is 2 8134589 - 1
has 2448756 decimal digits
takes 2.124 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDB23DE7BCBC6EC16double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2687.327366.1765%21500053750000.18784.0552%7.515267.5481%1.3716%
PrimeNet2630.196263.4921%360009000000.03153.6153%0.227764.8119%1.3199%
GPU722673.652865.6716%5500013000000.04652.6231%3.699366.5721%0.9005%
Difference+1+3.6746+0.5048%+160000+4075000+0.1413+1.4321%+3.8159+0.9760%+0.9760%

Known prime factors (1 factor, 64.2 bits, 0.00078926% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8134589212379712817972443272064.2031305411452367
3 × 11 × 43 × 919951693
2014-01-02439199516930.631118.97735.443

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-08-10T00:00:00ANONYMOUSv4_computers40000310000---0.021--1.454%
2012-09-23T15:26:00James Heinrichi7-9202150005375000---0.188--4.055%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-06T00:00:00ANONYMOUSv4_computers21263--0.196--
2013-09-20T19:01:00AxelssonManual testing263264--0.241--
2014-01-02T21:19:00David CampeauManual testing26426564.203200.1944.3220.394
2022-06-24T02:43:27LordJuliusManual testing26426564.203200.1944.3220.394
2022-06-22T16:49:28LordJuliusManual testing265266--0.919--
2022-06-22T16:49:28LordJuliusManual testing266267--1.837--
2022-04-23T08:22:29FlaukrotistManual testing267268--3.675--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.191 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:1.191 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-07-25T00:00:00curtiscv4_computersDB23DE7BCBC6EC162.124
2002-10-19T00:00:00ANONYMOUSv4_computersDB23DE7BCBC6EC162.124


PRP results:
dateuseridcompidcofactorsres64PRP
2018-08-21T16:41:44ATHwork200558
21237971281797244327
C9E6AA41C66EDC__no
2020-02-17T06:14:48Luigi Morelli9800X
21237971281797244327
C9E6AA41C66EDCCFno


P-1 factor-bounds graph:
B1 = 215000, B2 = 5375000 (P-1 stage 2)
B1 = 215000 (P-1 stage 1)
B1 = 40000, B2 = 310000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
250
260
270
280
290
2100
Last modified: 2022-06-24T02:43:27+00:00