is 2 2771693 - 1
has 834363 decimal digits
takes 0.214 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L618EF6EBDDF33680double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.720567.1642 %2880002264238901.41217.4925 %12.132669.6244 %
Target2630.575865.0794 %1500012000000.00891.7465 %0.584765.6892 %
Difference+4+10.1447+2.0848 %+273000+225223890+1.4031+5.7461%+11.5478+3.9352 %

Known prime factors (1 factor, 64.0 bits, 0.00231062% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2771693190100398565534304012064.0433429319166400
26 × 3 × 52 × 4783 × 149371
2010-09-2347831493711.28420.00140.0017

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.680%
2023-01-27USAFSSUSAFSACS288000226423890
skipped known factor: 19010039856553430401
--1.55610.679%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-03-31ANONYMOUSv4_computers212580.014
1998-07-11ANONYMOUSv4_computers212580.014
2022-03-11LordJuliusManual testing21260
2009-01-31Sturle Sundeantonov.ifi2602610.055


ECM factoring results:
Total ECM effort:0.323 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.081
50000500000030.243


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26ANONYMOUSv4_computers618EF6EBDDF336800.214


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-3
19010039856553430401
750B5DEBFAD5C4AE
2017-12-06kkmrkkblmbrbkc4.xlarge
19010039856553430401
750B5DEBFAD5C4AE


CERT results:
No CERT results for M2771693


P-1 factor-bounds graph:
B1 = 288000, B2 = 226423890 (P-1 stage 2)
B1 = 288000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
260
258
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00