is 2 124991 - 1
has 37627 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-LF190A70BE983E88Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267237.728574.6269%10000000020000000000.770511.9169%238.499077.6506%3.0237%
PrimeNet2400.000057.5000%1400260000.00009.5023%0.000061.5385%4.0385%
GPU722440.000061.3636%2000360000.00006.0084%0.000063.6851%2.3214%
Difference+23+237.7284+13.2632%+99998000+1999964000+0.7705+5.9085%+238.4990+13.9655%+13.9655%

Known prime factors (1 factor, 70.5 bits, 0.05643501% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12499117149823709844913456092270.5396860423434425244
22 × 149 × 313 × 971 × 37873993
2008-12-23971378739932,832.70.00780.0146

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-03-18T00:00:00ANONYMOUSv4_computers100000025000000---0.009--4.400%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.369%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--1.995%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.749%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.006--3.620%
2017-03-12T00:34:09kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 1714982370984491345609
--0.771--11.917%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22T00:00:00ANONYMOUSv4_computers252253--0.005--
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.019--
2022-03-07T03:14:01LordJuliusManual testing254255--0.019--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.077--
2002-06-02T00:00:00ANONYMOUSv4_computers21257--0.154--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.866 GHz-days
Estimated T-Level:30.182
DigitsB1CurvesCompleteFacMiss
2011000917 / 1009.1700.010%
2550000917 / 2803.2753.760%
30250000641 / 6401.00236.702%
35100000057 / 15660.03696.424%

New Calculation Method

Total ECM effort:11.866 GHz-days
Estimated T-Level:30.182
DigitsB1CompleteFacMiss
201100073.2060.000%
255000011.1080.001%
302500001.26428.252%
3510000000.11689.011%
4030000000.00999.097%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002760.755
250000250000005847.991
1000000100000000573.120


Lucas-Lehmer results:
No L-L results for M124991


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T21:40:07Oliver KruseOliver-PC
1714982370984491345609
96A43CFD3B6C2E__no
2017-09-21T21:57:25Oliver KruseManual testing
1714982370984491345609
96A43CFD3B6C2E__no
2017-10-13T19:02:16kkmrkkblmbrbkManual testing
1714982370984491345609
96A43CFD3B6C2E__no
2020-04-17T15:36:03Oliver KruseAddPrpType5
1714982370984491345609
A301DBA6F82206__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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1010
TF factor-bounds graph:
267
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255
254
253
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2100
Last modified: 2022-03-07T03:14:01+00:00