is 2 2810341 - 1
has 845997 decimal digits
takes 0.217 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8B9112C02153A27Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.573167.1642%40000040000000.06683.9671%10.639868.4668%1.3026%
PrimeNet2590.027362.7119%120002400000.00272.9291%0.030163.8041%1.0922%
GPU722630.567965.0794%150002600000.00321.7910%0.571165.7048%0.6254%
Difference+4+10.0052+2.0848%+385000+3740000+0.0636+2.1761%+10.0687+2.7620%+2.7620%

Known prime factors (1 factor, 67.8 bits, 0.00241396% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28103412642723117997113123272167.84147017837301543
491 × 95759342773
2018-12-194919575934277320.571584.291,091.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.301%
2010-11-12T22:13:00Jocelyn LaroucheManual testing1500015000---0.002--0.253%
2010-11-18T06:29:00markrtiny1000002100000---0.023--2.805%
2016-05-10T14:52:21Jocelyn LaroucheManual testing20000036000006---0.043--3.553%
2017-07-30T01:18:52Jocelyn Larouchelow 4M40000040000006---0.067--3.967%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.055--
2009-02-13T05:00:00Sturle Sundemorovan.ifi260261--0.055--
2012-02-25T21:05:00Grant McCrackenthumper261262--0.109--
2013-01-14T12:31:00dbaughManual testing262263--0.349--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.699--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.330--
2016-02-11T09:59:20ramgeisManual testing265266--2.659--
2017-10-24T17:48:48Gordon SpenceManual testing266267--5.318--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.919 GHz-days
Estimated T-Level:1.400
DigitsB1CurvesCompleteFacMiss
201100028 / 1000.28075.472%
255000028 / 2800.10090.468%

New Calculation Method

Total ECM effort:2.919 GHz-days
Estimated T-Level:1.400
DigitsB1CompleteFacMiss
20110000.90340.526%
25500000.08292.161%
302500000.00599.499%


ECM Summary

B1B2factorcurvesGHz-days
500005000000272.815
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-22T00:00:00ANONYMOUSv4_computers8B9112C02153A27F0.217
2018-09-03T16:58:37kkmrkkblmbrbkold8B9112C02153A27F0.217


PRP results:
dateuseridcompidcofactorsres64PRP
2018-12-21T18:09:50EthanDLexxBuntu
264272311799711312327
719E0B9ECE34F9__no
2018-12-23T12:49:51arnaudstm-11-010
264272311799711312327
719E0B9ECE34F99Bno


P-1 factor-bounds graph:
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2018-12-23T12:49:51+00:00