is 2 2737489 - 1
has 824067 decimal digits
takes 0.211 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L9AADCF8D2CCA5EE6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.773667.6471%2700000840000000.79847.6731%22.572070.1295%2.4825%
PrimeNet2590.028162.7119%120002200000.00262.8501%0.030763.7746%1.0628%
GPU722630.583065.0794%140002400000.00291.7076%0.586065.6757%0.5963%
Difference+5+21.1905+2.5677%+2686000+83760000+0.7955+5.9656%+21.9860+4.4539%+4.4539%

Known prime factors (1 factor, 73.4 bits, 0.00268188% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2737489126032305144684108411512373.4162301969161240175
3 × 52 × 7 × 31 × 141442037557
2020-08-0531141442037557809.94863.031,611.9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.241%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.798%
2010-12-19T21:43:00Jocelyn LaroucheManual testing2000020000---0.002--0.269%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.372%
2011-01-20T22:46:00Jocelyn LaroucheManual testing5000050000---0.006--0.539%
2011-04-27T08:29:00James HeinrichWHS1850004625000---0.048--3.314%
2016-10-24T16:45:58mikrMSI27000008400000012---0.798--7.673%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:20Mark RoseManual testing21260--0.056--
2009-01-28T01:30:00Sturle Sundepapageno.ifi260261--0.056--
2012-04-09T08:28:00Grant McCrackenthumper261262--0.112--
2013-01-14T12:27:00dbaughManual testing262263--0.359--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.717--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.365--
2016-02-03T11:43:35ramgeisManual testing265266--2.730--
2017-10-05T11:09:29Gordon SpenceManual testing266267--5.460--
2019-02-15T01:31:28chuenkitManual testing267268--10.92--


ECM factoring results:

Old Calculation Method

Total ECM effort:3.529 GHz-days
Estimated T-Level:1.700
DigitsB1CurvesCompleteFacMiss
201100034 / 1000.34071.055%
255000034 / 2800.12188.546%

New Calculation Method

Total ECM effort:3.529 GHz-days
Estimated T-Level:1.700
DigitsB1CompleteFacMiss
20110001.09733.395%
25500000.09990.563%
302500000.00699.391%


ECM Summary

B1B2factorcurvesGHz-days
500005000000333.426
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers9AADCF8D2CCA5EE60.211
2018-08-10T16:36:54kkmrkkblmbrbkold9AADCF8D2CCA5EE60.211


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-09T05:11:30fre_gamesgpu
12603230514468410841151
9A1BFC570DE8A6C5no
2020-08-09T20:33:09kutenssol
12603230514468410841151
9A1BFC570DE8A6C5no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 185000, B2 = 4625000 (P-1 stage 2)
B1 = 185000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (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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TF factor-bounds graph:
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Last modified: 2020-08-09T20:33:09+00:00