is 2 725723 - 1
has 218465 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE5D00A60E295FC94double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26882.131770.5882%10000000020026029523503,162.456322.9447%3,244.588077.3367%6.7484%
Target2440.000054.5455%120004500000.001016.5681%0.001062.0764%7.5310%
Difference+24+82.1317+16.0428%+99988000+2002602502350+3,162.4552+6.3766%+3,244.5869+15.2603%-0.7825%

Known prime factors (1 factor, 135.5 bits, 0.01866492% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7257235973127481339469998142952823939170873270341135.45641152943212075888446025224665190237
3 × 132 × 23 × 12653 × 116507 × 335999 × 21982423 × 324120151
2022-12-03219824233241201512.423e+111.11331.2956

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.159%
2002-01-28T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.350%
2002-03-16T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.648%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.074%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.638%
2002-11-16T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.340%
2003-06-17T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.168%
2011-02-24T01:35:00Jocelyn LaroucheManual testing400000400000---0.012--1.388%
2011-08-20T14:17:00Jocelyn LaroucheManual testing503447503447---0.015--1.544%
2011-10-08T20:48:00Jocelyn LaroucheManual testing10068951006895---0.029--2.078%
2012-03-20T00:28:00Jocelyn LaroucheManual testing15103431510343---0.044--2.432%
2012-11-05T22:19:00Jocelyn LaroucheManual testing24944842494484---0.072--2.914%
2015-04-08T16:59:00Jocelyn LaroucheManual testing27439322743932---0.079--3.010%
2015-05-01T17:21:00Jocelyn LaroucheManual testing33201573320157---0.096--3.209%
2015-05-22T00:28:00Jocelyn LaroucheManual testing36521723652172---0.106--3.311%
2015-06-08T13:43:00Jocelyn LaroucheManual testing40173894017389---0.116--3.414%
2015-06-25T21:15:00Jocelyn LaroucheManual testing44191274419127---0.128--3.519%
2015-09-15T15:52:00Jocelyn LaroucheManual testing48610394861039---0.141--3.626%
2015-09-18T18:59:00Jocelyn LaroucheManual testing53471425347142---0.155--3.734%
2015-09-20T11:32:00Jocelyn LaroucheManual testing58818565881856---0.170--3.844%
2015-09-27T21:23:11Jocelyn LaroucheManual testing64700416470041---0.187--3.956%
2015-09-29T21:54:53Jocelyn LaroucheManual testing71170457117045---0.206--4.069%
2015-10-09T10:45:16Jocelyn LaroucheManual testing83439728343972---0.242--4.262%
2015-10-12T20:08:52Jocelyn LaroucheManual testing88591958859195---0.257--4.335%
2015-10-16T10:36:45Jocelyn LaroucheManual testing93744189374418---0.271--4.405%
2015-10-20T10:51:35Jocelyn LaroucheManual testing98896419889641---0.286--4.472%
2015-10-28T02:00:09Jocelyn LaroucheManual testing1040486410404864---0.301--4.536%
2015-11-06T02:59:22Jocelyn LaroucheManual testing1092008710920087---0.316--4.597%
2015-11-11T07:14:51Jocelyn LaroucheManual testing1143531011435310---0.331--4.656%
2015-11-13T21:44:05Jocelyn LaroucheManual testing1195053311950533---0.346--4.712%
2015-11-18T17:18:41Jocelyn LaroucheManual testing1246575612465756---0.361--4.767%
2015-11-28T13:12:12Sid & AndyBullseye988964129668923012---0.739--8.947%
2016-08-23T22:09:48Jocelyn LaroucheManual testing1371233159337846012---1.312--10.049%
2022-11-15T04:56:08Jocelyn LaroucheManual testing1533778114789624850---23.76--14.443%
2022-12-03T10:52:51lycornsupernova100000000200260295235041135.4563,1620.0296,32522.945%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-12-23T00:00:00ANONYMOUSv4_computers253254--0.002--
2000-05-24T00:00:00ANONYMOUSv4_computers21255--0.007--
2000-05-31T00:00:00ANONYMOUSv4_computers21255--0.007--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.013--
2001-10-25T00:00:00ANONYMOUSv4_computers21257--0.026--
2003-09-21T00:00:00ANONYMOUSv4_computers21258--0.053--
2008-10-13T21:32:00Sturle Sundeklughardt.ifi258259--0.053--
2008-10-13T22:11:00Sturle Sundeklughardt.ifi259260--0.106--
2010-06-18T23:30:00Architects Cubedm1_f2260261--0.212--
2015-03-02T16:35:00NRManual testing261262--0.423--
2015-10-15T14:45:16Gordon SpenceManual testing262263--1.353--
2015-10-15T14:45:16Gordon SpenceManual testing263264--2.705--
2016-04-26T11:42:39lycornManual testing264265--5.148--
2017-08-07T03:30:04Smok_bmvManual testing265266--10.30--
2020-05-10T23:13:35Gordon SpenceManual testing266267--20.59--
2022-03-27T22:20:12Gordon SpenceManual testing267268--41.19--


ECM factoring results:
Total ECM effort:15.568 GHz-days
Estimated T-Level:25.941
DigitsB1CompleteFacMiss
201100018.0780.000%
25500002.12911.899%
302500000.18882.852%
3510000000.01498.653%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002806.336
25000025000000586.562
2500002750000070.820
2500003650000070.921
2500003725000070.929


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-07T00:00:00ANONYMOUSv4_computersE5D00A60E295FC940.014
2015-04-11T15:45:00MadPooManual testingE5D00A60E295FC940.014


PRP results:
dateuseridcompidcofactorsres64PRP
2022-12-07T07:25:05LordJuliusWhiteBox
59731274813394699981429528239391708732703
70BBA00ECC524BFBno


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2002602952350 (P-1 stage 2)
B1 = 15337781, B2 = 14789624850 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 13712331, B2 = 593378460 (P-1 stage 2)
B1 = 9889641, B2 = 296689230 (P-1 stage 2)
B1 = 15337781 (P-1 stage 1)
B1 = 13712331 (P-1 stage 1)
B1 = 12465756 (P-1 stage 1)
B1 = 11950533 (P-1 stage 1)
B1 = 11435310 (P-1 stage 1)
B1 = 10920087 (P-1 stage 1)
B1 = 10404864 (P-1 stage 1)
B1 = 9889641 (P-1 stage 1)
B1 = 9374418 (P-1 stage 1)
B1 = 8859195 (P-1 stage 1)
B1 = 8343972 (P-1 stage 1)
B1 = 7117045 (P-1 stage 1)
B1 = 6470041 (P-1 stage 1)
B1 = 5881856 (P-1 stage 1)
B1 = 5347142 (P-1 stage 1)
B1 = 4861039 (P-1 stage 1)
B1 = 4419127 (P-1 stage 1)
B1 = 4017389 (P-1 stage 1)
B1 = 3652172 (P-1 stage 1)
B1 = 3320157 (P-1 stage 1)
B1 = 2743932 (P-1 stage 1)
B1 = 2494484 (P-1 stage 1)
B1 = 1510343 (P-1 stage 1)
B1 = 1006895 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 503447 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-07T07:25:05+00:00