is 2 2678017 - 1
has 806164 decimal digits
takes 0.207 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
Actual26711.095567.1642 %2000000600000000.57797.7012 %11.673469.6929 %
Target2630.596065.0794 %1300011000000.00811.6221 %0.604165.6458 %
Difference+4+10.4995+2.0848 %+1987000+58900000+0.5698+6.0791%+11.0693+4.0471 %

Known prime factors (2 factors, 111.9 bits, 0.00417963% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26780171789290278391237.38133407
11 × 3037
-1130376.837e-91.970e-53.463e-5
2678017276690153974123310090712374.5515165952157400855
5 × 12841 × 80460278131
2018-04-0512841804602781311,428.6490.94916.94

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2019-07-04alpertronManual testing20000006000000012
skipped known factor: 178929027839
---10.632%


Trial Factoring results:
5758596061626364656667
No TF results for M2678017


ECM factoring results:
Total ECM effort:0.411 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.310
50000500000010.101


Lucas-Lehmer results:
No L-L results for M2678017


PRP results:
dateuseridcompidcofactorsres64
2017-10-18Oliver KruseGTX-1
178929027839
B02DBF4942F8C202
2017-12-03kkmrkkblmbrbkc4.xlarge
178929027839
B02DBF4942F8C202
2018-04-06BattlemaxxWork
178929027839
27669015397412331009071
B02DBF4942F8C202


CERT results:
No CERT results for M2678017


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.77 ~= -14-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00