is 2 8188913 - 1
has 2465109 decimal digits
takes 2.138 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
Actual2687.278766.1765%----7.278766.1765%0.0000%
PrimeNet2630.194963.4921%360009000000.03153.6190%0.226464.8133%1.3212%
GPU722673.628665.6716%5500013000000.04652.6259%3.675166.5731%0.9014%
Difference+1+3.6502+0.5048%-55000-1300000-0.0465-2.6259%+3.6037-0.3966%-0.9014%

Known prime factors (3 factors, 157.7 bits, 0.00192632% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
81889131739078143583931547.30510618492
22 × 19 × 31 × 4507
-3145073.148e-60.00010.0002
818891340529017463367191651.848247462743
3 × 11 × 7498871
2008-09-081174988714.998e-50.15470.2889
81889134343945075103168311858.59226523331455
3 × 5 × 491 × 3601267
2015-09-1649136012670.00860.07450.1387

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
81889137048312845147329247971217325673099.153
81889137554459937040973325676241401258332105.897
8188913176055825808764208154745329901748934110.440
818891330617483871464141060713164903125628995382093517748157.745
P-1 results:
No P-1 results for M8188913


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T04:26:00Will EdgingtonManual testing??51.848161.33447e-54.5452.83673e-5
2015-09-16T11:45:00TJAOIManual testing258259*58.592180.0044.5360.008
2022-09-25T22:56:46JayderManual testing2126447.305153.14786e-64.5456.69162e-6
2022-09-25T22:56:46JayderManual testing2126451.848164.99773e-54.5450.000
2022-09-25T22:56:46JayderManual testing2126458.592180.0094.5360.018
2022-09-25T04:32:53LordJuliusManual testing2126447.305153.14786e-64.5456.69162e-6
2022-09-25T04:32:53LordJuliusManual testing2126451.848164.99773e-54.5450.000
2022-09-25T04:32:53LordJuliusManual testing2126458.592180.0094.5360.018
2022-09-25T22:56:46JayderManual testing264265--0.456--
2022-09-25T04:32:53LordJuliusManual testing264265--0.456--
2022-09-25T22:56:46JayderManual testing265266--0.913--
2022-09-25T04:32:53LordJuliusManual testing265266--0.913--
2022-09-25T22:56:46JayderManual testing266267--1.825--
2022-09-25T04:32:53LordJuliusManual testing266267--1.825--
2022-09-22T06:09:29FlaukrotistManual testing267268--3.650--


ECM factoring results:
No ECM results for M8188913


Lucas-Lehmer results:
No L-L results for M8188913


PRP results:
dateuseridcompidcofactorsres64PRP
2018-07-11T17:06:01kkmrkkblmbrbkc5.large
173907814358393
4052901746336719
434394507510316831
C7CDEBE7E7BED3__no
2020-03-03T15:37:47arnaudstm-11-010
173907814358393
4052901746336719
434394507510316831
C7CDEBE7E7BED3DDno


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
TF factor-bounds graph:
268
267
266
265
264
259
2
240
250
260
270
280
290
2100
Last modified: 2022-09-25T22:56:46+00:00