-- Jul 30, 2012 (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 -- Jul 30, 2012 (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. -- Jul 29, 2012 (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. -- Jul 28, 2012 (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 -- Jul 28, 2012 (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. -- Jul 27, 2012 (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. -- Jul 25, 2012 (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. -- Jul 25, 2012 (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. -- Jul 24, 2012 (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. -- Jul 22, 2012 (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. -- Jul 21, 2012 (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. -- Jul 21, 2012 (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. -- Jul 19, 2012 (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. -- Jul 18, 2012 (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. -- Jul 17, 2012 (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 -- Jul 17, 2012 (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. -- Jul 16, 2012 (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. -- Jul 15, 2012 (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. -- Jul 14, 2012 (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. -- Jul 13, 2012 (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. # ----------------8<----------------8<----------------8<---------------- # 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) # ----------------8<----------------8<----------------8<---------------- n=92878: c46438(9090909090......) = 2907509118435624527805755849 * c46411(3126700113......) # 74607 of 100000 Phi_n(10) factorizations were cracked. -- Jul 12, 2012 (Kurt Beschorner) -- n=92557: c92533(6750324126......) = 12675569698228907 * c92517(5325460146......) # mfactc -- Jul 10, 2012 (Serge Batalov) -- n=93596: c46796(9900990099......) = 2136545399595821741 * c46778(4634111730......) # 74604 of 100000 Phi_n(10) factorizations were cracked. -- Jul 9, 2012 (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. -- Jul 8, 2012 (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. -- Jul 8, 2012 (Kurt Beschorner) -- n=3575: c2393(3489559221......) = 170660542790932136118246381913928125801 * p2355(2044736975......) # ECM B1=1e6, sigma=749953700 # ----------------8<----------------8<----------------8<---------------- # 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) # ----------------8<----------------8<----------------8<---------------- # 1050 of 100000 Phi_n(10) factorizations were finished. -- Jul 7, 2012 (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. -- Jul 6, 2012 (Kurt Beschorner) -- n=3037: c3018(1013619585......) = 2200420596125519983300260688286803 * c2984(4606481085......) # ECM B1=1e6, sigma=2940966448 -- Jul 6, 2012 (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. -- Jul 5, 2012 (Serge Batalov) -- n=90466: c45232(9090909090......) = 1095860690719441 * c45217(8295679521......) # 74582 of 100000 Phi_n(10) factorizations were cracked. -- Jul 4, 2012 (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. -- Jul 4, 2012 (Kurt Beschorner) -- n=88463: c88446(9634536622......) = 88132423884036347 * c88430(1093188658......) # mfactc -- Jul 3, 2012 (Bruce Dodson) -- # via ECMNET n=584: c258(1026013597......) = 972234562027718778906635682891369717286635199884272325005809 * c198(1055314877......) # ECM B1=400e6, sigma=2548895419