is 2 213739567 - 1
has 64342021 decimal digits
takes 2,006.777 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2670.139058.2090%----0.139058.2090%0.0000%
PrimeNet27535.800162.6667%8000005000000047.38385.4676%83.184064.7079%2.0413%
GPU72279572.814864.5570%13000005000000053.81994.0337%626.634765.9866%1.4297%
Difference-12-572.6758-6.3480%-1300000-50000000-53.8199-4.0337%-626.4957-7.7777%-7.7777%

Known prime factors (2 factors, 134.0 bits, 0.00006271% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2137395671108495815392335612072166.587259309923509
7 × 13 × 19 × 73 × 317 × 6481
2013-01-1131764810.07410.00890.0090
2137395672009844283285697225592167.446470161961937
32 × 9157 × 5704949
2022-08-05915757049490.19894.34947.9032

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2137395672227903977612403310971910397528553516871341134.033
P-1 results:
No P-1 results for M213739567


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2013-01-11T11:59:00america64Manual testing??66.587210.0054,1220.010
2011-05-24T03:10:00tscc02264265--0.017--
2012-05-14T23:32:00america64Manual testing265266--0.035--
TF assumed completed to 67 but no detailed record exists
2022-08-05T09:34:19TJAOIManual testing267268*67.446210.0604,1220.123


ECM factoring results:
No ECM results for M213739567


Lucas-Lehmer results:
No L-L results for M213739567


PRP results:
No PRP results for M213739567


P-1 factor-bounds graph:
101
102
103
104
101
102
103
104
105
106
107
TF factor-bounds graph:
268
267
266
265
2
250
260
270
280
290
2100
Last modified: 2022-08-05T09:34:19+00:00