is 2 2357591 - 1
has 709706 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L02708CC65C6F1B61double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26825.282167.6471%30000001000000000.81157.8330%26.093770.1812%2.5342%
PrimeNet2580.016362.0690%110002000000.00213.0504%0.018463.2260%1.1571%
GPU722620.260664.5161%130002200000.00241.8367%0.263065.1678%0.6517%
Difference+6+25.0215+3.1309%+2987000+99780000+0.8092+5.9963%+25.8307+5.0134%+5.0134%

Known prime factors (1 factor, 81.8 bits, 0.00346785% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
235759140879296092540410055580732581.758866971754060403396
22 × 3 × 431 × 5581489 × 30032837
2020-07-04558148930032837236,3220.67721.1127

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%
2010-12-22T10:06:00Oscar Östlin7501175011---0.007--0.682%
2011-01-23T07:54:00Oscar Östlin900001822500---0.018--2.297%
2014-08-07T10:52:00Jocelyn LaroucheManual testing117225117225---0.011--0.893%
2014-10-22T23:53:00Jocelyn LaroucheManual testing144450144450---0.014--1.004%
2015-08-09T17:25:00mikrMSI3000000100000000---0.812--7.833%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:12Mark RoseManual testing21260--0.065--
2009-01-17T01:14:00Sturle Sundekinner.ifi260261--0.065--
2012-05-29T19:43:00Sebastian HornbostelManual testing261262--0.130--
2013-01-23T08:26:00dbaughManual testing262263--0.416--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.833--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.585--
2015-10-28T09:42:39ramgeisManual testing265266--3.170--
2017-06-13T16:34:54Gordon SpenceManual testing266267--6.339--
2019-04-29T13:20:25TJAOIManual testing267268--12.68--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.860 GHz-days
Estimated T-Level:3.300
DigitsB1CurvesCompleteFacMiss
201100066 / 1000.66051.514%
255000066 / 2800.23678.967%

New Calculation Method

Total ECM effort:5.860 GHz-days
Estimated T-Level:3.300
DigitsB1CompleteFacMiss
20110002.12911.895%
25500000.19282.496%
302500000.01298.822%


ECM Summary

B1B2factorcurvesGHz-days
500005000000635.594
50000500000030.266


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers02708CC65C6F1B610.159
2018-05-10T13:02:07kkmrkkblmbrbkold02708CC65C6F1B610.159


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-05T08:20:49Christoph ZengerManual testing
4087929609254041005558073
4A26E020294C4772no
2020-07-05T18:18:54oodairacom1
4087929609254041005558073
4A26E020294C4772no


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 = 144450 (P-1 stage 1)
B1 = 117225 (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
102
103
104
105
106
107
108
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-07-05T18:18:54+00:00