122720488220609 * c12123(2563103504......)

n=25497: c16992(9990000009......) = 5444354997043147 * c16977(1834928107......)

n=25508: c10921(1009999999......) = 11156233365089 * c10907(9053234787......)

n=25515: c11665(1000000000......) = 145227610362871 * c11650(6885742989......)

n=25516: c12747(1931769377......) = 3845020839281 * c12734(5024080383......)

n=25525: c20389(1705370306......) = 13700090582774551 * c20373(1244787613......)

n=25567: c24827(2417896700......) = 11964433696043 * c24814(2020903589......)

n=25594: c12524(6445637372......) = 1264315031926013 * c12509(5098126028......)

n=25613: c21948(9000000900......) = 2191709057632529 * c21933(4106384863......)

n=25619: c21739(2514601948......) = 16550952023899283 * c21723(1519309550......)

n=25621: c25614(1537843869......) = 365883413243671 * c25599(4203098073......)

n=25626: c8541(1098901098......) = 455130804710293 * c8526(2414473130......)

n=25629: c17084(9009009009......) = 18932212882267 * c17071(4758561011......)

n=25630: c9280(9091000000......) = 11183364648611 * c9267(8129038340......)

n=25656: c8534(1100954566......) = 3451881568393 * c8521(3189433196......)

n=25660M: c5128(3576409999......) = 1364894480693201 * c5113(2620283142......)

n=25676: c10916(1298212361......) = 129775366148429 * c10902(1000353456......)

n=25688: c11223(1668353046......) = 547690475907983201 * c11205(3046160413......)

n=25690: c8769(1284762661......) = 1711316779511011 * c8753(7507450850......)

n=25696: c11521(1000000000......) = 27871229115482786881 * c11501(3587929315......)

n=25759: c25759(1111111111......) = 8055512228117 * x25746(1379317763......)

n=25759: x25746(1379317763......) = 471633226873951 * c25731(2924555957......)

n=25797: c17196(9009009009......) = 3017173195293319 * c17181(2985910461......)

n=25816: c11034(5534217133......) = 163883121630929 * c11020(3376929288......)

n=25827: c17216(9009009009......) = 7590726378049 * c17204(1186844125......)

n=25829: c24670(1315273884......) = 38125081263827 * c24656(3449891359......)

n=25840: c9216(9999999900......) = 4086895588961 * c9204(2446844966......)

n=25843: c25188(1376207208......) = 91010747605957 * c25174(1512137022......)

n=25851: c14750(1753870929......) = 138462291005893 * x14736(1266677675......)

n=25851: x14736(1266677675......) = 1954262763566653 * c14720(6481613933......)

n=25875: c13201(1000000000......) = 21308626734348237751 * c13181(4692934990......)

n=25899: c16890(9740627278......) = 13471498437043 * c16877(7230544786......)

n=25912: c12456(1361883296......) = 472890612627889 * c12441(2879911885......)

n=25954: c12272(1412737757......) = 31498572719087 * c12258(4485084990......)

n=25959: c16246(4437922311......) = 34233883663453 * c16233(1296353739......)

n=25958: c12967(6132531961......) = 5468075932411 * c12955(1121515508......)

n=25961: c23939(2242643654......) = 183272403292681 * c23925(1223666855......)

n=25971: c15713(1472776658......) = 21377270895483493 * c15696(6889451259......)

n=25973: c24580(3215605846......) = 6473457587027 * p24567(4967369915......)

Primality testing 4967369915...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 101
Running N+1 test using discriminant 109, base 1+sqrt(109)
Running N+1 test using discriminant 109, base 2+sqrt(109)
Running N+1 test using discriminant 109, base 8+sqrt(109)
Running N+1 test using discriminant 109, base 9+sqrt(109)
Running N+1 test using discriminant 109, base 11+sqrt(109)
Calling N+1 BLS with factored part 0.04% and helper 0.03% (0.16% proof)
4967369915...... is Fermat and Lucas PRP! (1190.4630s+0.0859s)

n=25978: c12533(7841392300......) = 12619619685197597 * c12517(6213651834......)

n=25991: c21529(1111110999......) = 2002503483209321 * c21513(5548609574......)

n=26050: c10390(2349895220......) = 7146116885251 * c10377(3288352622......)

n=26056: c13014(7699832010......) = 28556051205114217 * x12998(2696392423......)

n=26056: x12998(2696392423......) = 159961210653508217 * c12981(1685653923......)

n=26060L: c5195(1764546521......) = 644365709604268952791741 * c5171(2738423995......)

n=26060M: c5209(2824060999......) = 67488075915181 * c5195(4184533284......)

n=26080: c10361(4232180646......) = 9313676247041 * x10348(4544049561......)

n=26080: x10348(4544049561......) = 2572344257568961 * x10333(1766501333......)

n=26080: x10333(1766501333......) = 4392789261244801 * c10317(4021365990......)

n=26084: c13040(9900990099......) = 20460147302128921 * c13024(4839158757......)

n=26112: c8188(3829510205......) = 68471245115427841 * c8171(5592873620......)

n=26134: c12817(1099999999......) = 31929429034007 * c12803(3445097620......)

n=26148: c8700(4183547532......) = 239202840359881 * c8686(1748953953......)

n=26174: c12479(1263384397......) = 38943094783841 * c12465(3244180784......)

n=26176: c13042(1365953940......) = 1216046211289931521 * c13024(1123274697......)

n=26194: c11210(1242777474......) = 741385164853943 * c11195(1676291262......)

n=26196: c8332(7842448143......) = 10912500811049161 * c8316(7186664431......)

n=26214: c8182(6075801616......) = 586544688997249 * c8168(1035863375......)

n=26230: c10062(1184614968......) = 18458449381554761 * c10045(6417738259......)

n=26268: c7905(5328786853......) = 4433093697649 * c7893(1202046971......)

n=26270: c10080(9091000000......) = 16553904211241 * c10067(5491755832......)

n=26278: c11251(4651103326......) = 1253324046373001 * c11236(3711014194......)

n=26282: c12345(7473881671......) = 360570212731609 * c12331(2072795091......)

n=26316: c8055(3587581003......) = 15374514395868049 * c8039(2333459718......)

n=26326: c13162(9090909090......) = 24584869966721 * c13149(3697765781......)

n=26360: c10516(1601331734......) = 2068379053861121 * c10500(7741964565......)

n=26376: c7488(9999000100......) = 573186771529681 * c7474(1744457582......)

n=26380M: c5272(3576409999......) = 44721756082741 * c5258(7997024967......)

n=26384: c12281(5987639297......) = 6120849726097 * c12268(9782366117......)

n=26416: c12092(3785441231......) = 627157589114369 * c12077(6035869288......)

n=26418: c6901(9271900617......) = 59401750658797 * c6888(1560880027......)

n=26436: c8803(2547022855......) = 7769242413409 * c8790(3278341335......)

n=26476: c13230(1797888853......) = 3114978945368956539001 * c13208(5771752828......)

n=26478: c8816(1890212812......) = 89780287525661773 * c8799(2105376207......)

n=26492: c12810(1906235485......) = 7875294808569889 * x12794(2420525874......)

n=26492: x12794(2420525874......) = 13620106523782769 * c12778(1777171030......)

n=26504: c13248(9999000099......) = 56773443131497 * x13235(1761210796......)

n=26504: x13235(1761210796......) = 83382922425497 * c13221(2112196053......)

n=26510: c9590(1380049254......) = 40924496997915521 * c9573(3372183792......)

n=26512: c13244(3771734583......) = 246156120546096913 * c13227(1532253016......)

n=26522: c13025(1099999999......) = 10560304151693 * x13012(1041636665......)

n=26522: x13012(1041636665......) = 67182313440533 * c12998(1550462631......)

n=26530: c9067(8566637054......) = 3363342898931 * c9055(2547060264......)

n=26550: c6947(3691186104......) = 2094471930440251 * c6932(1762346895......)

n=26588: c11969(1000000000......) = 130717085001401 * c11954(7650109394......)

n=26590: c10633(1099989000......) = 3977506084321171 * c10617(2765524368......)

n=26626: c13312(9090909090......) = 86180210316971 * c13299(1054872001......)

n=26632: c13293(1571773189......) = 25628540435489 * c13279(6132901688......)

n=26676: c7776(9999999999......) = 4419715239109 * c7764(2262589207......)

n=26720: c10611(4376376758......) = 24956645664001 * c10598(1753591735......)

n=26724: c8311(2125995996......) = 26752189330369 * c8297(7946998171......)

n=26742: c8905(1085959405......) = 131596822838236520917 * x8884(8252170396......)

n=26742: x8884(8252170396......) = 53046705135397 * c8871(1555642405......)

n=26760: c7092(2750817521......) = 8077910759371433755441 * c7070(3405357651......)

n=26770: c10705(1099989000......) = 339961330590578301041 * c10684(3235629764......)

n=26772: c8448(9901000000......) = 255160357268701 * c8434(3880304960......)

n=26778: c8925(1098901098......) = 268384641777289 * c8910(4094500682......)

n=26782: c11452(1169413620......) = 5615351354957 * c11439(2082529741......)

n=26802: c8918(2254549130......) = 5254944931207 * c8905(4290338261......)

n=26810: c9153(1404263990......) = 12003879587281 * x9140(1169841783......)

n=26810: x9140(1169841783......) = 108200511732710041 * c9123(1081179529......)

n=26814: c8628(1000600526......) = 18645609118352971 * c8611(5366413723......)

n=26816: c13376(9999999999......) = 51558602113016513 * c13360(1939540559......)

n=26830: c10729(1099989000......) = 304972014836632001 * c10711(3606852257......)

n=26862: c7905(1357636615......) = 101277887836450447 * c7888(1340506446......)

n=26896: c13093(2196716380......) = 5105761046519990737 * c13074(4302426926......)

n=26912: c12986(6193020342......) = 63915357368353 * c12972(9689408926......)

n=26924: c13090(2539768746......) = 330827495633501 * c13075(7677018326......)

n=26934: c8845(1000000000......) = 115299716090157241 * c8827(8673048242......)

n=26944: c13432(7188459032......) = 797488133221249 * c13417(9013875859......)

n=26960: c10736(2425946790......) = 211370320792801 * c10722(1147723474......)

n=26980L: c5041(2796100002......) = 22274389939124501 * c5025(1255298129......)

n=26980M: c5036(1312405024......) = 4792272926759141 * c5020(2738585728......)

n=26982: c8982(2348025181......) = 3340627902019 * c8969(7028694157......)

September 14, 2008 2008 年 9 月 14 日 (Makoto Kamada)

n=75185: x54632(9436918016......) = 171025875791 * x54621(5517830546......)

n=75856: c34394(4882543150......) = 176416857937 * c34383(2767617113......)

n=76497: x49729(1109999999......) = 173832853759 * x49717(6385444270......)

n=77234: c36433(1000000000......) = 179711006093 * c36421(5564489464......)

n=77692: c38836(8070867010......) = 170272040269 * c38825(4739983732......)

n=78071: x63289(1111110999......) = 179698206689 * x63277(6183205834......)

n=78568: c31680(9999000099......) = 179232150049 * c31669(5578798277......)

n=79404: c24384(9901000000......) = 177027406609 * c24373(5592919305......)

n=79704: c25921(1000000000......) = 171779096953 * c25909(5821430067......)

n=79765: x52409(3945195000......) = 170639669201 * x52398(2312003427......)

September 14, 2008 2008 年 9 月 14 日 (Makoto Kamada)

n=80133: x53420(9009009009......) = 179357366719 * x53409(5022937821......)

n=80726: c39961(1099999999......) = 173391375401 * c39949(6344029496......)

n=80728: c40341(5442628812......) = 171143037089 * c40330(3180163742......)

n=81483: x53657(2541506173......) = 172510592689 * x53646(1473246444......)

n=81759: x54504(9009009009......) = 174837533551 * x54493(5152788892......)

n=82339: x82339(1111111111......) = 177416502013 * x82327(6262726964......)

n=82740L: c9408(3948723401......) = 171670606801 * c9397(2300174430......)

n=82921: x82000(9000000000......) = 176751086761 * x81989(5091906457......)

n=83306: c39808(4149293200......) = 170328530579 * c39797(2436052953......)

n=83660L: c16193(2796100000......) = 171942382321 * c16182(1626184284......)

n=83730: c22320(9100090999......) = 170261940721 * c22309(5344759352......)

n=83739: x55081(1109999999......) = 173998588453 * x55069(6379362096......)

n=84139: x76480(9000000000......) = 178297608677 * x76469(5047740161......)

n=84534: c27631(6459678080......) = 172988010649 * c27620(3734176754......)

n=84559: x84548(6887261879......) = 176939200147 * x84537(3892445469......)

n=84672: c24188(1181014018......) = 177042378241 * c24176(6670798428......)

n=85618: c37987(6475696337......) = 172866337957 * c37976(3746071337......)

n=85861: x81324(9000000000......) = 178346863039 * x81313(5046346118......)

n=86820M: c11563(1502544575......) = 177362581141 * c11551(8471598495......)

n=86900L: c15601(1010050200......) = 176889381901 * c15589(5710066878......)

n=86995: x68545(1111099999......) = 172911262001 * x68533(6425839399......)

n=87503: x78625(1111111111......) = 178763903839 * x78613(6215522749......)

n=88293: x55729(1109999999......) = 175982075881 * x55717(6307460543......)

n=88881: x52416(9009009009......) = 177641121841 * x52405(5071465950......)

n=88917: x58504(6690006431......) = 173442745039 * x58493(3857184357......)

n=88969: x88969(1111111111......) = 171612126163 * x88957(6474548949......)

n=89330: c35729(1099989000......) = 172873917241 * c35717(6362955254......)

September 13, 2008 2008 年 9 月 13 日 (Makoto Kamada)

n=90309: x60199(2493933071......) = 173117837551 * x60188(1440598557......)

n=90334: c42773(1765554833......) = 171001268327 * c42762(1032480548......)

n=90365: x62394(7114071414......) = 174624759871 * x62383(4073919081......)

n=90709: x90709(1111111111......) = 170333360201 * x90697(6523156179......)

n=90758: c43385(1099999999......) = 178705587773 * c43373(6155375518......)

n=91598: c42121(1000000000......) = 172515673201 * c42109(5796574777......)

n=91838: x44880(8664697480......) = 173519727419 * x44869(4993494174......)

n=92014: c42446(3194411723......) = 170148424213 * c42435(1877426569......)

n=92313: x56593(1000000001......) = 173832764041 * x56581(5752655470......)

n=92451: x61632(9009009009......) = 178771204387 * x61621(5039407235......)

n=92877: x61009(1109999999......) = 177128884519 * x60997(6266623329......)

n=92988: c25911(1386352605......) = 172063693369 * c25899(8057205898......)

n=94034: x47011(3222549597......) = 172044042197 * x47000(1873095723......)

n=94331: x94316(8870928808......) = 178328038951 * x94305(4974500286......)

n=94362: c31453(1098901098......) = 176598294277 * c31441(6222603131......)

n=95065: x76041(2834521264......) = 172184770081 * x76030(1646209047......)

n=95633: x95633(1111111111......) = 177784615991 * x95621(6249759603......)

n=95732: c37728(9900990099......) = 179379175249 * c37717(5519587257......)

n=96031: x86593(1111111111......) = 174150874067 * x86581(6380163849......)

n=96070: c35414(8343524406......) = 173522306491 * c35403(4808329588......)

n=96337: x96329(2720185400......) = 177914015557 * x96318(1528932609......)

n=96393: x55435(2336524862......) = 178041726721 * x55424(1312346777......)

n=96576: c32129(1000000000......) = 179968120513 * c32117(5556539664......)

n=96782: c39960(9090910000......) = 174240312317 * c39949(5217455064......)

n=97020M: c10080(9999999999......) = 174324856861 * c10069(5736416583......)

n=97114: x47663(2169145641......) = 176216460649 * x47652(1230955174......)

n=97452: c32465(7954629068......) = 176395331449 * c32454(4509546257......)

n=97580L: c15355(2633628228......) = 176968648501 * c15344(1488189151......)

n=98124: c27649(1009998990......) = 177410645101 * c27637(5693001056......)

n=98954: x49470(5103888892......) = 173788952041 * x49459(2936831618......)

n=99340L: c19859(1200053016......) = 170790791701 * c19847(7026450339......)

n=99768: c33239(1081528631......) = 173907197089 * c33227(6218998693......)

n=99851: x96592(1638209740......) = 175589581117 * x96580(9329766210......)

September 13, 2008 2008 年 9 月 13 日 (Makoto Kamada)

n=65595: c34968(3324528924......) = 168425001751 * c34957(1973892765......)

n=66719: x66091(6744654861......) = 162045105631 * x66080(4162208315......)

n=66782: c33390(9090909090......) = 161797025449 * c33379(5618712127......)

n=67279: x63715(3344270335......) = 162540950797 * x63704(2057494015......)

n=68268: c22753(1009998990......) = 169261972501 * c22741(5967075622......)

n=69112: c33697(1000099999......) = 162090516073 * c33685(6170009351......)

n=69623: x69623(1111111111......) = 162639328001 * x69611(6831749274......)

n=69691: x69691(1111111111......) = 160244697761 * x69679(6933840099......)

n=69819: c42613(9887044811......) = 162094722799 * c42602(6099547623......)

September 12, 2008 2008 年 9 月 12 日 (Kurt Beschorner)

n=4167: c2772(9990000009......) = 38592685330557007987 * c2753(2588573436......)

September 12, 2008 2008 年 9 月 12 日 (Yousuke Koide)

n=3519: c2062(7420820366......) = 28456578610981323364600179787 * c2034(2607769706......)

September 12, 2008 2008 年 9 月 12 日 (Makoto Kamada)

n=70616: c27641(1256404657......) = 164940615841 * c27629(7617315183......)

n=70655: x52123(7862799074......) = 160106632271 * x52112(4910976492......)

n=71084: c32763(8501640684......) = 162666635249 * c32752(5226419463......)

n=71243: x70680(9000000000......) = 167356646329 * x70669(5377736825......)

n=71348: c35672(9900990099......) = 165226699529 * c35661(5992366928......)

n=71588: c32521(1009999999......) = 164585465221 * c32509(6136629371......)

n=73160: c27825(3243679630......) = 160924052881 * c27814(2015658674......)

n=74006: c37002(9090909090......) = 168837066383 * c36991(5384427297......)

n=74085: c35832(1702672933......) = 164331790921 * c35821(1036119014......)

n=74579: x67835(7449172434......) = 165950207641 * x67824(4488799706......)

n=74618: c37308(9090909090......) = 167735816887 * c37297(5419778112......)

n=74790: c19872(9999999990......) = 162521063281 * c19861(6153048588......)

n=75288: c25089(1000099999......) = 165553493569 * c25077(6040947722......)

n=75424: c37696(9999999999......) = 163864598497 * c37685(6102599397......)

n=75574: c36457(1099999999......) = 162504656129 * c36445(6769036815......)

n=76466: c33019(2377758824......) = 168051392783 * c33008(1414899802......)

n=76494: c21583(3219683607......) = 166499747173 * c21572(1933746844......)

n=76930: c26208(9999999000......) = 166203880081 * c26197(6016706105......)

n=76932: c25624(3393865569......) = 169605825841 * c25613(2001031245......)

n=77306: c38637(6500769557......) = 162628786813 * c38626(3997305572......)

n=78202: c38393(2197833771......) = 167535507287 * c38382(1311861471......)

n=78350: c31304(1397944954......) = 165984788401 * c31292(8422126918......)

n=78428: c33594(8585361873......) = 164341638889 * c33583(5224094107......)

n=78444: c26137(1000000999......) = 160305961969 * c26125(6238077409......)

n=78932: c33817(1009999999......) = 168350116201 * c33805(5999401858......)

n=79066: c36481(1099999999......) = 164750852059 * c36469(6676748473......)

n=79189: x68641(1111111111......) = 166663703449 * x68629(6666785197......)

n=79519: x72267(1144875656......) = 162072604079 * x72255(7063967799......)

n=80514: c22680(9999999999......) = 163957501891 * c22669(6099141475......)

n=80538: c25915(2259797214......) = 162618061087 * c25904(1389634828......)

n=81005: x60915(1596229414......) = 160101360191 * x60903(9970117761......)

n=81414: c27104(2577899351......) = 169049169397 * c27093(1524940560......)

n=81951: x53583(1089185816......) = 164525319307 * x53571(6620171416......)

n=82056: c25152(9999000100......) = 164391646849 * c25141(6082425896......)

n=82572: c23560(3730786379......) = 165713746801 * c23549(2251343929......)

n=82611: x53857(1001000999......) = 166022170147 * x53845(6029321259......)

n=82674: c27541(1000000000......) = 168417106903 * c27529(5937639111......)

n=82780L: c16547(4320327127......) = 167981894461 * c16536(2571900466......)

n=83009: x83009(1111111111......) = 162254205923 * x82997(6847964925......)

n=83210: c32439(2649152431......) = 163430763961 * c32428(1620963132......)

n=83514: c26875(3632111054......) = 165482489917 * c26864(2194861254......)

n=83628: c26390(2259022341......) = 163680484861 * c26379(1380141526......)

n=83735: x66984(9000090000......) = 160741725281 * x66973(5599100037......)

n=83878: c39449(1177224855......) = 160064387401 * c39437(7354695662......)

n=84217: x70503(6548257331......) = 165885088279 * x70492(3947465923......)

n=84640: c32385(1000000000......) = 161740438081 * c32373(6182745711......)

n=85193: x85186(1358570851......) = 162711984947 * x85174(8349543842......)

n=88060L: c13825(2826886501......) = 163361338841 * c13814(1730450130......)

n=88223: x88215(5997307964......) = 160841997991 * x88204(3728695265......)

n=88513: x88507(2092176702......) = 167498814733 * x88496(1249069556......)

n=88516: x44256(9900990099......) = 164128845649 * x44245(6032449725......)

n=88839: x59205(4901004736......) = 160486765111 * x59194(3053837326......)

n=89166: c23031(2722981745......) = 161096479699 * c23020(1690280104......)

n=89554: x44776(9090909090......) = 164710582529 * x44765(5519323015......)

n=89932: x44964(9900990099......) = 161200771769 * x44953(6142024005......)

September 11, 2008 2008 年 9 月 11 日 (Makoto Kamada)

n=90300L: c10059(3469340953......) = 162483652801 * c10048(2135193844......)

n=90502: c43993(1099999999......) = 164746582729 * c43981(6676921498......)

n=91157: x82843(1216934694......) = 164150420809 * x82831(7413533806......)

n=91207: x90576(9000000000......) = 168770344871 * x90565(5332690412......)

n=91827: x57673(1000000001......) = 167472613369 * x57661(5971125552......)

n=92291: x89979(3741123603......) = 162296492231 * x89968(2305116735......)

n=93674: c40127(4084661502......) = 167547470903 * c40116(2437912957......)

n=93762: c31239(1326108215......) = 167584948129 * c31227(7913050843......)

n=93826: x45771(1581629573......) = 165563483081 * x45759(9553009782......)

n=94525: x71270(3716031121......) = 161773109801 * x71259(2297063539......)

n=94547: x94547(1111111111......) = 164856876551 * x94535(6739852982......)

n=94606: x47296(2402307118......) = 168326306411 * x47285(1427172715......)

n=95040: c23040(9999999999......) = 162031415041 * c23029(6171642701......)

n=95799: x58028(3085421309......) = 166727430013 * x58017(1850578101......)

n=96961: x94852(9000000000......) = 161036319397 * x94841(5588801354......)

n=97261: x92116(1369664303......) = 160454195009 * x92104(8536170113......)

n=97301: x97301(1111111111......) = 168195287009 * x97289(6606077559......)

n=97396: x44922(3456677393......) = 168666983941 * x44911(2049409619......)

n=97880: c39125(8699039480......) = 165755864801 * c39114(5248103583......)

n=98057: x98048(2362651754......) = 167116191733 * x98037(1413777881......)

n=98351: x89390(3901603257......) = 161949280747 * x89379(2409151334......)

n=98641: x98612(2864425794......) = 169099082609 * x98601(1693933373......)

n=98691: x64669(9448735061......) = 165633302683 * x64658(5704610672......)

n=99472: x49728(9999999900......) = 160366172129 * x49717(6235728998......)

n=99657: x66420(9999999990......) = 169338569599 * x66409(5905329195......)

n=99717: x64849(1109999999......) = 167583393031 * x64837(6623568003......)

September 11, 2008 2008 年 9 月 11 日 (Makoto Kamada)

n=65827: c65821(2813203037......) = 154789820729 * c65810(1817434133......)

n=66073: x56620(8502683451......) = 155356387733 * x56609(5473018248......)

n=66158: c31321(1099999999......) = 153802795241 * c31309(7152015659......)

n=66394: c32737(1099999999......) = 151351696007 * c32725(7267840592......)

n=66580L: c13313(2824060999......) = 156537236701 * c13302(1804082567......)

n=66614: c31537(1099999999......) = 154190693047 * c31525(7134023320......)

n=66620M: c13321(2824060999......) = 153577154021 * c13310(1838854885......)

n=66691: x62752(9000000000......) = 153390767203 * x62741(5867367485......)

n=66752: c28394(1276097006......) = 159321871297 * c28382(8009553212......)

n=67098: c21822(1385786465......) = 151489972717 * c21810(9147710840......)

n=67470: c16492(1042601406......) = 159987292921 * c16480(6516776349......)

n=67874: c33936(9090909090......) = 154436291413 * c33925(5886510876......)

n=68713: x68699(7209897558......) = 159100966147 * x68688(4531649136......)

n=69652: c31635(3625152094......) = 158014895369 * c31624(2294183777......)

n=69847: x69841(1590776297......) = 152833338253 * x69830(1040856867......)

n=69851: x66792(9000000000......) = 152094405613 * x66781(5917377410......)

n=70318: c35151(1324619002......) = 151255143089 * c35139(8757513795......)

n=70649: x65521(1111111111......) = 155324511163 * x65509(7153482105......)

n=71179: x64897(1111111111......) = 157356269449 * x64885(7061117520......)

n=71806: c29292(1475407308......) = 159871822447 * c29280(9228688868......)

n=71950: c28736(5269936415......) = 155905289201 * c28725(3380216567......)

n=72039: c41760(9009009009......) = 157166189599 * c41749(5732154626......)

n=72645: c37176(6206977187......) = 150305991961 * c37165(4129560708......)

n=72943: x64801(1111111111......) = 154441046813 * x64789(7194402874......)

n=73014: c23688(9100000000......) = 155485868491 * c23677(5852621905......)

n=73036: c33481(1000000000......) = 159290274389 * c33469(6277847180......)

n=73058: c36514(3587825030......) = 157567257037 * c36503(2277011796......)

n=73201: x72082(7962380661......) = 154041402763 * x72071(5168987375......)

n=74299: x73720(9000000000......) = 157165566289 * x73709(5726445182......)

n=74495: x58139(7457497432......) = 152211759761 * x58128(4899422649......)

n=74654: c36937(1099999999......) = 156235368623 * c36925(7040659293......)

n=74941: x74941(1111111111......) = 156707776163 * x74929(7090338069......)

n=76734: c21153(5110612666......) = 159569504011 * c21142(3202750236......)

n=77109: x51404(9009009009......) = 156363326599 * x51393(5761586943......)

n=78023: x68793(2966836385......) = 154586189671 * x68782(1919211794......)

n=78410: c31361(1099989000......) = 154776635401 * c31349(7106944774......)

n=78915: c42075(7032768594......) = 156986082991 * c42064(4479867552......)

n=79275: c35989(4419952593......) = 158976182401 * c35978(2780260871......)

September 10, 2008 2008 年 9 月 10 日 (Makoto Kamada)

n=80820M: c10738(1006838945......) = 154028453221 * c10726(6536707499......)

n=82767: x53913(1109999999......) = 152078899879 * x53901(7298842909......)

n=83237: x60711(4712561159......) = 151993259111 * x60700(3100506685......)

n=83347: x75760(9000000000......) = 156658521119 * x75749(5744979549......)

n=83550: c22232(7158349961......) = 151531961401 * c22221(4723986870......)

n=83891: x83873(8709716934......) = 151527950969 * x83862(5747927612......)

n=83969: x83969(1111111111......) = 157840895689 * x83957(7039437442......)

n=84654: c28206(1046424994......) = 152068466863 * c28194(6881275360......)

n=84885: x45265(1109988900......) = 153590749231 * x45253(7226925485......)

September 8, 2008 2008 年 9 月 8 日 (Kurt Beschorner)

n=2903: c2862(4367353627......) = 2294410070184731595689 * c2841(1903475618......)

n=4147: c3344(4397079615......) = 110472544945295705173 * c3324(3980246510......)

n=4147: c3324(3980246510......) = 2112705111570766009441 * c3303(1883957438......)

September 10, 2008 2008 年 9 月 10 日 (Makoto Kamada)

n=85410: c20722(3604964039......) = 157524823171 * c20711(2288505371......)

n=85650: c22790(3684445101......) = 155256127651 * c22779(2373139892......)

n=85778: c33360(9090910000......) = 151018945463 * c33349(6019714925......)

n=86401: x74052(9000000900......) = 157153223683 * x74041(5726895503......)

n=87304: c37383(4791039029......) = 151011387577 * c37372(3172634266......)

n=87455: x69955(1286386875......) = 155600810551 * x69943(8267224772......)

n=87690: c22465(1098890109......) = 159022044331 * c22453(6910300484......)

n=87706: c43852(9090909090......) = 157259138357 * c43841(5780846306......)

n=88010: c32448(9091000000......) = 152863248851 * c32437(5947145614......)

n=88729: x88729(1111111111......) = 155848761883 * x88717(7129418916......)

n=89041: x89030(3846329228......) = 151979452769 * x89019(2530821870......)

n=89792: c42229(3758449490......) = 155380835777 * c42218(2418862964......)

n=90010: c35996(1222060637......) = 153738610171 * c35984(7948950727......)

n=90270: c22253(1815368731......) = 156703664881 * c22242(1158472415......)

n=90482: c36954(9133811512......) = 152260304659 * c36943(5998813369......)

n=90668: c42900(4015050232......) = 150484490309 * c42889(2668082421......)

n=90690: c24160(3146649653......) = 158353174171 * c24149(1987108670......)

n=90737: x87774(4132821536......) = 151971227399 * x87763(2719476316......)

n=90784: x45371(3671705470......) = 155442997537 * x45360(2362091267......)

n=91006: x45502(9090909090......) = 152753571001 * x45491(5951356181......)

n=91276: c43194(3353132306......) = 159021321029 * c43183(2108605490......)

n=91333: x75235(2737228774......) = 152753163839 * x75224(1791929349......)

n=91731: x61134(3509970932......) = 153386340493 * x61123(2288320407......)

n=92573: x85431(7236904257......) = 153131109119 * x85420(4725953007......)

n=92860L: c18548(4160710744......) = 152778100721 * c18537(2723368548......)

n=93146: x46556(6066190902......) = 154198825139 * x46545(3934005915......)

n=94470: c24279(4001155585......) = 156959259841 * c24268(2549168229......)

n=94704: c31545(8799346050......) = 151664857249 * c31534(5801835843......)

n=95467: x95467(1111111111......) = 151563218267 * x95455(7331007640......)

n=96100M: c18600(9999999999......) = 151355770201 * c18589(6606949960......)

n=97540M: c19483(3004551042......) = 159688098701 * c19472(1881512189......)

n=97561: x97561(1111111111......) = 150922574317 * x97549(7362126680......)

n=98162: x49073(1909511018......) = 156122538197 * x49062(1223084790......)

n=98273: x82801(1111110999......) = 158586677929 * x82789(7006332527......)

n=98643: x65001(1109999999......) = 154200118603 * x64989(7198438043......)

n=98737: x98720(3374023618......) = 153092508397 * x98709(2203911643......)

n=98845: x77377(1111099999......) = 155435739401 * x77365(7148291662......)

n=99194: x49587(2512274449......) = 156728305493 * x49576(1602948772......)

n=99304: x49642(3051235706......) = 155497055177 * x49631(1962246617......)

September 10, 2008 2008 年 9 月 10 日 (Makoto Kamada)

n=66183: c40705(1109999999......) = 148122848641 * c40693(7493779725......)

n=66348: c20736(9999990000......) = 140392434349 * c20725(7122883826......)

n=66392: c32238(1303772745......) = 148511800057 * c32226(8778916859......)

n=67189: x67179(1618840035......) = 141961084919 * x67168(1140340704......)

n=67719: x45138(9502502469......) = 147687148159 * x45127(6434210822......)

n=68175: c35989(3361757237......) = 147397758751 * c35978(2280738368......)

n=68246: c34105(1473084492......) = 144254709517 * c34094(1021169081......)

n=68648: c34314(7282799802......) = 140967981521 * c34303(5166279409......)

n=68776: c34372(2516501172......) = 149804444401 * c34361(1679857485......)

n=68839: x63352(1732208761......) = 143119172239 * x63341(1210326145......)

n=69040: c27574(1495662750......) = 145394926081 * c27563(1028689783......)

n=69456: c23137(1000000009......) = 145944281089 * c23125(6851930082......)

n=69872: c31672(5914001920......) = 142588069889 * c31661(4147613418......)

n=69902: c29953(1099999890......) = 141771951007 * c29941(7758938789......)

n=69986: c29973(9980843272......) = 148213971277 * c29962(6734077217......)

September 9, 2008 2008 年 9 月 9 日 (Makoto Kamada)

n=70476: c20112(9901000000......) = 148981330681 * c20101(6645799144......)

n=70612: c34777(1009999999......) = 147285616529 * c34765(6857424532......)

n=70657: x70649(2944835419......) = 142957905763 * x70638(2059931840......)

n=71986: c35986(9714388242......) = 143561175899 * c35975(6766723789......)

n=72027: x46801(1001000999......) = 148744110133 * x46789(6729684954......)

n=72106: c34861(1099999999......) = 147497509891 * c34849(7457753021......)

n=72361: x72093(1000000000......) = 144203750519 * x72081(6934632396......)

n=72366: c20649(8164649296......) = 147990062053 * c20638(5517025388......)

n=72923: x72923(1111111111......) = 142004416361 * x72911(7824482784......)

n=73110: c19482(2648323089......) = 146446348561 * c19471(1808391343......)

n=73189: x73189(1111111111......) = 145782827053 * x73177(7621687228......)

n=74204: c34204(4846490908......) = 149646835781 * c34193(3238619034......)

n=74835: c39868(7518092919......) = 141452518321 * c39857(5314923345......)

n=75692: c37297(1009999999......) = 142695693781 * c37285(7077999154......)

n=76539: x49321(1109999999......) = 144659016157 * x49309(7673216848......)

n=76880: c29755(1083939164......) = 140066749441 * c29743(7738732920......)

n=77074: c38017(1099999999......) = 141903793139 * c38005(7751730772......)

n=77206: c38592(4065319888......) = 142681320361 * c38581(2849230633......)

n=77715: c37440(9990000009......) = 140887502911 * c37429(7090763767......)

n=77767: x73641(4040066865......) = 147514355893 * x73630(2738761824......)

n=79087: x79080(3054178655......) = 147597537317 * x79069(2069261256......)

n=79144: c36481(1000099999......) = 146147231257 * c36469(6843099191......)

n=80284: c40140(9900990099......) = 143386180309 * c40129(6905121593......)

n=80516: c40256(9900990099......) = 147524474809 * c40245(6711422027......)

n=80702: c40350(9090909090......) = 143426257567 * c40339(6338385484......)

n=81118: c40552(3113059568......) = 149751534211 * c40541(2078816477......)

n=81391: x80779(1842951835......) = 149170657507 * x80768(1235465383......)

n=81492: c27161(1009998990......) = 146080032949 * c27149(6914011241......)

n=81576: c24480(9999999999......) = 141372023761 * c24469(7073535296......)

n=81674: c40314(1870580010......) = 143308712383 * c40303(1305280034......)

n=81834: c26048(9100000000......) = 143777346127 * c26037(6329230748......)

n=81850: c32711(7086359926......) = 140067940601 * c32700(5059230467......)

n=82012: c33582(1189094754......) = 141618649649 * c33570(8396455958......)

n=82102: c41040(6428646737......) = 149854130339 * c41029(4289936301......)

n=82345: x64177(1111099999......) = 148213094881 * x64165(7496638545......)

n=82379: x74865(1306725526......) = 144189611281 * x74853(9062549752......)

n=82823: x72865(1111111111......) = 140731350787 * x72853(7895263599......)

n=83384: c35688(8798455985......) = 145556944849 * c35677(6044683058......)

n=84010: c32396(1082120198......) = 144006245561 * c32384(7514397686......)

n=84075: c41755(5946976229......) = 142918083601 * c41744(4161108293......)

n=84250: c33587(7968516675......) = 144789354001 * c33576(5503523881......)

n=84339: x56220(9990000009......) = 141155485453 * x56209(7077302010......)

n=84916: c36960(9900990099......) = 144893869121 * c36949(6833270558......)

September 7, 2008 2008 年 9 月 7 日 (Kurt Beschorner)

n=4123: c3229(5630500598......) = 80695751908570605666004279 * c3203(6977443626......)

September 7, 2008 2008 年 9 月 7 日 (Makoto Kamada)

n=85668: c25510(1075135331......) = 148747061761 * c25498(7227943319......)

n=86579: x86570(1485014392......) = 142831454197 * x86559(1039697033......)

n=88164: c28080(9999990000......) = 140384154349 * c28069(7123303941......)

n=88290: c23314(1709189911......) = 141417271441 * c23303(1208614686......)

n=88338: c29440(1243959178......) = 144498000121 * c29428(8608833185......)

n=89873: x74737(1111110999......) = 147500106839 * x74725(7532950475......)

n=90035: x65441(1111099999......) = 144927538801 * x65429(7666589864......)

n=90095: x69978(1712852218......) = 146784395711 * x69967(1166917103......)

n=90104: c38593(1000099999......) = 146538838321 * c38581(6824811848......)

n=90300L: c10070(4898867215......) = 141204548101 * c10059(3469340953......)

n=90384: c25720(2169818588......) = 143498157601 * c25709(1512088116......)

n=90576: c27639(5792168412......) = 143577542737 * c27628(4034174357......)

n=90629: x69961(1000000000......) = 141431992241 * x69949(7070536051......)

n=90934: c43057(1099999999......) = 142282065517 * c43045(7731121951......)

n=91213: x89440(9000000000......) = 142008789997 * x89429(6337635860......)

n=91421: x83085(1469452385......) = 143406637441 * x83074(1024675294......)

n=92193: x60518(1377128568......) = 146912495677 * x60506(9373801474......)

n=92528: x46249(4698929879......) = 145035696913 * x46238(3239843693......)

n=93055: x72289(1111099999......) = 149521704551 * x72277(7431028179......)

n=93326: x46657(4870486459......) = 148901166371 * x46646(3270952523......)

n=93830: c34080(9091000000......) = 143786217961 * c34069(6322580932......)

n=94077: x62712(9990000009......) = 142659679879 * x62701(7002679396......)

n=94810: c35845(7779560799......) = 140057124401 * c35834(5554562706......)

September 6, 2008 2008 年 9 月 6 日 (Makoto Kamada)

n=95240: c38071(2021335896......) = 148240107601 * c38060(1363555335......)

n=97288: x48640(9999000099......) = 144660445841 * x48629(6912048446......)

n=98097: x61921(1109999999......) = 149286368929 * x61909(7435374093......)

n=98254: x45337(1099999999......) = 147262603931 * x45325(7469649256......)

n=98272: x47233(1000000000......) = 143796504001 * x47221(6954271989......)

n=98782: x49390(9090909090......) = 141644793967 * x49379(6418103225......)

n=99103: x99095(2458701673......) = 145357739603 * x99084(1691483150......)

n=99583: x90411(1483509324......) = 141748633027 * x90400(1046577517......)

September 6, 2008 2008 年 9 月 6 日 (Makoto Kamada)

n=66240: c16887(2917446440......) = 137823183361 * c16876(2116803842......)

n=66313: x61200(9000000000......) = 130351198849 * x61189(6904424416......)

n=67005: c35713(1001000999......) = 133402666681 * c35701(7503605624......)

n=67559: x67553(8223204072......) = 132907604639 * x67542(6187158436......)

n=67600: c24961(1000000000......) = 135624528001 * c24949(7373297549......)

n=67882: c33940(9090909090......) = 138713133491 * c33929(6553747912......)

n=67913: x67200(9000000000......) = 130146843289 * x67189(6915265689......)

n=67919: x64938(9465046110......) = 133741340471 * x64927(7077128191......)

n=68170: c25589(2016726008......) = 133944847051 * c25578(1505639113......)

n=68377: x67600(9000000000......) = 134285180039 * x67589(6702154323......)

n=69037: x62379(1594670068......) = 138253496201 * x62368(1153439234......)

n=69148: c33857(8828070278......) = 133021459709 * c33846(6636576006......)

n=69182: c34580(1683952263......) = 133860251801 * c34569(1257992750......)

n=69723: x45361(1001000999......) = 132906819277 * x45349(7531599999......)

September 5, 2008 2008 年 9 月 5 日 (Alfred Reich)

n=16368: c4789(4906415915......) = 20430277323413233 * c4773(2401541515......)

n=16950: c4462(1421725009......) = 817817753819513626801 * c4441(1738437448......)

September 5, 2008 2008 年 9 月 5 日 (Yousuke Koide)

n=2945: c2146(2800505042......) = 1097454168001039624401641 * c2122(2551819587......)

September 5, 2008 2008 年 9 月 5 日 (Makoto Kamada)

n=70200: c17280(9999999999......) = 136689789601 * c17269(7315835388......)

n=70230: c18704(5659291564......) = 135309050881 * c18693(4182492987......)

n=70389: c42121(1000000000......) = 134586020449 * c42109(7430192204......)

n=70707: c36279(3698836140......) = 134368613107 * c36268(2752753083......)

n=70775: x53270(4116869138......) = 137838134351 * x53259(2986741773......)

n=71223: x47473(9300746453......) = 139682547601 * x47462(6658488560......)

n=72107: x61793(1421577702......) = 131716270547 * x61782(1079272664......)

n=72669: x48444(9009009009......) = 135750633493 * x48433(6636439755......)

n=73062: c21600(9999999999......) = 136116040303 * c21589(7346672719......)

n=74999: x72936(9000000000......) = 136462030483 * x72925(6595241158......)

September 4, 2008 2008 年 9 月 4 日 (Makoto Kamada)

n=75064: c34081(1000099999......) = 135049068617 * c34069(7405456477......)

n=75068: c32073(9797907372......) = 135704552341 * c32062(7220028512......)

n=75384: c25057(1000000000......) = 134405375113 * c25045(7440178632......)

n=75865: x60688(9000090000......) = 134967476521 * x60677(6668339834......)

n=75933: c41760(9990000009......) = 139518534871 * c41749(7160338960......)

n=76372: c37425(2755419987......) = 134873257489 * c37414(2042969850......)

n=77287: x64801(1111110999......) = 130385023889 * x64789(8521768580......)

n=77317: x77317(1111111111......) = 138226095529 * x77305(8038359955......)

n=77661: x51761(6431799337......) = 130963316707 * x51750(4911145730......)

n=77786: c34841(1941374742......) = 135358996757 * c34830(1434241379......)

n=77999: x77999(1111111111......) = 135309701239 * x77987(8211614547......)

n=78288: c22254(2219798938......) = 131629215649 * c22243(1686402921......)

n=78613: x77847(2855914890......) = 136437578281 * x77836(2093202566......)

n=78760: c28465(3173332288......) = 132926874961 * c28454(2387276681......)

n=78761: x71675(7053643665......) = 136044662911 * x71664(5184799987......)

n=79021: x74844(9000000000......) = 130419577283 * x74833(6900804455......)

n=79129: x77584(9000000000......) = 137814548077 * x77573(6530515192......)

n=79608: c25440(9999000100......) = 132505685017 * c25429(7546091398......)

n=80156: c38641(1009999999......) = 135584675561 * c38629(7449219432......)

n=80448: c26753(1000000000......) = 139667059969 * c26741(7159884372......)

n=80860L: c14880(3541003541......) = 139570909661 * c14869(2537064170......)

n=81168: c25344(9999999900......) = 136306964593 * c25333(7336382208......)

n=81214: c34786(4725572238......) = 134465613731 * c34775(3514335083......)

n=81928: c30233(2195294785......) = 137211867409 * c30222(1599930695......)

n=81973: x81963(5593215562......) = 135195937603 * x81952(4137118068......)

n=82759: x82749(4720768067......) = 133782406271 * x82738(3528691252......)

n=83163: x52489(1109999999......) = 133371496969 * x52477(8322617839......)

n=83442: c27803(1510574306......) = 134171231437 * c27792(1125855587......)

n=83699: x65161(1111110999......) = 134571084803 * x65149(8256684573......)

n=83788: c41884(2625936907......) = 138982507121 * c41873(1889401020......)

n=83817: x54649(1001000999......) = 130303081639 * x54637(7682097671......)

n=84023: x82800(9000000000......) = 130417139681 * x82789(6900933437......)

n=84180L: c10561(2555229610......) = 138709026061 * c10550(1842150927......)

n=84701: x84701(1111111111......) = 137770072747 * x84689(8064967151......)

n=85226: c41581(1099999999......) = 134329812161 * c41569(8188800254......)

n=85632: c28400(2283662928......) = 135928212097 * c28389(1680050736......)

n=85679: x77874(3282600140......) = 135950981893 * x77863(2414546842......)

n=85728: c26479(1181067657......) = 138526675009 * c26467(8525922229......)

n=86043: x51728(3920221859......) = 135657630919 * x51717(2889790889......)

n=86183: x86183(1111111111......) = 131813106449 * x86171(8429443331......)

n=86971: x83944(9000000000......) = 131703490199 * x83933(6833531887......)

n=87217: x80496(9000000000......) = 134316796511 * x80485(6700576721......)

n=87273: x58155(3276019636......) = 137116530307 * x58144(2389222969......)

n=87720: c21495(6074080332......) = 134320899121 * c21484(4522066463......)

n=87822: c23041(1000999998......) = 139289204881 * c23029(7186486561......)

n=87855: x46849(1109988900......) = 138867830041 * x46837(7993132028......)

n=88541: x86106(3909530000......) = 132528345883 * x86095(2949957591......)

n=88747: x88740(4471421424......) = 132990041911 * x88729(3362222734......)

n=89437: x84160(9000000000......) = 132841133849 * x84149(6775009922......)

n=89593: x76783(2511350157......) = 133332660973 * x76772(1883522116......)

September 3, 2008 2008 年 9 月 3 日 (Kurt Beschorner)

n=4113: c2703(1058099181......) = 32028620133253185775554283 * c2677(3303605266......)

September 3, 2008 2008 年 9 月 3 日 (Yousuke Koide)

n=3093: c2053(6574963455......) = 1096632027427061203449128161 * c2026(5995596782......)

September 3, 2008 2008 年 9 月 3 日 (Makoto Kamada)

n=90022: c40382(2804425958......) = 132244658573 * c40371(2120634579......)

n=90251: x77352(9000000900......) = 132134684081 * x77341(6811232767......)

n=90377: x77460(9000000900......) = 130375510399 * x77449(6903137615......)

n=91039: x81697(1111111111......) = 135542504761 * x81685(8197510537......)

n=91101: x60732(9009009009......) = 133426524601 * x60721(6752037524......)

n=91130: c33590(2550144345......) = 132325134241 * c33579(1927180622......)

n=91553: x67190(3631812609......) = 130480786283 * x67179(2783407973......)

n=91753: x91738(4185135733......) = 137922192071 * x91727(3034417935......)

n=91787: x91176(9000000000......) = 134085019637 * x91165(6712159213......)

n=91937: x90816(9000000000......) = 138201353267 * x90805(6512237244......)

n=92192: x44346(9860834049......) = 134307426017 * x44335(7341987216......)

n=93072: c26496(9999999900......) = 131440373569 * c26485(7608012384......)

n=94148: x47072(9900990099......) = 136305214849 * x47061(7263838078......)

n=94290: c21505(1098890000......) = 130735725121 * c21493(8405430107......)

n=94379: x94379(1111111111......) = 135777404561 * x94367(8183328549......)

n=94500M: c10800(9999999999......) = 131014611001 * c10789(7632736473......)

n=94771: x94752(4051276449......) = 131678239157 * x94741(3076648408......)

n=94825: x75822(2154154957......) = 131409812551 * x75811(1639264919......)

n=94892: c40646(5698053550......) = 137506099361 * c40635(4143855128......)

n=95083: x95083(1111111111......) = 135925522319 * x95071(8174411193......)

n=95682: c30955(2377661478......) = 138729140437 * c30944(1713887558......)

n=95905: x76714(1203125528......) = 131559410041 * x76702(9145111917......)

n=96586: c41383(1626970875......) = 130676318459 * c41372(1245038806......)

n=96724: x48354(1968525059......) = 136915917169 * x48343(1437762022......)

n=96812: x48398(6818013800......) = 134571971609 * x48387(5066444163......)

n=97051: x90721(1111111111......) = 130285144441 * x90709(8528302408......)

n=97148: x47945(1128828263......) = 135871678541 * x47933(8308046793......)

n=97565: x67387(1537449328......) = 138211164391 * x67376(1112391560......)

n=97931: x97931(1111111111......) = 130464657511 * x97919(8516567875......)

n=98293: x90706(6314604344......) = 136670912093 * x90695(4620298677......)

n=98505: x47520(9990000009......) = 139725796321 * x47509(7149717713......)

n=98598: c32865(1098901098......) = 139188331651 * c32853(7895066244......)

n=99124: x49560(9900990099......) = 138476723621 * x49549(7149930934......)

n=99138: c28790(5590385212......) = 137418552493 * c28779(4068144446......)

n=99220M: c17595(2519621750......) = 133724449541 * c17584(1884189285......)

September 3, 2008 2008 年 9 月 3 日 (Makoto Kamada)

n=66731: x57183(1371799748......) = 125145448933 * x57172(1096164311......)

n=66744: c22033(1000000000......) = 123501028537 * c22021(8097098557......)

n=67044: c21600(9901000000......) = 122428847269 * c21589(8087146306......)

n=67105: x53663(1492455177......) = 123916629841 * x53652(1204402653......)

n=67130: c22842(4137906078......) = 127717510201 * c22831(3239889402......)

n=67601: x67587(1244557016......) = 125821550039 * x67575(9891445590......)

n=67889: x65520(9000000000......) = 125781616307 * x65509(7155258665......)

n=68522: c34260(9090909090......) = 120859857343 * c34249(7521859855......)

n=68523: c35989(1142073527......) = 123733351561 * c35977(9230118744......)

n=68987: x68371(2174317445......) = 122960083243 * x68360(1768311624......)

n=69201: c41754(2189493193......) = 120879337987 * c41743(1811304752......)

n=69497: x69497(1111111111......) = 120181440089 * x69485(9245280388......)

n=69714: c23214(1862898496......) = 128773121383 * c23203(1446651658......)

n=69964: c34974(3824741633......) = 127546820741 * c34963(2998696173......)

n=69985: x55978(1368087786......) = 122797220671 * x55967(1114103217......)

n=70174: c32377(1099999999......) = 127103359241 * c32365(8654373940......)

n=70338: c22167(1060288169......) = 120683267557 * c22155(8785709821......)

n=70659: x47088(9999999990......) = 128279153413 * x47077(7795498897......)

n=71677: x71136(9000000000......) = 123326729431 * x71125(7297688053......)

n=71817: x46513(1109999999......) = 120385113493 * x46501(9220409133......)

n=71928: c23329(1000000000......) = 128249781841 * c23317(7797284218......)

n=72181: x65507(2672444133......) = 121546018987 * x65496(2198709720......)

n=72489: x47506(3475722937......) = 120809297533 * x47495(2877032652......)

n=72775: x55990(2278429949......) = 120462419801 * x55979(1891403106......)

n=72963: c43552(9989487363......) = 122330787283 * c43541(8165963438......)

n=72998: c32256(9090909090......) = 129333038533 * c32245(7029069442......)

n=73896: c24625(1000099999......) = 120634998313 * c24613(8290297293......)

n=74648: c30240(9999000099......) = 122685480961 * c30229(8150108734......)

September 2, 2008 2008 年 9 月 2 日 (Kurt Beschorner)

n=10607: c10596(2697005913......) = 89331439116659829940668239 * c10570(3019100487......)

n=10609: c10502(2356434243......) = 6149825130906053 * c10486(3831709347......)

n=10615: c7663(5250921150......) = 5575849492841 * c7650(9417257688......)

n=10627: c10621(4356461350......) = 327250972369889 * c10607(1331229459......)

n=10633: c8816(2351115604......) = 96431844864923 * c8802(2438111194......)

n=10635: c5665(1109988900......) = 2832978795485969341591 * c5643(3918098157......)

n=10643: c10248(9000000000......) = 6305375276489 * x10236(1427353584......)

n=10643: x10236(1427353584......) = 31141295562929 * c10222(4583475280......)

n=10653: c6854(6608058660......) = 5616783819754231 * c6839(1176484421......)

n=10655: c8520(9000090000......) = 13374404893575911 * x8504(6729338667......)

n=10655: x8504(6729338667......) = 747448572525336991 * x8486(9003079161......)

n=10655: x8486(9003079161......) = 3551892930903084721 * c8468(2534727070......)

n=10663: c10656(4962020939......) = 334130747603689 * x10642(1485053672......)

n=10663: x10642(1485053672......) = 30436214871748997 * x10625(4879232451......)

n=10663: x10625(4879232451......) = 7057433926503427928533 * c10603(6913606988......)

n=10665: c5604(7656472774......) = 610357479012271 * c5590(1254424339......)

n=10667: c10667(1111111111......) = 731182212442117 * c10652(1519609055......)

n=10671: c7101(4777522735......) = 45311286222852763237 * c7082(1054378088......)

n=10679: c10433(7458190008......) = 101710602149377601 * x10416(7332755731......)

n=10679: x10416(7332755731......) = 2282403244499199599 * p10398(3212734537......)

Primality testing 3212734537...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 41
Running N+1 test using discriminant 59, base 1+sqrt(59)
Running N+1 test using discriminant 59, base 2+sqrt(59)
Calling N+1 BLS with factored part 0.10% and helper 0.04% (0.36% proof)
3212734537...... is Fermat and Lucas PRP! (70.0919s+0.0807s)

n=10685: c8533(9002987804......) = 737862371415572551 * c8516(1220144589......)

n=10691: c10691(1111111111......) = 101508899957761 * c10677(1094594771......)

n=10697: c10108(1210934641......) = 56903501249234561107 * c10088(2128049442......)

September 2, 2008 2008 年 9 月 2 日 (Makoto Kamada)

n=76045: x59665(1111099999......) = 126299642431 * x59653(8797332903......)

n=76060M: c15208(3576409999......) = 129536721161 * c15197(2760923672......)

n=76858: c37867(1511789024......) = 124375765933 * c37856(1215501278......)

n=76883: x76875(2925500717......) = 122999114827 * x76864(2378472984......)

n=77057: x76492(8848231505......) = 124464778111 * x76481(7109024448......)

n=77273: x61993(1000000100......) = 125976935533 * x61981(7937961784......)

n=77731: x77731(1111111111......) = 123836520803 * x77719(8972402518......)

n=77825: x56395(2141573741......) = 121420541551 * x56384(1763765598......)

n=78288: c22265(2735192549......) = 123218031217 * c22254(2219798938......)

n=78403: x69979(3542937031......) = 120738424717 * x69968(2934390637......)

n=78958: c34560(9090909091......) = 128074771397 * c34549(7098126345......)

n=79089: x51352(2638124341......) = 122040179587 * x51341(2161685069......)

n=79615: x63683(1130450128......) = 122240871001 * x63671(9247726386......)

n=80163: x53424(9999999990......) = 124733628001 * x53413(8017084205......)

n=80765: x62264(5894257383......) = 125929434121 * x62253(4680603406......)

n=80886: c23030(5959860932......) = 129490154743 * c23019(4602559124......)

n=80974: c40486(9090909090......) = 123833133331 * c40475(7341257421......)

n=81420L: c10193(7470533312......) = 129063320101 * c10182(5788269902......)

n=82063: x81328(9000000000......) = 121017977849 * x81317(7436911572......)

n=82643: x75015(1008352181......) = 122233625009 * x75003(8249384578......)

n=83132: c35617(1009999999......) = 120197150389 * c35605(8402861438......)

n=83422: c40837(1864538279......) = 123937813007 * c40826(1504414378......)

n=83960: c33569(1000099999......) = 124696720321 * c33557(8020259052......)

n=84364: c34301(5002469831......) = 122030585629 * c34290(4099357391......)

n=84495: c43666(2309267751......) = 126363455431 * c43655(1827480693......)

n=84938: c36387(7944191818......) = 126795106649 * c36376(6265377291......)

September 1, 2008 2008 年 9 月 1 日 (Makoto Kamada)

n=85244: c41985(1259886486......) = 126402957229 * c41973(9967223188......)

n=85266: c28405(1000000000......) = 128673812143 * c28393(7771589139......)

n=85348: c40393(1009999999......) = 129401650421 * c40381(7805155473......)

n=85630: c34249(1099989000......) = 120558733891 * c34237(9124092171......)

n=86301: x55939(5799441492......) = 129627554041 * x55928(4473926501......)

n=86397: x55681(1109999999......) = 123961033249 * x55669(8954426813......)

n=86499: x49387(2893091558......) = 121223504557 * x49376(2386576406......)

n=87132: c28274(1966428591......) = 121354748509 * c28263(1620396907......)

n=87375: x46401(1000000000......) = 128776071001 * x46389(7765417846......)

n=87693: x58455(1712221782......) = 124847822557 * x58444(1371447052......)

n=87869: x87853(1021948889......) = 129778471027 * x87841(7874564102......)

n=88550: c26375(7728262669......) = 129119625251 * c26364(5985350913......)

n=88589: x88589(1111111111......) = 127077554119 * x88577(8743567019......)

n=88862: c43993(1099999999......) = 123731271077 * c43981(8890234379......)

n=89099: x88320(9000000000......) = 126052988449 * x88309(7139854525......)

n=89850: c23920(9999900001......) = 125398972801 * c23909(7974467236......)

n=90684: c27360(9999990000......) = 124471679509 * c27349(8033947994......)

n=90829: x89275(2477175579......) = 129354483667 * x89264(1915028771......)

n=90845: x72649(2094176187......) = 127727888311 * x72638(1639560643......)

n=91015: x71694(9167791441......) = 122987477321 * x71683(7454247897......)

n=91032: c30308(9536041960......) = 127914798217 * c30297(7454995116......)

n=91974: c30650(2542117232......) = 128185451437 * c30639(1983155813......)

n=92159: x91409(3463025031......) = 129797657191 * x91398(2668018134......)

n=92302: c37368(9090910000......) = 129709693051 * c37357(7008658941......)

n=92356: c41961(1009999999......) = 126483850901 * c41949(7985209121......)

n=92359: x87480(9000000000......) = 122819367637 * x87469(7327834504......)

n=93891: x50296(3143898881......) = 126332218321 * x50285(2488596277......)

n=94147: x91080(9000000000......) = 122850349067 * x91069(7325986509......)

n=94295: x75410(4854302568......) = 123333333841 * x75399(3935920985......)

n=94309: x94309(1111111111......) = 123286571959 * x94297(9012426036......)

n=94431: x62928(5963898277......) = 128463554677 * x62917(4642482681......)

n=94543: x94527(5720246397......) = 121618791599 * x94516(4703423148......)

n=94618: x47308(9090909090......) = 122950035449 * x47297(7393986555......)

n=94740L: c12625(2529932837......) = 124304374921 * c12614(2035272562......)

n=95020L: c18996(2972038812......) = 125386586621 * c18985(2370300438......)

n=95209: x90175(2363215758......) = 120308948671 * x90164(1964289261......)

n=95457: x62193(1109999999......) = 128315590369 * x62181(8650546646......)

n=95481: x63036(9999999999......) = 126078077413 * x63025(7931593029......)

n=95604: c30720(9901000000......) = 123877640149 * c30709(7992564265......)

n=97206: c30464(9100000000......) = 124902516757 * c30453(7285681855......)

n=97237: x80305(1111110999......) = 121837572053 * x80293(9119608847......)

n=97319: x96686(1494292500......) = 129587450107 * x96675(1153115134......)

n=97539: x57595(2309072760......) = 121822504519 * x57584(1895440230......)

n=97574: x48786(9090909090......) = 121773230167 * x48775(7465441360......)

n=97574: x48775(7465441360......) = 123900636089 * x48764(6025345467......)

n=97816: x48891(3571591721......) = 126566861249 * x48880(2821901156......)

n=97976: x47521(1000099999......) = 124396991969 * x47509(8039583467......)

n=98689: x98689(1111111111......) = 124635324991 * x98677(8914897210......)

n=99446: x47089(1099999999......) = 121340031361 * x47077(9065433622......)

n=99495: x47520(9999999990......) = 129264102991 * x47509(7736099782......)

n=99915: x53275(5554638169......) = 124497487111 * x53264(4461646815......)

September 1, 2008 2008 年 9 月 1 日 (Makoto Kamada)

n=65756: c30895(2554118358......) = 111002703601 * c30884(2300951486......)

n=65829: c43878(1200479792......) = 116851083031 * c43867(1027358721......)

n=65948: c32972(9900990099......) = 119758336549 * c32961(8267474636......)

n=66967: x66392(2966767154......) = 117350158187 * x66381(2528132215......)

n=67134: c21912(9100000000......) = 118840472533 * c21901(7657323978......)

n=67302: c22423(3718300647......) = 115184344411 * c22412(3228130234......)

n=67383: x44916(9990000009......) = 113142121471 * x44905(8829602874......)

n=67430: c24471(2287277689......) = 117453552371 * c24460(1947389111......)

n=67470: c16503(1208357793......) = 115898346721 * c16492(1042601406......)

n=67740M: c9018(1436449713......) = 112382759941 * c9007(1278176220......)

n=68193: x45456(9990000009......) = 116264018719 * x45445(8592512214......)

n=68331: x45552(9009009009......) = 113703330649 * x45541(7923258674......)

n=68746: c33409(1099999999......) = 112489217293 * c33397(9778715031......)

n=69062: c29584(2280600729......) = 117431919809 * c29573(1942062033......)

n=69410: c25193(1481621738......) = 119606201441 * c25182(1238749931......)

n=69484: c33481(1022202553......) = 111912111629 * c33469(9133976102......)

n=69751: x59512(8791214069......) = 114635908003 * x59501(7668813570......)

n=69845: x54721(1111099999......) = 112765450951 * x54709(9853195199......)

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