is 2 2777581 - 1
has 836136 decimal digits
takes 0.215 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.697867.1642 %400000957933900.62696.9902 %11.324669.4595 %
Target2630.574665.0794 %1500012000000.00891.7472 %0.583565.6895 %
Difference+4+10.1232+2.0848 %+385000+94593390+0.6179+5.2431%+10.7411+3.7700 %

Known prime factors (2 factors, 95.7 bits, 0.00344609% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2777581133323889926.99024
23 × 3
-883.235e-128.959e-71.823e-6
27775814887536513342283128812168.72887981889877240
23 × 5 × 23 × 347 × 3739 × 73709
2018-04-2637397370934.9690.00080.0009

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-11-10Kevin_9611Factor_140000095793390
skipped known factor: 133323889
skipped known factor: 488753651334228312881
--0.6919.976%


Trial Factoring results:
5758596061626364656667
No TF results for M2777581


ECM factoring results:
Total ECM effort:0.414 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.312
50000500000010.101


Lucas-Lehmer results:
No L-L results for M2777581


PRP results:
dateuseridcompidcofactorsres64
2017-10-21alpertronlaptop2
133323889
B829923BD3A35FDE
2017-11-15Oliver KruseThreadripper-PC
133323889
B829923BD3A35FDE
2018-04-26ATHec2-PRPCF
133323889
488753651334228312881
B829923BD3A35FDE


CERT results:
No CERT results for M2777581


P-1 factor-bounds graph:
B1 = 400000, B2 = 95793390 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00