is 2 468109 - 1
has 140915 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L21278C78096B0EABdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26763.476571.6418 %6553665536000.00722.4692 %63.483672.3420 %
Target2440.000056.8182 %800013000000.001313.9072 %0.001362.8236 %
Difference+23+63.4765+14.8236 %+57536+5253600+0.0058-11.4381 %+63.4823+9.5184 %

Known prime factors (2 factors, 146.3 bits, 0.03126384% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4681091693838778587902537132167.199180923543297384
23 × 53 × 313 × 1363279457
2016-01-29313136327945763.4761.26852.3691
4681096706822493248082062656172479.150716374016868729512
23 × 17 × 3449 × 6143 × 248614931
2009-11-076143248614931261,5480.23140.4320

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-22ANONYMOUSv4_computers2000200000--0.00010.959%
2002-01-08ANONYMOUSv4_computers500001000000--0.00219.329%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00421.985%
2002-09-14ANONYMOUSv4_computers65536655360012--0.00724.627%
2009-08-27Carsten Kossendeymother468109468109--0.00817.113%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-19ANONYMOUSv4_computers212540.005
2022-03-07LordJuliusManual testing254255
2001-03-25ANONYMOUSv4_computers212560.021
2002-02-03ANONYMOUSv4_computers212570.041
2004-01-07ANONYMOUSv4_computers212580.082


ECM factoring results:
Total ECM effort:12.843 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
10.034
5000050000002433.062
500005000000350.452
250000250000001449.296


Lucas-Lehmer results:
No L-L results for M468109


PRP results:
dateuseridcompidcofactorsres64
2017-09-25Oliver KruseDoppelherz
670682249324808206265617
169383877858790253713
F6E170F11F3C632E
2017-09-27Oliver KruseManual testing
670682249324808206265617
169383877858790253713
F6E170F11F3C632E
2017-10-13Oliver KruseThreadripper-PC
169383877858790253713
670682249324808206265617
F6E170F11F3C632E
2017-12-16ATHxps
169383877858790253713
670682249324808206265617
F6E170F11F3C632E
2020-04-18Oliver KruseAddPrpType5
169383877858790253713
670682249324808206265617
1D418512D120FCE2


CERT results:
No CERT results for M468109


P-1 factor-bounds graph:
B1 = 468109 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
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 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00