is 2 2362351 - 1
has 711139 decimal digits
takes 0.160 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA2EC17E945BD997Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.231267.6471%30000001000000000.81157.8345%26.042770.1818%2.5347%
PrimeNet2590.032562.7119%100001700000.00182.4723%0.034363.6337%0.9219%
GPU722630.675665.0794%100001400000.00171.2707%0.677365.5231%0.4437%
Difference+5+24.5556+2.5677%+2990000+99860000+0.8099+6.5638%+25.3654+4.6587%+4.6587%

Known prime factors (1 factor, 85.6 bits, 0.00362421% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2362351593151532593701954626841272685.61712554263371397856513
236110529 × 53171128897
2020-07-18236110529531711288973,828,820305.64530.00

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-21T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.231%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.260%
2010-12-23T17:30:00Oscar Östlin7501175011---0.007--0.683%
2011-01-23T01:10:00Oscar Östlin900001822500---0.018--2.297%
2014-08-07T10:52:00Jocelyn LaroucheManual testing117170117170---0.011--0.893%
2014-10-22T23:53:00Jocelyn LaroucheManual testing144340144340---0.014--1.004%
2015-08-28T04:54:00mikrMSI3000000100000000---0.812--7.835%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-01T00:00:00ANONYMOUSv4_computers21259--0.033--
2016-02-23T16:29:12Mark RoseManual testing259260--0.033--
2009-01-14T05:44:00Sturle Sundeginjtje.ifi260261--0.065--
2012-05-30T13:43:00Sebastian HornbostelManual testing261262--0.130--
2013-01-23T08:26:00dbaughManual testing262263--0.416--
2015-03-09T12:35:00VictordeHollanderManual testing263264--0.831--
2015-03-09T12:35:00VictordeHollanderManual testing264265--1.582--
2015-10-29T11:36:26ramgeisManual testing265266--3.163--
2017-06-13T16:34:55Gordon SpenceManual testing266267--6.327--
2019-04-22T13:11:34TJAOIManual testing267268--12.65--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.395 GHz-days
Estimated T-Level:3.600
DigitsB1CurvesCompleteFacMiss
201100072 / 1000.72048.499%
255000072 / 2800.25777.290%

New Calculation Method

Total ECM effort:6.395 GHz-days
Estimated T-Level:3.600
DigitsB1CompleteFacMiss
20110002.3239.802%
25500000.21081.066%
302500000.01398.716%


ECM Summary

B1B2factorcurvesGHz-days
500005000000696.128
50000500000030.266


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computersA2EC17E945BD997D0.160
2018-05-11T05:32:57kkmrkkblmbrbkoldA2EC17E945BD997D0.160


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-18T11:26:37CrypticCluecruncher
59315153259370195462684127
FBB2DC635943D399no
2020-07-21T01:15:52daveward2005Davy
59315153259370195462684127
FBB2DC635943D399no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 90000, B2 = 1822500 (P-1 stage 2)
B1 = 144340 (P-1 stage 1)
B1 = 117170 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
109
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: 2020-07-21T01:15:52+00:00