is 2 2126431 - 1
has 640120 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDBA9A9135317E63Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.973667.1642%500000150000000.12305.1609%14.096668.8588%1.6946%
PrimeNet2580.018162.0690%90001600000.00162.6841%0.019763.0871%1.0181%
GPU722620.288964.5161%100001400000.00161.4550%0.290565.0324%0.5163%
Difference+5+13.6847+2.6481%+490000+14860000+0.1214+3.7059%+13.8061+3.8264%+3.8264%

Known prime factors (1 factor, 69.7 bits, 0.00328006% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21264319915483484743264792172169.748233148488823368
23 × 16987 × 1715639083
2008-12-17169871715639083104.448.913016.644

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.278%
2016-03-16T12:13:23alpertronManual testing5000001500000012---0.123--5.161%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.137 GHz-days
Estimated T-Level:1.200
DigitsB1CurvesCompleteFacMiss
201100024 / 1000.24078.568%
255000024 / 2800.08691.772%

New Calculation Method

Total ECM effort:2.137 GHz-days
Estimated T-Level:1.200
DigitsB1CompleteFacMiss
20110000.94538.883%
25500000.08891.609%
302500000.00699.447%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000100.852
50000560000070.626
50000626494270.658


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26T00:00:00ANONYMOUSv4_computersDBA9A9135317E63A0.140


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-08T13:47:49Oliver KruseGTX-1
991548348474326479217
77B7AB07148868__no
2017-11-17T21:37:19kkmrkkblmbrbkc4.xlarge
991548348474326479217
77B7AB07148868__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
250
260
270
280
290
2100
Last modified: 2022-06-26T04:22:41+00:00