is 2 865577 - 1
has 260565 decimal digits
takes 0.021 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF8F06A124D65C1__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26734.328570.1493%131072131072000.02953.6309%34.357971.2331%1.0839%
PrimeNet2400.000050.0000%80003400000.000923.0553%0.000961.5277%11.5277%
GPU722440.000054.5455%140005500000.001517.6038%0.001562.5472%8.0017%
Difference+23+34.3284+15.6038%+117072+12557200+0.0279-13.9729%+34.3564+8.6859%+8.6859%

Known prime factors (1 factor, 62.7 bits, 0.00724446% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
86557775250822205719346871962.7064346858927959
23 × 29 × 167 × 39024131
2008-01-25167390241311.65710.07480.1396

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-08-24T00:00:00ANONYMOUSv4_computers10000130000---0.001--0.518%
2002-05-25T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.293%
2002-06-29T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.936%
2002-12-16T00:00:00ANONYMOUSv4_computers655376553700---0.015--2.720%
2003-02-09T00:00:00ANONYMOUSv4_computers2048204800---0.000--0.214%
2003-08-25T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.631%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-24T00:00:00ANONYMOUSv4_computers21255--0.006--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.011--
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.022--
2003-02-16T00:00:00ANONYMOUSv4_computers21258--0.044--
2003-03-07T00:00:00ANONYMOUSv4_computers21259--0.089--
2004-05-11T00:00:00Sturle Sundev4_computers21260--0.177--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.927 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000322 / 1003.2203.931%
2550000322 / 2801.15031.599%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:13.927 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.6920.000%
25500001.60920.008%
302500000.13187.737%
3510000000.00999.133%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002787.775
25000025000000446.153


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-01-28T00:00:00ANONYMOUSv4_computersF8F06A124D65C1__0.021


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T05:23:50Oliver KruseGTX-2
7525082220571934687
DAEC67051C1C43__no
2017-10-14T11:00:36Oliver KruseThreadripperDAEC67051C1C43__no
2017-12-20T00:03:21ATHxps
7525082220571934687
DAEC67051C1C43__no
2020-04-22T07:57:49Oliver KruseAddPrpType5
7525082220571934687
DECD3FA94F240F__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (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 = 65537 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 10000, B2 = 130000 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
TF factor-bounds graph:
267
260
259
258
257
256
255
250
260
270
280
290
2100
Last modified: 2020-04-22T07:57:49+00:00