is 2 1813319 - 1
has 545864 decimal digits
takes 0.098 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
Actual26716.386568.6567 %500000150000000.10155.0630 %16.488070.2436 %
Target2610.169465.5738 %90006500000.00351.5567 %0.172966.1097 %
Difference+6+16.2171+3.0829 %+491000+14350000+0.0980+3.5063%+16.3151+4.1339 %

Known prime factors (1 factor, 21.8 bits, 0.00120168% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18133193626639721.7901
1
-111.541e-137.866e-81.601e-7

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012
skipped known factor: 3626639
---8.856%


Trial Factoring results:
5758596061626364656667
No TF results for M1813319


ECM factoring results:
Total ECM effort:39.247 GHz-days
Estimated T-Level:25.710
DigitsB1CompleteFacMiss
201100015.2220.000%
25500001.69318.394%
302500000.14286.755%
3510000000.01099.037%


ECM Summary

B1B2factorcurvesGHz-days
500005000000402.760
50000650000021816.83
250000400000004619.65


Lucas-Lehmer results:
No L-L results for M1813319


PRP results:
dateuseridcompidcofactorsres64
2017-10-03Oliver KruseGTX-0
3626639
D571C2A0C73F7F1F
2017-11-05kkmrkkblmbrbkc4.xlarge
3626639
D571C2A0C73F7F1F


CERT results:
No CERT results for M1813319


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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106
100
101
102
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104
105
106
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108
TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00