is 2 2783923 - 1
has 838045 decimal digits
takes 0.215 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0ECC43AF2074D31Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.673467.1642%10000020750000.02332.7936%10.696668.0815%0.9173%
PrimeNet2590.027662.7119%120002200000.00262.8588%0.030263.7779%1.0660%
GPU722630.573365.0794%150002400000.00311.7479%0.576465.6898%0.6104%
Difference+4+10.1001+2.0848%+85000+1835000+0.0202+1.0457%+10.1203+2.3917%+2.3917%

Known prime factors (1 factor, 73.6 bits, 0.00264276% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2783923140442427684027612498732373.5722522383479787832
23 × 1027421 × 306882899
2015-03-1710274213068828991,048.81.98133.4973

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-17T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.300%
2010-11-11T04:19:00Jocelyn LaroucheManual testing1500015000---0.002--0.253%
2010-11-25T17:51:00markrtiny1000002075000---0.023--2.794%
2014-10-28T23:25:00Jocelyn LaroucheManual testing123055123055---0.014--1.086%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-01-28T15:29:00Sturle Sundegimba.ifi260261--0.055--
2012-04-03T06:33:00Grant McCrackenhome261262--0.110--
2013-01-14T12:31:00dbaughManual testing262263--0.353--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.041 GHz-days
Estimated T-Level:0.500
DigitsB1CurvesCompleteFacMiss
201100010 / 1000.10090.438%
255000010 / 2800.03696.485%

New Calculation Method

Total ECM effort:1.041 GHz-days
Estimated T-Level:0.500
DigitsB1CompleteFacMiss
20110000.32372.428%
25500000.02997.127%
302500000.00299.821%


ECM Summary

B1B2factorcurvesGHz-days
50000500000090.937
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00Vassilov4_computers0ECC43AF2074D31C0.215


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-21T07:16:07Oliver KruseGTX-0
14044242768402761249873
4136CCB66B3425__no
2017-12-06T08:55:20kkmrkkblmbrbkc4.xlarge
14044242768402761249873
4136CCB66B3425__no


P-1 factor-bounds graph:
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 123055 (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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
263
262
261
250
260
270
280
290
2100
Last modified: 2017-12-06T08:55:20+00:00