is 2 2793563 - 1
has 840947 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LABD404F0FF457FEBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26710.636667.1642%40000040000000.06683.9640%10.703368.4658%1.3016%
PrimeNet2590.027562.7119%120002400000.00272.9259%0.030263.8029%1.0910%
GPU722630.571365.0794%150002600000.00321.7890%0.574565.7041%0.6247%
Difference+4+10.0652+2.0848%+385000+3740000+0.0636+2.1751%+10.1288+2.7617%+2.7617%

Known prime factors (1 factor, 74.4 bits, 0.00266484% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2793563256983830406627305054872374.4444599571056865861
474169 × 9700277869
2018-01-2047416997002778692,419.359.238110.55

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.300%
2010-11-14T17:34:00Jocelyn LaroucheManual testing1500015000---0.002--0.253%
2010-11-22T15:18:00markrtiny1000002075000---0.023--2.795%
2014-11-03T03:43:00Jocelyn LaroucheManual testing122976122976---0.014--1.086%
2016-05-07T02:42:11Jocelyn LaroucheManual testing20000036000006---0.043--3.550%
2017-07-30T01:18:50Jocelyn Larouchelow 4M40000040000006---0.067--3.964%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.055--
2009-02-14T04:50:00Sturle Sundegofy.ifi260261--0.055--
2012-03-07T12:56:00Grant McCrackenthumper261262--0.110--
2013-01-10T10:21:00dbaughManual testing262263--0.351--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.703--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.337--
2016-02-09T10:41:51ramgeisManual testing265266--2.675--
2017-10-19T22:32:33Gordon SpenceManual testing266267--5.350--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.812 GHz-days
Estimated T-Level:1.350
DigitsB1CurvesCompleteFacMiss
201100027 / 1000.27076.234%
255000027 / 2800.09690.792%

New Calculation Method

Total ECM effort:2.812 GHz-days
Estimated T-Level:1.350
DigitsB1CompleteFacMiss
20110000.87141.855%
25500000.07992.430%
302500000.00599.516%


ECM Summary

B1B2factorcurvesGHz-days
500005000000242.499
50000500000030.312


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12T00:00:00ANONYMOUSv4_computersABD404F0FF457FEB0.216


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-21T10:58:41NetaniasWin10
25698383040662730505487
AC9C6799584D41__no
2018-01-21T11:29:09ATHec2-1xf
25698383040662730505487
AC9C6799584D41__no


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 = 2075000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 122976 (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
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2018-01-21T11:29:09+00:00