-- Mar 31, 2015 (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 # ----------------8<----------------8<----------------8<---------------- # 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 # ----------------8<----------------8<----------------8<---------------- -- Mar 30, 2015 (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. -- Mar 29, 2015 (Kurt Beschorner) -- n=1230: c249(2556401261......) = 1102678522581138741425727962459101300689046291 * c204(2318355902......) # ECM B1=26e7, sigma=4023040530 -- Mar 27, 2015 (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 -- Mar 26, 2015 (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. -- Mar 25, 2015 (Alfred Reich) -- n=12208: c5163(3390738470......) = 8589840329041886690728827747918082241 * c5126(3947382419......) # P-1 -- Mar 25, 2015 (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. -- Mar 24, 2015 (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. -- Mar 24, 2015 (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 -- Mar 24, 2015 (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%). -- Mar 23, 2015 (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 -- Mar 22, 2015 (Bo Chen and Kurt Beschorner) -- n=1110: c167(7371732631......) = 2067231225493579124691265691673517567653300635544400879316674712296736966641 * p92(3565993267......) # NFS # ----------------8<----------------8<----------------8<---------------- # 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 # ----------------8<----------------8<----------------8<---------------- # 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. -- Mar 21, 2015 (Alfred Reich) -- n=22790: c8725(4453730762......) = 10349119360636837691 * c8706(4303487676......) # P-1 -- Mar 19, 2015 (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 -- Mar 19, 2015 (Kurt Beschorner) -- n=1229: c1196(1384727565......) = 59874226080362813091178298309426609 * c1161(2312727289......) # ECM B1=1e6, sigma=3731674072 -- Mar 14, 2015 (Tex1954) -- # via yoyo@home n=417: c260(1009957677......) = 1203208201824602098681112647738760571037252321 * c214(8393872944......) # ECM B1=850000000, sigma=3400808836 -- Mar 9, 2015 (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. -- Mar 8, 2015 (Alfred Reich) -- n=28641: c19071(7486194114......) = 13545559054541076163 * c19052(5526677846......) # P-1