is 2 2744969 - 1
has 826319 decimal digits
takes 0.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB5EB55B43AA14C1Cdouble-checked
PRP206E598EEE4A4163verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.714267.6471%2700000840000000.79847.6752%22.512770.1302%2.4832%
PrimeNet2590.028062.7119%120002200000.00262.8515%0.030663.7751%1.0633%
GPU722630.581465.0794%140002400000.00291.7084%0.584465.6760%0.5966%
Difference+5+21.1328+2.5677%+2686000+83760000+0.7955+5.9668%+21.9283+4.4543%+4.4543%

Known prime factors (1 factor, 85.4 bits, 0.00311080% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2744969507080370523839251645266072685.3909236540932226179087
9236540932226179087
2021-07-07192365409322261790874,267,6605.636e+101.053e+11

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%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.269%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.373%
2011-01-21T23:30:00Jocelyn LaroucheManual testing5000050000---0.006--0.539%
2011-05-01T18:14:00James HeinrichWHS1850004625000---0.048--3.315%
2016-11-17T00:12:28mikrMSI27000008400000012---0.798--7.675%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:20Mark RoseManual testing21260--0.056--
2009-01-31T15:09:00Sturle Sundegiacco.ifi260261--0.056--
2012-04-01T23:53:00markroldgamer261262--0.112--
2013-01-14T12:31:00dbaughManual testing262263--0.358--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.715--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.361--
2016-02-04T08:53:26ramgeisManual testing265266--2.722--
2017-10-05T11:09:31Gordon SpenceManual testing266267--5.445--
2019-02-18T09:11:44chuenkitManual testing267268--10.89--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.906 GHz-days
Estimated T-Level:21.804
DigitsB1CurvesCompleteFacMiss
2011000101 / 1001.01036.237%
2550000101 / 2800.36169.673%

New Calculation Method

Total ECM effort:10.906 GHz-days
Estimated T-Level:21.804
DigitsB1CompleteFacMiss
20110003.2933.716%
25500000.29774.338%
302500000.01898.194%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.417
5000050000009910.28
50000500000020.208


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computersB5EB55B43AA14C1C0.212
2018-08-12T17:55:18kkmrkkblmbrbkoldB5EB55B43AA14C1C0.212


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-08T07:03:24Luigi Morelli9800
50708037052383925164526607
206E598EEE4A4163no


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: 2021-07-08T07:03:24+00:00