is 2 2231357 - 1
has 671706 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEDBE748573364B9Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.712467.6471%2000000650000000.51797.0371%27.230369.9238%2.2767%
PrimeNet2580.017262.0690%100001800000.00182.8705%0.019063.1578%1.0888%
GPU722620.275364.5161%110001800000.00191.6315%0.277365.0951%0.5789%
Difference+6+26.4371+3.1309%+1989000+64820000+0.5160+5.4056%+26.9530+4.8287%+4.8287%

Known prime factors (1 factor, 92.8 bits, 0.00416054% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
223135788427458862735485275631441272892.8371981472683724197546059
32 × 37 × 74476861 × 79895531843
2020-03-067447686179895531843511,660,484421.71775.10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.227%
2010-10-26T11:35:00Oscar Östlin7501175011---0.007--0.675%
2011-01-13T18:01:00Oscar Östlin850001615000---0.016--2.184%
2014-05-26T23:57:00Jocelyn LaroucheManual testing113765113765---0.011--0.869%
2014-09-30T23:23:00Jocelyn LaroucheManual testing142530142530---0.014--0.987%
2015-05-07T00:44:00Squeeky_SquirrelP4_26001600004600000---0.038--3.138%
2015-11-25T15:43:19Alexander DubrovinManual testing10000001000000012---0.142--4.672%
2016-01-06T13:56:05Alexander DubrovinManual testing20000006500000012---0.518--7.037%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:09Mark RoseManual testing21260--0.069--
2009-01-10T20:02:00Sturle Sundemorovan.ifi260261--0.069--
2012-04-20T15:47:00Sebastian HornbostelManual testing261262--0.138--
2013-01-23T08:24:00dbaughManual testing262263--0.440--
2015-03-06T11:16:00VictordeHollanderManual testing263264--0.880--
2015-03-06T11:16:00VictordeHollanderManual testing264265--1.674--
2015-10-25T20:35:10ramgeisManual testing265266--3.349--
2016-12-24T00:01:00Gordon SpenceManual testing266267--6.698--
2019-04-15T13:43:06TJAOIManual testing267268--13.40--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.374 GHz-days
Estimated T-Level:2.550
DigitsB1CurvesCompleteFacMiss
201100051 / 1000.51059.896%
255000051 / 2800.18283.321%

New Calculation Method

Total ECM effort:4.374 GHz-days
Estimated T-Level:2.550
DigitsB1CompleteFacMiss
20110001.64519.298%
25500000.14986.184%
302500000.00999.089%


ECM Summary

B1B2factorcurvesGHz-days
500005000000484.117
50000500000030.257


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computersEDBE748573364B9D0.147
1999-02-21T00:00:00ANONYMOUSv4_computersEDBE748573364B9D0.147
1999-03-01T00:00:00ANONYMOUSv4_computersEDBE748573364B9D0.147
1999-05-16T00:00:00ANONYMOUSv4_computersEDBE748573364B9D0.147
2018-04-20T13:09:11kkmrkkblmbrbkoldEDBE748573364B9D0.147


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-08T17:32:18Bommer2600X
8842745886273548527563144127
8624B096FD3B6C6Dno
2020-03-10T16:44:28daveward2005Davy
8842745886273548527563144127
8624B096FD3B6C6Dno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1615000 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142530 (P-1 stage 1)
B1 = 113765 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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105
106
107
108
102
103
104
105
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109
1010
1011
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2020-03-10T16:44:28+00:00