is 2 4698359 - 1
has 1414347 decimal digits
takes 0.619 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L31A8E25B53442F71double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.324365.6716 %30500080062500.13834.7517 %6.462767.3028 %
Target2651.552864.6154 %3000030000000.03662.2326 %1.589465.4054 %
Difference+2+4.7715+1.0563 %+275000+5006250+0.1017+2.5191%+4.8732+1.8974 %

Known prime factors (1 factor, 64.9 bits, 0.00138079% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4698359338236904843134116072064.8753599521714317
3 × 223 × 307 × 17525899
2013-10-03307175258990.75760.18240.3405

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-31Carsten Kossendeymother25000387500--0.0091.901%
2012-12-06Squeeky_Squirreli3-2120305000800625012--0.1385.796%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2002-09-14David Campeauv4_computers212610.033
2010-06-26markrut2612620.065
2011-12-11GrunwalderGIMPManual testing212630.340


ECM factoring results:
Total ECM effort:0.603 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.208
50000500000030.395


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-02-09ANONYMOUSv4_computers31A8E25B53442F710.619


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
33823690484313411607
04C826B012C21DC8
2018-03-08ATHec2-PRPCFDC
33823690484313411607
04C826B012C21DC8


CERT results:
No CERT results for M4698359


P-1 factor-bounds graph:
B1 = 305000, B2 = 8006250 (P-1 stage 2)
B1 = 305000 (P-1 stage 1)
B1 = 25000, B2 = 387500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
263
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00