is 2 557483 - 1
has 167820 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-LFFFC7D8B34503E__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26753.300170.1493%1500000500000000.08766.1720%53.387771.9916%1.8424%
PrimeNet2400.000050.0000%55001900000.000319.8022%0.000359.9011%9.9011%
GPU722440.000054.5455%100003200000.000615.0098%0.000661.3681%6.8226%
Difference+23+53.3001+15.6038%+1490000+49680000+0.0870-8.8377%+53.3872+10.6236%+10.6236%

Known prime factors (2 factors, 134.0 bits, 0.02404375% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
55748369623175940802563131962.5946244421438932
22 × 197 × 7924392689
2008-01-1419779243926891.21339.129617.051
55748332155554112746356710872271.4462883994140874821
3 × 13 × 1061 × 69697047799
2015-07-311061696970477991,296.080.297149.97

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
5574832238771801465737052030511809405772332223141134.040
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.539%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.186%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.792%
2002-09-14T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.538%
2003-05-11T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.413%
2016-03-17T18:48:44alpertronManual testing15000005000000012---0.088--6.172%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-03-28T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:27:17LordJuliusManual 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:17.291 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:17.291 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
5000050000002524.075
500005000000280.453
25000025000000443.558
250000350000001009.205


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-06-09T00:00:00ANONYMOUSv4_computersFFFC7D8B34503E__0.008


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T10:57:46Oliver KruseGTX-3
6962317594080256313
3215555411274635671087
1FEBD7096147A310no
2017-09-28T09:43:14Oliver KruseManual testing
6962317594080256313
3215555411274635671087
1FEBD7096147A3__no
2017-10-13T10:05:18Oliver KruseGTX-11FEBD7096147A3__no
2017-12-15T17:04:42ATHec2-1xf
6962317594080256313
3215555411274635671087
1FEBD7096147A3__no
2020-04-19T06:46:17Oliver KruseAddPrpType5
6962317594080256313
3215555411274635671087
74702F1BF4B96C__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)
101
102
103
104
105
106
107
101
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: 2022-03-07T08:27:17+00:00