is 2 5721013 - 1
has 1722197 decimal digits
takes 0.903 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L33E3D4A2956A7B26double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2675.193865.6716 %10000020000000.04663.0824 %5.240466.7298 %
Target2662.581465.1515 %3600040000000.05772.2730 %2.639165.9436 %
Difference+1+2.6124+0.5201 %+64000-2000000-0.0111+0.8094%+2.6013+0.7862 %

Known prime factors (1 factor, 76.2 bits, 0.00133154% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5721013854703317858498030620012376.1787469859951887000
23 × 53 × 71 × 827 × 2089 × 60899
2011-02-102089608994,666.90.00120.0014

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-08-31ANONYMOUSv4_computers2000020000--0.0050.451%
2011-02-10USAFSSP4_26002376.1780.0170.000%
2023-05-12This -Anonymous-Manual testing10000020000006
skipped known factor: 85470331785849803062001
--0.0523.456%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-15ANONYMOUSv4_computers212620.054
2009-04-05GrunwalderGIMPManual testing2622630.172


ECM factoring results:
No ECM results for M5721013


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-28mhoneyv4_computers33E3D4A2956A7B260.903
2000-09-29ANONYMOUSv4_computers33E3D4A2956A7B260.903


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
85470331785849803062001
D21831A43483757E
2018-07-25treborLaptop
85470331785849803062001
D21831A43483757E


CERT results:
No CERT results for M5721013


P-1 factor-bounds graph:
B1 = 100000, B2 = 2000000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
107
TF factor-bounds graph:
263
262
this exponent TF target: 66
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00