is 2 2209421 - 1
has 665102 decimal digits
takes 0.145 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3C1CE517F4E9C7A1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.977667.6471%50000002000000001.48968.9605%28.467270.5461%2.8990%
PrimeNet2580.017462.0690%100001800000.00182.8653%0.019263.1558%1.0869%
GPU722620.278164.5161%110001700000.00191.6014%0.279965.0844%0.5682%
Difference+6+26.6995+3.1309%+4989000+199830000+1.4877+7.3591%+28.1872+5.4617%+5.4617%

Known prime factors (1 factor, 77.7 bits, 0.00351813% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22094212506871116247156386232392477.73056731404206060239
79 × 718119040583041
2020-04-257971811904058304120,2083,730,0906,966,769

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-01-16T01:59:00Jocelyn LaroucheManual testing5000050000---0.005--0.515%
2012-01-07T02:01:00Squeeky_SquirrelP4_26001350002733750---0.026--2.708%
2015-11-11T05:09:37Alexander DubrovinManual testing100000025000006---0.103--3.303%
2015-12-08T16:57:51Alexander DubrovinManual testing20000001500000012---0.258--5.357%
2015-12-09T09:35:07Alexander DubrovinManual testing20000006500000012---0.518--7.030%
2019-12-28T18:16:15mikrMSI500000020000000012---1.490--8.961%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-04-23T00:00:00Phantomasv4_computers21258--0.017--
2016-02-23T16:29:08Mark RoseManual testing258260--0.052--
2009-01-02T08:07:00Sturle Sundeantonov.ifi260261--0.070--
2009-01-08T13:47:00Sturle Sundedittersdorf.ifi261262--0.139--
2013-12-04T06:19:00LaurVManual testing262263--0.444--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.889--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.691--
2015-10-22T10:17:20ramgeisManual testing265266--3.382--
2016-12-12T15:11:26Gordon SpenceManual testing266267--6.764--
2019-05-06T12:23:31TJAOIManual testing267268--13.53--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.739 GHz-days
Estimated T-Level:3.350
DigitsB1CurvesCompleteFacMiss
201100067 / 1000.67050.999%
255000067 / 2800.23978.685%

New Calculation Method

Total ECM effort:5.739 GHz-days
Estimated T-Level:3.350
DigitsB1CompleteFacMiss
20110002.16111.518%
25500000.19582.256%
302500000.01298.804%


ECM Summary

B1B2factorcurvesGHz-days
500005000000665.653
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00Phantomasv4_computers3C1CE517F4E9C7A10.145
2018-04-17T04:30:46kkmrkkblmbrbkold3C1CE517F4E9C7A10.145


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-26T10:09:52CrypticCluecruncher
250687111624715638623239
F81DA8D950A59ED6no
2020-04-28T06:13:22Luigi Morelli9800X
250687111624715638623239
F81DA8D950A59ED6no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2000000, B2 = 15000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 2500000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 135000, B2 = 2733750 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-10-04T13:50:45+00:00