is 2 3552433 - 1
has 1069389 decimal digits
takes 0.373 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD95915AEE0781043double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2678.364467.1642 %10000001303648501.22578.3640 %9.590069.9106 %
Target2641.001965.6250 %2000018000000.01781.9206 %1.019866.2852 %
Difference+3+7.3624+1.5392 %+980000+128564850+1.2078+6.4433%+8.5703+3.6253 %

Known prime factors (1 factor, 76.5 bits, 0.00215227% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35524331037910359346506494709032476.45814608443837596747
41 × 131 × 98081 × 27730897
2009-07-3198081277308977,093.40.24420.4297

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-07Carsten Kossendeymother20000245000--0.0051.723%
2020-08-20JossManual testing35524335524336---5.327%
2022-03-01JossManual testing100000100000--0.0151.529%
2022-05-19JossManual testing100000130364850
skipped known factor: 103791035934650649470903
--1.3028.065%
2022-08-26JossManual testing10000001000000--0.1523.955%
2022-09-13JossManual testing1000000130364850
skipped known factor: 103791035934650649470903
--1.45510.693%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-03-16S485122USB-A2602610.043


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


ECM Summary

B1B2factorcurvesGHz-days
10.200


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12ANONYMOUSv4_computersD95915AEE07810430.373


PRP results:
dateuseridcompidcofactorsres64
2017-11-09Oliver KruseGTX-3
103791035934650649470903
CAF3D05EABDB5443
2017-12-17kkmrkkblmbrbkc4.xlarge
103791035934650649470903
CAF3D05EABDB5443


CERT results:
No CERT results for M3552433


P-1 factor-bounds graph:
B1 = 1000000, B2 = 130364850 (P-1 stage 2)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 355243, B2 = 3552433 (P-1 stage 2)
B1 = 355243 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
261
this exponent TF target: 64
TF double-checked to: 67
250
260
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280
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Last modified: 2024-03-13T02:15:48+00:00