is 2 2040193 - 1
has 614160 decimal digits
takes 0.134 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
Actual26714.564368.6567%500000150000000.12305.1353%14.687370.2663%1.6096%
PrimeNet2580.018863.7931%90001600000.00162.6632%0.020564.7574%0.9643%
GPU722620.301166.1290%90001200000.00141.3290%0.302666.5792%0.4501%
Difference+5+14.2631+2.5277%+491000+14880000+0.1216+3.8064%+14.3847+3.6871%+3.6871%

Known prime factors (2 factors, 61.0 bits, 0.00299117% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2040193571254041929.090140
22 × 5 × 7
-573.612e-114.871e-79.701e-7
204019341089487031031.9361007
19 × 53
2008-07-1519531.708e-101.988e-63.687e-6

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
204019323472535508504588231961.026
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:19:51alpertronManual testing5000001500000012-
skipped known factor: 571254041
skipped known factor: 4108948703
--0.123--5.135%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:49:00J FeitsmaManual testing??31.936103.05640e-110.2916.63595e-11


ECM factoring results:

Old Calculation Method

Total ECM effort:3.150 GHz-days
Estimated T-Level:1.700
DigitsB1CurvesCompleteFacMiss
201100034 / 1000.34071.055%
255000034 / 2800.12188.546%

New Calculation Method

Total ECM effort:3.150 GHz-days
Estimated T-Level:1.700
DigitsB1CompleteFacMiss
20110001.37525.284%
25500000.12788.043%
302500000.00899.195%


ECM Summary

B1B2factorcurvesGHz-days
500005000000131.102
50000674283770.677
50000675000070.678
50000706352170.693


Lucas-Lehmer results:
No L-L results for M2040193


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-06T05:59:22Oliver KruseGTX-0
571254041
4108948703
425AC9CB49BA8F__no
2017-11-14T22:51:09kkmrkkblmbrbkc4.xlarge
571254041
4108948703
425AC9CB49BA8F__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
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-29T22:20:07+00:00