is 2 3181163 - 1
has 957626 decimal digits
takes 0.271 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
Actual26818.736867.6471%10500001164471000.90557.5098%19.642370.0767%2.4297%
PrimeNet2600.048363.3333%130002400000.00312.6546%0.051464.3067%0.9734%
GPU722641.118965.6250%150002600000.00351.5830%1.122466.1692%0.5442%
Difference+4+17.6179+2.0221%+1035000+116187100+0.9020+5.9268%+18.5199+3.9076%+3.9076%

Known prime factors (3 factors, 132.4 bits, 0.00416317% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
318116382710239826.30213
13
-1132.818e-122.041e-72.512e-7
318116319811010698811340.849311380
22 × 5 × 15569
2008-09-305155696.438e-80.00010.0002
3181163449855714988623804472065.2867070617176621
3 × 53 × 15607 × 2849317
2018-08-181560728493173.03630.02100.0358

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
31811631638573429730132115592167.151
318116337207673702224957148802968332891.588
31811638912096382560448267793415501680732106.136
3181163737121621792610108176329398770315598687340132.437
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-12-28T03:20:48Jocelyn LaroucheManual testing31811631811636-
skipped known factor: 82710239
skipped known factor: 1981101069881
skipped known factor: 44985571498862380447
--0.059--3.356%
2022-01-07T17:30:05Jocelyn LaroucheManual testing1050000116447100-
skipped known factor: 82710239
skipped known factor: 1981101069881
skipped known factor: 44985571498862380447
--0.905--7.510%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:46:00markrManual testing??40.849131.83381e-80.5984.05021e-8
2021-09-13T11:19:39Jocelyn LaroucheManual testing267268--9.396--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.352 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.352 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.352


Lucas-Lehmer results:
No L-L results for M3181163


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-01T03:12:01Oliver KruseGTX-1
82710239
1981101069881
ECC76C7ED16DFA__no
2017-12-12T22:31:38kkmrkkblmbrbkc4.xlarge
82710239
1981101069881
ECC76C7ED16DFA__no
2018-08-20T16:56:25Oliver KruseGTX-1
82710239
1981101069881
44985571498862380447
ECC76C7ED16DFA__no


P-1 factor-bounds graph:
B1 = 1050000, B2 = 116447100 (P-1 stage 2)
B1 = 1050000 (P-1 stage 1)
B1 = 318116, B2 = 3181163 (P-1 stage 2)
B1 = 318116 (P-1 stage 1)
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TF factor-bounds graph:
268
2
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2100
Last modified: 2022-01-07T17:30:05+00:00