is 2 2979311 - 1
has 896862 decimal digits
takes 0.254 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L73E64DA96CCF06A3double-checked
PRP165B2437E6199AB0verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26820.006367.6471%1000000200000000.25125.5499%20.257469.4426%1.7956%
PrimeNet2600.051663.3333%120002200000.00292.5119%0.054464.2544%0.9210%
GPU722641.194765.6250%130002000000.00291.3850%1.197566.1011%0.4761%
Difference+4+18.8116+2.0221%+987000+19800000+0.2483+4.1649%+19.0599+3.3415%+3.3415%

Known prime factors (1 factor, 76.4 bits, 0.00256581% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29793111027410351959743397094232476.44317242415309441401
19 × 80783 × 11233744013
2020-09-1380783112337440135,738.375.543141.07

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.247%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.146%
2010-10-26T01:40:00markrtiny950001995000---0.024--2.460%
2015-05-08T13:54:00VictordeHollanderManual testing100000020000000---0.251--5.550%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21260--0.052--
2009-02-14T11:18:00Sturle Sundeiago.ifi260261--0.052--
2011-11-29T11:41:00markroldgamer261262--0.103--
2013-01-07T13:51:00dbaughManual testing262263--0.329--
2015-04-29T14:58:00VictordeHollanderManual testing263264--0.659--
2015-04-29T14:58:00VictordeHollanderManual testing264265--1.254--
2016-02-28T22:17:43ramgeisManual testing265266--2.508--
2017-12-03T16:23:25Gordon SpenceManual testing266267--5.016--
2018-12-27T01:47:28chuenkitManual testing267268--10.03--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.088 GHz-days
Estimated T-Level:0.900
DigitsB1CurvesCompleteFacMiss
201100018 / 1000.18083.451%
255000018 / 2800.06493.763%

New Calculation Method

Total ECM effort:2.088 GHz-days
Estimated T-Level:0.900
DigitsB1CompleteFacMiss
20110000.58155.954%
25500000.05294.888%
302500000.00399.677%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.740
50000500000030.348


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00ANONYMOUSv4_computers73E64DA96CCF06A30.254
2018-10-19T17:07:52kkmrkkblmbrbkold73E64DA96CCF06A30.254


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-13T18:21:53ATHec2-PRPCF
102741035195974339709423
165B2437E6199AB0no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 95000, B2 = 1995000 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-09-13T18:21:53+00:00