is 2 1847359 - 1
has 556111 decimal digits
takes 0.100 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
Actual26716.084568.6567 %500000150000000.10155.0743 %16.186070.2472 %
Target2610.166365.5738 %90007500000.00391.6305 %0.170266.1351 %
Difference+6+15.9183+3.0829 %+491000+14250000+0.0976+3.4439%+16.0158+4.1121 %

Known prime factors (4 factors, 211.9 bits, 0.01146873% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
184735918473591824.1395
5
-151.211e-129.581e-81.601e-7
184735916663215127191340.600451001
607 × 743
2008-07-156077431.284e-74.833e-59.718e-5
184735989579707740982031163132272.9242424534368820084
22 × 32 × 491 × 64283 × 2133773
2015-08-29642832133773567.440.01390.0171
1847359217926742707837202696972374.2065898332232875072
26 × 103 × 397351 × 2251841
2015-08-2939735122518412,273.60.03920.0636

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-08-29alpertronManual testing5000001500000012245147.1300.1018.874%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-15J FeitsmaManual testing??
40.600
13


ECM factoring results:
Total ECM effort:39.034 GHz-days
Estimated T-Level:25.703
DigitsB1CompleteFacMiss
201100015.1040.000%
25500001.68018.638%
302500000.14186.884%
3510000000.01099.049%


ECM Summary

B1B2factorcurvesGHz-days
500005000000362.489
50000660000022017.15
84000840000010.116
250000400000004519.28


Lucas-Lehmer results:
No L-L results for M1847359


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
18473591
1666321512719
8957970774098203116313
21792674270783720269697
F9EBEFF67D82DAC5
2017-10-20Oliver KruseThreadripper-PC
18473591
1666321512719
8957970774098203116313
21792674270783720269697
F9EBEFF67D82DAC5


CERT results:
No CERT results for M1847359


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
TF factor-bounds graph:
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00