is 2 1454053 - 1
has 437714 decimal digits
takes 0.056 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0E8858CFFAF23E6Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26720.435268.6567 %500000150000000.07144.9298 %20.506770.2019 %
Target2600.105665.0000 %65004500000.00171.3973 %0.107365.4891 %
Difference+7+20.3296+3.6567 %+493500+14550000+0.0697+3.5325%+20.3993+4.7128 %

Known prime factors (1 factor, 67.3 bits, 0.00463169% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14540531877245290802976274172167.34764552161812636
22 × 16138040453159
2012-11-2541613804045315920.43548,67790,914

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-29Team Prime Ribv4_computers15000243750--0.0022.396%
2010-08-20Rob_Deetwopc100000200000--0.0072.978%
2010-08-21Rob_Deetwopc200000300000--0.0133.534%
2010-08-22Rob_Deetwopc20000010000006--0.0165.078%
2010-08-23Rob_Deetwopc20000020000006--0.0195.982%
2010-08-24Rob_Deetwopc20000030000006--0.0236.516%
2010-08-25Rob_Deetwopc20000040000006--0.0266.898%
2010-08-26Rob_Deetwopc20000050000006--0.0307.194%
2016-03-17alpertronManual testing5000001500000012---9.446%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-07-21ANONYMOUSv4_computers212580.026
2010-05-09Architects Cubeda3_bu22602610.106
2011-03-08GrunwalderGIMPManual testing212631.097


ECM factoring results:
Total ECM effort:29.706 GHz-days
Estimated T-Level:25.701
DigitsB1CompleteFacMiss
201100014.5380.000%
25500001.64019.395%
302500000.14086.925%
3510000000.01099.024%


ECM Summary

B1B2factorcurvesGHz-days
10.142
50000500000024813.59
250000350000005015.98


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29ANONYMOUSv4_computers0E8858CFFAF23E6C0.056


PRP results:
dateuseridcompidcofactorsres64
2017-10-01Oliver KruseGTX-1
187724529080297627417
ABDEFB11938A782D
2017-10-27kkmrkkblmbrbkold
187724529080297627417
ABDEFB11938A782D


CERT results:
No CERT results for M1454053


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 200000, B2 = 4000000 (P-1 stage 2)
B1 = 200000, B2 = 3000000 (P-1 stage 2)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 200000, B2 = 1000000 (P-1 stage 2)
B1 = 200000, B2 = 300000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 243750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
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Last modified: 2024-02-29T14:28:04+00:00