is 2 2195467 - 1
has 660902 decimal digits
takes 0.144 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3E605A5D4213A2D6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.534267.1642%500000150000000.12305.1808%13.657268.8653%1.7012%
PrimeNet2580.017562.0690%100001800000.00182.8620%0.019363.1546%1.0856%
GPU722620.279864.5161%110001600000.00181.5710%0.281765.0736%0.5574%
Difference+5+13.2544+2.6481%+489000+14840000+0.1212+3.6098%+13.3755+3.7918%+3.7918%

Known prime factors (1 factor, 66.3 bits, 0.00302150% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2195467931389946147126735272066.33621211658980689
3 × 997 × 7091828479
2008-12-23997709182847911.07236.83768.801

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.280%
2016-03-29T11:23:54alpertronManual testing5000001500000012---0.123--5.181%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.017--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.455 GHz-days
Estimated T-Level:0.850
DigitsB1CurvesCompleteFacMiss
201100017 / 1000.17084.294%
255000017 / 2800.06194.099%

New Calculation Method

Total ECM effort:1.455 GHz-days
Estimated T-Level:0.850
DigitsB1CompleteFacMiss
20110000.65452.004%
25500000.06094.130%
302500000.00499.619%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000171.455


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computers3E605A5D4213A2D60.144


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-09T17:16:56Oliver Kruse
93138994614712673527
07FAC8218420C9__no
2017-11-19T18:53:29kkmrkkblmbrbkc4.xlarge
93138994614712673527
07FAC8218420C9__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
250
260
270
280
290
2100
Last modified: 2022-07-07T23:10:48+00:00