is 2 2774957 - 1
has 835346 decimal digits
takes 0.214 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7439BF57700D3EEDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.707967.1642%14200047850000.04423.5692%10.752168.3362%1.1720%
PrimeNet2590.027762.7119%120002200000.00262.8571%0.030363.7772%1.0654%
GPU722630.575265.0794%150002400000.00311.7469%0.578265.6894%0.6100%
Difference+4+10.1327+2.0848%+127000+4545000+0.0412+1.8224%+10.1739+2.6468%+2.6468%

Known prime factors (1 factor, 72.1 bits, 0.00260003% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
277495752386221185699766536092272.150943910503580772
22 × 32 × 7 × 13 × 61 × 4723425727
2017-01-26614723425727582.7828.82153.829

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.300%
2010-11-10T22:06:00Jocelyn LaroucheManual testing1500015000---0.002--0.252%
2010-11-28T20:41:00markrtiny1100002392500---0.026--2.936%
2016-08-27T21:43:39Jocelyn Larouchelow4M14200047850006---0.044--3.569%
2016-10-27T01:50:45Jocelyn Larouchelow 4M170400170400---0.019--1.290%
2016-12-24T02:28:28Jocelyn Larouchelow 4M204480204480---0.023--1.414%
2017-02-25T21:07:58Jocelyn Larouchelow 4M29445129445106---0.049--3.563%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.055--
2009-01-29T01:22:00Sturle Sundebruckner.ifi260261--0.055--
2012-03-24T10:42:00Grant McCrackenthumper261262--0.111--
2013-01-10T10:21:00dbaughManual testing262263--0.354--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.708--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.346--
2015-12-07T04:59:49omylistManual testing265266--2.693--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.977 GHz-days
Estimated T-Level:0.950
DigitsB1CurvesCompleteFacMiss
201100019 / 1000.19082.617%
255000019 / 2800.06893.428%

New Calculation Method

Total ECM effort:1.977 GHz-days
Estimated T-Level:0.950
DigitsB1CompleteFacMiss
20110000.61354.178%
25500000.05594.611%
302500000.00399.659%


ECM Summary

B1B2factorcurvesGHz-days
500005000000181.873
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00Ian Lowmanv4_computers7439BF57700D3EED0.214


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-21T02:37:30Oliver KruseGTX-3
5238622118569976653609
8083E7E04A6149__no
2017-12-06T15:01:35kkmrkkblmbrbkold
5238622118569976653609
8083E7E04A6149__no


P-1 factor-bounds graph:
B1 = 294451, B2 = 2944510 (P-1 stage 2)
B1 = 142000, B2 = 4785000 (P-1 stage 2)
B1 = 294451 (P-1 stage 1)
B1 = 110000, B2 = 2392500 (P-1 stage 2)
B1 = 204480 (P-1 stage 1)
B1 = 170400 (P-1 stage 1)
B1 = 142000 (P-1 stage 1)
B1 = 110000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
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109
1010
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2017-12-06T15:01:35+00:00