is 2 282809 - 1
has 85134 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-L1550F34942A05B15double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267105.067171.6418%53000002014000000.15848.0198%105.225573.9161%2.2743%
PrimeNet2400.000052.5000%3000800000.000115.0325%0.000159.6404%7.1404%
GPU722440.000056.8182%50001300000.000110.8552%0.000161.5057%4.6875%
Difference+23+105.0671+14.8236%+5295000+201270000+0.1583-2.8353%+105.2253+12.4104%+12.4104%

Known prime factors (1 factor, 106.1 bits, 0.03751669% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2828098698779338628820232485200110601732106.101153792477230724981038177712
24 × 32 × 1068003314102256812765123
2015-12-271610680033141022568127651236.167e+115.765e+141.077e+15

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers1000004000000---0.003--2.288%
2001-07-03T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.763%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.588%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.278%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.097%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.032%
2006-01-15T00:00:00Jocelyn Larouchev4_computers282809282809---0.003--1.138%
2011-02-18T00:28:00Jocelyn LaroucheManual testing20000002000000---0.020--2.643%
2012-02-26T15:18:00Jocelyn LaroucheManual testing21356682135668---0.021--2.707%
2012-05-15T07:17:00Jocelyn LaroucheManual testing51256045125604---0.051--3.625%
2013-11-02T06:50:00David Campeaui5-2500k5300000201400000---0.158--8.020%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:11:35LordJuliusManual testing254255--0.008--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.034--
2002-03-10T00:00:00ANONYMOUSv4_computers21257--0.068--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.136--
2009-01-01T18:32:00Sturle Sundescarpia.ifi258259--0.136--
2009-01-27T00:28:00Sturle Sundegoldiek.ifi259260--0.272--
2013-06-24T20:14:00lycornasteroid260261--0.543--
2015-08-13T13:31:00NRManual testing261262--1.086--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.934 GHz-days
Estimated T-Level:26.453
DigitsB1CurvesCompleteFacMiss
2011000466 / 1004.6600.925%
2550000466 / 2801.66418.876%
30250000186 / 6400.29174.763%

New Calculation Method

Total ECM effort:8.934 GHz-days
Estimated T-Level:26.453
DigitsB1CompleteFacMiss
201100024.5320.000%
25500003.0684.650%
302500000.29374.569%
3510000000.02397.772%
4030000000.00199.856%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002802.047
250000250000001696.179
2500002500000030.110
2500003675000070.296
2500003850000070.302


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-03T00:00:00ANONYMOUSv4_computers1550F34942A05B150.002


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T11:53:18Oliver KruseOllaptop
86987793386288202324852001106017
39059AAA883624__no
2017-09-22T20:36:13Oliver KruseManual testing
86987793386288202324852001106017
39059AAA883624__no
2017-10-13T05:44:01kkmrkkblmbrbkc4.xlarge39059AAA883624__no
2020-04-17T21:22:03Oliver KruseAddPrpType5
86987793386288202324852001106017
3627B9C80F110D__no


P-1 factor-bounds graph:
B1 = 5300000, B2 = 201400000 (P-1 stage 2)
B1 = 5300000 (P-1 stage 1)
B1 = 5125604 (P-1 stage 1)
B1 = 2135668 (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 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 282809 (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 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-20T15:20:30+00:00