is 2 4251809 - 1
has 1279923 decimal digits
takes 0.530 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0D6B3FCB378A56FCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2676.988565.6716%550009762500.01902.2034%7.007666.4280%0.7564%
PrimeNet2610.072262.2951%180003600000.00662.9202%0.078963.3961%1.1010%
GPU722651.715964.6154%240004500000.00851.9235%1.724465.2960%0.6806%
Difference+2+5.2726+1.0563%+31000+526250+0.0105+0.2799%+5.2831+1.1320%+1.1320%

Known prime factors (1 factor, 74.6 bits, 0.00175566% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4251809295819684700296525906632374.6473478750864635459
3 × 7 × 173 × 189583 × 5050781
2013-02-1618958350507811,550.20.08220.0929

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-31T00:00:00ANONYMOUSv4_computers15000101250---0.004--0.781%
2009-11-09T19:50:00harleeP4_260055000976250---0.019--2.203%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-23T00:00:00ANONYMOUSv4_computers21260--0.036--
1998-06-07T00:00:00ANONYMOUSv4_computers21261--0.072--
2011-01-09T02:29:00markroldgamer261262--0.072--
2012-01-31T04:36:00GrunwalderGIMPManual testing21263--0.375--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.547 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.547 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.547


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-04T00:00:00ANONYMOUSv4_computers042053D1619289__0.530
2000-01-19T00:00:00ANONYMOUSv4_computers0D6B3FCB378A56FC0.530
2000-12-31T00:00:00ANONYMOUSv4_computers0D6B3FCB378A56FC0.530


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:18:08kkmrkkblmbrbkManual testing
29581968470029652590663
CF81CE7588DC88__no
2018-01-22T09:17:55ATHec2-1xf
29581968470029652590663
CF81CE7588DC88__no


P-1 factor-bounds graph:
B1 = 55000, B2 = 976250 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 101250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
TF factor-bounds graph:
267
263
262
261
260
250
260
270
280
290
2100
Last modified: 2018-01-22T09:17:55+00:00