is 2 312979 - 1
has 94217 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC96709444AA70467double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual268190.443772.0588%10000000003411368915955019,174.061828.0881%19,364.505579.9070%7.8481%
PrimeNet2400.000052.5000%3200900000.000115.6562%0.000159.9367%7.4367%
GPU722440.000056.8182%55001500000.000111.4618%0.000161.7676%4.9494%
Difference+24+190.4437+15.2406%+999994500+34113689009550+19,174.0617+16.6263%+19,364.5054+18.1394%+2.8987%

Known prime factors (1 factor, 125.3 bits, 0.04004392% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3129795343212970690887329782671647541320947138125.32985360566854180110003908755020965
34 × 5 × 263 × 1667 × 2389 × 55201 × 141829 × 25702938853
2022-10-28141829257029388534.202e+1114.44126.969

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-07-03T00:00:00ANONYMOUSv4_computers110001100000---0.001--0.677%
2001-10-20T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.213%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.407%
2002-08-10T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.042%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.009--2.804%
2006-01-15T00:00:00Jocelyn Larouchev4_computers312979312979---0.003--1.072%
2008-11-22T00:01:00GrunwalderGIMPGWPrime022000000200000000---0.132--6.829%
2012-01-26T23:22:00alpertronManual testing10000000200000000---0.210--7.801%
2016-06-12T11:52:03mikrS05260000000300000000012---2.270--12.367%
2022-10-28T02:43:10Oliver Kruse5950X10000000003411368915955038125.32919,1740.00438,34828.088%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:36:06LordJuliusManual testing254255--0.008--
2001-03-05T00:00:00ANONYMOUSv4_computers21256--0.031--
2002-03-03T00:00:00ANONYMOUSv4_computers21257--0.061--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.123--
2008-12-30T18:28:00Sturle Sundejodel.ifi258259--0.123--
2009-01-23T02:47:00Sturle Sundetristan.ifi259260--0.245--
2012-04-25T11:45:00David CampeauManual testing260261--0.491--
2015-07-20T06:48:00NRManual testing261262--0.981--
2015-12-28T23:49:51Gordon SpenceManual testing262263--3.136--
2015-12-28T23:49:51Gordon SpenceManual testing263264--6.273--
2018-01-22T07:56:03Gordon SpenceManual testing264265--11.94--
2019-11-27T10:39:37Gordon SpenceManual testing265266--23.88--
2022-05-25T04:48:47LordJuliusManual testing266267--47.75--
2022-06-12T09:34:46Gordon SpenceManual testing267268--95.50--


ECM factoring results:
Total ECM effort:38.334 GHz-days
Estimated T-Level:30.639
DigitsB1CompleteFacMiss
201100096.9760.000%
255000014.3450.000%
302500001.53621.517%
3510000000.12888.010%
4030000000.00999.144%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002832.162
2500002500000094736.17


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-22T00:00:00ANONYMOUSv4_computersC96709444AA704670.002


PRP results:
dateuseridcompidcofactorsres64PRP
2022-10-28T03:10:25Tucker KaoMistakes_of_the_Past
53432129706908873297826716475413209471
1F94E6AA154271CEno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 34113689159550 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 60000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 2000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 312979 (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: 2022-10-28T03:10:25+00:00