-- Jun 30, 2013 (Makoto Kamada) -- n=90146: c37536(9090910000......) = 13640042462929 * c37523(6664869280......) n=90154: c45071(3361239463......) = 11930369566651 * c45058(2817380840......) n=90013: c69700(3980699232......) = 13118797603759 * c69687(3034347623......) n=89914: c39587(9902383292......) = 15886702713157 * c39574(6233126830......) n=89848: c40801(1000099999......) = 10553424425809 * c40787(9476544860......) n=89852: c38485(1396662303......) = 11670442654249 * c38472(1196751781......) n=89868: c29953(1009998990......) = 16243372384549 * c29939(6217914396......) n=89766: c29901(1153211985......) = 11495696615317 * c29888(1003168424......) n=44721: c29796(1310342187......) = 12567649618009 * c29783(1042631062......) n=89042: c44299(1411115726......) = 10568884532917 * c44286(1335160509......) n=88988: c44486(5563100943......) = 19642731029741 * c44473(2832142300......) n=88748: c40308(1729718719......) = 17660436304369 * c40294(9794314758......) n=88634: c34985(3089362784......) = 14503833766241 * c34972(2130031848......) n=88533: c58968(9999999999......) = 16634214290413 * c58955(6011705648......) n=88585: c60713(6816713870......) = 15224147763511 * c60700(4477566807......) n=88444: c44215(1119463039......) = 13869709983949 * c44201(8071279360......) n=44184: c12567(8038634605......) = 16969199761249 * c12554(4737191333......) n=88386: c29451(1122403600......) = 15007927332451 * c29437(7478738243......) n=88208: c42625(1000000009......) = 17540530920769 * c42611(5701081766......) n=88228: c35904(9900990099......) = 16285742365369 * c35891(6079544841......) n=88091: c87312(9000000000......) = 17545180665373 * c87299(5129613750......) n=87764: c42625(1009999999......) = 12839642819501 * c42611(7866262435......) # 74991 of 100000 Phi_n(10) factorizations were cracked. -- Jun 29, 2013 (Makoto Kamada) -- n=46172: c18427(4288723560......) = 14878745728729 * c18414(2882449662......) n=46080: c12271(1431307980......) = 16598085949441 * c12257(8623331537......) n=91910: c28788(6212596304......) = 17578166812571 * c28775(3534268601......) n=45994: c20155(6588426901......) = 13325095597321 * c20142(4944374959......) n=45903: c25430(1602959545......) = 14121035873803 * c25417(1135157193......) n=91851: c57587(1979102614......) = 19870400362279 * c57573(9960054041......) n=45947: c41754(2277648950......) = 12234204584933 * c41741(1861705789......) n=91407: c60936(9009009009......) = 11024451470359 * c60923(8171843318......) n=91280: c31094(1702979666......) = 16487333709281 * c31081(1032901800......) n=91288: c45634(1140963096......) = 19404806893337 * c45620(5879796190......) n=91292: c44017(1009999999......) = 10470896522629 * c44003(9645783413......) n=45564: c15185(1009998990......) = 13783537390321 * c15171(7327574637......) n=91200: c23040(9999999999......) = 13536562646401 * c23027(7387399786......) n=90906: c29798(2825600695......) = 11996716461409 * c29785(2355311725......) n=90923: c75204(8299834269......) = 18523725514631 * c75191(4480650645......) n=90940L: c18176(1147856604......) = 17456155893941 * c18162(6575655097......) n=90790: c31099(2503297685......) = 17818872748531 * c31086(1404857490......) n=90792: c27644(1101406496......) = 17797851621577 * c27630(6188423858......) n=90610: c30698(4725823809......) = 17634071764531 * c30685(2679939082......) n=90630: c22435(2115832265......) = 16278923260441 * c22422(1299737231......) n=45251: c43972(3164534424......) = 16869943043683 * c43959(1875841795......) n=90488: c45234(4250030539......) = 17616874265593 * c45221(2412477080......) n=90306: c28887(1613370710......) = 10159050320407 * c28874(1588111742......) n=90366: c30114(1253665760......) = 17210171897143 * c30100(7284446480......) n=45194: c22147(2338921046......) = 17867025788041 * c22134(1309071288......) n=90218: c44455(6096310623......) = 10927907770183 * c44442(5578662221......) # 74984 of 100000 Phi_n(10) factorizations were cracked. -- Jun 27, 2013 (Makoto Kamada) -- n=46630: c18628(6713543212......) = 12176595978161 * c18615(5513481127......) n=46556: c22849(1009999999......) = 14141275034729 * c22835(7142213113......) n=46576: c22401(1000000009......) = 18866890478369 * c22387(5300290533......) n=93068: c45544(3773393606......) = 13849927542589 * c45531(2724486171......) n=46404: c15452(1077482787......) = 14135652373681 * c15438(7622448251......) n=46354: c17640(9999999000......) = 17999131190041 * c17627(5555823164......) n=92526: c26395(3331532868......) = 10062086657449 * c26382(3310976124......) # 74980 of 100000 Phi_n(10) factorizations were cracked. -- Jun 26, 2013 (Kurt Beschorner) -- n=3971: c3375(1017303693......) = 50618064421406856523074469237 * c3346(2009764113......) # ECM B1=1e6, sigma=3001740920 n=96469: c96463(2879443737......) = 259370341544693 * c96449(1110166922......) # mfactc -- Jun 26, 2013 (Makoto Kamada) -- n=48018: c15592(2385302274......) = 17801983961521 * c15579(1339908113......) n=96070: c35403(4808329588......) = 11965833897811 * c35390(4018382362......) n=48043: c47483(4683280169......) = 11566530297359 * c47470(4048993128......) n=23963: c23146(7442205934......) = 17393395362809 * c23133(4278753963......) n=95898: c29024(7399460279......) = 14955335199223 * c29011(4947706073......) n=95753: c82042(2845844734......) = 18304783684559 * c82029(1554700008......) n=95405: c76300(5328226494......) = 17511435674431 * c76287(3042712541......) n=95411: c94012(2985793022......) = 13159456459613 * c93999(2268933395......) n=47679: c30348(1085830097......) = 15864077378239 * c30334(6844583973......) n=47636: c23799(1446419553......) = 15687142635361 * c23785(9220414367......) n=47598: c15856(1259252075......) = 14940380098561 * c15842(8428514319......) n=94679: c87364(2487015318......) = 13020156856409 * c87351(1910127002......) n=47208: c13433(5043031243......) = 15704673369169 * c13420(3211165953......) n=94475: c75537(1849585109......) = 10577500547951 * c75524(1748603179......) n=94215: c45588(1791433496......) = 14434748173231 * c45575(1241056286......) n=47055: c25076(7595599932......) = 12502433318281 * c25063(6075297295......) n=94069: c89100(9000000000......) = 18044313886759 * c89087(4987720816......) n=93645: c49906(3395114939......) = 11229380804071 * c49893(3023421325......) n=46789: c46060(9000000000......) = 16473201334627 * c46047(5463418929......) n=93489: c56641(1109999999......) = 10818518846323 * c56628(1026018455......) # 74977 of 100000 Phi_n(10) factorizations were cracked. -- Jun 25, 2013 (Makoto Kamada) -- n=48840: c11507(1486345305......) = 16750067450161 * c11493(8873667584......) n=97370: c30517(5684894696......) = 13488384213851 * c30504(4214659522......) n=97285: c77815(9785552937......) = 13428152626991 * c77802(7287341162......) n=97141: c88266(9961241622......) = 12781785191957 * c88253(7793310146......) n=96526: c45138(4571947982......) = 14714918232277 * c45125(3107015553......) n=96213: c59144(1773469246......) = 11867304353893 * c59131(1494416249......) n=96274: c46792(6281320699......) = 11461941793903 * c46779(5480154071......) n=96109: c88673(1108294903......) = 14557782851093 * c88659(7613074838......) -- Jun 23, 2013 (Makoto Kamada) -- n=49056: c13818(6794950807......) = 16005452456449 * c13805(4245397514......) n=98172: c32401(1000000000......) = 15529292071849 * c32387(6439443571......) n=49028: c19568(1445142994......) = 12528051298001 * c19555(1153525763......) n=97802: c48162(3078890031......) = 12787518001289 * c48149(2407730750......) n=97823: c88911(8087456322......) = 11224301995391 * c88898(7205308914......) n=97708: c45073(1009999999......) = 17888255671469 * c45059(5646162591......) # 74974 of 100000 Phi_n(10) factorizations were cracked. -- Jun 22, 2013 (Makoto Kamada) -- n=49909: c48151(4159820005......) = 11322382591043 * c48138(3673979369......) n=49822: c23997(6375920189......) = 12828953954009 * c23984(4969945494......) n=24920: c8441(1375065041......) = 17721136615841 * c8427(7759463017......) n=49786: c21584(1141191831......) = 14488893282557 * c21570(7876321600......) n=99255: c48728(7967609316......) = 13135486898041 * c48715(6065712963......) n=49494: c16128(9100000000......) = 14425320195373 * c16115(6308352172......) n=98747: c87391(3410347311......) = 10686673869191 * c87378(3191214921......) n=49344: c16385(1000000000......) = 18658734888961 * c16371(5359420164......) n=98544: c32802(1394268168......) = 13913165528593 * c32789(1002121455......) # 74972 of 100000 Phi_n(10) factorizations were cracked. -- Jun 21, 2013 (Kurt Beschorner) -- n=3811: c3648(1278520684......) = 31850131117907768793184833523747 * c3616(4014177146......) # ECM B1=1e6, sigma=3602626440 n=3821: c3817(1453763065......) = 13718458754991070591406849 * c3792(1059713114......) # ECM B1=1e6, sigma=3077160839 n=3827: c3674(4554970491......) = 28546561032931223567536569853333 * c3643(1595628449......) # ECM B1=1e6, sigma=2818757007 -- Jun 17, 2013 (Maksym Voznyy) -- n=11025: p5018(2778485398......) is definitely prime. # Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_11025_10 # ----------------8<----------------8<----------------8<---------------- # The following probable prime factors are not certificated yet. # n=5059: p5052(3358264755......) http://factordb.com/index.php?id=1100000000013350149 # n=5237: p5192(8225727009......) http://factordb.com/index.php?id=1100000000021164062 # n=5323: p5277(5494980776......) http://factordb.com/index.php?id=1100000000013354497 # n=6119: p5837(3754893657......) http://factordb.com/index.php?id=1100000000416753186 # n=7509: p4955(2355545077......) http://factordb.com/index.php?id=1100000000476125842 # n=7597: p7380(2662259922......) http://factordb.com/index.php?id=1100000000476127140 # n=7745: p6175(2562004991......) http://factordb.com/index.php?id=1100000000559428116 # n=7797: p4906(5138372273......) http://factordb.com/index.php?id=1100000000592789033 # n=8223: p5371(1070563618......) http://factordb.com/index.php?id=1100000000419315002 # n=10455: p5109(3759996113......) http://factordb.com/index.php?id=1100000000032404131 # n=10679: p10398(3212734537......) http://factordb.com/index.php?id=1100000000587092362 # n=10703: p8264(5790721458......) http://factordb.com/index.php?id=1100000000596419742 # n=12351: p7775(2639345918......) http://factordb.com/index.php?id=1100000000589822155 # n=12413: p12382(1389253690......) http://factordb.com/index.php?id=1100000000013490240 # n=14011: p13957(3202159838......) http://factordb.com/index.php?id=1100000000575379519 # n=14408: p7186(4688304812......) http://factordb.com/index.php?id=1100000000014720256 # n=14485: p11566(1953572169......) http://factordb.com/index.php?id=1100000000615401029 # n=14582: p6934(4212511300......) http://factordb.com/index.php?id=1100000000032355112 # n=14825: p11812(4191829575......) http://factordb.com/index.php?id=1100000000583602914 # n=15332: p7647(3599323721......) http://factordb.com/index.php?id=1100000000014723489 # n=15472: p7724(6462870742......) http://factordb.com/index.php?id=1100000000014723987 # n=15728: p7851(2119357982......) http://factordb.com/index.php?id=1100000000014724861 # n=15934: p7655(9398162882......) http://factordb.com/index.php?id=1100000000032355349 # n=16597: p14213(3389166928......) http://factordb.com/index.php?id=1100000000032433692 # n=16815: p8343(8867846097......) http://factordb.com/index.php?id=1100000000032435874 # n=18170: p6846(5144476898......) http://factordb.com/index.php?id=1100000000032355788 # n=18827: p18480(9000000000......) http://factordb.com/index.php?id=1100000000032454351 # n=19498: p9730(8251811537......) http://factordb.com/index.php?id=1100000000014739626 # n=20233: p20211(4205088806......) http://factordb.com/index.php?id=1100000000013669684 # n=20581: p18686(3423440887......) http://factordb.com/index.php?id=1100000000587111590 # n=20682: p6846(3573097616......) http://factordb.com/index.php?id=1100000000591596989 # n=21148: p9883(2211679650......) http://factordb.com/index.php?id=1100000000591597385 # n=21469: p18369(2534810559......) http://factordb.com/index.php?id=1100000000615459222 # n=21786: p7256(2521977139......) http://factordb.com/index.php?id=1100000000032356709 # n=21858: p7276(1149947374......) http://factordb.com/index.php?id=1100000000032356727 # n=21865: p17480(4725842171......) http://factordb.com/index.php?id=1100000000032485925 # n=22327: p21964(1003011728......) http://factordb.com/index.php?id=1100000000032491510 # n=22575: p10060(1762423748......) http://factordb.com/index.php?id=1100000000032494459 # n=23572: p11466(4152899286......) http://factordb.com/index.php?id=1100000000591599582 # n=24466: p11262(8383530241......) http://factordb.com/index.php?id=1100000000032357453 # n=24792: p8245(7484034255......) http://factordb.com/index.php?id=1100000000015780486 # n=24832: p12274(4612171090......) http://factordb.com/index.php?id=1100000000602433947 # n=25722: p8564(1297186619......) http://factordb.com/index.php?id=1100000000032357932 # n=25973: p24567(4967369915......) http://factordb.com/index.php?id=1100000000597306296 # n=26008: p12958(2371385622......) http://factordb.com/index.php?id=1100000000615703735 # n=26601: p17724(2959900507......) http://factordb.com/index.php?id=1100000000032542308 # n=26982: p8951(8406608028......) http://factordb.com/index.php?id=1100000000597306316 # n=27472: p12779(2206236194......) http://factordb.com/index.php?id=1100000000015790968 # n=27496: p11737(5951904519......) http://factordb.com/index.php?id=1100000000015791070 # n=28455: p12912(1713313150......) http://factordb.com/index.php?id=1100000000615703749 # n=28952: p10998(1599236780......) http://factordb.com/index.php?id=1100000000615703752 # n=29091: p19374(3948526192......) http://factordb.com/index.php?id=1100000000032553440 # n=29141: p23745(4638933562......) http://factordb.com/index.php?id=1100000000615704066 # n=30452: p14469(1040925734......) http://factordb.com/index.php?id=1100000000589745584 # n=30650: p12224(1815469202......) http://factordb.com/index.php?id=1100000000032359447 # n=30744: p8629(1825038389......) http://factordb.com/index.php?id=1100000000015803663 # n=31213: p24677(2908101418......) http://factordb.com/index.php?id=1100000000615704078 # n=31254: p10410(7175573812......) http://factordb.com/index.php?id=1100000000032359627 # n=31590: p7768(6960331352......) http://factordb.com/index.php?id=1100000000032359729 # n=32184: p10603(6671042459......) http://factordb.com/index.php?id=1100000000615704083 # n=32302: p15582(7580428912......) http://factordb.com/index.php?id=1100000000615704087 # n=32481: p21600(9999999999......) http://factordb.com/index.php?id=1100000000556949265 # n=34278: p10955(5420339387......) http://factordb.com/index.php?id=1100000000615704117 # n=34474: p15652(2718591171......) http://factordb.com/index.php?id=1100000000031223055 # n=35712: p11499(1854921265......) http://factordb.com/index.php?id=1100000000615704122 # n=37751: p32314(8689034915......) http://factordb.com/index.php?id=1100000000615704125 # n=38673: p25763(1136317924......) http://factordb.com/index.php?id=1100000000615704126 # n=41470: p13434(6631229424......) http://factordb.com/index.php?id=1100000000022717472 # n=41550: p11034(3760490463......) http://factordb.com/index.php?id=1100000000022717730 # n=43566: p14139(6962562835......) http://factordb.com/index.php?id=1100000000022724114 # n=44606: p22298(1019011701......) http://factordb.com/index.php?id=1100000000022727396 # n=47468: p23732(9900990099......) http://factordb.com/index.php?id=1100000000022736528 # n=47498: p20160(9090909091......) http://factordb.com/index.php?id=1100000000022736618 # n=47520: p11504(8700248466......) http://factordb.com/index.php?id=1100000000615704186 # n=47560: p17904(2209194873......) http://factordb.com/index.php?id=1100000000615704191 # n=49020L: p6027(1781565904......) http://factordb.com/index.php?id=1100000000022741479 Maksym Voznyy # n=49081: p49081(1111111111......) http://factordb.com/index.php?id=1100000000013937242 # n=49671: p33095(2285982058......) http://factordb.com/index.php?id=1100000000615704201 # n=50131: p50068(2479448013......) http://factordb.com/index.php?id=1100000000575655925 # n=51300M: p6475(1949313938......) http://factordb.com/index.php?id=1100000000022749153 # n=51660M: p5754(4036177735......) http://factordb.com/index.php?id=1100000000022750359 # n=52028: p25995(3330698075......) http://factordb.com/index.php?id=1100000000022751617 # n=52062: p17353(1098901098......) http://factordb.com/index.php?id=1100000000022751729 # n=52066: p22288(1332570450......) http://factordb.com/index.php?id=1100000000022751752 # n=55315: p37998(3725063207......) http://factordb.com/index.php?id=1100000000314608933 # n=55601: p43057(1000000000......) http://factordb.com/index.php?id=1100000000563716320 # n=57740M: p11545(2824060999......) http://factordb.com/index.php?id=1100000000022770929 # n=58962: p18944(1338567545......) http://factordb.com/index.php?id=1100000000022775164 # n=59220L: p6614(4606819083......) http://factordb.com/index.php?id=1100000000022776045 # n=59340M: p7393(2555229610......) http://factordb.com/index.php?id=1100000000022319751 # n=59772: p18688(9901000000......) http://factordb.com/index.php?id=1100000000022320970 # n=64060L: p12809(2824060999......) http://factordb.com/index.php?id=1100000000022333805 # n=64410: p16115(1233544571......) http://factordb.com/index.php?id=1100000000022334904 # n=65626: p28057(1459800300......) http://factordb.com/index.php?id=1100000000615704360 # n=67347: p38382(7391571857......) http://factordb.com/index.php?id=1100000000615704363 # n=67366: p31075(5442877005......) http://factordb.com/index.php?id=1100000000615704364 # n=68102: p32033(1099999999......) http://factordb.com/index.php?id=1100000000557665558 # n=70740L: p9361(1000100005......) http://factordb.com/index.php?id=1100000000615928441 # n=70842: p23613(1098901098......) http://factordb.com/index.php?id=1100000000293897389 # n=71400: p15352(5670284275......) http://factordb.com/index.php?id=1100000000615704371 # n=72184: p30906(6297664618......) http://factordb.com/index.php?id=1100000000615704376 # n=73094: p29832(9090910000......) http://factordb.com/index.php?id=1100000000556949394 # n=73808: p31585(1000000009......) http://factordb.com/index.php?id=1100000000556949493 # n=74112: p24556(1016058865......) http://factordb.com/index.php?id=1100000000615704390 # n=75740M: p12953(1371715669......) http://factordb.com/index.php?id=1100000000615933369 # n=76537: p76529(1680243818......) http://factordb.com/index.php?id=1100000000021230909 # n=77061: p48301(1758205326......) http://factordb.com/index.php?id=1100000000615704405 # n=77077: p55441(1000000000......) http://factordb.com/index.php?id=1100000000563445641 # n=79710: p21248(9100090999......) http://factordb.com/index.php?id=1100000000556949246 # n=82360: p31360(9999000099......) http://factordb.com/index.php?id=1100000000556949424 # n=83967: p51639(4884525227......) http://factordb.com/index.php?id=1100000000596833389 # n=85113: p48339(7099610268......) http://factordb.com/index.php?id=1100000000415323025 # n=86154: p28202(1821117073......) http://factordb.com/index.php?id=1100000000615720928 # n=86340M: p11491(7801769750......) http://factordb.com/index.php?id=1100000000593024392 # n=86453: p86453(1111111111......) http://factordb.com/index.php?id=1100000000046752372 # n=87114: p29020(5179196579......) http://factordb.com/index.php?id=1100000000615720934 # n=87312: p27116(5668758151......) http://factordb.com/index.php?id=1100000000615720957 # n=88676: p37993(1009999999......) http://factordb.com/index.php?id=1100000000563733924 # n=90312: p29116(1107149590......) http://factordb.com/index.php?id=1100000000615720958 # n=92092: p31681(1009999999......) http://factordb.com/index.php?id=1100000000556949529 # n=92712: p30897(1000099999......) http://factordb.com/index.php?id=1100000000556949399 # n=93420L: p12372(1989086709......) http://factordb.com/index.php?id=1100000000615934614 # n=93811: p93765(2592502388......) http://factordb.com/index.php?id=1100000000530981325 # n=93914: p46945(2805905158......) http://factordb.com/index.php?id=1100000000022414371 # n=94100L: p18788(5376763212......) http://factordb.com/index.php?id=1100000000615934625 # n=96684: p27594(2048115086......) http://factordb.com/index.php?id=1100000000615721010 # n=97098: p32350(1718114428......) http://factordb.com/index.php?id=1100000000536289244 # ----------------8<----------------8<----------------8<---------------- -- Jun 12, 2013 (Kurt Beschorner) -- n=3803: c3765(1032296950......) = 1070954024794737800857839063869597 * c3731(9639040770......) # ECM B1=1e6, sigma=2633490459 n=3879: c2577(1287537055......) = 939722623646434838955448942985893 * c2544(1370124569......) # ECM B1=1e6, sigma=687784283 -- Jun 6, 2013 (Kurt Beschorner) -- n=3791: c3509(5681809578......) = 50547103329151432608177517823603 * c3478(1124062350......) # ECM B1=1e6, sigma=3780465547 n=3797: c3785(1298014491......) = 26781717084358920331682150489 * c3756(4846644028......) # ECM B1=1e6, sigma=2050378527