is 2 555857 - 1
has 167330 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-L2D1540D56E9A19__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26753.456070.1493%1500000500000000.08766.1700%53.543671.9911%1.8418%
PrimeNet2400.000050.0000%55001900000.000319.7956%0.000359.8978%9.8978%
GPU722440.000054.5455%100003200000.000615.0044%0.000661.3657%6.8202%
Difference+23+53.4560+15.6038%+1490000+49680000+0.0870-8.8344%+53.5431+10.6254%+10.6254%

Known prime factors (2 factors, 147.2 bits, 0.02648467% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
55585718476797963260429220072270.6461662010010061979
101 × 4159 × 3956610881
2016-03-2441593956610881576.914.55848.5137
5558571122208134800756768294332476.571100943959939404988
22 × 7 × 303539 × 11877028739
2008-01-143035391187702873932,70513.68925.557

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
55585720734812979440907856581510038462456066103203145147.217
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.538%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.185%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.791%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.537%
2003-05-11T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.411%
2016-03-17T18:48:42alpertronManual testing15000005000000012---0.088--6.170%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-27T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:27:13LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.017--
2002-01-15T00:00:00ANONYMOUSv4_computers21257--0.035--
2003-12-13T00:00:00ANONYMOUSv4_computers21258--0.069--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.168 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:16.168 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002784.495
50000500000020.032
2500002500000014411.64


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-05-25T00:00:00ANONYMOUSv4_computers2D1540D56E9A19__0.008


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:55:40Oliver KruseGTX-3
1847679796326042922007
112220813480075676829433
3D4B3A8EF66E239Ano
2017-09-28T09:43:12Oliver KruseManual testing
1847679796326042922007
112220813480075676829433
3D4B3A8EF66E23__no
2017-10-13T15:31:25kkmrkkblmbrbkc4.xlarge3D4B3A8EF66E23__no
2020-04-19T06:31:44Oliver KruseAddPrpType5
1847679796326042922007
112220813480075676829433
6400696316D624__no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T08:27:13+00:00