is 2 3468281 - 1
has 1044057 decimal digits
takes 0.364 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.185767.6471%13055891116423001.11437.7033%18.300070.1393%2.4923%
PrimeNet2600.044363.3333%150002800000.00452.9041%0.048864.3982%1.0648%
GPU722641.026365.6250%190003600000.00571.8856%1.032066.2732%0.6482%
Difference+4+16.1595+2.0221%+1286589+111282300+1.1086+5.8177%+17.2681+3.8661%+3.8661%

Known prime factors (1 factor, 36.7 bits, 0.00105902% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34682811139538405371236.73016428
22 × 3 × 372
-136913694.107e-90.00020.0004

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-18T10:49:30Jocelyn LaroucheManual testing34682834682816-
skipped known factor: 113953840537
--0.079--3.501%
2022-01-06T11:34:46Jocelyn LaroucheManual testing1305589111642300-
skipped known factor: 113953840537
--1.114--7.703%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-02-28T12:18:16Jocelyn LaroucheManual testing265266--2.155--
2022-05-20T15:54:44gLaussManual testing266267--4.309--
2022-05-20T00:17:29LordJuliusManual testing266267--4.309--
2021-06-02T11:00:40Jocelyn LaroucheManual testing267268--8.618--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.441 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.441 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.441


Lucas-Lehmer results:
No L-L results for M3468281


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-06T18:00:59kkmrkkblmbrbkc4.xlarge
113953840537
7B56F3B05870C5__no
2017-11-23T02:02:09Oliver KruseThreadripper
113953840537
7B56F3B05870C5__no


P-1 factor-bounds graph:
B1 = 1305589, B2 = 111642300 (P-1 stage 2)
B1 = 1305589 (P-1 stage 1)
B1 = 346828, B2 = 3468281 (P-1 stage 2)
B1 = 346828 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
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109
TF factor-bounds graph:
268
267
266
230
240
250
260
270
280
290
2100
Last modified: 2022-05-20T15:54:44+00:00