is 2 2208091 - 1
has 664702 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-LF12864C142545369double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.993867.6471%50000002000000001.48968.9600%28.483470.5459%2.8988%
PrimeNet2580.017462.0690%100001800000.00182.8650%0.019263.1557%1.0867%
GPU722620.278264.5161%110001700000.00191.6012%0.280165.0843%0.5682%
Difference+6+26.7156+3.1309%+4989000+199830000+1.4877+7.3588%+28.2033+5.4616%+5.4616%

Known prime factors (1 factor, 73.1 bits, 0.00331166% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2208091102952731084839725739692373.1242331261055020824
23 × 313 × 931014798331
2020-04-023139310147983311,054.64,835.99,032.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-11-05T01:17:00Jocelyn LaroucheManual testing1500015000---0.001--0.199%
2010-11-14T20:17:00Jocelyn LaroucheManual testing2000020000---0.002--0.256%
2011-01-01T00:56:00Jocelyn LaroucheManual testing3000030000---0.003--0.355%
2011-01-09T04:27:00markrtiny900001642500---0.017--2.216%
2014-06-24T22:45:00Jocelyn LaroucheManual testing119068119068---0.011--0.890%
2014-10-17T00:38:00Jocelyn LaroucheManual testing148136148136---0.014--1.006%
2015-11-11T05:09:37Alexander DubrovinManual testing100000025000006---0.103--3.303%
2015-12-08T16:57:52Alexander DubrovinManual testing20000001500000012---0.258--5.356%
2015-12-09T09:35:07Alexander DubrovinManual testing20000006500000012---0.518--7.029%
2019-12-23T07:21:23mikrMSI500000020000000012---1.490--8.960%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:08Mark RoseManual testing21260--0.070--
2009-01-02T18:49:00Sturle Sundebuxtehude.ifi260261--0.070--
2009-01-07T03:10:00Sturle Sundedittersdorf.ifi261262--0.139--
2013-12-04T06:19:00LaurVManual testing262263--0.445--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.889--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.692--
2015-10-21T10:28:08ramgeisManual testing265266--3.384--
2016-12-12T15:11:26Gordon SpenceManual testing266267--6.769--
2019-05-06T12:23:32TJAOIManual testing267268--13.54--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.310 GHz-days
Estimated T-Level:3.100
DigitsB1CurvesCompleteFacMiss
201100062 / 1000.62053.627%
255000062 / 2800.22180.106%

New Calculation Method

Total ECM effort:5.310 GHz-days
Estimated T-Level:3.100
DigitsB1CompleteFacMiss
20110002.00013.534%
25500000.18183.464%
302500000.01198.893%


ECM Summary

B1B2factorcurvesGHz-days
500005000000605.139
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-31T00:00:00ANONYMOUSv4_computersF12864C1425453690.145
1999-02-07T00:00:00ANONYMOUSv4_computersF12864C1425453690.145
2018-04-16T23:48:21kkmrkkblmbrbkoldF12864C1425453690.145


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-03T06:09:48Daniil Tsarkov9900
10295273108483972573969
A8A3BFF7DC5F58F1no
2020-04-05T18:03:58arnaudstm-11-010
10295273108483972573969
A8A3BFF7DC5F58F1no


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 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 148136 (P-1 stage 1)
B1 = 119068 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
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: 2020-04-05T18:03:58+00:00