is 2 157411 - 1
has 47386 decimal digits
takes 0.001 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
Actual267188.766573.1343%10000000020000000000.975512.1189%189.741976.3901%3.2558%
PrimeNet2400.000055.0000%1700360000.000010.9776%0.000059.9399%4.9399%
GPU722440.000059.0909%2800550000.00007.4747%0.000062.1487%3.0578%
Difference+23+188.7664+14.0434%+99997200+1999945000+0.9754+4.6442%+189.7419+14.2414%+14.2414%

Known prime factors (2 factors, 143.3 bits, 0.09104348% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
157411582869493473340409512065.660185142554673225
3 × 52 × 101 × 24441261343
2008-01-251012444126134354.2096.382611.921
1574112375624257402707123856312477.653754592835762020165
5 × 263 × 573834856092791
2016-04-08263573834856092791368,904149,851279,879

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1574111384678907595296356950502653539570065797508144143.312
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers10000010000000---0.003--2.528%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.428%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.071%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.844%
2003-10-08T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.732%
2016-12-25T01:34:24kkmrkkblmbrbkManual testing100000000200000000012---0.975--12.119%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-04T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.015--
2022-03-07T03:54:04LordJuliusManual testing254255--0.015--
2001-01-08T00:00:00ANONYMOUSv4_computers21256--0.061--
2002-07-14T00:00:00ANONYMOUSv4_computers21257--0.122--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.052 GHz-days
Estimated T-Level:29.773
DigitsB1CurvesCompleteFacMiss
2011000885 / 1008.8500.014%
2550000885 / 2803.1614.216%
30250000611 / 6400.95538.465%
3510000009 / 15660.00699.427%

New Calculation Method

Total ECM effort:12.052 GHz-days
Estimated T-Level:29.773
DigitsB1CompleteFacMiss
201100066.7660.000%
25500009.7540.006%
302500001.04435.200%
3510000000.08891.580%
4030000000.00699.393%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002270.790
500005000000470.164
2500002500000060210.47
100000010000000090.626


Lucas-Lehmer results:
No L-L results for M157411


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T23:30:42Oliver KruseOllaptop6BFE651B36A406__?
2017-09-22T10:03:12Oliver KruseManual testing6BFE651B36A406__?
2017-10-11T23:12:30kkmrkkblmbrbkc4.xlarge6BFE651B36A406__no
2020-04-17T17:48:43Oliver KruseAddPrpType5
58286949347334040951
237562425740270712385631
72C9C09E4DCACD__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (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 = 100000 (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
1011
1012
1013
1014
1015
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T03:54:04+00:00