is 2 2231371 - 1
has 671710 decimal digits
takes 0.147 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
Actual26713.316467.1642%10000001060000000.64077.7360%13.957269.7044%2.5402%
PrimeNet2580.017262.0690%100001800000.00182.8705%0.019063.1578%1.0888%
GPU722620.275364.5161%110001800000.00191.6316%0.277365.0951%0.5789%
Difference+5+13.0411+2.6481%+989000+105820000+0.6388+6.1045%+13.6799+4.6093%+4.6093%

Known prime factors (2 factors, 92.0 bits, 0.00412182% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2231371160658713927.25936
22 × 32
-998.076e-128.580e-71.746e-6
2231371302533719636483302092064.7146779099478224
24 × 83 × 5104743583
2017-12-278351047435832.263526.51549.523

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
223137148604678035900235159769610172891.973
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-04-12T11:51:44alpertronManual testing5000001500000012-
skipped known factor: 160658713
--0.123--5.191%
2021-06-30T06:04:57Dylan Delgadolaptop-ryzen737001000000106000000-
skipped known factor: 160658713
--0.641--7.736%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2017-12-27T15:33:34TJAOIManual testing264265*64.714200.6680.2981.359


ECM factoring results:

Old Calculation Method

Total ECM effort:0.952 GHz-days
Estimated T-Level:0.500
DigitsB1CurvesCompleteFacMiss
201100010 / 1000.10090.438%
255000010 / 2800.03696.485%

New Calculation Method

Total ECM effort:0.952 GHz-days
Estimated T-Level:0.500
DigitsB1CompleteFacMiss
20110000.40766.561%
25500000.03896.300%
302500000.00299.761%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.257
50000689651070.694


Lucas-Lehmer results:
No L-L results for M2231371


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-10T09:18:34Oliver KruseGTX-3
160658713
39923F74BF4BF4__no
2017-11-20T13:33:20kkmrkkblmbrbkc4.xlarge
160658713
39923F74BF4BF4__no
2017-12-29T21:44:34Oliver KruseGTX-2
160658713
30253371963648330209
1D71F3A08F81E1__no
2017-12-30T09:31:03kkmrkkblmbrbkc4.xlarge
160658713
30253371963648330209
1D71F3A08F81E1__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 106000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
265
220
230
240
250
260
270
280
290
2100
Last modified: 2022-06-09T11:54:55+00:00