is 2 193 - 1
has 59 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 PRP tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPF3747E54262F8DFCPRP-tested
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actualunknown----0.00000.0000%
Target2440.012181.8182%500500000.00000.3458%0.012181.8811%
Difference-44-0.0121-81.8182%-500-500000.0000-0.3458%-0.0121-81.8811%

Known prime factors (3 factors, 193.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19313821503823.72035807
61 × 587		-615871.014e-81.322e-91.830e-9
193616544402332483406165592375.707159726529101679638903
32 × 7 × 1394711 × 1817825866271		-1394711181782586627169,022,8411.46002.7269
193
hide decimal representation
14732265321145317331353282383
2993.573

1 Composite Factors:
P-1 results:
No P-1 results for M193


Trial Factoring results:
No TF results for M193


ECM factoring results:
No ECM results for M193


Lucas-Lehmer results:
No L-L results for M193


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-24Luke_Richardswork-laptopF3747E54262F8DFCno
2018-01-24-p95holder- @bopoh13Lucius_Yorkfield
13821503
61654440233248340616559
PRP


P-1 factor-bounds graph:
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101
102
103
104
105
106
107
100
101
102
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104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.9
250
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280
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Last modified: 2023-10-02T12:12:48+00:00