is 2 308809 - 1
has 92961 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L75685FE12C06F3__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26796.221071.6418%131072131072000.00863.1363%96.229772.5312%0.8894%
PrimeNet2400.000052.5000%3200900000.000115.6281%0.000159.9234%7.4234%
GPU722440.000056.8182%55001500000.000111.4397%0.000161.7581%4.9399%
Difference+23+96.2210+14.8236%+125572+12957200+0.0085-8.3034%+96.2295+10.7731%+10.7731%

Known prime factors (1 factor, 69.6 bits, 0.02254295% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3088099038539853689907014572169.6151463451494886792
23 × 32 × 67 × 303368883683
2007-12-3067303368883683634.00170.43318.31

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-06-30T00:00:00ANONYMOUSv4_computers110001100000---0.001--0.795%
2001-10-13T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.387%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.613%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.310%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.136%
2006-01-15T00:00:00Jocelyn Larouchev4_computers308809308809---0.003--1.207%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:36:00LordJuliusManual testing254255--0.008--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.031--
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.031--
2002-02-24T00:00:00ANONYMOUSv4_computers21257--0.062--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.124--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.472 GHz-days
Estimated T-Level:27.688
DigitsB1CurvesCompleteFacMiss
2011000624 / 1006.2400.189%
2550000624 / 2802.22910.725%
30250000344 / 6400.53858.396%

New Calculation Method

Total ECM effort:16.472 GHz-days
Estimated T-Level:27.688
DigitsB1CompleteFacMiss
201100043.8600.000%
25500006.1020.224%
302500000.62953.329%
3510000000.05195.023%
4030000000.00399.661%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002802.138
250000250000001445.497
250000367500002008.837


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-08T00:00:00ANONYMOUSv4_computers75685FE12C06F3__0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T16:12:07Oliver KruseOllaptop
903853985368990701457
26D409906F4EA9__no
2017-09-22T20:37:35Oliver KruseManual testing
903853985368990701457
26D409906F4EA9__no
2017-10-12T22:58:02Oliver KruseGTX-226D409906F4EA9__no
2017-12-11T11:51:12ATHxps
903853985368990701457
26D409906F4EA9__no
2020-04-18T07:38:02Oliver KruseAddPrpType5
903853985368990701457
380269AF69753E__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 308809 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 11000, B2 = 1100000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T06:36:00+00:00