is 2 3401591 - 1
has 1023981 decimal digits
takes 0.357 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6C3789FAA1257FDDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.522667.6471%11338631116423001.08967.5782%18.612270.0988%2.4518%
PrimeNet2600.045263.3333%140002800000.00432.8474%0.049564.3774%1.0441%
GPU722641.046465.6250%190003200000.00541.8194%1.051866.2504%0.6254%
Difference+4+16.4763+2.0221%+1114863+111322300+1.0842+5.7589%+17.5605+3.8484%+3.8484%

Known prime factors (1 factor, 61.9 bits, 0.00181874% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
340159142025405743642692091961.866617731610644
22 × 383 × 5171 × 77977
2009-06-145171779770.16540.00140.0016

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-12-21T17:15:59Jocelyn LaroucheManual testing34015934015916-
skipped known factor: 4202540574364269209
--0.077--3.468%
2022-01-06T22:05:10Jocelyn LaroucheManual testing1133863111642300-
skipped known factor: 4202540574364269209
--1.090--7.578%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-25T05:53:00S485122USB-A260261--0.045--
2022-04-24T18:52:35LordJuliusManual testing2126261.866190.1650.7260.336
2022-04-24T18:52:35LordJuliusManual testing262263--0.289--
2022-04-24T18:52:35LordJuliusManual testing263264--0.577--
2022-04-24T18:52:35LordJuliusManual testing264265--1.098--
2022-04-24T18:52:35LordJuliusManual testing265266--2.197--
2022-04-24T18:52:35LordJuliusManual testing266267--4.394--
2021-07-13T11:23:40Jocelyn LaroucheManual testing267268--8.787--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.440 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.440 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.440


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers6C3789FAA1257FDD0.357


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-05T16:01:26kkmrkkblmbrbkc4.xlarge
4202540574364269209
FBC3F6E7A11023__no
2017-11-21T06:38:45Oliver KruseGTX-3
4202540574364269209
FBC3F6E7A11023__no


P-1 factor-bounds graph:
B1 = 1133863, B2 = 111642300 (P-1 stage 2)
B1 = 1133863 (P-1 stage 1)
B1 = 340159, B2 = 3401591 (P-1 stage 2)
B1 = 340159 (P-1 stage 1)
102
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104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
Last modified: 2022-04-24T18:52:35+00:00