is 2 1528333 - 1
has 460075 decimal digits
takes 0.068 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
Actual26719.442068.6567 %500000150000000.08354.9596 %19.525670.2112 %
Target2610.201065.5738 %65002750000.00141.0139 %0.202465.9228 %
Difference+6+19.2411+3.0829 %+493500+14725000+0.0822+3.9456%+19.3232+4.2884 %

Known prime factors (3 factors, 134.1 bits, 0.00877651% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
15283339169999723.1283
3
-137.317e-137.182e-81.318e-7
152833382529983826.29827
33
2008-07-1527275.884e-121.749e-63.559e-6
1528333315854224645016306752863372684.70710333292045811230496
25 × 3 × 73 × 11 × 133 × 7529 × 1724699
2015-03-26752917246994,614,2840.00650.0114

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-03-26alpertronManual testing500000150000001222684.7070.0848.694%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-15J FeitsmaManual testing??
26.298
8


ECM factoring results:
Total ECM effort:31.163 GHz-days
Estimated T-Level:25.710
DigitsB1CompleteFacMiss
201100015.1770.000%
25500001.69718.316%
302500000.14286.761%
3510000000.01099.038%


ECM Summary

B1B2factorcurvesGHz-days
50000500000027515.35
250000400000004615.81


Lucas-Lehmer results:
No L-L results for M1528333


PRP results:
dateuseridcompidcofactorsres64
2017-10-01Oliver KruseGTX-2
9169999
82529983
31585422464501630675286337
62FBB086976C2AF4
2017-10-05Oliver KruseManual testing
9169999
82529983
31585422464501630675286337
62FBB086976C2AF4
2017-11-10kkmrkkblmbrbkc4.xlarge
9169999
82529983
31585422464501630675286337
62FBB086976C2AF4


CERT results:
No CERT results for M1528333


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
107
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