is 2 281063 - 1
has 84609 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L02DE714E3157AB1Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267105.719871.6418%6000000030000000002.181613.0597%107.901475.3453%3.7035%
PrimeNet2400.000052.5000%3000800000.000115.0197%0.000159.6344%7.1344%
GPU722440.000056.8182%50001300000.000110.8452%0.000161.5013%4.6832%
Difference+23+105.7198+14.8236%+59995000+2999870000+2.1815+2.2145%+107.9013+13.8439%+13.8439%

Known prime factors (1 factor, 87.8 bits, 0.03124092% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2810632706710234483047186415506972787.807481513083273687249196
22 × 557 × 18839 × 47279 × 242642447
2016-05-1347279242642447143,763,5530.13140.2446

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.364%
2001-04-29T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.285%
2001-06-30T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.760%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.586%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.094%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.028%
2006-01-15T00:00:00Jocelyn Larouchev4_computers281063281063---0.003--1.133%
2011-02-16T23:34:00Jocelyn LaroucheManual testing20000002000000---0.020--2.641%
2012-02-26T15:18:00Jocelyn LaroucheManual testing21528862152886---0.021--2.712%
2012-05-15T07:17:00Jocelyn LaroucheManual testing51669275166927---0.051--3.632%
2013-11-01T14:20:00David Campeaui5-2500k5335000202730000---0.159--8.027%
2016-05-13T16:46:52mikrS052600000003000000000122787.8072.1820.0044.36313.060%
2016-05-13T23:04:32mognutsManual testing314378575---7.18626e-5--0.163%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.009--
2022-03-07T06:11:32LordJuliusManual testing254255--0.009--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.034--
2002-03-16T00:00:00ANONYMOUSv4_computers21257--0.068--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.137--
2009-01-02T06:27:00Sturle Sundejodel.ifi258259--0.137--
2009-01-23T19:26:00Sturle Sundegoldiek.ifi259260--0.273--
2013-06-24T20:14:00lycornasteroid260261--0.546--
2015-08-13T13:31:00NRManual testing261262--1.093--
2016-01-04T23:55:21Gordon SpenceManual testing262263--3.493--
2016-01-04T23:55:21Gordon SpenceManual testing263264--6.985--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.952 GHz-days
Estimated T-Level:26.453
DigitsB1CurvesCompleteFacMiss
2011000468 / 1004.6800.906%
2550000468 / 2801.67118.742%
30250000186 / 6400.29174.763%

New Calculation Method

Total ECM effort:8.952 GHz-days
Estimated T-Level:26.453
DigitsB1CompleteFacMiss
201100024.5970.000%
25500003.0794.602%
302500000.29474.506%
3510000000.02397.765%
4030000000.00199.856%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002822.062
250000250000001726.287
25000038500000140.604


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-03T00:00:00ANONYMOUSv4_computers02DE714E3157AB1C0.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T11:35:53Oliver KruseOllaptop
270671023448304718641550697
57094000DD726A__no
2017-09-22T20:36:07Oliver KruseManual testing
270671023448304718641550697
57094000DD726A__no
2017-10-12T19:08:21Oliver KruseGTX-257094000DD726A__no
2017-11-06T16:11:54kkmrkkblmbrbkc4.xlarge
270671023448304718641550697
57094000DD726A__no
2020-04-17T22:10:22Oliver KruseAddPrpType5
270671023448304718641550697
99733062602D09__no


P-1 factor-bounds graph:
B1 = 60000000, B2 = 3000000000 (P-1 stage 2)
B1 = 60000000 (P-1 stage 1)
B1 = 5335000, B2 = 202730000 (P-1 stage 2)
B1 = 5335000 (P-1 stage 1)
B1 = 5166927 (P-1 stage 1)
B1 = 2152886 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 281063 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 3143, B2 = 78575 (P-1 stage 2)
B1 = 3143 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
264
263
262
261
260
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-05-05T02:25:26+00:00