is 2 3686153 - 1
has 1109643 decimal digits
takes 0.387 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6B47D1A9DD49BEC8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26816.169967.6471 %1000001303648501.09615.4046 %17.266069.3956 %
Target2640.965665.6250 %2200020000000.01982.0398 %0.985466.3262 %
Difference+4+15.2043+2.0221 %+78000+128364850+1.0763+3.3647%+16.2806+3.0694 %

Known prime factors (1 factor, 66.5 bits, 0.00180357% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
36861531030811315118003005112166.48213982210113335
3 × 5 × 61 × 557 × 27434657
2009-08-25557274346575.96790.22770.4252

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-13Carsten Kossendeymother20000260000--0.0051.765%
2022-03-05JossManual testing9000090000--0.0141.457%
2022-03-22JossManual testing100000100000--0.0151.538%
2022-05-25JossManual testing100000130364850
skipped known factor: 103081131511800300511
--1.3028.101%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-21Joel Armengaudv4_computers212600.021
2009-03-08S485122USB-Z2602610.042
2022-12-09LordJuliusManual testing21268
skipped known factors(?)


ECM factoring results:
Total ECM effort:0.200 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.200


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-27Joel Armengaudv4_computers6B47D1A9DD49BEC80.387
1999-08-16ANONYMOUSv4_computers341592145F5504FA0.387
1999-11-04dtlgcv4_computers6B47D1A9DD49BEC80.387


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
103081131511800300511
A1F1C54ABCCA6B86
2017-11-29Oliver KruseThreadripper-PC
103081131511800300511
A1F1C54ABCCA6B86


CERT results:
No CERT results for M3686153


P-1 factor-bounds graph:
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
101
102
103
104
105
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
261
260
this exponent TF target: 64
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00