is 2 436279 - 1
has 131334 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L488345E3A639F5ACdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26768.107671.6418 %30000001000000000.14157.1783 %68.249173.6774 %
Target2440.000056.8182 %800012000000.001213.5970 %0.001362.6896 %
Difference+23+68.1076+14.8236 %+2992000+98800000+0.1402-6.4187 %+68.2478+10.9878 %

Known prime factors (3 factors, 234.6 bits, 0.05376456% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
43627928328757059843308497432271.2633246633124656849
33 × 7649 × 15720443363
2009-05-207649157204433631,553.514.62727.319
436279164311528510796342287212373.79918831015074160840
23 × 3 × 5 × 23 × 276337 × 24690257
2014-11-17276337246902576,149.80.02740.0429
4362798765071936085290751457055692789.5021004525995530989430096
24 × 3 × 13 × 1609817300530431779
2020-04-27161609817300530431779487,402,6631.498e+92.798e+9

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00010.835%
2002-01-02ANONYMOUSv4_computers500001000000--0.00219.197%
2002-01-15ANONYMOUSv4_computers4096409600--0.00013.687%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00421.842%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00724.482%
2003-04-03ANONYMOUSv4_computers1310721310720030--0.01427.071%
2014-11-17alpertronManual testing30000001000000001222373.7990.14134.742%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-25ANONYMOUSv4_computers212560.022
2002-02-10ANONYMOUSv4_computers212570.044
2004-01-18ANONYMOUSv4_computers212580.088


ECM factoring results:
Total ECM effort:12.829 GHz-days
Estimated T-Level:26.434
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.011
5000050000002803.560
250000250000001258.036
25000025000000191.221


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-10ANONYMOUSv4_computers488345E3A639F5AC0.005


PRP results:
dateuseridcompidcofactorsres64
2017-09-24Oliver KruseDoppelherz
2832875705984330849743
16431152851079634228721
0C34777DB44A1D0A
2017-10-13Oliver KruseThreadripper-PC
2832875705984330849743
16431152851079634228721
0C34777DB44A1D0A
2017-12-16ATHxps
2832875705984330849743
16431152851079634228721
0C34777DB44A1D0A
2020-04-18Oliver KruseAddPrpType5
2832875705984330849743
16431152851079634228721
9926EDB87D618B07
2020-04-27M Millercruncher
2832875705984330849743
16431152851079634228721
876507193608529075145705569
9926EDB87D618B07


CERT results:
No CERT results for M436279


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (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 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-03-13T02:15:48+00:00