is 2 709 - 1
has 214 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-
PRPD07B519E27700B25PRP-tested
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26741,909.615785.0746 %----41,909.615785.0746 %
Target2440.003377.2727 %500500000.00000.5400 %0.003377.3955 %
Difference+23+41,909.6124+7.8019 %-500-500000.0000-0.5400 %+41,909.6124+7.6792 %

Known prime factors (3 factors, 709.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
709216868921927.692152940
22 × 3 × 5 × 2549
2001-03-17525492.784e-82.117e-93.817e-9
70913916462212550979531960.271981414824580464
24 × 23 × 109 × 24466863397
2001-03-1710924466863397410.000.01970.0367
709
click to show decimal representation
187621.0362001-03-17

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-03-17ANONYMOUSv4_computers2787.964-0.000%
2001-11-10ANONYMOUSv4_computers2787.964-0.000%


Trial Factoring results:
5758596061626364656667
No TF results for M709


ECM factoring results:
No ECM results for M709


Lucas-Lehmer results:
No L-L results for M709


PRP results:
dateuseridcompidcofactorsres64
2018-01-24Luke_Richardswork-laptopD07B519E27700B25


CERT results:
No CERT results for M709


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00