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January 23, 2014 2014 年 1 月 23 日 (Kurt Beschorner)

n=4417: c3734(4617139972......) = 1907435250368634971305461325879 * c3704(2420601156......)

# ECM B1=1e6, sigma=2997387046

January 23, 2014 2014 年 1 月 23 日 (EMK2)

# via yoyo@home

n=1087: c1076(1457780947......) = 10722436014281716681874846029172179019363 * c1036(1359561339......)

# ECM B1=11000000, sigma=3985048892

January 22, 2014 2014 年 1 月 22 日 (Kurt Beschorner)

n=4421: c4412(3003917273......) = 3792369628019827432780624957 * c4384(7920950667......)

# ECM B1=1e6, sigma=3747546272

n=4463: c4378(8532536808......) = 2391852655142015208499440653 * c4351(3567333794......)

# ECM B1=1e6, sigma=1144476120

January 20, 2014 2014 年 1 月 20 日 (Maksym Voznyy)

n=2027: p1919(3568981554......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_2027_10

The following 126 probable prime factors are not certificated yet.
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=7597: p7380(2662259922......)   http://factordb.com/index.php?id=1100000000476127140
n=7745: p6175(2562004991......)   http://factordb.com/index.php?id=1100000000559428116
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=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=16886: p8406(2001272104......)   http://factordb.com/index.php?id=1100000000636162381
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=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=43106: p18450(3377757599......)   http://factordb.com/index.php?id=1100000000622234960
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=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=65924: p32926(4189483724......)   http://factordb.com/index.php?id=1100000000636311936
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=77050: p29027(1553899293......)   http://factordb.com/index.php?id=1100000000636541242
n=77061: p48301(1758205326......)   http://factordb.com/index.php?id=1100000000615704405
n=77077: p55441(1000000000......)   http://factordb.com/index.php?id=1100000000563445641
n=79560: p18417(2260354660......)   http://factordb.com/index.php?id=1100000000636695277
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

January 16, 2014 2014 年 1 月 16 日 (Kurt Beschorner)

n=4461: c2972(9009009009......) = 25850904229254754096761289 * c2947(3484987963......)

# ECM B1=1e6, sigma=3461567055

n=4467: c2933(3240577617......) = 59927822156162305871034544837294115142049 * c2892(5407467684......)

# ECM B1=1e6, sigma=1812797353

# 75917 of 100000 Phi_n(10) factorizations were cracked.

January 16, 2014 2014 年 1 月 16 日 (Bo Chen)

n=2027: c1968(1604798110......) = 4496515564174639116528388812244676150431195718893 * p1919(3568981554......)

# ECM B1=3e6, sigma=2191480116

Primality testing 3568981554...... [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.71% and helper 0.09% (2.24% proof)
3568981554...... is Fermat and Lucas PRP! (0.2810s+0.0209s)                                    

# 1078 of 100000 Phi_n(10) factorizations were finished.

# 115 of 9592 R_prime factorizations were finished.

January 13, 2014 2014 年 1 月 13 日 (Maksym Voznyy)

n=4353: p2831(3482104074......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_4353_10

January 9, 2014 2014 年 1 月 9 日 (Kurt Beschorner)

n=4377: c2906(1785411361......) = 324906299675123868278899080566617093 * c2870(5495157722......)

# ECM B1=1e6, sigma=3506812022

n=4409: c4360(8178635973......) = 853251332671998607957569764364108517 * c4324(9585260122......)

# ECM B1=1e6, sigma=4214823575

n=4457: c4416(5745213845......) = 998951513209184831345768292107 * c4386(5751243948......)

# ECM B1=1e6, sigma=25748771

January 2, 2014 2014 年 1 月 2 日 (Kurt Beschorner)

n=1050: c165(7414122342......) = 24971969849212163241656989542667006849298004553698828087959894069143145851 * p92(2968977772......)

# gnfs

Sat Dec 28 16:00:51 2013 Found 105877138 relations, 100.1% of the estimated minimum (105776756).
Sat Dec 28 16:00:52 2013  commencing number field sieve (165-digit input)
Sat Dec 28 16:00:52 2013  R0: -96825210385045551624506485928616
Sat Dec 28 16:00:52 2013  R1: 497686998681346841
Sat Dec 28 16:00:52 2013  A0: -386704036238613560688232913701025748774343
Sat Dec 28 16:00:52 2013  A1: 238703459819472440996436136843198159
Sat Dec 28 16:00:52 2013  A2: 23964170870950384475533488589
Sat Dec 28 16:00:52 2013  A3: -355561797669487235491
Sat Dec 28 16:00:52 2013  A4: -14249803514658
Sat Dec 28 16:00:52 2013  A5: 87120
Sat Dec 28 16:00:52 2013  skew 38905439.73, size 3.488e-016, alpha -8.228, combined = 5.926e-013 rroots = 5
Sat Dec 28 16:00:52 2013  commencing relation filtering
Sat Dec 28 16:34:42 2013 -> Running matrix solving step ...
Sat Dec 28 16:34:43 2013  commencing linear algebra
Mon Dec 30 07:36:23 2013 -> Running square root step ...
Mon Dec 30 07:36:24 2013  commencing square root phase
Mon Dec 30 11:33:45 2013  prp74 factor: 24971969849212163241656989542667006849298004553698828087959894069143145851
Mon Dec 30 11:33:45 2013  prp92 factor: 29689777727695129732880485994429776791862651873860748152980797376212977017452165562616616651

# c165 was the 2nd smallest composite cofactor in the list.

# 1077 of 100000 Phi_n(10) factorizations were finished.

January 1, 2014 2014 年 1 月 1 日 (Bo Chen)

n=2027: c2005(5964590482......) = 37167232701720430152123515598172732037 * c1968(1604798110......)

# ECM B1=3e6, sigma=1715080982

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