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March 31, 2015 2015 年 3 月 31 日 (Maksym Voznyy)

n=7597: p7380(2662259922......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_7597_10

The following 108 probable prime factors are not certificated yet.
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=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=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=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=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=52028: p25995(3330698075......)   http://factordb.com/index.php?id=1100000000022751617
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=59340M: p7393(2555229610......)   http://factordb.com/index.php?id=1100000000022319751
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

March 30, 2015 2015 年 3 月 30 日 (Kurt Beschorner)

n=5427: c3564(9999999999......) = 498223510113113409231236060227 * c3535(2007131296......)

# ECM B1=1e6, sigma=1893833666

n=5475: c2849(5686741540......) = 1352418606096418198586891551 * c2822(4204867867......)

# ECM B1=1e6, sigma=2109634011

# 75934 of 100000 Phi_n(10) factorizations were cracked.

March 29, 2015 2015 年 3 月 29 日 (Kurt Beschorner)

n=1230: c249(2556401261......) = 1102678522581138741425727962459101300689046291 * c204(2318355902......)

# ECM B1=26e7, sigma=4023040530

March 27, 2015 2015 年 3 月 27 日 (Maksym Voznyy)

n=21858: p7276(1149947374......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_21858_10

March 26, 2015 2015 年 3 月 26 日 (Alfred Reich)

n=12226: c6081(8256803084......) = 545289122274695369986192411 * c6055(1514206454......)

# P-1

n=12252: c4003(6546528080......) = 5023236027022906572177834961 * c3976(1303249149......)

# P-1

n=12254: c5561(1099999999......) = 400802238312171840992671561 * c5534(2744495651......)

# P-1

# 75933 of 100000 Phi_n(10) factorizations were cracked.

March 25, 2015 2015 年 3 月 25 日 (Alfred Reich)

n=12208: c5163(3390738470......) = 8589840329041886690728827747918082241 * c5126(3947382419......)

# P-1

March 25, 2015 2015 年 3 月 25 日 (Kurt Beschorner)

n=1230: c297(2836709108......) = 1109649393276867840472199951726880949173205522051 * c249(2556401261......)

# ECM B1=26e7, sigma=3272888327

n=5555: c4001(1111099999......) = 12334869914704524127846528151 * c3972(9007796658......)

# ECM B1=1e6, sigma=3801903903

# 75932 of 100000 Phi_n(10) factorizations were cracked.

March 24, 2015 2015 年 3 月 24 日 (Alfred Reich)

n=15218: c6517(1099999890......) = 1439324932683109469339443698898253 * c6483(7642470890......)

# P-1

n=14464: c7149(1031153163......) = 14503089181502940468097 * c7126(7109886385......)

# P-1

n=18298: c7812(6464383113......) = 2678186570586547903 * c7794(2413716499......)

# P-1

# 75931 of 100000 Phi_n(10) factorizations were cracked.

March 24, 2015 2015 年 3 月 24 日 (Kurt Beschorner)

n=5405: c4013(5422642810......) = 10148388822644144477398757015195431 * c3979(5343353418......)

# ECM B1=11e6, sigma=1261444601

n=5425: c3528(1115853361......) = 93360705662805086625449895675191551 * c3493(1195206649......)

# ECM B1=11e6, sigma=3636215299

n=5469: c3625(1010594195......) = 23740017930538677611397633078397 * c3593(4256922630......)

# ECM B1=11e6, sigma=3077539964

March 24, 2015 2015 年 3 月 24 日 (mesca)

# via yoyo@home

n=417: c214(8393872944......) = 299569398078509199090655565325033824709732952423319053 * c161(2801979440......)

# ECM B1=850000000, sigma=2795214533

# c161 is the smallest composite.

# n=417 (c161) has the 5th biggest factored part (41.86%).

March 23, 2015 2015 年 3 月 23 日 (Maksym Voznyy)

n=21786: p7256(2521977139......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_21786_10

March 22, 2015 2015 年 3 月 22 日 (Bo Chen and Kurt Beschorner)

n=1110: c167(7371732631......) = 2067231225493579124691265691673517567653300635544400879316674712296736966641 * p92(3565993267......)

# NFS

Wed Mar 18 10:43:59 2015  
Wed Mar 18 10:43:59 2015  Msieve v. 1.52 (SVN 883 pre-release)
Wed Mar 18 10:43:59 2015  random seeds: f751e220 d1ec8690
Wed Mar 18 10:43:59 2015  factoring 73717326315969404279207581768661724087742005820855649773087667629838084851573382638027848265791228060230470884603886081946782269558047730929356421235189895277598285601 (167 digits)
Wed Mar 18 10:44:00 2015  searching for 15-digit factors
Wed Mar 18 10:44:00 2015  commencing number field sieve (167-digit input)
Wed Mar 18 10:44:00 2015  R0: -437104739020761764441766033374387
Wed Mar 18 10:44:00 2015  R1: 59910853634961589
Wed Mar 18 10:44:00 2015  A0: 2368803102501819391680706061583239113141920
Wed Mar 18 10:44:00 2015  A1: 174838728655914777336902983007456884
Wed Mar 18 10:44:00 2015  A2: -12115998899199056453231198475
Wed Mar 18 10:44:00 2015  A3: 33630056006451109206
Wed Mar 18 10:44:00 2015  A4: 1888608371150
Wed Mar 18 10:44:00 2015  A5: 4620
Wed Mar 18 10:44:00 2015  skew 79358883.04, size 3.146e-016, alpha -7.877, combined = 5.694e-013 rroots = 5
Wed Mar 18 10:44:00 2015  
Wed Mar 18 10:44:00 2015  commencing relation filtering
Wed Mar 18 10:44:00 2015  estimated available RAM is 16301.6 MB
Wed Mar 18 10:44:00 2015  commencing duplicate removal, pass 1
...
Wed Mar 18 11:01:48 2015  found 24123764 hash collisions in 161496242 relations
Wed Mar 18 11:02:53 2015  added 38822 free relations
Wed Mar 18 11:02:53 2015  commencing duplicate removal, pass 2
Wed Mar 18 11:05:59 2015  found 22653530 duplicates and 138881534 unique relations
Wed Mar 18 11:05:59 2015  memory use: 788.8 MB
Wed Mar 18 11:05:59 2015  reading ideals above 61014016
Wed Mar 18 11:05:59 2015  commencing singleton removal, initial pass
Wed Mar 18 11:24:45 2015  memory use: 3012.0 MB
Wed Mar 18 11:24:46 2015  reading all ideals from disk
Wed Mar 18 11:25:01 2015  memory use: 2536.1 MB
Wed Mar 18 11:25:09 2015  commencing in-memory singleton removal
Wed Mar 18 11:25:17 2015  begin with 138881533 relations and 144067174 unique ideals
Wed Mar 18 11:26:45 2015  reduce to 52225667 relations and 42304500 ideals in 22 passes
Wed Mar 18 11:26:45 2015  max relations containing the same ideal: 48
Wed Mar 18 11:26:52 2015  reading ideals above 720000
Wed Mar 18 11:26:52 2015  commencing singleton removal, initial pass
Wed Mar 18 11:37:12 2015  memory use: 1378.0 MB
Wed Mar 18 11:37:12 2015  reading all ideals from disk
Wed Mar 18 11:37:27 2015  memory use: 1994.2 MB
Wed Mar 18 11:37:35 2015  keeping 49254909 ideals with weight <= 200, target excess is 285901
Wed Mar 18 11:37:42 2015  commencing in-memory singleton removal
Wed Mar 18 11:37:48 2015  begin with 52225667 relations and 49254909 unique ideals
Wed Mar 18 11:39:07 2015  reduce to 52215029 relations and 49244270 ideals in 10 passes
Wed Mar 18 11:39:07 2015  max relations containing the same ideal: 200
Wed Mar 18 11:39:40 2015  removing 4699578 relations and 4299578 ideals in 400000 cliques
Wed Mar 18 11:39:42 2015  commencing in-memory singleton removal
Wed Mar 18 11:39:48 2015  begin with 47515451 relations and 49244270 unique ideals
Wed Mar 18 11:41:05 2015  reduce to 47168278 relations and 44593502 ideals in 11 passes
Wed Mar 18 11:41:05 2015  max relations containing the same ideal: 194
Wed Mar 18 11:41:35 2015  removing 3410477 relations and 3010477 ideals in 400000 cliques
Wed Mar 18 11:41:37 2015  commencing in-memory singleton removal
Wed Mar 18 11:41:42 2015  begin with 43757801 relations and 44593502 unique ideals
Wed Mar 18 11:42:46 2015  reduce to 43551953 relations and 41375159 ideals in 10 passes
Wed Mar 18 11:42:46 2015  max relations containing the same ideal: 186
Wed Mar 18 11:43:13 2015  removing 2997087 relations and 2597087 ideals in 400000 cliques
Wed Mar 18 11:43:15 2015  commencing in-memory singleton removal
Wed Mar 18 11:43:19 2015  begin with 40554866 relations and 41375159 unique ideals
Wed Mar 18 11:44:18 2015  reduce to 40381235 relations and 38602765 ideals in 10 passes
Wed Mar 18 11:44:18 2015  max relations containing the same ideal: 177
Wed Mar 18 11:44:45 2015  removing 2781071 relations and 2381071 ideals in 400000 cliques
Wed Mar 18 11:44:46 2015  commencing in-memory singleton removal
Wed Mar 18 11:44:50 2015  begin with 37600164 relations and 38602765 unique ideals
Wed Mar 18 11:45:50 2015  reduce to 37440549 relations and 36060500 ideals in 11 passes
Wed Mar 18 11:45:50 2015  max relations containing the same ideal: 170
Wed Mar 18 11:46:14 2015  removing 2640292 relations and 2240292 ideals in 400000 cliques
Wed Mar 18 11:46:15 2015  commencing in-memory singleton removal
Wed Mar 18 11:46:19 2015  begin with 34800257 relations and 36060500 unique ideals
Wed Mar 18 11:47:15 2015  reduce to 34644104 relations and 33662531 ideals in 11 passes
Wed Mar 18 11:47:15 2015  max relations containing the same ideal: 160
Wed Mar 18 11:47:37 2015  removing 2547185 relations and 2147185 ideals in 400000 cliques
Wed Mar 18 11:47:38 2015  commencing in-memory singleton removal
Wed Mar 18 11:47:41 2015  begin with 32096919 relations and 33662531 unique ideals
Wed Mar 18 11:48:26 2015  reduce to 31939154 relations and 31355945 ideals in 10 passes
Wed Mar 18 11:48:26 2015  max relations containing the same ideal: 153
Wed Mar 18 11:48:46 2015  removing 1705421 relations and 1453858 ideals in 251563 cliques
Wed Mar 18 11:48:47 2015  commencing in-memory singleton removal
Wed Mar 18 11:48:50 2015  begin with 30233733 relations and 31355945 unique ideals
Wed Mar 18 11:49:23 2015  reduce to 30159094 relations and 29826902 ideals in 8 passes
Wed Mar 18 11:49:23 2015  max relations containing the same ideal: 149
Wed Mar 18 11:49:48 2015  relations with 0 large ideals: 971
Wed Mar 18 11:49:48 2015  relations with 1 large ideals: 1114
Wed Mar 18 11:49:48 2015  relations with 2 large ideals: 18888
Wed Mar 18 11:49:48 2015  relations with 3 large ideals: 191704
Wed Mar 18 11:49:48 2015  relations with 4 large ideals: 1059753
Wed Mar 18 11:49:48 2015  relations with 5 large ideals: 3435913
Wed Mar 18 11:49:48 2015  relations with 6 large ideals: 6857901
Wed Mar 18 11:49:48 2015  relations with 7+ large ideals: 18592850
Wed Mar 18 11:49:48 2015  commencing 2-way merge
Wed Mar 18 11:50:16 2015  reduce to 17075083 relation sets and 16742892 unique ideals
Wed Mar 18 11:50:16 2015  ignored 1 oversize relation sets
Wed Mar 18 11:50:16 2015  commencing full merge
Wed Mar 18 11:54:52 2015  memory use: 1966.8 MB
Wed Mar 18 11:54:55 2015  found 9298441 cycles, need 9253092
Wed Mar 18 11:54:56 2015  weight of 9253092 cycles is about 647906951 (70.02/cycle)
Wed Mar 18 11:54:56 2015  distribution of cycle lengths:
Wed Mar 18 11:54:56 2015  1 relations: 1328680
Wed Mar 18 11:54:56 2015  2 relations: 1244911
Wed Mar 18 11:54:56 2015  3 relations: 1211569
Wed Mar 18 11:54:56 2015  4 relations: 1032428
Wed Mar 18 11:54:56 2015  5 relations: 935452
Wed Mar 18 11:54:56 2015  6 relations: 778374
Wed Mar 18 11:54:56 2015  7 relations: 644503
Wed Mar 18 11:54:56 2015  8 relations: 531631
Wed Mar 18 11:54:56 2015  9 relations: 436584
Wed Mar 18 11:54:56 2015  10+ relations: 1108960
Wed Mar 18 11:54:56 2015  heaviest cycle: 19 relations
Wed Mar 18 11:54:57 2015  commencing cycle optimization
Wed Mar 18 11:55:11 2015  start with 46704881 relations
Wed Mar 18 11:56:17 2015  pruned 656574 relations
Wed Mar 18 11:56:17 2015  memory use: 1706.5 MB
Wed Mar 18 11:56:17 2015  distribution of cycle lengths:
Wed Mar 18 11:56:17 2015  1 relations: 1328680
Wed Mar 18 11:56:17 2015  2 relations: 1265512
Wed Mar 18 11:56:17 2015  3 relations: 1240625
Wed Mar 18 11:56:17 2015  4 relations: 1045258
Wed Mar 18 11:56:17 2015  5 relations: 943977
Wed Mar 18 11:56:17 2015  6 relations: 778905
Wed Mar 18 11:56:17 2015  7 relations: 642951
Wed Mar 18 11:56:17 2015  8 relations: 526989
Wed Mar 18 11:56:17 2015  9 relations: 430482
Wed Mar 18 11:56:17 2015  10+ relations: 1049713
Wed Mar 18 11:56:17 2015  heaviest cycle: 19 relations
Wed Mar 18 11:56:29 2015  RelProcTime: 4349
Wed Mar 18 11:56:29 2015  
Wed Mar 18 11:56:29 2015  commencing linear algebra
Wed Mar 18 11:56:32 2015  read 9253092 cycles
Wed Mar 18 11:56:49 2015  cycles contain 29806014 unique relations
Wed Mar 18 12:01:37 2015  read 29806014 relations
Wed Mar 18 12:02:21 2015  using 20 quadratic characters above 2147483124
Wed Mar 18 12:05:04 2015  building initial matrix
Wed Mar 18 12:11:21 2015  memory use: 4060.7 MB
Wed Mar 18 12:11:30 2015  read 9253092 cycles
Wed Mar 18 12:11:34 2015  matrix is 9252911 x 9253092 (2837.8 MB) with weight 894516559 (96.67/col)
Wed Mar 18 12:11:34 2015  sparse part has weight 632868438 (68.40/col)
Wed Mar 18 12:13:21 2015  filtering completed in 2 passes
Wed Mar 18 12:13:25 2015  matrix is 9243279 x 9243460 (2837.1 MB) with weight 894194773 (96.74/col)
Wed Mar 18 12:13:25 2015  sparse part has weight 632813826 (68.46/col)
Wed Mar 18 12:13:51 2015  matrix starts at (0, 0)
Wed Mar 18 12:13:55 2015  matrix is 9243279 x 9243460 (2837.1 MB) with weight 894194773 (96.74/col)
Wed Mar 18 12:13:55 2015  sparse part has weight 632813826 (68.46/col)
Wed Mar 18 12:13:55 2015  saving the first 48 matrix rows for later
Wed Mar 18 12:13:58 2015  matrix includes 64 packed rows
Wed Mar 18 12:14:00 2015  matrix is 9243231 x 9243460 (2741.4 MB) with weight 714109631 (77.26/col)
Wed Mar 18 12:14:00 2015  sparse part has weight 626199755 (67.75/col)
Wed Mar 18 12:14:00 2015  using block size 65536 for processor cache size 12288 kB
Wed Mar 18 12:14:44 2015  commencing Lanczos iteration (12 threads)
Wed Mar 18 12:14:44 2015  memory use: 2981.9 MB
Wed Mar 18 12:15:40 2015  linear algebra at 0.0%, ETA 91h26m
Wed Mar 18 12:15:57 2015  checkpointing every 110000 dimensions
Sun Mar 22 05:43:01 2015  lanczos halted after 146177 iterations (dim = 9243229)
Sun Mar 22 05:43:25 2015  recovered 28 nontrivial dependencies
Sun Mar 22 05:43:29 2015  BLanczosTime: 323220
Sun Mar 22 05:43:29 2015  
Sun Mar 22 05:43:29 2015  commencing square root phase
Sun Mar 22 05:43:29 2015  reading relations for dependency 1
Sun Mar 22 05:43:32 2015  read 4620882 cycles
Sun Mar 22 05:43:39 2015  cycles contain 14908694 unique relations
Sun Mar 22 05:46:47 2015  read 14908694 relations
Sun Mar 22 05:48:22 2015  multiplying 14908694 relations
Sun Mar 22 06:13:51 2015  multiply complete, coefficients have about 778.39 million bits
Sun Mar 22 06:13:59 2015  initial square root is modulo 9623087
Sun Mar 22 06:48:53 2015  GCD is 1, no factor found
Sun Mar 22 06:48:53 2015  reading relations for dependency 2
Sun Mar 22 06:48:58 2015  read 4621026 cycles
Sun Mar 22 06:49:08 2015  cycles contain 14904888 unique relations
Sun Mar 22 06:52:00 2015  read 14904888 relations
Sun Mar 22 06:53:51 2015  multiplying 14904888 relations
Sun Mar 22 07:24:53 2015  multiply complete, coefficients have about 778.19 million bits
Sun Mar 22 07:25:03 2015  initial square root is modulo 9584153
Sun Mar 22 08:03:55 2015  sqrtTime: 8426
Sun Mar 22 08:03:55 2015  prp76 factor: 2067231225493579124691265691673517567653300635544400879316674712296736966641
Sun Mar 22 08:03:55 2015  prp92 factor: 35659932670748240040264579983001349652095197374575865104279861880596411416379094721760000561
Sun Mar 22 08:03:55 2015  elapsed time 93:19:56

# n=1110 (c167) was the smallest composite.

# n=1110 had the 4th biggest factored part (42.05%).

# 1087 of 100000 Phi_n(10) factorizations were finished.

March 21, 2015 2015 年 3 月 21 日 (Alfred Reich)

n=22790: c8725(4453730762......) = 10349119360636837691 * c8706(4303487676......)

# P-1

March 19, 2015 2015 年 3 月 19 日 (Maksym Voznyy)

n=14582: p6934(4212511300......) is definitely prime.

# Certification is available at: http://stdkmd.com/nrr/cert/Phi/index.htm#CERT_PHI_14582_10

March 19, 2015 2015 年 3 月 19 日 (Kurt Beschorner)

n=1229: c1196(1384727565......) = 59874226080362813091178298309426609 * c1161(2312727289......)

# ECM B1=1e6, sigma=3731674072

March 14, 2015 2015 年 3 月 14 日 (Tex1954)

# via yoyo@home

n=417: c260(1009957677......) = 1203208201824602098681112647738760571037252321 * c214(8393872944......)

# ECM B1=850000000, sigma=3400808836

March 9, 2015 2015 年 3 月 9 日 (Alfred Eichhorn)

n=24551: c24551(1111111111......) = 258342766149417742963 * c24530(4300918224......)

# ECM B1=2e3, sigma=2786938423

# 75930 of 100000 Phi_n(10) factorizations were cracked.

# 7467 of 9592 R_prime factorizations were cracked.

March 8, 2015 2015 年 3 月 8 日 (Alfred Reich)

n=28641: c19071(7486194114......) = 13545559054541076163 * c19052(5526677846......)

# P-1

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