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July 30, 2012 2012 年 7 月 30 日 (Kurt Beschorner)

n=3079: c3020(2299545257......) = 175349345899999373138524014299315410453 * c2982(1311407947......)

# ECM B1=1e6, sigma=231271083

n=3097: c2910(5631853261......) = 955968147001712125385962483 * c2883(5891256187......)

# ECM B1=1e6, sigma=3995923463

July 30, 2012 2012 年 7 月 30 日 (Serge Batalov)

n=84646: c42322(9090909090......) = 139834067109957720107087 * c42299(6501211956......)

n=85454: c42726(9090909090......) = 20446511136709852172053 * c42704(4446190858......)

n=85604: c42800(9900990099......) = 256484735651189 * c42786(3860264851......)

n=85438: c42718(9090909090......) = 111735203902610091103 * c42698(8136118943......)

n=86638: c43318(9090909090......) = 6714336294781573 * c43303(1353954984......)

n=86348: c43172(9900990099......) = 55809272733474581 * c43156(1774076173......)

n=86824: c43408(9999000099......) = 288466309566861546881 * c43388(3466262703......)

n=86794: c43396(9090909090......) = 320865575389198241 * c43379(2833245380......)

n=87664: c43824(9999999900......) = 28143528168958369 * c43808(3553214735......)

n=87082: c43540(9090909090......) = 338220766729004075668691 * c43517(2687862480......)

n=87154: c43576(9090909090......) = 30995056088080879493 * c43557(2933019080......)

n=87328: c43648(9999999999......) = 425852654105172257 * c43631(2348230051......)

n=87488: c43712(9999999999......) = 1252712643492733592513 * c43691(7982676675......)

n=88024: c44008(9999000099......) = 845326012055489 * c43994(1182857259......)

n=88696: c44344(9999000099......) = 4484342915260914942217 * c44323(2229758136......)

n=89234: c44616(9090909090......) = 48523534933767405288891437 * c44591(1873505115......)

# 74789 of 100000 Phi_n(10) factorizations were cracked.

July 29, 2012 2012 年 7 月 29 日 (Yousuke Koide)

n=810: c173(4983403796......) = 1377206548249672561974389193550868011092077967769298773550347641588817070607865681921 * p89(3618486858......)

# SNFS

# 1051 of 100000 Phi_n(10) factorizations were finished.

# c173 was the fourth smallest composite.

July 28, 2012 2012 年 7 月 28 日 (Kurt Beschorner)

n=93241: c93233(4225727065......) = 101243409011483 * c93219(4173829296......)

# mfactc

n=93253: c93246(9929172235......) = 65060399797637 * c93233(1526146821......)

# mfactc

n=93281: c93272(2538670245......) = 608145068130791 * c93257(4174448464......)

# mfactc

n=93337: c93302(3846989618......) = 3499848374081929 * c93287(1099187509......)

# mfactc

July 28, 2012 2012 年 7 月 28 日 (Serge Batalov)

n=82424: c41208(9999000099......) = 2871838813158580315657 * c41187(3481741403......)

n=83234: c41616(9090909090......) = 81517713263643401 * c41600(1115206588......)

n=82876: c41436(9900990099......) = 81959631109161922822709 * c41414(1208032535......)

n=83656: c41824(9999000099......) = 2997425701339417 * c41809(3335862535......)

n=84278: c42138(9090909090......) = 47948391595733 * c42125(1895977902......)

n=83894: c41946(9090909090......) = 988907119250366087 * c41928(9192884664......)

n=84034: c42016(9090909090......) = 41695702936255328750453 * c41994(2180298795......)

n=84176: c42080(9999999900......) = 54700722830993 * c42067(1828129388......)

# 74773 of 100000 Phi_n(10) factorizations were cracked.

July 27, 2012 2012 年 7 月 27 日 (Serge Batalov)

n=79276: c39636(9900990099......) = 4551074569029611977601104381 * c39609(2175527987......)

n=78602: c39300(9090909090......) = 16387103265811237997 * c39281(5547599806......)

n=79006: c39502(9090909090......) = 48861444382866539 * c39486(1860548578......)

n=79558: c39778(9090909090......) = 347927465944781802367 * c39758(2612874803......)

n=79264: c39616(9999999999......) = 88688870409500791361 * c39597(1127537193......)

n=79372: c39684(9900990099......) = 54560800870564535118349 * c39662(1814670961......)

n=81194: c40596(9090909090......) = 362340189666647 * c40582(2508943073......)

n=80252: c40124(9900990099......) = 124356944548545509 * c40107(7961750857......)

n=80792: c40392(9999000099......) = 73581638531516175809017 * c40370(1358898809......)

n=81824: c40896(9999999999......) = 1339291318778819009 * c40878(7466635421......)

n=81724: c40860(9900990099......) = 5107806251263070957761 * c40839(1938403614......)

n=82444: c41220(9900990099......) = 43703602910483809838309 * c41198(2265486010......)

# 74765 of 100000 Phi_n(10) factorizations were cracked.

July 25, 2012 2012 年 7 月 25 日 (Serge Batalov)

n=75476: c37736(9900990099......) = 8805992016110597941 * c37718(1124346931......)

n=75356: c37676(9900990099......) = 651377042391981033178734781 * c37650(1520009066......)

n=75494: c37746(9090909090......) = 1056577978957053624727 * c37725(8604106153......)

n=75436: c37716(9900990099......) = 2095261657312745249 * c37698(4725419407......)

n=75794: c37896(9090909090......) = 18691399423933745161813 * c37874(4863685636......)

n=76634: c38316(9090909090......) = 7995385532461456740191699 * c38292(1137019478......)

n=76574: c38286(9090909090......) = 495546467873617248559447 * c38263(1834522023......)

n=77534: c38766(9090909090......) = 989207015542783 * c38751(9190097672......)

n=77218: c38608(9090909090......) = 445677958305678576132167 * c38585(2039793290......)

n=77138: c38568(9090909090......) = 28145562715800416489 * x38549(3229961746......)

n=77138: x38549(3229961746......) = 4061104204685570240291 * c38527(7953407703......)

# 74753 of 100000 Phi_n(10) factorizations were cracked.

July 25, 2012 2012 年 7 月 25 日 (Kurt Beschorner)

n=3079: c3050(1650487348......) = 717745103410336803926588986631 * c3020(2299545257......)

# ECM B1=1e6, sigma=2277132384

n=93139: c93139(1111111111......) = 102121548210581147 * c93122(1088028071......)

# mfactc

# 74743 of 100000 Phi_n(10) factorizations were cracked.

# 7380 of 9592 R_prime factorizations were cracked.

July 24, 2012 2012 年 7 月 24 日 (Serge Batalov)

n=67202: c33600(9090909090......) = 29154887827983658813 * c33581(3118142365......)

n=66904: c33448(9999000099......) = 45787300530462457047569 * c33426(2183793319......)

n=67136: c33536(9999999999......) = 4138111829934478352132178568961 * c33506(2416561081......)

n=68396: c34196(9900990099......) = 49212503406742537671889 * c34174(2011885072......)

n=68122: c34060(9090909090......) = 421200450095410094209 * c34040(2158333185......)

n=68044: c34020(9900990099......) = 19052965568266529 * c34004(5196561167......)

n=68956: c34476(9900990099......) = 85466549732985039268073201 * c34451(1158463765......)

n=68336: c34160(9999999900......) = 433750155468028868414401 * c34137(2305474654......)

n=68624: c34304(9999999900......) = 2686479139721706577 * c34286(3722344146......)

n=68528: c34256(9999999900......) = 12620397169186048524481 * c34234(7923680820......)

n=68914: c34456(9090909090......) = 1136148134199277 * c34441(8001517423......)

n=70736: c35360(9999999900......) = 2172085812658673 * c35345(4603869626......)

n=70568: c35280(9999000099......) = 7054397250887651134081 * c35259(1417413812......)

n=71054: c35526(9090909090......) = 5306287192320165982270651 * c35502(1713233521......)

n=71602: c35800(9090909090......) = 12875366823264241 * c35784(7060699097......)

n=71606: c35802(9090909090......) = 7940162873821377640810573 * c35778(1144927281......)

n=71636: c35816(9900990099......) = 2344656476912431732292478529 * c35789(4222789221......)

n=71756: c35876(9900990099......) = 79825529646449 * c35863(1240328769......)

n=72544: c36256(9999999999......) = 87282676810503457 * c36240(1145702717......)

n=73804: c36900(9900990099......) = 936319834102667966221 * c36880(1057436758......)

n=73664: c36800(9999999999......) = 192947783932993 * c36786(5182749340......)

n=74056: c37024(9999000099......) = 4125261442398401 * c37009(2423846400......)

n=74684: c37340(9900990099......) = 662667041784508729 * c37323(1494112348......)

n=73694: c36846(9090909090......) = 218867960542586749779739 * x36823(4153604332......)

n=73694: x36823(4153604332......) = 5946373567254419359093339 * c36798(6985104930......)

n=74608: c37296(9999999900......) = 19009775474474689 * c37280(5260451346......)

# 74742 of 100000 Phi_n(10) factorizations were cracked.

July 22, 2012 2012 年 7 月 22 日 (Serge Batalov)

n=61036: c30516(9900990099......) = 38496300819957478261 * c30497(2571932857......)

n=61216: c30592(9999999999......) = 808014752205200583983041 * c30569(1237601166......)

n=61888: c30912(9999999999......) = 707410807606804848577 * c30892(1413605770......)

n=62246: c31122(9090909090......) = 27886540850672727299 * c31103(3259962983......)

n=62182: c31090(9090909090......) = 193968645872867807 * x31073(4686793089......)

n=62182: x31073(4686793089......) = 725739720916191314313887 * c31049(6457953112......)

n=62672: c31328(9999999900......) = 25276785773364102945281 * c31306(3956199174......)

n=62732: c31364(9900990099......) = 6347756449424139601 * c31346(1559762126......)

n=63212: c31604(9900990099......) = 36055086479689 * x31591(2746073041......)

n=63212: x31591(2746073041......) = 2403214060257989549 * c31573(1142666850......)

n=63092: c31544(9900990099......) = 2612097314858309 * c31529(3790436919......)

n=64508: c32252(9900990099......) = 702048039196458169 * c32235(1410300940......)

n=63592: c31792(9999000099......) = 161981972090843909353 * c31772(6172909226......)

n=64132: c32064(9900990099......) = 196834461500909 * c32050(5030110085......)

n=64648: c32320(9999000099......) = 2184405038560434008929 * c32299(4577447828......)

n=65206: c32602(9090909090......) = 9842025645083129611 * c32583(9236827273......)

n=64868: c32432(9900990099......) = 12181909208574642349 * x32413(8127617707......)

n=64868: x32413(8127617707......) = 30250817170051856447363705401 * c32385(2686743191......)

n=65216: c32576(9999999999......) = 34965158812949126351489 * c32554(2859989869......)

n=64886: c32442(9090909090......) = 15994323471706358729 * c32423(5683834709......)

n=65006: c32502(9090909090......) = 5011480309496006852729 * c32481(1814016723......)

n=65396: c32696(9900990099......) = 53928813231089 * c32683(1835936952......)

n=65908: c32952(9900990099......) = 185789682633490726849 * c32932(5329138819......)

n=65668: c32832(9900990099......) = 13998891245579329 * c32816(7072695919......)

n=66016: c32992(9999999999......) = 1916670097611624353 * c32974(5217381964......)

n=66292: c33144(9900990099......) = 2518717733585995936422051872221 * c33114(3930964540......)

n=66112: c33024(9999999999......) = 272075659369504702721 * c33004(3675448227......)

n=66692: c33344(9900990099......) = 657722165417189 * c33330(1505345360......)

n=66058: c33028(9090909090......) = 345156966289707518533 * c33008(2633847779......)

# 74717 of 100000 Phi_n(10) factorizations were cracked.

July 21, 2012 2012 年 7 月 21 日 (Kurt Beschorner)

n=3073: c2587(1854662937......) = 63288788682745054966176067 * x2561(2930476276......)

# ECM B1=1e6, sigma=971278464

n=3073: x2561(2930476276......) = 246773237354180405909400332561 * c2532(1187517863......)

# ECM B1=1e6, sigma=3918646454

n=93083: c93083(1111111111......) = 84073332969922357 * c93066(1321597552......)

# mfactc

# 74691 of 100000 Phi_n(10) factorizations were cracked.

# 7379 of 9592 R_prime factorizations were cracked.

July 21, 2012 2012 年 7 月 21 日 (Serge Batalov)

n=54788: c27392(9900990099......) = 3240485007550720985789 * c27371(3055403767......)

n=54224: c27104(9999999900......) = 13819870986423217 * c27088(7235957491......)

n=54898: c27448(9090909090......) = 132344311155336777375828041 * c27422(6869134767......)

n=55724: c27860(9900990099......) = 781044251368014806916421 * c27837(1267660581......)

n=55382: c27690(9090909090......) = 26250999547849 * c27677(3463071596......)

n=55646: c27822(9090909090......) = 3445720679905223 * c27807(2638318637......)

n=55402: c27700(9090909090......) = 113951813570232851209 * c27680(7977853801......)

n=55604: c27800(9900990099......) = 28088291914266277781 * c27781(3524952720......)

n=55652: c27824(9900990099......) = 99474194505649001 * c27807(9953325229......)

n=57094: c28546(9090909090......) = 5568927459646807366499 * c28525(1632434460......)

n=59344: c29664(9999999900......) = 297338276225789970023201 * c29641(3363172756......)

n=59074: c29536(9090909090......) = 329809496706770610426493 * c29513(2756412165......)

n=58858: c29428(9090909090......) = 174508371839047 * c29414(5209440094......)

n=59116: c29556(9900990099......) = 41014286791861 * c29543(2414034443......)

n=59308: c29652(9900990099......) = 679249434384561999601 * x29632(1457636855......)

n=59308: x29632(1457636855......) = 30718161208681481 * c29615(4745195671......)

n=60224: c30080(9999999999......) = 15990883504600121048257 * c30058(6253563161......)

n=59552: c29760(9999999999......) = 4480408235979658641601 * c29739(2231939473......)

n=60238: c30118(9090909090......) = 409975948076322781859 * c30098(2217424981......)

n=60472: c30232(9999000099......) = 2212382346731238550769 * c30211(4519562414......)

n=60404: c30200(9900990099......) = 9369779209351229 * c30185(1056694066......)

# 74690 of 100000 Phi_n(10) factorizations were cracked.

July 19, 2012 2012 年 7 月 19 日 (Serge Batalov)

n=51542: c25770(9090909090......) = 54112106238167682499 * c25751(1680013905......)

n=51692: c25844(9900990099......) = 657959796648660629750909 * c25821(1504801683......)

n=51866: c25932(9090909090......) = 64579490758332920871601 * c25910(1407708389......)

n=52172: c26084(9900990099......) = 399452013459098149022329 * c26061(2478643182......)

n=52928: c26432(9999999999......) = 20341558603240227329 * c26413(4916044141......)

n=52252: c26124(9900990099......) = 207300448740689 * c26110(4776154687......)

n=52372: c26184(9900990099......) = 1047003118638976007101 * c26163(9456504878......)

n=52484: c26240(9900990099......) = 231802162875807119809481 * c26217(4271310490......)

n=52784: c26384(9999999900......) = 384394811274643619809 * c26364(2601491905......)

n=52978: c26488(9090909090......) = 24034817729077499957 * c26469(3782391526......)

n=53596: c26796(9900990099......) = 30198543597826647497021 * c26774(3278631655......)

n=53684: c26840(9900990099......) = 703246250481155707849 * c26820(1407898028......)

n=53876: c26936(9900990099......) = 12270969342291389 * c26920(8068629154......)

# 74670 of 100000 Phi_n(10) factorizations were cracked.

July 18, 2012 2012 年 7 月 18 日 (Serge Batalov)

n=46586: c23292(9090909090......) = 850853080925774651 * c23275(1068446397......)

# P-1 B1=11e6

n=45404: c22700(9900990099......) = 100112612556164242421 * c22680(9889852882......)

# P-1 B1=11e6

n=46862: c23430(9090909090......) = 173736827848352915933 * c23410(5232574580......)

# P-1 B1=11e6

n=46568: c23280(9999000099......) = 1248020202782057 * c23265(8011889613......)

# P-1 B1=11e6

n=48478: c24238(9090909090......) = 6353185667566420770327018131 * c24211(1430921362......)

# P-1 B1=11e6

n=47942: c23970(9090909090......) = 397447202021321960101701715744211 * c23938(2287324969......)

# P-1 B1=11e6

n=48296: c24144(9999000099......) = 3070973028166793 * c24129(3255971318......)

# P-1 B1=11e6

n=49778: c24888(9090909090......) = 35546318143108982887 * c24869(2557482621......)

# P-1 B1=11e6

n=49052: c24524(9900990099......) = 161157548467758509 * c24507(6143671328......)

# P-1 B1=11e6

n=50044: c25020(9900990099......) = 66879784218544049 * c25004(1480415975......)

# P-1 B1=11e6

n=50404: c25200(9900990099......) = 23162047260041772540313081 * c25175(4274661038......)

# P-1 B1=11e6

# 74657 of 100000 Phi_n(10) factorizations were cracked.

July 17, 2012 2012 年 7 月 17 日 (Kurt Beschorner)

n=3071: c2928(4268268405......) = 872388540896780004854551 * c2904(4892623189......)

# ECM B1=1e6, sigma=3221098739

n=14940L: c1890(1818593499......) = 2812507647273733067183881 * c1865(6466092640......)

# ECM B1=3e6, sigma=3698392821

n=92863: c92840(1253409170......) = 1110501912668507 * c92825(1128687088......)

# mfactc

July 17, 2012 2012 年 7 月 17 日 (Serge Batalov)

n=38162: c19080(9090909090......) = 2710689384711956566771 * c19059(3353725861......)

n=38296: c19144(9999000099......) = 16244647076689249 * c19128(6155258438......)

n=39262: c19273(1099999999......) = 728717975186148358870531 * c19249(1509500297......)

n=39752: c19872(9999000099......) = 4612744837056677744321 * c19851(2167689836......)

n=40046: c20022(9090909090......) = 509257775812049299888785598651957 * c19990(1785129166......)

n=40666: c20332(9090909090......) = 300561569297051 * c20318(3024641211......)

n=40772: c20384(9900990099......) = 170277483465754981 * c20367(5814620874......)

n=40958: c20478(9090909090......) = 96511542317390008019 * c20458(9419504520......)

n=41852: c20924(9900990099......) = 19755719947313741 * c20908(5011708065......)

n=43376: c21680(9999999900......) = 195725703552497 * c21666(5109190933......)

n=42554: c21276(9090909090......) = 3994132904296057004167157 * c21252(2276065746......)

n=43702: c21850(9090909090......) = 9062333254828823 * c21835(1003153253......)

n=43012: c21504(9900990099......) = 617092158431749091611289669989 * c21475(1604458906......)

n=43948: c21972(9900990099......) = 552761461122896629 * c21955(1791186758......)

n=42956: c21476(9900990099......) = 1143212010463669 * c21461(8660677117......)

n=45398: c22698(9090909090......) = 1819471332790410396659 * c22677(4996456348......)

n=45004: c22500(9900990099......) = 3797666514046582189 * c22482(2607124681......)

n=45478: c22738(9090909090......) = 42143596565178181807 * c22719(2157127020......)

# 74646 of 100000 Phi_n(10) factorizations were cracked.

July 16, 2012 2012 年 7 月 16 日 (Serge Batalov)

n=19714: c9856(9090909090......) = 1065908254200040441 * c9838(8528791343......)

n=30454: c15226(9090909090......) = 3592163923769557693001 * c15205(2530761202......)

n=29228: c14612(9900990099......) = 1328393049617755421 * c14594(7453358854......)

n=30994: c15496(9090909090......) = 251716540806608041 * x15479(3611566034......)

n=30994: x15479(3611566034......) = 253966235365314578773775914331 * c15450(1422065429......)

n=32668: c16332(9900990099......) = 384420669040374541 * c16315(2575561330......)

n=33052: c16524(9900990099......) = 381891762453789361 * c16507(2592616828......)

n=33548: c16772(9900990099......) = 98973654420958586182814969 * c16747(1000366224......)

n=33716: c16856(9900990099......) = 4461170664658306241 * c16838(2219370394......)

n=35312: c17648(9999999900......) = 2088334291481125729 * c17630(4788505336......)

n=34256: c17120(9999999900......) = 13515644067328325235073601 * c17095(7398833418......)

n=34834: c17416(9090909090......) = 161697827960145380401 * c17396(5622159063......)

n=35824: c17904(9999999900......) = 84134028536161 * c17891(1188579707......)

n=36104: c18048(9999000099......) = 13826626002641767032433675177 * c18020(7231699257......)

n=37456: c18720(9999999900......) = 4374571491616433 * c18705(2285938158......)

n=36436: c18216(9900990099......) = 7273767977909 * c18204(1361191356......)

n=38672: c19328(9999999900......) = 10775553859649 * c19315(9280265339......)

n=37594: c18796(9090909090......) = 66482931217223 * c18783(1367404975......)

# 74628 of 100000 Phi_n(10) factorizations were cracked.

July 15, 2012 2012 年 7 月 15 日 (Kurt Beschorner)

n=3053: c2916(6047244866......) = 1022072673895507205156013026563 * c2886(5916648611......)

# ECM B1=1e6, sigma=488264305

n=92699: c92699(1111111111......) = 111307586971655267 * c92681(9982348385......)

# mfactc

n=92753: c92725(2317492128......) = 51821753275467443 * c92708(4472045004......)

# mfactc

# 74611 of 100000 Phi_n(10) factorizations were cracked.

# 7378 of 9592 R_prime factorizations were cracked.

July 14, 2012 2012 年 7 月 14 日 (Serge Batalov)

n=92704: c46336(9999999999......) = 431978991947329 * c46322(2314927389......)

n=92348: c46172(9900990099......) = 279511887727789 * c46158(3542242936......)

n=12592: c6288(9999999900......) = 12761727511763837137393 * c6266(7835929650......)

# 74610 of 100000 Phi_n(10) factorizations were cracked.

July 13, 2012 2012 年 7 月 13 日 (Serge Batalov)

n=93172: c46584(9900990099......) = 317880456558395198981 * c46564(3114689781......)

n=92954: c46476(9090909090......) = 722626696550806668509721658158625321 * c46441(1258036706......)

# 722626696550806668509721658158625321 is the largest known factor that appears after n=82700L.

Largest known factors that appear after the previous one
  1  n=786: 22470645744200057762885095342697894721605325430609487291715500041029950763944163993319007373686738769124162721892380653 (Serge Batalov and Bruce Dodson / Aug 12, 2009)
  2  n=1180M: 75037358034332057078790154693096980495187922731710294362515981973078279750268757439593899891657607361 (NFS@Home / Jan 2, 2012)
  3  n=1220M: 27186363592392725942593454290345801336551729326489701011779461 (Shaopu Lin / Sep 7, 2007)
  4  n=1980L: 53125155761987678805593513985958923168195287588798092019101 (Yousuke Koide / Jan 8, 2012)
  5  n=5100L: 185898550709887865845976723509058449254706894935901 (Frank Boerner / Jun 28, 2010)
  6  n=13980M: 21166873440679239162423181074773929272724025103001 (Kurt Beschorner / Jul 14, 2011)
  7  n=82700L: 7732652742988151960568776872507813340801 (Alfred Reich / Dec 12, 2010)
  8  n=92954: 722626696550806668509721658158625321 (Serge Batalov / Jul 13, 2012)
  9  n=99888: 507158594659660735799020236772273 (Serge Batalov / May 25, 2012)
  10  n=99964: 631238272453319833476562669 (Serge Batalov / May 16, 2012)
  11  n=100000: 10667937242260969298800001 (Serge Batalov / May 15, 2011)

n=92878: c46438(9090909090......) = 2907509118435624527805755849 * c46411(3126700113......)

# 74607 of 100000 Phi_n(10) factorizations were cracked.

July 12, 2012 2012 年 7 月 12 日 (Kurt Beschorner)

n=92557: c92533(6750324126......) = 12675569698228907 * c92517(5325460146......)

# mfactc

July 10, 2012 2012 年 7 月 10 日 (Serge Batalov)

n=93596: c46796(9900990099......) = 2136545399595821741 * c46778(4634111730......)

# 74604 of 100000 Phi_n(10) factorizations were cracked.

July 9, 2012 2012 年 7 月 9 日 (Serge Batalov)

n=94814: c47406(9090909090......) = 5894428043740445740477 * c47385(1542288585......)

n=94838: c47418(9090909090......) = 11743922795361228739 * c47399(7740947594......)

n=94268: c47132(9900990099......) = 11112988400964661 * c47116(8909385794......)

n=94258: c47128(9090909090......) = 746642310313936441 * c47111(1217572184......)

n=93754: c46876(9090909090......) = 1346539507821333578410237 * c46852(6751312559......)

# 74603 of 100000 Phi_n(10) factorizations were cracked.

July 8, 2012 2012 年 7 月 8 日 (Serge Batalov)

n=95252: c47624(9900990099......) = 2552291495418645524629 * c47603(3879255217......)

n=95204: c47600(9900990099......) = 110958468832661 * c47586(8923149537......)

n=94972: c47484(9900990099......) = 5609074441589089 * c47469(1765173595......)

n=95012: c47504(9900990099......) = 94880471761095799117901 * c47482(1043522435......)

n=94988: c47492(9900990099......) = 16523998589389 * c47479(5991885103......)

# 74598 of 100000 Phi_n(10) factorizations were cracked.

July 8, 2012 2012 年 7 月 8 日 (Kurt Beschorner)

n=3575: c2393(3489559221......) = 170660542790932136118246381913928125801 * p2355(2044736975......)

# ECM B1=1e6, sigma=749953700

Primality testing 2044736975...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 17
Running N-1 test using base 19
Running N-1 test using base 29
Running N+1 test using discriminant 43, base 1+sqrt(43)
Calling N-1 BLS with factored part 0.58% and helper 0.28% (2.05% proof)
2044736975...... is Fermat and Lucas PRP! (2.9594s+0.0171s)

# 1050 of 100000 Phi_n(10) factorizations were finished.

July 7, 2012 2012 年 7 月 7 日 (Serge Batalov)

n=96548: c48272(9900990099......) = 159464182617797791841 * c48252(6208911579......)

# P-1

n=96494: c48246(9090909090......) = 152205461347078031580823 * c48223(5972787711......)

# P-1

n=95968: c47968(9999999999......) = 1227602587773771161377 * c47947(8145958716......)

# P-1

n=95908: c47952(9900990099......) = 102089886603026098544042441 * c47926(9698306490......)

# P-1

n=95896: c47944(9999000099......) = 3272836551498233 * c47929(3055148016......)

# P-1

n=95768: c47880(9999000099......) = 102864195257628052217 * c47860(9720583605......)

# P-1

# 74593 of 100000 Phi_n(10) factorizations were cracked.

July 6, 2012 2012 年 7 月 6 日 (Kurt Beschorner)

n=3037: c3018(1013619585......) = 2200420596125519983300260688286803 * c2984(4606481085......)

# ECM B1=1e6, sigma=2940966448

July 6, 2012 2012 年 7 月 6 日 (Serge Batalov)

n=97652: c48824(9900990099......) = 62023354907728813007068164709 * c48796(1596332561......)

# P-1

n=97348: c48672(9900990099......) = 92395764823940513343504632089 * c48644(1071584841......)

# P-1

n=97046: c48522(9090909090......) = 63194274822034249713666514081303 * c48491(1438565299......)

# P-1

n=97004: c48500(9900990099......) = 63954856876810529366904163169 * c48472(1548121688......)

# P-1

n=96956: c48476(9900990099......) = 53971233958969 * c48463(1834493928......)

# P-1

# 74587 of 100000 Phi_n(10) factorizations were cracked.

July 5, 2012 2012 年 7 月 5 日 (Serge Batalov)

n=90466: c45232(9090909090......) = 1095860690719441 * c45217(8295679521......)

# 74582 of 100000 Phi_n(10) factorizations were cracked.

July 4, 2012 2012 年 7 月 4 日 (Serge Batalov)

n=91736: c45864(9999000099......) = 779449419115487126144137 * c45841(1282828603......)

# P-1 B1=5e6

n=91114: c45556(9090909090......) = 23026597181345395533251009 * c45531(3948003701......)

# P-1 B1=5e6

n=91444: c45720(9900990099......) = 11722768524517829 * c45704(8445948649......)

# P-1 B1=5e6

n=90548: c45272(9900990099......) = 155543420091956814871721 * c45249(6365418796......)

# P-1 B1=5e6

n=90868: c45432(9900990099......) = 1456112612921256749 * c45414(6799604653......)

# P-1 B1=5e6

n=90296: c45144(9999000099......) = 764090412094486642073 * c45124(1308614784......)

# P-1 B1=5e6

# 74581 of 100000 Phi_n(10) factorizations were cracked.

July 4, 2012 2012 年 7 月 4 日 (Kurt Beschorner)

n=88463: c88446(9634536622......) = 88132423884036347 * c88430(1093188658......)

# mfactc

July 3, 2012 2012 年 7 月 3 日 (Bruce Dodson)

# via ECMNET

n=584: c258(1026013597......) = 972234562027718778906635682891369717286635199884272325005809 * c198(1055314877......)

# ECM B1=400e6, sigma=2548895419

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