is 2 13121 - 1
has 3950 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
Actualunknown1000000391036620975060.925958.8382%60.925958.8382%58.8382%
PrimeNet2400.000065.0000%500100000.00003.3080%0.000066.1578%1.1578%
GPU722440.000268.1818%500100000.00001.3732%0.000268.6188%0.4369%
Difference-44-0.0002-68.1818%+999500+3910366199750+60.9259+57.4650%+60.9258-9.7805%-9.7805%

Known prime factors (2 factors, 170.8 bits, 1.30161709% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1312188837980751511343.014338533575
3 × 52 × 4513781
-2545137810.00017.033e-50.0001
1312129031047909754607443736260504079631052739127.77111062818348355539762112743123267903
3 × 11 × 17 × 164890111 × 54255232721 × 2204279588033
2021-09-135425523272122042795880331.017e+1349.01464.145

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1312125790596754029444356541780759784533132880250784145
77
52170.785
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-05T23:25:56Jocelyn LaroucheManual testing10000003910366209750-
skipped known factor: 8883798075151
--60.93--48.954%


Trial Factoring results:
No TF results for M13121


ECM factoring results:

Old Calculation Method

Total ECM effort:25.825 GHz-days
Estimated T-Level:36.405
DigitsB1CurvesCompleteFacMiss
20110003451 / 10034.5100.000%
25500003451 / 28012.3250.000%
302500003303 / 6405.1610.571%
3510000002742 / 15801.73517.623%
4030000001321 / 47000.28175.496%

New Calculation Method

Total ECM effort:25.825 GHz-days
Estimated T-Level:36.405
DigitsB1CompleteFacMiss
2011000518.8910.000%
2550000110.7570.000%
3025000019.3130.000%
3510000002.7486.403%
4030000000.32872.036%
45110000000.03496.653%
50440000000.00399.686%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001480.030
250000250000005510.567
50000050000000100.021
10000001000000001,4215.848
30000003000000003213.963
30000005280000006379.81
30000005280000003635.589


Lucas-Lehmer results:
No L-L results for M13121


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:10:26Oliver KruseOliver-PC
8883798075151
8CE135D75B37B5__no
2017-09-21T19:22:05Oliver KruseManual testing
8883798075151
8CE135D75B37B5__no
2017-10-12T16:01:13kkmrkkblmbrbkManual testing
8883798075151
8CE135D75B37B5__no
2020-04-17T13:47:11Oliver KruseManual testing
8883798075151
88DD75E8482DCD__no
2021-09-13T20:13:57nordisweet16
8883798075151
290310479097546074437362605040796310527
88DD75E8482DCDAEno
2021-09-13T20:48:35SRJ2877LTOS
8883798075151
290310479097546074437362605040796310527
88DD75E8482DCDAEno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 3910366209750 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-05T23:25:56+00:00