is 2 2210477 - 1
has 665420 decimal digits
takes 0.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD23783E5AA4E8AFAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.442367.1642 %500000150000000.12305.1850 %13.565368.8667 %
Target2620.277964.5161 %110008500000.00541.6015 %0.283365.0844 %
Difference+5+13.1644+2.6481 %+489000+14150000+0.1176+3.5835%+13.2820+3.7823 %

Known prime factors (1 factor, 66.1 bits, 0.00299232% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2210477815581844925587342232066.14418448096155843
3 × 125183 × 49123007
2009-01-07125183491230076.68110.26640.4766

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-16ANONYMOUSv4_computers204820480012--0.0010.780%
2016-04-18alpertronManual testing5000001500000012---8.275%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2022-03-09LordJuliusManual testing21260
2009-01-02Sturle Sundeantonov.ifi2602610.069


ECM factoring results:
Total ECM effort:31.050 GHz-days
Estimated T-Level:25.405
DigitsB1CompleteFacMiss
201100013.8690.000%
25500001.28327.716%
302500000.08192.224%
3510000000.00499.622%


ECM Summary

B1B2factorcurvesGHz-days
10.125
50000500000035330.24
50000675000070.686


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21ANONYMOUSv4_computersD23783E5AA4E8AFA0.145


PRP results:
dateuseridcompidcofactorsres64
2017-10-09Oliver KruseGTX-2
81558184492558734223
D357FCB37A6AF2B5
2017-11-20kkmrkkblmbrbkold
81558184492558734223
D357FCB37A6AF2B5


CERT results:
No CERT results for M2210477


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=25.4 ~= 68-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00