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June 30, 2013 2013 年 6 月 30 日 (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.

June 29, 2013 2013 年 6 月 29 日 (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.

June 27, 2013 2013 年 6 月 27 日 (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.

June 26, 2013 2013 年 6 月 26 日 (Kurt Beschorner)

n=3971: c3375(1017303693......) = 50618064421406856523074469237 * c3346(2009764113......)

# ECM B1=1e6, sigma=3001740920

n=96469: c96463(2879443737......) = 259370341544693 * c96449(1110166922......)

# mfactc

June 26, 2013 2013 年 6 月 26 日 (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.

June 25, 2013 2013 年 6 月 25 日 (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......)

June 23, 2013 2013 年 6 月 23 日 (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.

June 22, 2013 2013 年 6 月 22 日 (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.

June 21, 2013 2013 年 6 月 21 日 (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

June 17, 2013 2013 年 6 月 17 日 (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

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

June 12, 2013 2013 年 6 月 12 日 (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

June 6, 2013 2013 年 6 月 6 日 (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

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