is 2 1394273 - 1
has 419718 decimal digits
takes 0.053 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
Actual26721.311468.6567%500000150000000.07144.9048%21.382870.1940%1.5373%
PrimeNet2560.006962.5000%65001100000.00072.7600%0.007663.5350%1.0350%
GPU722600.110265.0000%6000650000.00051.2113%0.110765.4239%0.4239%
Difference+7+21.2012+3.6567%+494000+14935000+0.0709+3.6935%+21.2722+4.7701%+4.7701%

Known prime factors (3 factors, 163.0 bits, 0.01169219% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
139427319519823824.2187
7
-171.605e-127.346e-81.127e-7
1394273574259801292940220632065.63820593520827447
29 × 710121407843
2018-08-16297101214078438.30342,141.94,000.5
1394273105834537712987153509432373.1643795330531143727
32 × 29 × 28663 × 507326389
2018-12-21286635073263891,611.61.53172.8580

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
139427311209449677253364256278548492889.857
13942732065871443444334037777902430893097.383
139427360776520596990190717798235788838102985540942138.803
13942731186346924609102855547664512310385145933529927260750163.021
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:13:43alpertronManual testing5000001500000012-
skipped known factor: 19519823
--0.071--4.905%


Trial Factoring results:
No TF results for M1394273


ECM factoring results:

Old Calculation Method

Total ECM effort:25.348 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:25.348 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.35725.749%
302500000.11389.315%
3510000000.00899.236%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001014.749
50000500000010.047
5000050000001497.006
250000350000005013.55


Lucas-Lehmer results:
No L-L results for M1394273


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T14:40:32Oliver KruseGTX-3
19519823
DC16BD328E90E1__no
2017-10-25T15:23:46Chang Chia-Tchehomura
19519823
DC16BD328E90E1__no
2018-08-19T23:34:24Oliver KruseGTX-3
19519823
57425980129294022063
F2109070F24B0A__no
2018-08-22T12:25:57Chang Chia-Tcheexbpc13
19519823
57425980129294022063
F2109070F24B0A__no
2018-12-21T18:35:50Oliver KruseGTX-2
19519823
57425980129294022063
10583453771298715350943
F2109070F24B0AABno


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
1011
1012
TF factor-bounds graph:
267
220
230
240
250
260
270
280
290
2100
Last modified: 2021-08-20T12:32:44+00:00