is 2 2093123 - 1
has 630093 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAAC8AC23F3C352BDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.476569.1176%25000001250000000.87467.8957%29.351271.5560%2.4384%
PrimeNet2580.018363.7931%90001600000.00162.6761%0.020064.7620%0.9689%
GPU722620.293566.1290%90001400000.00151.4007%0.295166.6035%0.4744%
Difference+6+28.1830+2.9886%+2491000+124860000+0.8731+6.4950%+29.0561+4.9526%+4.9526%

Known prime factors (1 factor, 101.1 bits, 0.00483019% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2093123272072995258345835004324156039131101.102649921182984339274386465
3 × 5 × 43328078865622618292431
2020-07-245433280788656226182924318.951e+102.251e+144.203e+14

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.223%
2009-07-27T03:06:00harleeP4_260020000260000---0.003--0.876%
2010-12-28T23:08:00Jocelyn LaroucheManual testing3000030000---0.003--0.351%
2011-01-09T14:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.510%
2011-01-19T10:33:00James HeinrichQ66001400003150000---0.029--2.793%
2016-07-27T10:56:33Jocelyn LaroucheManual testing186340630000012---0.050--3.411%
2016-11-05T16:28:43Jocelyn Larouchelow 4M223608223608---0.021--1.239%
2016-11-10T03:36:29Jocelyn Larouchelow 4M268329268329---0.026--1.358%
2017-05-15T00:37:23mikrMSI250000012500000012---0.875--7.896%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00Ethan O'Connorv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-03T12:44:00Sturle Sundekraus.ifi260261--0.073--
2012-03-23T17:48:00Sebastian HornbostelManual testing261262--0.147--
2013-09-03T09:36:00ramgeisManual testing262263--0.469--
2015-04-10T15:56:00VictordeHollanderManual testing263264--0.938--
2015-04-10T15:56:00VictordeHollanderManual testing264265--1.785--
2015-11-06T09:16:14ramgeisManual testing265266--3.570--
2016-09-22T02:15:57Gordon SpenceManual testing266267--7.140--
2019-04-01T03:15:25chuenkitManual testing267268--14.28--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.272 GHz-days
Estimated T-Level:21.946
DigitsB1CurvesCompleteFacMiss
2011000109 / 1001.09033.438%
2550000109 / 2800.38967.707%

New Calculation Method

Total ECM effort:9.272 GHz-days
Estimated T-Level:21.946
DigitsB1CompleteFacMiss
20110003.5162.971%
25500000.31872.776%
302500000.02098.062%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001089.187
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06T00:00:00ANONYMOUSv4_computersAAC8AC23F3C352BD0.138
2017-06-12T12:29:14kkmrkkblmbrbkc4.largeAAC8AC23F3C352BD0.138


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-24T05:12:28CrypticCluecruncher
2720729952583458350043241560391
744EF44504F5F497no
2020-07-24T11:41:55kotenok2000shodan1
2720729952583458350043241560391
744EF44504F5F497no
2020-08-05T18:22:10Chang Chia-Tcheexbpc13
2720729952583458350043241560391
744EF44504F5F497no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 186340, B2 = 6300000 (P-1 stage 2)
B1 = 140000, B2 = 3150000 (P-1 stage 2)
B1 = 268329 (P-1 stage 1)
B1 = 223608 (P-1 stage 1)
B1 = 186340 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-08-05T18:22:10+00:00