is 2 2209717 - 1
has 665192 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-LF237CA866DA88329double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.974067.6471%50000002000000001.48968.9607%28.463670.5461%2.8990%
PrimeNet2580.017462.0690%100001800000.00182.8654%0.019263.1558%1.0869%
GPU722620.278064.5161%110001700000.00191.6014%0.279965.0844%0.5683%
Difference+6+26.6960+3.1309%+4989000+199830000+1.4877+7.3592%+28.1837+5.4617%+5.4617%

Known prime factors (1 factor, 82.0 bits, 0.00371124% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
220971748621116922758140641126012582.0081100166150750483900
22 × 3 × 52 × 1601 × 2290581200813
2020-04-1616012290581200813754,10811,89822,222

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%
2010-11-10T11:26:00Jocelyn LaroucheManual testing3000030000---0.003--0.355%
2011-01-08T20:04:00markrtiny900001665000---0.017--2.224%
2014-06-24T22:45:00Jocelyn LaroucheManual testing119046119046---0.011--0.890%
2014-10-17T00:38:00Jocelyn LaroucheManual testing148092148092---0.014--1.006%
2015-11-11T05:09:38Alexander DubrovinManual testing100000025000006---0.103--3.303%
2015-12-08T16:57:52Alexander DubrovinManual testing20000001500000012---0.258--5.357%
2015-12-09T09:35:07Alexander DubrovinManual testing20000006500000012---0.518--7.030%
2019-12-30T03:48:45mikrMSI500000020000000012---1.490--8.961%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:08Mark RoseManual testing258260--0.052--
2009-01-02T11:02:00Sturle Sundeantonov.ifi260261--0.070--
2009-01-08T21:31:00Sturle Sundedittersdorf.ifi261262--0.139--
2013-12-04T06:19:00LaurVManual testing262263--0.444--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.888--
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:5.482 GHz-days
Estimated T-Level:3.200
DigitsB1CurvesCompleteFacMiss
201100064 / 1000.64052.560%
255000064 / 2800.22979.534%

New Calculation Method

Total ECM effort:5.482 GHz-days
Estimated T-Level:3.200
DigitsB1CompleteFacMiss
20110002.06512.688%
25500000.18782.978%
302500000.01198.858%


ECM Summary

B1B2factorcurvesGHz-days
500005000000635.397
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computersF237CA866DA883290.145
2018-04-17T06:00:03kkmrkkblmbrbkoldF237CA866DA883290.145


PRP results:
dateuseridcompidcofactorsres64PRP
2020-04-17T12:21:32Christoph ZengerManual testing
4862111692275814064112601
83CD32061C76D263no
2020-04-18T08:01:33oodairacom1
4862111692275814064112601
83CD32061C76D263no


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 = 1665000 (P-1 stage 2)
B1 = 148092 (P-1 stage 1)
B1 = 119046 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
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108
109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
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2100
Last modified: 2020-04-18T08:01:33+00:00