is 2 1957147 - 1
has 589160 decimal digits
takes 0.106 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
Actual26715.182368.6567%500000150000000.10155.1097%15.283770.2583%1.6016%
PrimeNet2580.019663.7931%80001400000.00122.4685%0.020864.6869%0.8938%
GPU722620.313966.1290%8000900000.00101.1540%0.314966.5199%0.3909%
Difference+5+14.8684+2.5277%+492000+14910000+0.1005+3.9557%+14.9688+3.7384%+3.7384%

Known prime factors (3 factors, 154.7 bits, 0.00790309% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1957147724144391929.432185
5 × 37
-5373.801e-115.305e-78.005e-7
195714712245477349611340.155312840
23 × 32 × 5 × 11 × 79
2008-07-1511791.283e-71.157e-61.761e-6
1957147411195205303022898164824092685.08810504964760005837532
22 × 3 × 307 × 3853 × 4889 × 151375619
2021-08-0248891513756196,561,8300.64911.2117

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
19571478867493737837627537512169.587
19571472977647015262774870506215582751791935114.520
19571475035281572806400655940531030545080104938125.243
19571473646270908053413163898056375330669430609026615947154.675
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:19:18alpertronManual testing5000001500000012-
skipped known factor: 724144391
skipped known factor: 1224547734961
--0.101--5.110%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:48:00J FeitsmaManual testing??40.155135.34579e-80.2351.18514e-7


ECM factoring results:

Old Calculation Method

Total ECM effort:3.132 GHz-days
Estimated T-Level:2.250
DigitsB1CurvesCompleteFacMiss
201100045 / 1000.45063.619%
255000045 / 2800.16185.129%

New Calculation Method

Total ECM effort:3.132 GHz-days
Estimated T-Level:2.250
DigitsB1CompleteFacMiss
20110001.45223.419%
25500000.13187.705%
302500000.00899.195%


ECM Summary

B1B2factorcurvesGHz-days
500005000000281.949
500005000000171.183


Lucas-Lehmer results:
No L-L results for M1957147


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T07:14:57Oliver KruseGTX-2
724144391
1224547734961
A9F2632AE74EE1__no
2017-11-11T21:54:04Chang Chia-Tcheexbpc13
724144391
1224547734961
A9F2632AE74EE1__no
2021-08-03T05:59:28SRJ2877LTOS
724144391
1224547734961
41119520530302289816482409
6D6EB12EB16EE1BCno


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
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-09T21:42:45+00:00