is 2 324931 - 1
has 97814 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-LE31650E6388F95__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26791.446971.6418%131072131072000.00863.1594%91.455572.5377%0.8959%
PrimeNet2400.000052.5000%34001000000.000116.1117%0.000160.1530%7.6530%
GPU722440.000056.8182%60001600000.000111.7861%0.000261.9076%5.0894%
Difference+23+91.4468+14.8236%+125072+12947200+0.0085-8.6267%+91.4553+10.6301%+10.6301%

Known prime factors (1 factor, 58.7 bits, 0.01807175% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3249314750034312380101671858.721730929691593
34 × 9023823353
2007-08-248190238233530.23105.06949.4682

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-30T00:00:00ANONYMOUSv4_computers10000010000000---0.007--2.821%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.628%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.329%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--3.159%
2006-01-15T00:00:00Jocelyn Larouchev4_computers324931324931---0.003--1.249%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.007--
2022-03-07T06:36:25LordJuliusManual testing254255--0.007--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.030--
2002-03-10T00:00:00ANONYMOUSv4_computers21257--0.059--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.118--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.659 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:7.659 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002812.150
250000250000001445.509


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-15T00:00:00ANONYMOUSv4_computersE31650E6388F95__0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T19:18:30Oliver KruseDoppelherz
475003431238010167
63732607AB1BC9__no
2017-09-24T17:45:54Oliver KruseManual testing
475003431238010167
63732607AB1BC9__no
2017-10-13T01:27:29Oliver KruseGTX-063732607AB1BC9__no
2017-12-12T05:18:46ATHxps
475003431238010167
63732607AB1BC9__no
2020-04-18T15:07:44Oliver KruseAddPrpType5
475003431238010167
2181B1B50561B0__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 324931 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2022-03-07T06:36:25+00:00