is 2 139199 - 1
has 41904 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-L046DFEF32D2E7B1Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267213.463673.1343%10000000020000000000.942712.0109%214.406376.3611%3.2268%
PrimeNet2400.000055.0000%1500300000.000010.1260%0.000059.5567%4.5567%
GPU722440.000059.0909%2400450000.00006.7520%0.000061.8531%2.7622%
Difference+23+213.4636+14.0434%+99997600+1999955000+0.9427+5.2589%+214.4062+14.5081%+14.5081%

Known prime factors (1 factor, 104.5 bits, 0.07507702% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1391992881235057815947613416579660919932104.506103493382057915201022154601
3 × 13 × 17159 × 923051 × 1950703 × 85889317
2009-01-021950703858893171.026e+120.03020.0405

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.011--4.457%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.396%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.030%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.793%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.672%
2017-03-30T11:39:53kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 28812350578159476134165796609199
--0.943--12.011%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-07T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.017--
2022-03-07T03:17:45LordJuliusManual testing254255--0.017--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.069--
2002-06-29T00:00:00ANONYMOUSv4_computers21257--0.138--
2022-03-07T03:17:45LordJuliusManual testing257258--0.138--
2008-12-31T03:51:00Sturle Sundegimba.ifi258259--0.276--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.001 GHz-days
Estimated T-Level:29.867
DigitsB1CurvesCompleteFacMiss
2011000889 / 1008.8900.013%
2550000889 / 2803.1754.156%
30250000623 / 6400.97337.749%
35100000033 / 15660.02197.914%

New Calculation Method

Total ECM effort:13.001 GHz-days
Estimated T-Level:29.867
DigitsB1CompleteFacMiss
201100069.3670.000%
255000010.3560.003%
302500001.14731.747%
3510000000.10290.331%
4030000000.00899.247%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002660.892
250000250000005909.90
1000000100000000332.214


Lucas-Lehmer results:
No L-L results for M139199


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T22:42:46Oliver KruseOllaptop
28812350578159476134165796609199
2C920A6B1C6C8C__no
2017-09-22T10:01:47Oliver KruseManual testing
28812350578159476134165796609199
2C920A6B1C6C8C__no
2017-10-13T20:51:46kkmrkkblmbrbkManual testing
28812350578159476134165796609199
2C920A6B1C6C8C__no
2020-04-17T15:41:12Oliver KruseAddPrpType5
28812350578159476134165796609199
336E87FDF74B56__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)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
259
258
257
256
255
254
253
250
260
270
280
290
2100
2110
Last modified: 2022-03-07T03:17:45+00:00