is 2 5453557 - 1
has 1641685 decimal digits
takes 0.861 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC13E939379A36FBEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2675.448565.6716 %600009600000.02502.3267 %5.473566.4704 %
Target2662.708065.1515 %3400032500000.04792.1101 %2.755965.8868 %
Difference+1+2.7405+0.5201 %+26000-2290000-0.0229+0.2166%+2.7176+0.5835 %

Known prime factors (1 factor, 79.4 bits, 0.00145533% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
54535577796286702041069786782792479.36771478914606018327
312 × 74379723835607
2015-07-179617437972383560727,052927,9181,733,093

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-06-28ANONYMOUSv4_computers25000268750--0.0091.528%
2010-11-02Squeeky_SquirrelP4_2600600009600006--0.0282.633%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-23ANONYMOUSv4_computers212620.056
2009-05-09GrunwalderGIMPManual testing2622630.180
2014-12-30snme2pm1Manual testing2632640.360
2014-12-30monstManual testing2642650.685


ECM factoring results:
Total ECM effort:0.961 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.240
50000500000030.720


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-09-06ANONYMOUSv4_computersC13E939379A36FBE0.861
2000-08-10ANONYMOUSv4_computersC13E939379A36FBE0.861


PRP results:
dateuseridcompidcofactorsres64
2017-12-02kkmrkkblmbrbkc4.xlarge
779628670204106978678279
B8804866BB47D7D2
2018-06-26ATHec2-PRPCFDC
779628670204106978678279
B8804866BB47D7D2


CERT results:
No CERT results for M5453557


P-1 factor-bounds graph:
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 25000, B2 = 268750 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
101
102
103
104
105
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
265
264
263
262
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
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280
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Last modified: 2024-03-13T02:15:48+00:00