is 2 6526141 - 1
has 1964565 decimal digits
takes 1.223 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L70F533B68A57D06Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2674.553165.6716 %7500012937500.03842.6929 %4.591566.5961 %
Target2674.553165.6716 %3600040000000.06852.0383 %4.621566.3714 %
Difference---+39000-2706250-0.0300+0.6546%-0.0300+0.2247 %

Known prime factors (1 factor, 68.8 bits, 0.00105472% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
65261415255477898165342859212168.83240264820344560
24 × 3 × 5 × 72 × 3423879281
2017-02-0249342387928117.46150.69794.689

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-07-29smintheusv4_computers30000405000--0.0141.622%
2012-04-13kurlysmile7500012937506--0.0382.693%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-29ANONYMOUSv4_computers212620.047
2002-12-09David Campeauv4_computers212630.150
2014-07-20NesowaManual testing2632640.301
2014-07-26lycornManual testing2642650.573
2015-10-29snme2pm1Manual testing2652661.145
2016-04-22Gordon SpenceManual testing2662672.290


ECM factoring results:
Total ECM effort:1.140 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.855
50000500000010.285


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10Joel Armengaudv4_computers70F533B68A57D06E1.223
2001-12-08ANONYMOUSv4_computers70F533B68A57D06E1.223


PRP results:
dateuseridcompidcofactorsres64
2017-12-23Chun sung sooTae-Hee_Lee
525547789816534285921
4F2C58BD653ED5BB
2018-10-05ATHec2-PRPCFDC
525547789816534285921
4F2C58BD653ED5BB


CERT results:
No CERT results for M6526141


P-1 factor-bounds graph:
B1 = 75000, B2 = 1293750 (P-1 stage 2)
B1 = 75000 (P-1 stage 1)
B1 = 30000, B2 = 405000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00