is 2 3191561 - 1
has 960756 decimal digits
takes 0.272 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
Actual26818.675867.6471%10574681199121000.92977.5502%19.605470.0898%2.4427%
PrimeNet2600.048163.3333%130002400000.00312.6562%0.051364.3073%0.9739%
GPU722641.115265.6250%160002600000.00361.6149%1.118866.1801%0.5551%
Difference+4+17.5605+2.0221%+1041468+119652100+0.9260+5.9353%+18.4866+3.9096%+3.9096%

Known prime factors (2 factors, 121.1 bits, 0.00379440% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31915616774207969868731549.267106126876
22 × 23 × 1153553
-2311535532.785e-50.00780.0145
319156142080192679524874129672271.834659241554203803
3 × 4157 × 52861964093
2018-08-23415752861964093208.27355.43663.85

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3191561285059976623249191249416097242898219137121.101
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-08-26T13:57:03Jocelyn LaroucheManual testing319156319156---0.039--1.579%
2020-08-28T01:16:51Jocelyn LaroucheManual testing31915631915616-
skipped known factor: 677420796986873
--0.059--3.361%
2022-01-11T13:35:11Jocelyn LaroucheManual testing1057468119912100-
skipped known factor: 677420796986873
--0.930--7.550%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2021-09-27T01:02:14Jocelyn LaroucheManual testing267268--9.366--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.235 GHz-days
Estimated T-Level:0.100
DigitsB1CurvesCompleteFacMiss
20110002 / 1000.02098.010%
25500002 / 2800.00799.287%

New Calculation Method

Total ECM effort:0.235 GHz-days
Estimated T-Level:0.100
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.235


Lucas-Lehmer results:
No L-L results for M3191561


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-01T08:54:49Oliver KruseGTX-0
677420796986873
3072CD48AC6828__no
2017-12-13T01:41:11kkmrkkblmbrbkc4.xlarge
677420796986873
3072CD48AC6828__no
2018-08-27T03:51:48Oliver KruseGTX-5
677420796986873
4208019267952487412967
3072CD48AC6828__no


P-1 factor-bounds graph:
B1 = 1057468, B2 = 119912100 (P-1 stage 2)
B1 = 1057468 (P-1 stage 1)
B1 = 319156, B2 = 3191561 (P-1 stage 2)
B1 = 319156 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
240
250
260
270
280
290
2100
Last modified: 2022-01-11T13:35:11+00:00