is 2 1378831 - 1
has 415070 decimal digits
takes 0.053 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L665689B02747EC5Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26721.550168.6567%31069001118490000.50008.2190%22.050171.2328%2.5761%
PrimeNet2560.007062.5000%65001100000.00072.7540%0.007663.5327%1.0327%
GPU722600.111465.0000%5500650000.00051.1706%0.111965.4097%0.4097%
Difference+7+21.4387+3.6567%+3101400+111784000+0.4995+7.0484%+21.9382+5.8231%+5.8231%

Known prime factors (2 factors, 170.1 bits, 0.01233679% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
137883129531631905892096530070892581.2891070893818963023624
23 × 23 × 59 × 1289 × 2791 × 27419771
2014-09-15279127419771487,7190.08290.1545
13788315444773357819833402787032892788.815197441650130430538724
22 × 17 × 311 × 331 × 611951 × 46091923
2014-09-156119514609192351,209,9120.17110.2597

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
137883116079304261414343677906375814174860781008844446157
21
52170.104
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers15000228750---0.001--0.814%
2014-04-15T00:10:00ANONYMOUSManual testing110000110000---0.006--0.898%
2014-04-16T21:18:00Jocelyn LaroucheManual testing120000120000---0.007--0.944%
2014-04-22T10:35:00Jocelyn LaroucheManual testing200000200000---0.011--1.243%
2014-09-15T15:11:00mikrMSI31069001118490001252170.1040.5000.1051.0008.219%
2016-03-17T19:05:33alpertronManual testing5000001500000012---0.071--4.898%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-03T00:00:00ANONYMOUSv4_computers21257--0.014--
2003-07-06T00:00:00ANONYMOUSv4_computers21258--0.028--
2022-03-07T17:32:39LordJuliusManual testing258260--0.084--
2009-02-24T01:31:00Sturle Sundefizir.ifi260261--0.111--
2012-09-26T19:26:00Grant McCrackenhome261262--0.223--
2013-01-23T08:21:00dbaughManual testing262263--0.712--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.297 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.297 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.35725.749%
302500000.11389.315%
3510000000.00899.236%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025111.78
250000350000005013.52


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-07T00:00:00ANONYMOUSv4_computers665689B02747EC5A0.053


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T11:48:59Oliver KruseGTX-1
2953163190589209653007089
544477335781983340278703289
B42131F578B2CFF2no
2017-10-05T21:17:20Oliver KruseManual testing
2953163190589209653007089
544477335781983340278703289
B42131F578B2CF__no
2017-10-24T15:57:10kkmrkkblmbrbkold
2953163190589209653007089
544477335781983340278703289
B42131F578B2CF__no


P-1 factor-bounds graph:
B1 = 3106900, B2 = 111849000 (P-1 stage 2)
B1 = 3106900 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
263
262
261
260
258
257
250
260
270
280
290
2100
Last modified: 2022-03-07T17:32:39+00:00