is 2 2136643 - 1
has 643194 decimal digits
takes 0.140 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
Actual26713.906867.1642 %500000150000000.12305.1639 %14.029868.8598 %
Target2620.287564.5161 %100007500000.00481.4871 %0.292365.0438 %
Difference+5+13.6193+2.6481 %+490000+14250000+0.1182+3.6768%+13.7375+3.8160 %

Known prime factors (1 factor, 31.0 bits, 0.00145067% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
213664321409162871030.996501
3 × 167
-31677.421e-111.138e-61.589e-6

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-25alpertronManual testing5000001500000012
skipped known factor: 2140916287
---8.244%


Trial Factoring results:
5758596061626364656667
No TF results for M2136643


ECM factoring results:
Total ECM effort:8.680 GHz-days
Estimated T-Level:21.735
DigitsB1CompleteFacMiss
20110003.7542.342%
25500000.34770.682%
302500000.02297.821%
3510000000.00199.897%


ECM Summary

B1B2factorcurvesGHz-days
500005000000211.791
50000644900570.668
50000660088770.675
500006682343504.851
50000700000070.695


Lucas-Lehmer results:
No L-L results for M2136643


PRP results:
dateuseridcompidcofactorsres64
2017-10-08Oliver KruseGTX-2
2140916287
AEE82C5B29560E65
2017-11-18kkmrkkblmbrbkold
2140916287
AEE82C5B29560E65


CERT results:
No CERT results for M2136643


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (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: 62
TF double-checked to: 67
ECM T-Level=21.73 ~= 56-bit
250
260
270
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00