is 2 1792073 - 1
has 539468 decimal digits
takes 0.097 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD5058B6F80D10119double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.580868.6567%500000150000000.10155.0558%16.682270.2414%1.5847%
PrimeNet2570.010763.1579%80001400000.00122.8151%0.011964.1950%1.0371%
GPU722610.171465.5738%80001300000.00121.4937%0.172666.0880%0.5142%
Difference+6+16.4093+3.0829%+492000+14870000+0.1003+3.5621%+16.5097+4.1534%+4.1534%

Known prime factors (2 factors, 133.5 bits, 0.00744778% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
179207341136830744715186171961.8351147744281196
22 × 37 × 41 × 189147047
2016-06-03411891470470.18760.81061.5140
179207336653771092052133032572271.6341022664006769036
22 × 29 × 8816069023871
2009-07-11298816069023871267.7037,78370,569

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
17920731507819977569282910348385011795974223556941133.470
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:34:44alpertronManual testing5000001500000012---0.101--5.056%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-25T00:00:00ANONYMOUSv4_computers21258--0.021--
2022-03-08T23:06:27LordJuliusManual testing258261--0.150--
2022-03-09T03:44:01LordJuliusManual testing21261--0.171--
2016-06-03T15:39:50TJAOIManual testing261262*61.835190.0160.1970.033


ECM factoring results:

Old Calculation Method

Total ECM effort:17.709 GHz-days
Estimated T-Level:24.589
DigitsB1CurvesCompleteFacMiss
2011000257 / 1002.5707.555%
2550000257 / 2800.91839.872%

New Calculation Method

Total ECM effort:17.709 GHz-days
Estimated T-Level:24.589
DigitsB1CompleteFacMiss
20110009.8850.005%
25500000.91540.068%
302500000.05894.394%
3510000000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000025717.71


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21T00:00:00ANONYMOUSv4_computersD5058B6F80D101190.097


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T16:40:25Oliver KruseGTX-0
4113683074471518617
3665377109205213303257
5A9A0C26AE6C57C0no
2017-10-05T21:07:13Oliver KruseManual testing
4113683074471518617
3665377109205213303257
5A9A0C26AE6C57__no
2017-11-11T02:50:55kkmrkkblmbrbkc4.xlarge
4113683074471518617
3665377109205213303257
5A9A0C26AE6C57__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
262
261
258
250
260
270
280
290
2100
Last modified: 2022-03-09T03:44:01+00:00