is 2 376811 - 1
has 113432 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L19221DF73E8344BDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26778.856371.6418 %100000056995785004.378410.4343 %83.234774.6008 %
Target2440.000056.8182 %65009500000.000812.5274 %0.000862.2277 %
Difference+23+78.8563+14.8236 %+993500+5698628500+4.3776-2.0932 %+83.2338+12.3730 %

Known prime factors (1 factor, 63.9 bits, 0.01695839% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
376811172244955014613031132063.90122855616610796
22 × 157061 × 36380159
2008-02-29157061363801594.23560.02990.0520

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-06-15ANONYMOUSv4_computers32768327680012--0.00321.545%
2002-08-24ANONYMOUSv4_computers65536655360012--0.00624.180%
2024-02-18Denial140i5-840010000005699578500
skipped known factor: 17224495501461303113
--3.79544.173%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-24ANONYMOUSv4_computers2522530.002
2000-04-27ANONYMOUSv4_computers212540.006
2022-03-07LordJuliusManual testing254255
2001-03-17ANONYMOUSv4_computers212560.025
2002-02-03ANONYMOUSv4_computers212570.051
2004-01-18ANONYMOUSv4_computers212580.102


ECM factoring results:
Total ECM effort:10.499 GHz-days
Estimated T-Level:26.432
DigitsB1CompleteFacMiss
201100023.7830.000%
25500003.0174.892%
302500000.28675.100%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.028
5000050000002782.910
250000250000001447.561


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-08ANONYMOUSv4_computers19221DF73E8344BD0.004


PRP results:
dateuseridcompidcofactorsres64
2017-09-23Oliver KruseOllaptop
17224495501461303113
B8CE178E9C706EA0
2017-11-02kkmrkkblmbrbkc4.xlarge
17224495501461303113
B8CE178E9C706EA0
2020-04-18Oliver KruseAddPrpType5
17224495501461303113
EEA734C8E81E064A


CERT results:
No CERT results for M376811


P-1 factor-bounds graph:
B1 = 1000000, B2 = 5699578500 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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104
105
106
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-02-29T14:28:04+00:00