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January 30, 2011 2011 年 1 月 30 日 (Kurt Beschorner)

n=8713: c8672(5881631973......) = 14259978130350899384401 * c8650(4124572926......)

n=13420M: c2387(1226677570......) = 842714567293688423641631586182563061 * c2351(1455626398......)

January 27, 2011 2011 年 1 月 27 日 (Kurt Beschorner)

n=8737: c8719(3921222892......) = 1193889509830957385321 * c8698(3284410207......)

n=8741: c8726(3465773559......) = 30892843714955970320367517 * c8701(1121869385......)

n=8761: c8748(3593374922......) = 44348790089366490438517 * c8725(8102532031......)

n=8779: c8745(3085729420......) = 383625530545815671219237 * c8721(8043597661......)

n=11829: c7866(7988432162......) = 40600904818106377833601 * c7844(1967550279......)

January 25, 2011 2011 年 1 月 25 日 (Makoto Kamada)

n=59031: c33697(1001000999......) = 5522345799769 * c33684(1812637303......)

n=19703: c17271(9366050727......) = 8860443474067 * c17259(1057063425......)

n=59130: c15546(3451404738......) = 9443228042251 * c15533(3654899281......)

n=29573: c29550(5099333892......) = 6853768865159 * c29537(7440189468......)

n=59160: c14331(1408748297......) = 5205923699281 * c14318(2706048683......)

n=59164: c25319(4106897176......) = 9730114812349 * c25306(4220810602......)

n=59244: c19745(1009998990......) = 5936554025089 * c19732(1701321988......)

n=59265: c31537(1000000001......) = 7517474140321 * c31524(1330234041......)

n=59289: c39524(9009009009......) = 8322145070329 * c39512(1082534482......)

n=59302: c29305(1099999999......) = 8757064250807 * c29292(1256128730......)

n=59306: c27344(2248281750......) = 5172612682771 * c27331(4346510918......)

n=59311: c49219(6523108173......) = 9905716227919 * c49206(6585195883......)

n=59315: c47448(9000090000......) = 6935880539111 * c47436(1297613179......)

n=59330: c22272(9091000000......) = 9034563617731 * c22260(1006246719......)

n=59383: c57933(2665135612......) = 5987865802441 * c57920(4450894024......)

n=59403: c39588(3652875890......) = 7892172446839 * c39575(4628479566......)

n=59452: c29202(1147706706......) = 5970044039569 * c29189(1922442613......)

n=59499: c35983(1034906696......) = 6375508841791 * c35970(1623253487......)

n=59520: c15352(1987352168......) = 8665828565761 * c15339(2293320429......)

n=59659: c59637(2012210025......) = 6389999723071 * c59624(3148998612......)

n=59732: c29377(1009999999......) = 6724043186401 * c29364(1502072446......)

n=59745: c27252(3042867098......) = 5667622316791 * c27239(5368860041......)

n=29875: c23791(9809742487......) = 5859530794751 * c23779(1674151537......)

n=59884: c27195(1686591265......) = 6808307295329 * c27182(2477254906......)

n=59938: c28627(2189596969......) = 6551870730401 * c28614(3341941652......)

n=59947: c59400(9000000000......) = 6649335267599 * c59388(1353518756......)

n=59998: c29641(1099999999......) = 8327612843653 * c29628(1320906748......)

January 24, 2011 2011 年 1 月 24 日 (Makoto Kamada)

n=57975: c30869(4086236895......) = 6497068555801 * c30856(6289354746......)

n=28988: c14458(2755734921......) = 9232439892569 * c14445(2984839277......)

n=57990: c15456(9100090999......) = 5793414113251 * c15444(1570764806......)

n=58014: c17520(9990010000......) = 5106656359729 * c17508(1956272225......)

n=58070: c23225(1099989000......) = 6303264071411 * c23212(1745110132......)

n=58170: c13249(1098890000......) = 5508896603491 * c13236(1994755173......)

n=29105: c23267(1008516161......) = 5413444314881 * c23254(1862984272......)

n=58308: c18812(1698022603......) = 5802248904721 * c18799(2926490454......)

n=58409: c53904(9000000000......) = 5832156639973 * c53892(1543168429......)

n=58454: c26555(2090908918......) = 7748305202969 * c26542(2698537116......)

n=58463: c51841(1111111111......) = 9707106253129 * c51828(1144636807......)

n=58516: c29245(4240190673......) = 6196890803189 * c29232(6842448590......)

n=58645: c45505(1111099999......) = 6374368074881 * c45492(1743074743......)

n=58682: c25920(9090909090......) = 5634314028019 * c25908(1613489955......)

n=58736: c29360(9999999900......) = 7841066870081 * c29348(1275336643......)

n=58882: c28879(2075710600......) = 8357659499369 * c28866(2483602736......)

n=58947: c33590(1386795618......) = 5621656788637 * c33577(2466880619......)

n=58948: c29463(1131350491......) = 5203670953021 * c29450(2174139182......)

January 23, 2011 2011 年 1 月 23 日 (Kurt Beschorner)

n=8873: c8379(9525497573......) = 3972329459649974117234693 * x8355(2397962623......)

n=8873: x8355(2397962623......) = 158023595451893461294355894399 * c8326(1517471246......)

n=9583: c7975(6704593937......) = 687167172853886150012959 * c7951(9756860051......)

n=12183: c7801(1109999999......) = 92569078267300147 * c7784(1199104518......)

n=12184: c6076(2116514667......) = 1118869795856077869096374377753 * c6046(1891654127......)

January 23, 2011 2011 年 1 月 23 日 (Makoto Kamada)

n=57008: c24385(1000000009......) = 5200054782833 * c24372(1923056682......)

n=57155: c36935(6466415422......) = 9046379661551 * c36922(7148069907......)

n=57203: c57175(1561567228......) = 5369883574481 * c57162(2908009468......)

n=57207: c38126(5909936103......) = 5093647780231 * c38114(1160256138......)

n=57267: c32384(4496443001......) = 9338383659151 * c32371(4815012067......)

n=57364: c28669(8101830296......) = 5104987855141 * c28657(1587042031......)

n=57395: c42329(5627566333......) = 5443199116031 * c42317(1033871113......)

n=57424: c27649(1000000009......) = 6199329773729 * c27636(1613077617......)

n=57594: c18480(9100000000......) = 5361749944597 * c18468(1697207086......)

n=57647: c54240(9000000000......) = 8405847112009 * c54228(1070683285......)

n=57656: c28824(9999000099......) = 5771007556241 * c28812(1732626409......)

n=57704: c28848(9999000099......) = 6542842074233 * c28836(1528234975......)

n=57778: c24744(2960706632......) = 8478003985361 * c24731(3492221327......)

n=57816: c17274(4218595823......) = 9746273863657 * c17261(4328419129......)

n=57851: c52463(7679077320......) = 6989451142757 * c52451(1098666714......)

n=57869: c49560(9999999000......) = 7536355215439 * c49548(1326901229......)

n=57879: c37585(1001000999......) = 8468433457849 * c37572(1182037982......)

n=57949: c57430(2218699147......) = 7679659816643 * c57417(2889059151......)

January 22, 2011 2011 年 1 月 22 日 (Makoto Kamada)

n=56399: c48290(1122780128......) = 8086970718653 * c48277(1388381592......)

n=56422: c28210(9090909090......) = 5477400252677 * c28198(1659712394......)

n=56483: c48408(9000000900......) = 9637999975997 * c48395(9338037894......)

n=56499: c36577(1109999999......) = 6693454835677 * c36564(1658336430......)

n=56535: c30145(1109988900......) = 6130656417631 * c30132(1810554734......)

n=56537: c52176(9000000000......) = 6291949811369 * c52164(1430399203......)

n=56545: c44017(1111099999......) = 6269102985241 * c44004(1772342873......)

n=56690: c22673(1099989000......) = 6335869243531 * c22660(1736129578......)

n=56693: c44346(1603532806......) = 8656991846413 * c44333(1852297929......)

n=56718: c17942(1532120666......) = 5372630813197 * c17929(2851714029......)

n=56725: c45354(1241460065......) = 6962176796551 * c45341(1783149296......)

n=56734: c26837(8695923977......) = 7831919918881 * c26825(1110318295......)

n=56741: c54245(1326216228......) = 5551146678799 * c54232(2389085183......)

n=56755: c45393(1573193649......) = 7038727063031 * c45380(2235054201......)

n=56812: c24330(7407467166......) = 9640947200809 * c24317(7683339626......)

n=56844: c18913(6864061699......) = 6702456428821 * c18901(1024111349......)

n=56877: c37910(5279816521......) = 5235337767067 * c37898(1008495871......)

n=56901: c34984(1882606228......) = 6890261126893 * c34971(2732271235......)

n=56925: c26400(9999999999......) = 5267431917001 * c26388(1898458329......)

January 21, 2011 2011 年 1 月 21 日 (Serge Batalov)

n=3330: c844(9185302862......) = 1158396139516001097585411633417781050811 * c805(7929327929......)

# ECM B1=3000000, sigma=703981483

January 20, 2011 2011 年 1 月 20 日 (Kurt Beschorner)

n=8857: c8320(9000000000......) = 3655468207669698743647133 * c8296(2462064908......)

n=8891: c8342(1030625751......) = 7478788254016208514839 * c8320(1378065157......)

n=9359: c7967(1423120581......) = 170305373894585774247677 * c7943(8356286996......)

January 18, 2011 2011 年 1 月 18 日 (Serge Batalov)

n=6660L: c786(3085471220......) = 56106844977780287472974255882327701 * c751(5499277711......)

# ECM B1=3000000, sigma=2397688379

January 17, 2011 2011 年 1 月 17 日 (Kurt Beschorner)

n=8581: c8565(3923753757......) = 59557462134693585660475853 * c8539(6588181592......)

n=9071: c8832(9000000000......) = 5278253877541752614987 * c8811(1705109342......)

n=10085: c7998(5164760253......) = 75971096320739890603106671 * c7972(6798322655......)

n=10585: c8040(4972566345......) = 418185692261986695841 * c8020(1189080936......)

n=10795: c8039(4200134848......) = 3539772962016441678041 * c8018(1186554870......)

January 17, 2011 2011 年 1 月 17 日 (Serge Batalov)

n=14652: c4313(9978069179......) = 214295001546789359461 * c4293(4656230480......)

# P+1

January 16, 2011 2011 年 1 月 16 日 (Makoto Kamada)

n=55750: c22193(5622952577......) = 5835853581001 * c22180(9635184467......)

n=27901: c27884(4136014258......) = 8297172483437 * c27871(4984847870......)

n=55806: c18196(1630619814......) = 8370763163689 * c18183(1947994206......)

n=55853: c46801(1111110999......) = 5624694908197 * c46788(1975415588......)

n=56038: c28018(9090909090......) = 7823791937579 * x28006(1161956908......)

n=56038: x28006(1161956908......) = 7961096469331 * c27993(1459543811......)

n=56085: c29897(9607373031......) = 9703297706281 * c29884(9901142191......)

n=56124: c18697(1000000999......) = 7617144060469 * c18684(1312829312......)

n=56127: c36609(1109999999......) = 6582867991957 * c36596(1686195137......)

n=56153: c55680(9000000000......) = 5865202974283 * c55668(1534473749......)

n=56201: c54842(1780859308......) = 9752838961373 * c54829(1825990684......)

n=56218: c28108(9090909090......) = 7567364547437 * c28096(1201330930......)

n=56327: c51468(6385708221......) = 8402134453123 * c51455(7600102398......)

n=56349: c37515(1322276077......) = 9028029415681 * c37502(1464634214......)

November 2010 2010 年 11 月 (Geoffrey Reynolds)

n=16384: c8193(1000000000......) = 3635898263938497962802538435084289 * c8159(2750351982......)

# http://www.prothsearch.net/GFN10.html

January 14, 2011 2011 年 1 月 14 日 (Kurt Beschorner)

n=8641: c8618(5087355582......) = 3460395254577688501678031 * c8594(1470166038......)

n=8959: c8143(1064268045......) = 1294724678461378588770329 * c8118(8220033671......)

n=9059: c9042(3376589729......) = 1079319794702549876976569 * c9018(3128442326......)

n=10385: c7905(1843197794......) = 3627703186272166063031 * c7883(5080894713......)

January 14, 2011 2011 年 1 月 14 日 (Makoto Kamada)

n=54923: c49920(9000000000......) = 5613546037573 * c49908(1603264663......)

n=27463: c26483(2048205658......) = 5578987722653 * c26470(3671285473......)

n=54935: c43935(3177494552......) = 8252371737361 * c43922(3850401622......)

n=27495: c13236(3280779904......) = 6227975594881 * c13223(5267811111......)

n=55023: c36666(2785601549......) = 6142475767963 * c36653(4534981748......)

n=55075: c44040(9999900000......) = 7980757981751 * c44028(1253001284......)

n=55092: c18350(1663835241......) = 8888754502729 * c18337(1871842946......)

n=27643: c21474(1647336733......) = 7717124395289 * c21461(2134651003......)

n=55290: c13816(1507053728......) = 7747328848291 * c13803(1945255917......)

n=55314: c15768(9990010000......) = 7605810629929 * c15756(1313470777......)

n=55323: c36828(9999999999......) = 8784816843493 * c36816(1138327659......)

n=27715: c21108(8429742659......) = 6016342711241 * c21096(1401140703......)

n=55489: c47551(4054839856......) = 5697572454547 * c47538(7116785067......)

n=55515: c29565(7751519488......) = 5484373149511 * c29553(1413382947......)

n=55563: c37040(9009009009......) = 5119064862787 * c37028(1759893506......)

n=55583: c48593(5178788587......) = 5023736833963 * c48581(1030863828......)

n=55609: c55589(7774958232......) = 8804296815707 * c55576(8830867921......)

January 13, 2011 2011 年 1 月 13 日 (Serge Batalov)

n=19890: c4579(4247750145......) = 2451709578897625411 * c4561(1732566606......)

# ECM B1=250000, sigma=2996705608

January 13, 2011 2011 年 1 月 13 日 (Makoto Kamada)

n=53981: c51592(9871892549......) = 8843883747871 * c51580(1116239519......)

n=54024: c18001(1000099999......) = 8272684477273 * c17988(1208918341......)

n=54031: c53185(1043457693......) = 7295629248631 * c53172(1430250439......)

n=54090: c14396(1846889501......) = 8371251615241 * c14383(2206228633......)

n=27057: c17361(1109999999......) = 5352414062467 * c17348(2073830587......)

n=54147: c36089(1744031153......) = 6762557446321 * c36076(2578952071......)

n=54158: c24978(3275957420......) = 8277268258481 * c24965(3957776066......)

n=54187: c46423(1220697156......) = 7381626784351 * c46410(1653696660......)

n=54196: c25465(1173555509......) = 6054789476689 * c25452(1938226776......)

n=54304: c27136(9999999999......) = 5224516647457 * c27124(1914052662......)

n=54316: c26344(7326591423......) = 5302155738281 * c26332(1381813697......)

n=54331: c54319(6273482796......) = 8755999498667 * c54306(7164782041......)

n=54545: c43632(9000090000......) = 5695630354201 * c43620(1580174526......)

n=54565: c37383(3904672661......) = 9189641739041 * c37370(4248993347......)

n=54575: c41754(3272068820......) = 5191803249751 * c41741(6302374460......)

n=54622: c26396(2013803709......) = 5784077340931 * c26383(3481633440......)

n=54644: c25834(2809376015......) = 8036570674481 * c25821(3495739823......)

n=54655: c41067(2479393120......) = 8601562799441 * c41054(2882491447......)

n=54693: c35489(5028070519......) = 7682875350049 * c35476(6544516590......)

n=54806: c26911(2753321772......) = 9612663129743 * c26898(2864265329......)

n=54840: c14592(9999000100......) = 9362420912881 * c14580(1067993010......)

January 12, 2011 2011 年 1 月 12 日 (Serge Batalov)

n=2450: c841(1000000000......) = 5240352469572867909569390990706187998335241601 * p795(1908268586......)

# ECM B1=11000000, sigma=2316371584

# Phi_2450(10) is the 1013th factorized number of the form Phi_n(10) (n<=100000, L and M are combined).

# NOTE: Two CHG/ECPP proofs in progress.

January 11, 2011 2011 年 1 月 11 日 (Kurt Beschorner)

n=8549: c8364(9000000000......) = 48015105001586210039 * x8345(1874410146......)

n=8549: x8345(1874410146......) = 5148870018594588634529 * c8323(3640430113......)

January 11, 2011 2011 年 1 月 11 日 (Makoto Kamada)

n=53558: c26281(1099999999......) = 5051657828849 * c26268(2177502984......)

n=53588: c26776(1835015744......) = 7106269579861 * c26763(2582248989......)

n=53647: c48732(3502781485......) = 6312174473573 * c48719(5549246936......)

n=53692: c25909(7374041710......) = 5668649143181 * c25897(1300846378......)

n=53755: c39649(1111099999......) = 7562220286921 * c39636(1469277484......)

n=53783: c53772(6211895958......) = 7840054077643 * c53759(7923282030......)

n=53852: c26924(9900990099......) = 9008297937601 * c26912(1099096651......)

January 10, 2011 2011 年 1 月 10 日 (Kurt Beschorner)

n=8473: c8179(1142849875......) = 14602171659257517449551 * c8156(7826574717......)

n=8501: c8447(5761164834......) = 58139854520926237311631 * c8424(9909149037......)

n=8507: c8264(2427860713......) = 1148608237187278797302293 * c8240(2113741339......)

n=8543: c8528(4432411792......) = 27535737854113698211601681 * c8503(1609694214......)

January 10, 2011 2011 年 1 月 10 日 (Makoto Kamada)

n=52638: c16915(1920872709......) = 7334721937447 * c16902(2618875979......)

n=52667: c52660(8790373415......) = 7725526203427 * c52648(1137834910......)

n=26355: c11970(1490780218......) = 9097405546111 * c11957(1638687217......)

n=52798: c26367(2764243032......) = 5893747498733 * c26354(4690128026......)

n=52821: c35208(9990000009......) = 8394483931831 * c35196(1190067202......)

n=52840: c21121(1000099999......) = 6949319812481 * c21108(1439133651......)

n=52892: c22649(9547756792......) = 6281230980221 * c22637(1520045485......)

n=52967: c52955(2055264003......) = 8723928145991 * c52942(2355892860......)

n=52971: c35312(9009009009......) = 5130235523191 * c35300(1756061484......)

n=53012: c25527(2547267871......) = 7575162993001 * c25514(3362657507......)

n=26521: c24091(8484691453......) = 9544956645599 * c24078(8889188048......)

n=53050: c21196(1884997455......) = 5639867355851 * c21183(3342272674......)

n=53066: c24319(2303082220......) = 7691739724891 * c24306(2994227967......)

n=53079: c32641(1109999999......) = 9931327398877 * c32628(1117675367......)

n=53092: c24481(1009999999......) = 7878486730661 * c24468(1281972077......)

n=53093: c53081(4479154173......) = 7417928527123 * c53068(6038281653......)

n=53156: c26113(1009999999......) = 5586001382641 * c26100(1808091210......)

n=13295: c10621(2630970774......) = 5106465488561 * c10608(5152234516......)

n=53236: c26616(9900990099......) = 6539383804501 * c26604(1514055512......)

n=53313: c32785(1109999999......) = 8632026717991 * c32772(1285908902......)

n=53319: c30448(1361193458......) = 5999115517627 * c30435(2268990244......)

n=53333: c43169(2826387144......) = 6498799168919 * c43156(4349091380......)

n=53384: c26668(1324571372......) = 5445184495657 * c26655(2432555543......)

n=53399: c52536(9000000000......) = 7749602711237 * c52524(1161349856......)

n=53417: c42171(3705478857......) = 6688029439547 * c42158(5540464334......)

n=53462: c26685(3279185867......) = 8305417878139 * c26672(3948249101......)

n=53464: c25909(7328883822......) = 8992749161729 * c25896(8149770099......)

n=53534: c23511(6159658097......) = 6420875936567 * c23498(9593174137......)

n=53546: c26067(4893521863......) = 5761930044331 * c26054(8492851919......)

January 6, 2011 2011 年 1 月 6 日 (Torbjörn Granlund)

n=455: c211(2608772304......) = 573236013626994277781022022978585654644947311 * c166(4550956748......)

# c166 is the seventh smallest composite in the list.

# Phi_455(10) has the second biggest ratio of factored part in the list.

January 9, 2011 2011 年 1 月 9 日 (Makoto Kamada)

n=52210: c19867(2752134402......) = 6077148612331 * c19854(4528660688......)

n=52218: c17371(3743776652......) = 5754818315863 * c17358(6505464546......)

n=52299: c31969(1000000001......) = 6303390006187 * c31956(1586447927......)

n=52302: c16613(4948801603......) = 7355405262493 * c16600(6728115483......)

n=52307: c49536(9000000000......) = 5571737455441 * c49524(1615295062......)

n=52354: c26176(9090909090......) = 9879353301929 * c26163(9201927305......)

n=52369: c52362(9644065509......) = 8524828383293 * c52350(1131291455......)

n=52398: c16788(8588552461......) = 5340226583179 * c16776(1608274916......)

n=52463: c50143(5060086194......) = 7774274353477 * c50130(6508756912......)

n=52481: c43913(8401460990......) = 8095877867507 * c43901(1037745520......)

n=52500L: c5970(5325074207......) = 9391752982501 * c5957(5669947045......)

n=52566: c17516(2090477103......) = 5761115694463 * c17503(3628597678......)

n=26301: c15915(3516965397......) = 8927636688961 * c15902(3939413665......)

January 8, 2011 2011 年 1 月 8 日 (Makoto Kamada)

n=51250: c20001(1000000000......) = 5575051926251 * c19988(1793705266......)

n=51364: c25675(2753724832......) = 8532980100961 * c25662(3227154874......)

n=51459: c32257(1109999999......) = 9709371291547 * c32244(1143225412......)

n=51497: c49236(9000000000......) = 5230652460049 * c49224(1720626646......)

n=51534: c14682(2084438234......) = 6948082217539 * c14669(3000019528......)

n=51552: c17089(1000000000......) = 5896391096737 * c17076(1695952632......)

n=51739: c50033(4778846404......) = 6225367069237 * c50020(7676409039......)

n=51798: c16896(9100000000......) = 7234808522779 * c16884(1257807994......)

n=51799: c44161(1111111111......) = 9047737649479 * c44148(1228054077......)

n=51856: c22167(2824278227......) = 7657050270577 * c22154(3688467657......)

n=51912: c14675(2450278844......) = 6982507294057 * c14662(3509167611......)

n=51922: c23953(1099999999......) = 5582011580237 * c23940(1970615761......)

n=52003: c38016(9000000900......) = 6086710376111 * c38004(1478631369......)

n=52016: c25985(1060443792......) = 9449537459633 * c25972(1122217671......)

n=52046: c25472(1352563013......) = 8090148020099 * c25459(1671864359......)

n=52050: c13835(2401507201......) = 6894451235851 * c13822(3483246336......)

n=52051: c52022(4434247336......) = 5867051097157 * c52009(7557880888......)

January 7, 2011 2011 年 1 月 7 日 (Makoto Kamada)

n=50346: c16753(1926697470......) = 5533212234007 * c16740(3482059587......)

n=50365: c34496(6449990958......) = 8799877055551 * c34483(7329637581......)

n=50487: c33644(2311055474......) = 6727907515453 * c33631(3435028602......)

n=50516: c24769(1009999999......) = 7097400504121 * c24756(1423056229......)

n=50533: c43264(7748260706......) = 6007644609877 * c43252(1289733532......)

n=50687: c39994(2095794104......) = 5112572436973 * c39981(4099294689......)

n=50714: c25350(5601820681......) = 8185441593863 * c25337(6843638937......)

n=50720: c20213(1067921144......) = 5645371848001 * c20200(1891675470......)

n=50814: c16910(5365114589......) = 6209087662441 * c16897(8640745438......)

n=50875: c35989(4622959560......) = 9174292006001 * c35976(5039036862......)

n=50916: c16959(2692333364......) = 8183328225661 * c16946(3290022458......)

n=50945: c38897(1111099999......) = 7806909920071 * c38884(1423226361......)

n=50970: c13584(9100090999......) = 5333719614211 * c13572(1706143490......)

n=51027: c33399(4129463814......) = 6720901391551 * c33386(6144211279......)

n=51040: c17884(3391982957......) = 8417794968001 * c17871(4029538578......)

n=51147: c34072(1937377421......) = 7619734188757 * c34059(2542578748......)

n=51149: c43825(3932527460......) = 7169896084639 * c43812(5484776088......)

January 6, 2011 2011 年 1 月 6 日 (Makoto Kamada)

n=69101: c67447(1628048747......) = 5601169647923 * c67434(2906622812......)

n=34567: c31889(5785864759......) = 9802270241557 * c31876(5902576257......)

n=69174: c19429(3256172456......) = 8479420722613 * c19416(3840088330......)

n=69206: c34584(4645439613......) = 5473396170379 * x34571(8487307458......)

n=69206: x34571(8487307458......) = 8670825830129 * x34558(9788349604......)

n=69206: x34558(9788349604......) = 8832137334263 * c34546(1108265104......)

n=69296: c33601(1000000009......) = 8256948318257 * c33588(1211101210......)

n=69298: c34648(9090909090......) = 5550337449779 * c34636(1637902050......)

n=69352: c34664(1003253290......) = 6813831988793 * c34651(1472377499......)

n=69512: c34745(1514164907......) = 6972502856057 * c34732(2171623215......)

n=69663: c42201(1109999999......) = 6917483931403 * c42188(1604629676......)

n=69699: c39817(1109999889......) = 7592138658889 * c39804(1462038483......)

n=69721: c68980(9041655701......) = 7667533230037 * c68968(1179213109......)

n=69957: c46613(9529662542......) = 6266436331609 * c46601(1520746727......)

n=50014: c23497(1243718101......) = 8869580537371 * c23484(1402228770......)

n=50102: c22068(2006921003......) = 8111709398209 * c22055(2474103675......)

n=50110: c20030(3182578733......) = 6622368629081 * c20017(4805801234......)

n=50115: c24560(5676163987......) = 7401944305471 * c24547(7668477028......)

n=50124: c16705(1009998990......) = 8575476920629 * c16692(1177775882......)

n=50235: c25088(9009099100......) = 6981610466881 * c25076(1290404147......)

n=50248: c22776(2750614252......) = 9313324598161 * c22763(2953418216......)

January 5, 2011 2011 年 1 月 5 日 (Kurt Beschorner)

n=8899: c8046(6333447366......) = 7259106030859474991 * c8027(8724831046......)

n=8983: c8261(1320422313......) = 29560583027687902308238277 * c8235(4466834473......)

n=11721: c7799(3172171192......) = 23513768968407903705174409 * c7774(1349069643......)

n=11763: c7822(4137553138......) = 872092245831557684937641551 * c7795(4744398495......)

January 5, 2011 2011 年 1 月 5 日 (Makoto Kamada)

n=68145: c27841(1109988788......) = 7362844824721 * c27828(1507554234......)

n=34085: c25594(5821053552......) = 9088102910281 * c25581(6405136044......)

n=68312: c34134(1068430328......) = 8248630348633 * c34121(1295282105......)

n=68369: c58570(3414290989......) = 6111659970893 * c58557(5586519874......)

n=68417: c66180(9000000000......) = 8383067824507 * c66168(1073592649......)

n=68422: c34210(9090909090......) = 6628814087573 * c34198(1371423149......)

n=34219: c32388(8540119786......) = 8446604203963 * c32376(1011071382......)

n=68573: c67048(1425208726......) = 7767103934911 * c67035(1834929387......)

n=68612: c32257(1009999999......) = 5105184541409 * c32244(1978380980......)

n=68650: c27441(1000009999......) = 6932467297801 * c27428(1442502296......)

n=68675: c52790(2497227820......) = 9144363174151 * c52777(2730893090......)

n=68744: c31666(2872249129......) = 6725349190457 * c31653(4270780665......)

n=68759: c66346(6147848948......) = 9699881773999 * c66333(6338065856......)

n=68768: c29377(1000000000......) = 8437131891329 * c29364(1185236894......)

n=68803: c58944(1360888533......) = 6710109174413 * x58931(2028116827......)

n=68803: x58931(2028116827......) = 8512602600083 * c58918(2382487381......)

n=68812: c34394(4724980826......) = 7683558517049 * c34381(6149469437......)

n=68848: c31681(1000000009......) = 9930214170241 * c31668(1007027635......)

n=68955: c36763(8048588582......) = 5923983765031 * c36751(1358644605......)

n=68985: c31104(9999999990......) = 5388344811991 * c31092(1855857473......)

January 4, 2011 2011 年 1 月 4 日 (Makoto Kamada)

n=67257: c43046(2253912704......) = 6898802569237 * c43033(3267107126......)

n=67258: c33628(9090909090......) = 6026475528881 * c33616(1508495147......)

n=67364: c30593(5260761630......) = 9552615140069 * c30580(5507142864......)

n=67404: c21760(9901000000......) = 5003289388501 * c21748(1978898127......)

n=67479: c44281(1109999999......) = 9232687179523 * c44268(1202250199......)

n=67482: c21357(1483302383......) = 7037024309641 * c21344(2107854568......)

n=67498: c33744(1346821299......) = 7940568599423 * c33731(1696127025......)

n=67562: c29514(3058102198......) = 5091032018447 * x29501(6006841417......)

n=67562: x29501(6006841417......) = 6286476748927 * c29488(9555179566......)

n=67571: c57624(9999999999......) = 8236892196653 * c57612(1214050124......)

n=67602: c21312(9100000000......) = 6585825440743 * c21300(1381755420......)

n=67623: c45080(9009009009......) = 5089175520889 * c45068(1770229572......)

n=67719: c45127(6434210822......) = 9595551919963 * c45114(6705409835......)

n=67732: c27820(3809624576......) = 5220092032261 * c27807(7298002704......)

n=67749: c41041(1109999999......) = 9095067754477 * c41028(1220441705......)

n=67871: c66792(9000000000......) = 5897138661919 * c66780(1526163876......)

n=67925: c43200(9999900000......) = 8846622642001 * c43188(1130363575......)

n=68033: c58303(6614389161......) = 9605495317279 * c58290(6886046937......)

n=68035: c49434(4082823516......) = 6078428145241 * c49421(6716906770......)

n=68057: c58952(1785062767......) = 6028950758689 * c58939(2960818289......)

January 3, 2011 2011 年 1 月 3 日 (Makoto Kamada)

n=66064: c33015(3820600431......) = 6591225231329 * c33002(5796495032......)

n=66114: c22022(2587065259......) = 7642347138379 * c22009(3385171090......)

n=66157: c52273(1111110999......) = 7653759828079 * c52260(1451719187......)

n=66160: c26433(1000000009......) = 6023342424961 * c26420(1660207803......)

n=66171: c35891(8283038216......) = 5504246444677 * c35879(1504845086......)

n=66177: c40815(2635147568......) = 5752393371721 * c40802(4580958565......)

n=66195: c35273(3566510055......) = 7136824516201 * c35260(4997334664......)

n=66200: c26390(4147718024......) = 5923090489201 * c26377(7002624781......)

n=66232: c31077(1148565261......) = 5249811989593 * c31064(2187821704......)

n=66242: c30101(1099999999......) = 6820888992259 * c30088(1612693010......)

n=66244: c33114(3321386516......) = 5657883611489 * c33101(5870369106......)

n=66269: c56796(9000000900......) = 5322323429557 * c56784(1690990977......)

n=66270: c17279(5938168333......) = 6001445329051 * c17266(9894563739......)

n=66301: c66285(5375328326......) = 5614875750049 * c66272(9573370036......)

n=66342: c22098(1380456766......) = 5817467154127 * c22085(2372951544......)

n=66388: c28435(1521356990......) = 7369238351609 * c28422(2064469783......)

n=66411: c43040(7875529412......) = 5569415731351 * c43028(1414067434......)

n=66415: c51553(1111099999......) = 6164829449921 * c51540(1802320743......)

n=66564: c21662(1749445479......) = 7563704728969 * c21649(2312947877......)

n=66747: c42109(5822501481......) = 8113046855293 * c42096(7176713737......)

n=66762: c22249(1000999998......) = 7629033806677 * c22236(1312092755......)

n=66931: c66925(1660081951......) = 5807922264733 * c66912(2858306079......)

n=66935: c48641(1111099999......) = 6220036616201 * c48628(1786323889......)

n=66962: c28687(2737864142......) = 5495605557583 * c28674(4981915302......)

n=66992: c32449(1000000009......) = 8242910992289 * c32436(1213163663......)

n=67033: c67007(8526613030......) = 9377868570307 * c66994(9092271838......)

n=67108: c31753(1009999999......) = 8031058968661 * c31740(1257617462......)

n=33575: c24937(2359596305......) = 5296599413801 * c24924(4454926871......)

n=33583: c29395(8271319118......) = 7734707601281 * c29383(1069377091......)

n=67175: c53712(3583616175......) = 7283035711351 * c53699(4920497876......)

January 2, 2011 2011 年 1 月 2 日 (Makoto Kamada)

n=65271: c43502(3518416940......) = 8795920612711 * c43489(4000055361......)

n=65299: c60259(1378273207......) = 7787521650169 * c60246(1769848315......)

n=32671: c31752(9000000000......) = 8484868121111 * c31740(1060711830......)

n=65403: c39307(1274149919......) = 7246205305093 * c39294(1758368505......)

n=65450: c19186(5898651668......) = 9348551797201 * c19173(6309695657......)

n=65462: c32201(1099999999......) = 7087276095539 * c32188(1552077251......)

n=65519: c65507(5299548789......) = 7217004335081 * c65494(7343142034......)

n=65534: c26995(1541336403......) = 5727356315927 * c26982(2691183014......)

n=65560: c23672(1135980782......) = 8923601191121 * c23659(1273007117......)

n=65582: c29701(1000000000......) = 7819774635619 * c29688(1278809232......)

n=65683: c62198(1257569513......) = 7191519483437 * c62185(1748684010......)

n=65720: c24954(4003826479......) = 9444303509521 * c24941(4239408946......)

n=65722: c30913(1099999999......) = 5264570836583 * c30900(2089439071......)

n=65754: c20137(5904489200......) = 5744577102967 * c20125(1027837053......)

n=32878: c15429(8894976905......) = 5171714726237 * c15417(1719927988......)

n=65898: c18783(1150221745......) = 6348895297543 * c18770(1811688004......)

n=32974: c16472(1653546638......) = 6005685131093 * c16459(2753302250......)

January 1, 2010 2010 年 1 月 1 日 (Alfred Reich)

n=72300L: c9571(6603688535......) = 74947808045149231201 * c9551(8811049592......)

n=73180M: c14600(8886666628......) = 14074864070290137581 * c14581(6313856094......)

n=74660L: c14900(3842615239......) = 27335775958499401 * c14884(1405709223......)

n=85540L: c13233(1284311422......) = 11460585387161 * c13220(1120633352......)

n=85820L: c14680(2112689039......) = 1943672619369728559761 * c14659(1086957247......)

n=99580L: c18325(2357879591......) = 1171792107852341 * c18310(2012199583......)

n=21090: c5170(4631329106......) = 331429772696710693921 * c5150(1397378717......)

n=22250: c8787(1081245516......) = 2060132682052434251 * c8768(5248426599......)

January 1, 2011 2011 年 1 月 1 日 (Makoto Kamada)

n=64809: c40825(1001000999......) = 5339323424917 * c40812(1874771240......)

n=64813: c54090(1382526879......) = 5459673550787 * c54077(2532251913......)

n=64824: c20712(1435132799......) = 7882683967681 * c20699(1820614406......)

n=64841: c54289(1111110999......) = 6543932681161 * c54276(1697925474......)

n=64859: c63955(6938073836......) = 7768261923707 * c63942(8931307806......)

n=64922: c27120(9090909091......) = 7576768623997 * c27108(1199839871......)

n=64936: c32436(1224562292......) = 6473982055169 * c32423(1891513264......)

n=65008: c30455(8820368272......) = 8293336182689 * c30443(1063548863......)

n=65022: c21667(4225096405......) = 5065173486361 * c21654(8341464347......)

n=65074: c32536(9090909090......) = 7445490059983 * c32524(1220995396......)

n=65083: c63268(1001609635......) = 9013860908357 * c63255(1111188253......)

n=65098: c29476(1536121906......) = 7127957653499 * c29463(2155065982......)

n=65126: c32557(6979423960......) = 9583713893371 * c32544(7282587979......)

n=65131: c57001(1111111111......) = 5765954292671 * c56988(1927020324......)

n=65152: c32495(1298416351......) = 5671652558849 * c32482(2289308695......)

n=65215: c52127(5532663366......) = 9252821587001 * c52114(5979433748......)

n=65246: c28792(2793360431......) = 7041686685757 * c28779(3966891109......)

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