is 2 313000001 - 1
has 94222389 decimal digits
takes 4,470.031 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
Actual2670.094956.7164 %1000000100000020.70785.1598 %20.802758.9498 %
Target280782.321363.7500 %1900000400000000488.48874.3752 %1,270.810065.3360 %
Difference-13-782.2263-7.0336 %-900000-399000000-467.7809+0.7846%-1,250.0073-6.3862 %

Known prime factors (3 factors, 152.5 bits, 0.00004873% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
313000001870140002791136.341139
139
-11392.925e-110.00020.0003
31300000176380063124025771652.76212201288
23 × 3 × 11 × 113 × 409
2014-08-231134091.917e-60.00270.0048
313000001124083798394893859432063.42819821692971
53 × 373994207
2017-02-16533739942070.0051421.95788.08

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-02-04Joerg Dittmarc41000000100000012789.10320.711.292%


Trial Factoring results:
575859606162636465666768697071727374757677787980
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-08-23TJAOIManual testing??
52.762
16
2.48731e-6
2017-02-16TJAOIManual testing263264*
63.428
20
0.003


ECM factoring results:
No ECM results for M313000001


Lucas-Lehmer results:
No L-L results for M313000001


PRP results:
No PRP results for M313000001


CERT results:
No CERT results for M313000001


P-1 factor-bounds graph:
B1 = 1000000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 80
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00