is 2 2292439 - 1
has 690093 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L900F7EEC66B3BCB1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.000667.6471%3000000900000000.75827.6821%26.758870.1324%2.4854%
PrimeNet2580.016762.0690%100001900000.00192.9262%0.018763.1789%1.1099%
GPU722620.268064.5161%120002000000.00221.7364%0.270265.1323%0.6161%
Difference+6+25.7326+3.1309%+2988000+89800000+0.7560+5.9457%+26.4886+5.0002%+5.0002%

Known prime factors (1 factor, 83.4 bits, 0.00364002% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2292439131671427029059661004474092683.4452871863265043468136
23 × 7 × 619 × 741413 × 111744173
2020-12-29741413111744173864,8770.66501.1138

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.229%
2010-11-07T12:40:00Jocelyn LaroucheManual testing1500015000---0.001--0.201%
2010-11-15T02:50:00Jocelyn LaroucheManual testing2000020000---0.002--0.258%
2010-11-29T10:53:00Oscar Östlin7501175011---0.007--0.679%
2011-01-16T23:36:00Oscar Östlin850001742500---0.017--2.235%
2014-06-11T02:10:00Jocelyn LaroucheManual testing112998112998---0.011--0.870%
2014-10-03T21:04:00Jocelyn LaroucheManual testing140996140996---0.014--0.986%
2016-01-01T13:48:33Jocelyn LaroucheManual testing35968335968306---0.053--3.357%
2019-07-17T05:18:46BigBrotherWinston30000009000000012---0.758--7.682%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:11Mark RoseManual testing21260--0.067--
2009-01-15T00:22:00Sturle Sundegorky.ifi260261--0.067--
2012-05-12T01:48:00Sebastian HornbostelManual testing261262--0.134--
2013-08-20T23:28:00David CampeauManual testing262263--0.428--
2015-03-12T10:50:00VictordeHollanderManual testing263264--0.856--
2015-03-12T10:50:00VictordeHollanderManual testing264265--1.630--
2015-11-03T10:10:00ramgeisManual testing265266--3.260--
2017-05-21T02:33:15Gordon SpenceManual testing266267--6.519--
2019-05-20T13:24:27TJAOIManual testing267268--13.04--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.525 GHz-days
Estimated T-Level:22.125
DigitsB1CurvesCompleteFacMiss
2011000119 / 1001.19030.240%
2550000119 / 2800.42565.327%

New Calculation Method

Total ECM effort:10.525 GHz-days
Estimated T-Level:22.125
DigitsB1CompleteFacMiss
20110004.5771.029%
25500000.42365.476%
302500000.02797.364%
3510000000.00199.875%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011810.44
50000500000010.088


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-04T00:00:00Alex Kruppav4_computers900F7EEC66B3BCB10.155
2018-04-29T08:11:18kkmrkkblmbrbkold900F7EEC66B3BCB10.155


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-29T09:47:52firejugglerMaison
13167142702905966100447409
C15330556E5F868Eno
2020-12-29T19:31:16Niels_Mache_Nextcloudstrt03
13167142702905966100447409
C15330556E5F868Eno


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 359683, B2 = 3596830 (P-1 stage 2)
B1 = 359683 (P-1 stage 1)
B1 = 85000, B2 = 1742500 (P-1 stage 2)
B1 = 140996 (P-1 stage 1)
B1 = 112998 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-12-29T19:31:16+00:00