is 2 131933 - 1
has 39716 decimal digits
takes 0.000 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
Actual267225.219873.1343%10000000020000000000.942711.9640%226.162476.3485%3.2142%
PrimeNet2400.000055.0000%1400280000.00009.7601%0.000059.3920%4.3920%
GPU722440.000059.0909%2200400000.00006.3710%0.000061.6972%2.6063%
Difference+23+225.2197+14.0434%+99997800+1999960000+0.9427+5.5931%+226.1624+14.6513%+14.6513%

Known prime factors (1 factor, 58.3 bits, 0.04417400% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1319333499893975989326071858.2801326390658891
53 × 25026238847
2007-10-0453250262388470.35356.315611.796

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.011--4.429%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.382%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.012%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.771%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.646%
2017-03-23T22:27:30kkmrkkblmbrbkManual testing100000000200000000012---0.943--11.964%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22T00:00:00ANONYMOUSv4_computers252253--0.005--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.018--
2022-03-07T03:14:46LordJuliusManual testing254255--0.018--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.073--
2002-06-15T00:00:00ANONYMOUSv4_computers21257--0.146--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.692 GHz-days
Estimated T-Level:29.914
DigitsB1CurvesCompleteFacMiss
2011000895 / 1008.9500.012%
2550000895 / 2803.1964.067%
30250000629 / 6400.98337.397%
35100000045 / 15660.02997.166%

New Calculation Method

Total ECM effort:13.692 GHz-days
Estimated T-Level:29.914
DigitsB1CompleteFacMiss
201100070.8220.000%
255000010.6720.002%
302500001.20030.122%
3510000000.10989.708%
4030000000.00899.175%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002660.891
250000250000005849.79
1000000100000000453.016


Lucas-Lehmer results:
No L-L results for M131933


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T22:03:55Oliver KruseDoppelherz
349989397598932607
D3B9D982E697DA__no
2017-09-22T10:01:12Oliver KruseManual testing
349989397598932607
D3B9D982E697DA__no
2017-10-13T20:51:20kkmrkkblmbrbkManual testing
349989397598932607
D3B9D982E697DA__no
2020-04-17T15:38:44Oliver KruseAddPrpType5
349989397598932607
C8C88D47E802F2__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T03:14:46+00:00