is 2 408637 - 1
has 123012 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2A1B03504A486327double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26772.714771.6418 %30000001000000000.11657.1306 %72.831273.6639 %
Target2440.000056.8182 %700011000000.000913.1005 %0.000962.4752 %
Difference+23+72.7147+14.8236 %+2993000+98900000+0.1155-5.9699 %+72.8302+11.1887 %

Known prime factors (1 factor, 82.5 bits, 0.02019467% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
40863769481279257457264713666472582.5238501589339371773079
67 × 1033 × 122835811350389
2009-09-0310331228358113503892,396,91294,075175,706

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-06-15ANONYMOUSv4_computers32768327680012--0.00321.709%
2002-08-24ANONYMOUSv4_computers65536655360012--0.00624.347%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.01226.935%
2008-11-19markrManual testing10000003000000012--0.03830.676%
2016-03-16alpertronManual testing300000010000000012---34.609%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.023
2002-01-08ANONYMOUSv4_computers212570.047
2003-12-31ANONYMOUSv4_computers212580.094


ECM factoring results:
Total ECM effort:10.500 GHz-days
Estimated T-Level:26.432
DigitsB1CompleteFacMiss
201100023.7830.000%
25500003.0174.892%
302500000.28675.100%
3510000000.02297.835%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.028
5000050000002782.879
250000250000001447.593


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-10ANONYMOUSv4_computers2A1B03504A4863270.004


PRP results:
dateuseridcompidcofactorsres64
2017-09-23Oliver KruseOllaptop
6948127925745726471366647
33EF00949C4A9DE7
2017-11-02kkmrkkblmbrbkc4.xlarge
6948127925745726471366647
33EF00949C4A9DE7
2020-04-18Oliver KruseAddPrpType5
6948127925745726471366647
D29425CB9CDB31EC


CERT results:
No CERT results for M408637


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-03T02:29:32+00:00