is 2 133087 - 1
has 40064 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L640C42246A658907double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267223.266973.1343%10000000020000000000.942711.9716%224.209576.3506%3.2163%
PrimeNet2400.000055.0000%1500280000.00009.8912%0.000059.4510%4.4510%
GPU722440.000059.0909%2400450000.00006.6951%0.000061.8298%2.7389%
Difference+23+223.2668+14.0434%+99997600+1999955000+0.9427+5.2766%+224.2095+14.5208%+14.5208%

Known prime factors (1 factor, 64.4 bits, 0.04839003% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
133087243546784307479100572064.40191499088681644
22 × 7 × 23 × 733 × 193832647
2008-12-3073319383264730.6580.04890.0914

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.011--4.433%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.385%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.015%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.774%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.650%
2017-04-10T00:59:05kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 24354678430747910057
--0.943--11.972%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-30T00:00:00ANONYMOUSv4_computers252253--0.005--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.018--
2022-03-07T03:14:48LordJuliusManual testing254255--0.018--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.072--
2002-06-15T00:00:00ANONYMOUSv4_computers21257--0.144--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.493 GHz-days
Estimated T-Level:29.891
DigitsB1CurvesCompleteFacMiss
2011000892 / 1008.9200.013%
2550000892 / 2803.1864.111%
30250000626 / 6400.97837.573%
35100000042 / 15660.02797.353%

New Calculation Method

Total ECM effort:13.493 GHz-days
Estimated T-Level:29.891
DigitsB1CompleteFacMiss
201100070.3220.000%
255000010.5720.003%
302500001.18430.592%
3510000000.10789.881%
4030000000.00899.194%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002660.892
250000250000005849.79
1000000100000000422.815


Lucas-Lehmer results:
No L-L results for M133087


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T22:06:13Oliver KruseOliver-PC
24354678430747910057
476B48FCB37EE7__no
2017-09-21T22:18:46Oliver KruseManual testing
24354678430747910057
476B48FCB37EE7__no
2017-10-13T20:51:24kkmrkkblmbrbkManual testing
24354678430747910057
476B48FCB37EE7__no
2020-04-17T15:41:08Oliver KruseAddPrpType5
24354678430747910057
25B2DE22DAD9D2__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)
101
102
103
104
105
106
107
108
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T03:14:48+00:00