is 2 223771021 - 1
has 67361790 decimal digits
takes 2,100.961 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
Actual2670.132858.2090%----0.132858.2090%0.0000%
PrimeNet27534.195362.6667%9000005500000052.37975.6590%86.574964.7794%2.1127%
GPU72279547.136064.5570%14000005500000058.81584.1619%605.951866.0321%1.4751%
Difference-12-547.0033-6.3480%-1400000-55000000-58.8158-4.1619%-605.8190-7.8231%-7.8231%

Known prime factors (2 factors, 133.5 bits, 0.00005965% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
223771021758939536705472884812066.041169579495440
24 × 32 × 5 × 4231 × 55667		2015-11-024231556670.09900.09580.1172
2237710212009810159868345673272167.446449077398603
3 × 41 × 1021 × 3575941		2022-08-05102135759410.15022.66554.9539

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2237710211525324391596434657761910514644068606028741133.486
P-1 results:
No P-1 results for M223771021


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2015-11-02T19:48:59tscsvn7??66.041200.0334,3090.068
2011-06-11T05:08:00Corbyguyhome264265--0.017--
2013-09-01T04:38:00HBendtzHAL9006265266--0.033--
TF assumed completed to 67 but no detailed record exists
2022-08-05T09:34:18TJAOIManual testing267268*67.446210.0174,3080.036


ECM factoring results:
No ECM results for M223771021


Lucas-Lehmer results:
No L-L results for M223771021


PRP results:
No PRP results for M223771021


P-1 factor-bounds graph:
102
103
104
102
103
104
105
106
107
TF factor-bounds graph:
268
267
266
265
2
250
260
270
280
290
2100
Last modified: 2022-08-05T09:34:18+00:00