is 2 1424407 - 1
has 428790 decimal digits
takes 0.054 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5E71624974CDB3FBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26720.860668.6567 %500000150000000.07144.9175 %20.932070.1980 %
Target2600.107865.0000 %60004000000.00151.3025 %0.109365.4559 %
Difference+7+20.7527+3.6567 %+494000+14600000+0.0699+3.6150%+20.8226+4.7421 %

Known prime factors (1 factor, 61.4 bits, 0.00431164% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
142440730751404079155545511961.4151079445835325
52 × 11 × 13 × 301942891
2008-12-16253019428910.21570.91071.7010

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-29Team Prime Ribv4_computers15000236250--0.0012.367%
2016-03-17alpertronManual testing5000001500000012---9.425%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-20ANONYMOUSv4_computers212570.013
2003-07-13ANONYMOUSv4_computers212580.027


ECM factoring results:
Total ECM effort:29.707 GHz-days
Estimated T-Level:25.702
DigitsB1CompleteFacMiss
201100014.5770.000%
25500001.64419.326%
302500000.14086.905%
3510000000.01099.023%


ECM Summary

B1B2factorcurvesGHz-days
10.085
50000500000024913.71
250000350000005015.91


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-19ANONYMOUSv4_computers5E71624974CDB3FB0.054


PRP results:
dateuseridcompidcofactorsres64
2017-09-30Oliver KruseGTX-3
3075140407915554551
E41E9AA9A185F655
2017-10-26kkmrkkblmbrbkc4.xlarge
3075140407915554551
E41E9AA9A185F655


CERT results:
No CERT results for M1424407


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 15000, B2 = 236250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
258
257
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