is 2 2784169 - 1
has 838119 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
Actual26710.672567.1642 %3300002612540701.62907.7920 %12.301569.7227 %
Target2630.573265.0794 %1500012000000.00891.7480 %0.582265.6898 %
Difference+4+10.0992+2.0848 %+315000+260054070+1.6201+6.0440%+11.7193+4.0330 %

Known prime factors (2 factors, 83.4 bits, 0.00299458% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2784169217165183927.69439
3 × 13
-3136.476e-123.970e-76.838e-7
2784169577180478096642411755.68010365399480
23 × 3 × 5 × 86378329
2015-02-078863783290.00340.52710.9844

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-12-12USAFSSUSAFSACS330000261254070
skipped known factor: 217165183
skipped known factor: 57718047809664241
--1.79511.036%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2015-02-07TJAOIManual testing255256*
55.680
17
0.001


ECM factoring results:
Total ECM effort:0.304 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.304


Lucas-Lehmer results:
No L-L results for M2784169


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-3
217165183
57718047809664241
D4FC0833C9AB9E7E
2017-12-06kkmrkkblmbrbkc4.xlarge
217165183
57718047809664241
D4FC0833C9AB9E7E


CERT results:
No CERT results for M2784169


P-1 factor-bounds graph:
B1 = 330000, B2 = 261254070 (P-1 stage 2)
B1 = 330000 (P-1 stage 1)
100
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102
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106
100
101
102
103
104
105
106
107
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109
TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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Last modified: 2024-03-13T02:15:48+00:00