is 2 1826459 - 1
has 549819 decimal digits
takes 0.099 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB168BCD9C7984829double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.268668.6567 %500000150000000.10155.0674 %16.370170.2450 %
Target2610.168265.5738 %90007000000.00371.5940 %0.171966.1225 %
Difference+6+16.1004+3.0829 %+491000+14300000+0.0978+3.4734%+16.1982+4.1225 %

Known prime factors (1 factor, 72.3 bits, 0.00395871% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
182645958310009185140057812412272.3041596258366192180
22 × 34 × 5 × 2531 × 3121 × 124739
2008-10-033121124739523.600.00080.0010

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012
skipped known factor: 5831000918514005781241
---8.863%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-16ANONYMOUSv4_computers212580.021


ECM factoring results:
Total ECM effort:38.650 GHz-days
Estimated T-Level:25.693
DigitsB1CompleteFacMiss
201100015.1750.000%
25500001.67318.773%
302500000.13987.061%
3510000000.00999.072%


ECM Summary

B1B2factorcurvesGHz-days
10.052
500005000000392.693
50000660000022517.51
250000400000004318.39


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-29ANONYMOUSv4_computersB168BCD9C79848290.099
1998-12-27ANONYMOUSv4_computersB168BCD9C79848290.099


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-2
5831000918514005781241
85B2ED5174F0744C
2017-11-06kkmrkkblmbrbkold
5831000918514005781241
85B2ED5174F0744C


CERT results:
No CERT results for M1826459


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.69 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-03T02:29:32+00:00