is 2 1840781 - 1
has 554131 decimal digits
takes 0.100 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
Actual26716.142068.6567%500000150000000.10155.0722%16.243570.2465%1.5898%
PrimeNet2570.010463.1579%80001500000.00122.8823%0.011764.2198%1.0619%
GPU722610.166965.5738%90001400000.00131.5965%0.168166.1234%0.5496%
Difference+6+15.9751+3.0829%+491000+14860000+0.1002+3.4757%+16.0753+4.1231%+4.1231%

Known prime factors (3 factors, 133.3 bits, 0.00724164% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
184078111044687823.3973
3
-136.075e-138.723e-81.601e-7
18407817056376254171239.360191668
22 × 47917
2008-07-154479175.915e-80.00020.0004
184078117233926537982498349512270.546468114526876975
52 × 11 × 349 × 11927 × 408943
2015-08-2011927408943131.360.00260.0033

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
184078177935467081540094791962.757
1840781190343324393010305748354553372993.943
1840781121609069988729897932533581254956734109.906
18407811343134114386615250206780521950063950052941133.303
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2015-08-20T11:36:00alpertronManual testing50000015000000122270.5460.0390.2000.0795.072%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:47:00J FeitsmaManual testing??39.360121.93591e-80.2134.13879e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:19.231 GHz-days
Estimated T-Level:24.464
DigitsB1CurvesCompleteFacMiss
2011000250 / 1002.5008.106%
2550000250 / 2800.89340.883%

New Calculation Method

Total ECM effort:19.231 GHz-days
Estimated T-Level:24.464
DigitsB1CompleteFacMiss
201100010.3240.003%
25500000.95038.672%
302500000.06094.148%
3510000000.00399.717%


ECM Summary

B1B2factorcurvesGHz-days
500005000000292.004
50000660000021416.68
50000675000070.551


Lucas-Lehmer results:
No L-L results for M1840781


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T04:03:42Oliver KruseGTX-0
11044687
705637625417
1723392653798249834951
EA89242CD1749BCFno
2017-10-05T21:07:28Oliver KruseManual testing
11044687
705637625417
1723392653798249834951
EA89242CD1749B__no
2017-11-11T04:19:14kkmrkkblmbrbkc4.xlarge
11044687
705637625417
1723392653798249834951
EA89242CD1749B__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: 2021-05-21T15:33:05+00:00