is 2 2954137 - 1
has 889284 decimal digits
takes 0.251 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEED31C1196767F52double-checked
PRPA5CA29BFE0738B08verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.176767.6471%1072681220000000.27315.6814%20.449869.4852%1.8381%
PrimeNet2600.052063.3333%120002200000.00292.5080%0.054964.2529%0.9196%
GPU722641.204965.6250%120002000000.00271.3470%1.207666.0880%0.4630%
Difference+4+18.9719+2.0221%+1060681+21800000+0.2703+4.3344%+19.2422+3.3971%+3.3971%

Known prime factors (1 factor, 79.2 bits, 0.00268222% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29541377121450995933048807724632479.237120533526304518863
229 × 52501 × 10025471447
2021-03-22525011002547144781,48167.415125.90

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.247%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.146%
2010-11-02T11:51:00markrtiny950001995000---0.024--2.457%
2014-11-12T02:17:00Jocelyn LaroucheManual testing116727116727---0.014--0.928%
2015-01-26T18:12:00Jocelyn LaroucheManual testing141238141238---0.017--1.032%
2015-01-31T14:55:00Jocelyn LaroucheManual testing170897170897---0.021--1.144%
2015-02-01T13:32:00Jocelyn LaroucheManual testing187986187986---0.023--1.202%
2015-02-04T23:01:00Jocelyn LaroucheManual testing413568413568---0.051--1.755%
2015-02-25T03:47:00Jocelyn LaroucheManual testing454924454924---0.056--1.830%
2015-03-02T13:10:00Jocelyn LaroucheManual testing500416500416---0.062--1.907%
2015-03-12T10:39:00Jocelyn LaroucheManual testing550457550457---0.068--1.986%
2015-03-14T11:30:00Jocelyn LaroucheManual testing605502605502---0.075--2.067%
2015-03-29T20:50:00Jocelyn LaroucheManual testing732657732657---0.090--2.234%
2015-04-08T16:59:00Jocelyn LaroucheManual testing805922805922---0.099--2.320%
2015-05-01T17:21:00Jocelyn LaroucheManual testing975165975165---0.120--2.498%
2015-05-08T13:54:00VictordeHollanderManual testing100000020000000---0.251--5.545%
2016-09-05T18:36:02Jocelyn Larouchelow4M10726812200000012---0.273--5.681%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21260--0.052--
2009-02-13T22:59:00Sturle Sundeakerman.ifi260261--0.052--
2011-12-18T08:33:00markroldgamer261262--0.104--
2013-01-07T13:49:00dbaughManual testing262263--0.332--
2015-04-27T09:54:00VictordeHollanderManual testing263264--0.665--
2015-04-27T09:54:00VictordeHollanderManual testing264265--1.265--
2016-02-26T10:03:32ramgeisManual testing265266--2.530--
2017-11-28T10:01:37Gordon SpenceManual testing266267--5.059--
2018-12-24T00:53:33chuenkitManual testing267268--10.12--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.066 GHz-days
Estimated T-Level:3.050
DigitsB1CurvesCompleteFacMiss
201100061 / 1000.61054.169%
255000061 / 2800.21880.393%

New Calculation Method

Total ECM effort:7.066 GHz-days
Estimated T-Level:3.050
DigitsB1CompleteFacMiss
20110001.96813.977%
25500000.17883.707%
302500000.01198.911%


ECM Summary

B1B2factorcurvesGHz-days
500005000000606.950
50000500000010.116


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computersEED31C1196767F520.251
2018-10-13T06:06:19kkmrkkblmbrbkoldEED31C1196767F520.251


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-23T05:19:11Krieselmartin
712145099593304880772463
A5CA29BFE0738B08no


P-1 factor-bounds graph:
B1 = 1072681, B2 = 22000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1072681 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 975165 (P-1 stage 1)
B1 = 805922 (P-1 stage 1)
B1 = 732657 (P-1 stage 1)
B1 = 605502 (P-1 stage 1)
B1 = 550457 (P-1 stage 1)
B1 = 500416 (P-1 stage 1)
B1 = 454924 (P-1 stage 1)
B1 = 413568 (P-1 stage 1)
B1 = 95000, B2 = 1995000 (P-1 stage 2)
B1 = 187986 (P-1 stage 1)
B1 = 170897 (P-1 stage 1)
B1 = 141238 (P-1 stage 1)
B1 = 116727 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-03-23T05:19:11+00:00