is 2 3146657 - 1
has 947239 decimal digits
takes 0.268 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
Actual26818.942367.6471%10000001199121000.92297.4934%19.865270.0714%2.4243%
PrimeNet2600.048863.3333%130002400000.00312.6493%0.051964.3048%0.9714%
GPU722641.131165.6250%150002400000.00341.5439%1.134566.1557%0.5307%
Difference+4+17.8111+2.0221%+985000+119672100+0.9196+5.9495%+18.7307+3.9157%+3.9157%

Known prime factors (2 factors, 82.0 bits, 0.00260567% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
314665716614348971030.630264
23 × 3 × 11
-8114.806e-111.007e-62.009e-6
314665728932299463255591651.362459730747
7 × 65675821
2014-06-257656758210.00020.44160.8248

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
314665748069131978707206456324232581.991
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-01-17T07:54:55Jocelyn LaroucheManual testing31466531466576-
skipped known factor: 1661434897
--0.058--3.338%
2022-02-12T07:46:46Jocelyn LaroucheManual testing1000000119912100-
skipped known factor: 1661434897
skipped known factor: 2893229946325559
--0.923--7.493%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-06-25T11:28:00TJAOIManual testing??51.362167.81443e-50.5920.000
2021-01-17T07:54:58Jocelyn LaroucheManual testing266267--4.750--
2021-09-21T11:06:30Jocelyn LaroucheManual testing267268--9.499--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.351 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.351 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.351


Lucas-Lehmer results:
No L-L results for M3146657


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-30T20:12:13Oliver KruseGTX-0
1661434897
2893229946325559
E4F73271B79FE5__no
2017-12-12T12:28:29kkmrkkblmbrbkc4.xlarge
1661434897
2893229946325559
E4F73271B79FE5__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 314665, B2 = 3146657 (P-1 stage 2)
B1 = 314665 (P-1 stage 1)
100
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102
103
104
105
106
100
101
102
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105
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108
109
TF factor-bounds graph:
268
267
2
230
240
250
260
270
280
290
2100
Last modified: 2022-02-12T07:46:46+00:00