is 2 1691219 - 1
has 509108 decimal digits
takes 0.080 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26717.569568.6567 %500000150000000.08805.0206 %17.657670.2303 %
Target2610.181665.5738 %70004500000.00211.2572 %0.183866.0066 %
Difference+6+17.3879+3.0829 %+493000+14550000+0.0859+3.7634%+17.4738+4.2238 %

Known prime factors (3 factors, 130.8 bits, 0.00773645% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
169121940589257825.27512
22 × 3
-442.650e-122.730e-75.555e-7
16912192110945731431237.61962409
3 × 71 × 293
2008-07-15712931.633e-85.670e-69.861e-6
16912192844167046418737456732167.94784086302436844
22 × 3 × 29 × 43 × 5619239671
2015-12-2343561923967134.41720.89239.020

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-17alpertronManual testing5000001500000012
skipped known factor: 40589257
skipped known factor: 211094573143
---8.790%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-15J FeitsmaManual testing??
37.619
12


ECM factoring results:
Total ECM effort:38.400 GHz-days
Estimated T-Level:25.719
DigitsB1CompleteFacMiss
201100014.9000.000%
25500001.69118.436%
302500000.14486.599%
3510000000.01099.010%


ECM Summary

B1B2factorcurvesGHz-days
10.068
50000500000026017.60
250000400000004920.73


Lucas-Lehmer results:
No L-L results for M1691219


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
211094573143
284416704641873745673
40589257
0738CE3DEE1E1AB1
2017-10-18Oliver KruseThreadripper-PC
40589257
211094573143
284416704641873745673
0738CE3DEE1E1AB1


CERT results:
No CERT results for M1691219


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
TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00