is 2 1481113 - 1
has 445860 decimal digits
takes 0.057 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
Actual26720.061968.6567%500000150000000.07144.9408%20.133370.2053%1.5486%
PrimeNet2570.013063.1579%60001000000.00062.2807%0.013663.9982%0.8403%
GPU722610.207465.5738%6000500000.00050.9452%0.207965.8992%0.3254%
Difference+6+19.8545+3.0829%+494000+14950000+0.0710+3.9956%+19.9254+4.3061%+4.3061%

Known prime factors (3 factors, 160.1 bits, 0.01080654% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14811136861107861211239.320231620
22 × 5 × 37 × 313
-373135.608e-82.881e-64.169e-6
1481113578135278639211445.71619516920
23 × 3 × 5 × 162641
2008-09-3081626414.562e-60.00050.0009
1481113383300328820635824335032375.02112939604500825927
33 × 53 × 3907 × 2314397531
2018-10-063907231439753110,1626.981013.038

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1481113396664850511431752234404412685.036
14811132629864899275642382415622953781186335114.341
1481113221599442405219107624130359461534526337120.737
1481113152041767632620144965242185519135764100676349482349160.057
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:14:54alpertronManual testing5000001500000012-
skipped known factor: 686110786121
skipped known factor: 57813527863921
--0.071--4.941%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T13:29:00markrManual testing??45.716141.39738e-60.1283.15816e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:26.547 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:26.547 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.39024.916%
302500000.11689.004%
3510000000.00899.198%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024811.78
50000500000030.143
250000400000005014.62


Lucas-Lehmer results:
No L-L results for M1481113


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T06:26:45Oliver KruseGTX-1
686110786121
57813527863921
3788A2F80084C8__no
2017-10-28T13:29:40kkmrkkblmbrbkold
686110786121
57813527863921
3788A2F80084C8__no
2018-10-06T11:47:00Oliver KruseGTX-2
686110786121
57813527863921
38330032882063582433503
670E0809A9945C__no
2018-10-07T08:45:33pewlaptop
686110786121
57813527863921
38330032882063582433503
670E0809A9945C__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2022-04-21T11:50:00+00:00