is 2 559877 - 1
has 168540 decimal digits
takes 0.008 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2D42B8F01FABDDC7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26753.072270.1493%1500000018150000002.390912.1713%55.463273.7825%3.6332%
PrimeNet2400.000050.0000%55001900000.000319.8120%0.000359.9060%9.9060%
GPU722440.000054.5455%100003200000.000615.0176%0.000661.3716%6.8262%
Difference+23+53.0722+15.6038%+14990000+1814680000+2.3904-2.8463%+55.4626+12.4109%+12.4109%

Known prime factors (1 factor, 86.8 bits, 0.01550496% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5598771355246522084750355729230232786.809121030737294508468443
32 × 17 × 149 × 5309064231894919
2013-09-18149530906423189491942,549,8306,116,48411,423,890

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.183%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.397%
2002-03-03T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.724%
2002-04-28T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.187%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.793%
2002-09-14T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.540%
2003-05-19T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.415%
2011-06-25T17:15:00Jocelyn LaroucheManual testing362144362144---0.008--1.437%
2011-08-20T14:17:00Jocelyn LaroucheManual testing704779704779---0.015--1.935%
2012-03-05T12:57:00Jocelyn LaroucheManual testing880974880974---0.019--2.122%
2012-07-14T15:57:00Jocelyn LaroucheManual testing11197541119754---0.024--2.333%
2012-10-12T21:13:00Jocelyn LaroucheManual testing35869913586991---0.076--3.516%
2016-03-17T18:48:47alpertronManual testing15000005000000012---0.088--6.175%
2021-08-13T09:26:50ViliamF3150000001815000000---2.391--12.171%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-05T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:27:20LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.017--
2002-01-15T00:00:00ANONYMOUSv4_computers21257--0.034--
2003-12-13T00:00:00ANONYMOUSv4_computers21258--0.069--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.296 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:17.296 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100024.7690.000%
25500003.1314.366%
302500000.30074.067%
3510000000.02397.712%
4030000000.00199.851%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002804.529
25000025000000443.559
250000350000001009.208


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-06-15T00:00:00ANONYMOUSv4_computers2D42B8F01FABDDC70.008


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T11:01:54Oliver KruseGTX-0
135524652208475035572923023
40B0BB25EDAE7A__no
2017-11-04T02:58:15kkmrkkblmbrbkc4.xlarge
135524652208475035572923023
40B0BB25EDAE7A__no
2020-04-19T07:25:41Oliver KruseAddPrpType5
135524652208475035572923023
312D7240C55950__no


P-1 factor-bounds graph:
B1 = 15000000, B2 = 1815000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 3586991 (P-1 stage 1)
B1 = 1500000 (P-1 stage 1)
B1 = 1119754 (P-1 stage 1)
B1 = 880974 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 704779 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 362144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T08:27:20+00:00