is 2 1456289 - 1
has 438387 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-L8E3412B4109CCF71double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26720.403968.6567 %500000150000000.07144.9307 %20.475370.2022 %
Target2600.105565.0000 %65004500000.00171.3978 %0.107265.4892 %
Difference+7+20.2984+3.6567 %+493500+14550000+0.0697+3.5329%+20.3681+4.7129 %

Known prime factors (1 factor, 69.0 bits, 0.00473922% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14562895971885774908058424572169.017205037797267852
22 × 1013 × 95021 × 532531
2010-09-059502153253181.9800.00660.0107

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-29Team Prime Ribv4_computers15000243750--0.0022.396%
2010-09-03Rob_Deetwopc100000200000--0.0072.979%
2010-09-04Rob_Deetwopc200000300000--0.0133.535%
2010-09-05Rob_Deetwopc2169.0170.0160.000%
2016-03-17alpertronManual testing5000001500000012
skipped known factor: 597188577490805842457
---9.447%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-05-07Architects Cubeda3_bu22602610.105


ECM factoring results:
Total ECM effort:29.762 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025113.78
250000350000005015.98


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10ANONYMOUSv4_computers8E3412B4109CCF710.056


PRP results:
dateuseridcompidcofactorsres64
2017-10-01Oliver KruseGTX-3
597188577490805842457
392F7E0A07DF5CAF
2017-10-27kkmrkkblmbrbkc4.xlarge
597188577490805842457
392F7E0A07DF5CAF


CERT results:
No CERT results for M1456289


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
261
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00