is 2 646193 - 1
has 194524 decimal digits
takes 0.010 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA3F0B06CF015C42Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26745.983070.1493 %1000000300000000.05685.5069 %46.039971.7931 %
Target2440.000054.5455 %1100020000000.002615.9474 %0.002661.7943 %
Difference+23+45.9830+15.6038 %+989000+28000000+0.0542-10.4405 %+46.0372+9.9988 %

Known prime factors (2 factors, 117.5 bits, 0.01818288% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6461934597945634212511271858.674355771854091
17 × 67 × 312354569
2008-02-07673123545690.05940.37490.7003
6461935098118386959138231858.823394473352927
37 × 211 × 50528161
2008-10-13211505281610.05940.06070.1133

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-07Alex Kruppav4_computers1000004000000--0.00724.392%
2002-05-11ANONYMOUSv4_computers163841638400--0.00219.944%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00522.646%
2002-10-07ANONYMOUSv4_computers65536655360012--0.00925.300%
2003-06-01ANONYMOUSv4_computers1310721310720012--0.01827.898%
2016-03-17alpertronManual testing10000003000000012---31.609%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-10-13Sturle Sundedanzi.ifi??
58.823
18
0.014
2000-01-19ANONYMOUSv4_computers2532540.002
2022-03-07LordJuliusManual testing254255
2001-04-15ANONYMOUSv4_computers212560.015
2001-12-22ANONYMOUSv4_computers212570.030
2003-10-31ANONYMOUSv4_computers212580.059


ECM factoring results:
Total ECM effort:18.840 GHz-days
Estimated T-Level:26.529
DigitsB1CompleteFacMiss
201100024.7690.000%
25500003.1794.164%
302500000.30673.653%
3510000000.02397.680%
4030000000.00299.849%


ECM Summary

B1B2factorcurvesGHz-days
10.014
5000050000002804.766
25000025000000443.749
2500004000000010010.31


Lucas-Lehmer results:
No L-L results for M646193


PRP results:
dateuseridcompidcofactorsres64
2017-09-27Oliver KruseGTX-3
459794563421251127
509811838695913823
63639FCBB679184E
2017-09-28Oliver KruseManual testing
459794563421251127
509811838695913823
63639FCBB679184E
2017-11-09kkmrkkblmbrbkc4.large
459794563421251127
509811838695913823
63639FCBB679184E
2020-04-19Oliver KruseAddPrpType5
459794563421251127
509811838695913823
D838DF4715680C78


CERT results:
No CERT results for M646193


P-1 factor-bounds graph:
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 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
100
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105
106
100
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102
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105
106
107
108
109
TF factor-bounds graph:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.53 ~= 72-bit
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Last modified: 2024-03-03T02:29:32+00:00