is 2 2013001 - 1
has 605974 decimal digits
takes 0.132 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
Actual26714.761068.6567%500000150000000.12305.1270%14.884070.2637%1.6070%
PrimeNet2580.019163.7931%90001500000.00162.6102%0.020764.7382%0.9451%
GPU722620.305266.1290%80001200000.00131.2724%0.306566.5600%0.4310%
Difference+5+14.4558+2.5277%+492000+14880000+0.1216+3.8547%+14.5774+3.7037%+3.7037%

Known prime factors (3 factors, 139.7 bits, 0.00693817% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
201300136556098171031.767908
22 × 227
-42271.700e-101.540e-62.171e-6
201300141991200871031.9671043
7 × 149
2008-07-1571491.742e-101.405e-61.405e-6
2013001720085886826771952127592375.93117885880007679379
3 × 5961960002559793
2019-05-18359619600025597936,844.830,967,91157,839,433

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2013001153503446127990940792063.735
201300126323530369670985266178720405510333107.698
201300130237271117395067935471655559003333107.898
2013001110535665136039969812292106586735086215396143139.665
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:19:32alpertronManual testing5000001500000012-
skipped known factor: 3655609817
skipped known factor: 4199120087
--0.123--5.127%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:49:00J FeitsmaManual testing??31.967103.20842e-110.2886.97961e-11


ECM factoring results:

Old Calculation Method

Total ECM effort:3.130 GHz-days
Estimated T-Level:1.700
DigitsB1CurvesCompleteFacMiss
201100034 / 1000.34071.055%
255000034 / 2800.12188.546%

New Calculation Method

Total ECM effort:3.130 GHz-days
Estimated T-Level:1.700
DigitsB1CompleteFacMiss
20110001.14331.870%
25500000.10490.090%
302500000.00699.357%


ECM Summary

B1B2factorcurvesGHz-days
500005000000100.846
50000500000030.254
500006750000212.029


Lucas-Lehmer results:
No L-L results for M2013001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T22:01:40Oliver KruseGTX-3
3655609817
4199120087
8FFB3CF5F470D1__no
2017-11-13T21:19:23Chang Chia-Tcheexbpc13
3655609817
4199120087
8FFB3CF5F470D1__no
2019-05-21T11:27:59vnatinVIR7-1261
3655609817
4199120087
72008588682677195212759
40EE1C161E61C136no
2019-05-21T11:37:55ATHec2-PRPCFDC
3655609817
4199120087
72008588682677195212759
40EE1C161E61C136no


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
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109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2022-04-21T11:29:11+00:00