is 2 2685383 - 1
has 808381 decimal digits
takes 0.207 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L13539E9EB2D8EED3double-checked
PRPF41BF7E70A13A9EEverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.196067.6471%3000000900000000.86687.8042%23.062970.1719%2.5249%
PrimeNet2590.028662.7119%120002200000.00262.8402%0.031263.7709%1.0591%
GPU722630.594365.0794%130002200000.00271.6229%0.597165.6461%0.5667%
Difference+5+21.6017+2.5677%+2987000+89780000+0.8641+6.1812%+22.4658+4.5258%+4.5258%

Known prime factors (1 factor, 71.5 bits, 0.00266438% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
268538334544345490439633573612271.549643192153417960
23 × 5 × 4871 × 3301129919
2020-09-0848713301129919248.9620.14337.620

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.240%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.786%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.268%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.371%
2011-02-02T22:45:00markrtiny1050002283750---0.025--2.550%
2016-06-16T02:18:33Jocelyn LaroucheManual testing16179145675006---0.045--3.223%
2016-12-19T18:37:55Jocelyn Larouchelow 4M194149194149---0.022--1.203%
2017-01-10T10:25:17Jocelyn Larouchelow 4M232978232978---0.026--1.319%
2017-04-04T20:17:36Jocelyn Larouchelow 4M33548733548706---0.056--3.344%
2018-09-03T21:22:24Jocelyn Larouchelow 4M486584486584---0.054--1.857%
2019-07-05T23:33:42BigBrotherWinston30000009000000012---0.867--7.804%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-31T16:11:00Sturle Sundegerle.ifi260261--0.057--
2012-05-09T13:02:00markroldgamer261262--0.114--
2013-01-14T12:26:00dbaughManual testing262263--0.366--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.731--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.391--
2016-01-26T10:48:52ramgeisManual testing265266--2.783--
2017-09-13T08:55:33Gordon SpenceManual testing266267--5.565--
2019-04-29T13:20:16TJAOIManual testing267268--11.13--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.864 GHz-days
Estimated T-Level:2.350
DigitsB1CurvesCompleteFacMiss
201100047 / 1000.47062.353%
255000047 / 2800.16884.522%

New Calculation Method

Total ECM effort:4.864 GHz-days
Estimated T-Level:2.350
DigitsB1CompleteFacMiss
20110001.51621.956%
25500000.13787.195%
302500000.00899.160%


ECM Summary

B1B2factorcurvesGHz-days
500005000000454.657
50000500000020.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers13539E9EB2D8EED30.207
2018-07-27T16:29:11kkmrkkblmbrbkold13539E9EB2D8EED30.207


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-08T15:51:15mrh.orgw
3454434549043963357361
F41BF7E70A13A9EEno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 335487, B2 = 3354870 (P-1 stage 2)
B1 = 486584 (P-1 stage 1)
B1 = 161791, B2 = 4567500 (P-1 stage 2)
B1 = 335487 (P-1 stage 1)
B1 = 232978 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 194149 (P-1 stage 1)
B1 = 161791 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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1010
TF factor-bounds graph:
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Last modified: 2020-09-08T15:51:15+00:00