is 2 2436113 - 1
has 733344 decimal digits
takes 0.165 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L941D945608CE9DE4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.467267.6471%1986400695240000.55507.1759%25.022269.9687%2.3216%
PrimeNet2590.031562.7119%100001800000.00192.5256%0.033463.6536%0.9417%
GPU722630.655165.0794%100001500000.00171.3061%0.656965.5355%0.4561%
Difference+5+23.8121+2.5677%+1976400+69374000+0.5533+5.8698%+24.3653+4.4332%+4.4332%

Known prime factors (1 factor, 87.3 bits, 0.00358438% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
24361131930962025376901667656359832787.31939632029084383640407
34 × 191 × 67499 × 37951643083
2020-07-13674993795164308321,128,586202.55378.30

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.233%
2003-10-31T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.770%
2010-11-17T11:35:00Jocelyn LaroucheManual testing2000020000---0.002--0.262%
2011-01-09T21:37:00Oscar Östlin950001923750---0.019--2.365%
2014-05-09T02:59:00mikrMSI198640069524000---0.555--7.176%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:14Mark RoseManual testing259260--0.032--
2009-01-14T20:39:00Sturle Sundegouache.ifi260261--0.063--
2012-06-05T20:43:00Sebastian HornbostelManual testing261262--0.126--
2013-12-04T21:13:00Jerry HallettManual testing262263--0.403--
2015-02-27T20:40:00VictordeHollanderManual testing263264--0.806--
2015-02-27T20:40:00VictordeHollanderManual testing264265--1.534--
2015-10-25T20:35:00ramgeisManual testing265266--3.067--
2017-07-08T12:01:26Gordon SpenceManual testing266267--6.135--
2019-06-03T11:26:15TJAOIManual testing267268--12.27--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.263 GHz-days
Estimated T-Level:2.950
DigitsB1CurvesCompleteFacMiss
201100059 / 1000.59055.268%
255000059 / 2800.21180.970%

New Calculation Method

Total ECM effort:5.263 GHz-days
Estimated T-Level:2.950
DigitsB1CompleteFacMiss
20110001.90314.909%
25500000.17284.197%
302500000.01198.946%


ECM Summary

B1B2factorcurvesGHz-days
500005000000575.085
50000500000020.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computers941D945608CE9DE40.165
2018-05-23T07:37:09kkmrkkblmbrbkold941D945608CE9DE40.165


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-13T12:30:26CrypticClueManual testing
193096202537690166765635983
AB76C853B22C11F5no
2020-07-13T21:33:02oodairacom2
193096202537690166765635983
AB76C853B22C11F5no


P-1 factor-bounds graph:
B1 = 1986400, B2 = 69524000 (P-1 stage 2)
B1 = 1986400 (P-1 stage 1)
B1 = 95000, B2 = 1923750 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2020-07-13T21:33:02+00:00