is 2 8275997 - 1
has 2491324 decimal digits
takes 2.161 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD084E80E48F54C11double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272115.555168.0556%299990029999001.13582.8275%116.690968.9588%0.9032%
PrimeNet2640.430164.0625%340009000000.03073.1668%0.460865.2006%1.1381%
GPU722687.202166.1765%5000011000000.04062.1827%7.242766.9147%0.7383%
Difference+4+108.3530+1.8791%+2949900+1899900+1.0952+0.6448%+109.4482+2.0440%+0.1650%

Known prime factors (1 factor, 134.9 bits, 0.00163051% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
82759974180013459623386008619862948625433335855941134.9412525383624246955387139376046550907
71 × 2731 × 27073 × 89821 × 1232909 × 1767187 × 2458213
2022-11-15176718724582131.955e+100.68331.3617

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-08-24T00:00:00Wojciech Florekv4_computers35000175000---0.016--0.653%
2012-07-10T08:38:00James Heinrich3930K2100004725000---0.173--2.558%
2022-11-15T19:27:52linamentMIWL2999900299990041134.9411.1364.3222.2722.827%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-27T00:00:00ANONYMOUSv4_computers21261--0.037--
1998-10-29T00:00:00PhillTv4_computers21263--0.193--
2000-01-19T00:00:00ANONYMOUSv4_computers21264--0.430--
2013-12-30T18:11:00David CampeauManual testing264265--0.451--
2015-06-03T12:25:00VictordeHollanderManual testing265266--0.903--
2015-12-18T21:13:36snme2pm1Manual testing266267--1.806--
2018-01-02T06:30:10monstManual testing267268--3.612--
2020-01-17T11:06:01TJAOIManual testing268269--7.224--
2021-08-19T16:20:35SRBaseManual testing269270--14.45--
2021-08-31T20:36:13SRBaseManual testing270271--28.89--
2021-10-05T16:22:17SRBaseManual testing271272--57.79--


ECM factoring results:
Total ECM effort:1.191 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-27T00:00:00ANONYMOUSv4_computersD084E80E48F54C112.161
2002-10-07T00:00:00Wojciech Florekv4_computersD084E80E48F54C112.161
2003-04-10T00:00:00Wojciech Florekv4_computersD084E80E48F54C112.161


PRP results:
dateuseridcompidcofactorsres64PRP
2022-11-21T19:11:18Lukelini
41800134596233860086198629486254333358559
0A110B2FA82116C1no


P-1 factor-bounds graph:
B1 = 2999900 (P-1 stage 1)
B1 = 210000, B2 = 4725000 (P-1 stage 2)
B1 = 210000 (P-1 stage 1)
B1 = 35000, B2 = 175000 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
261
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2022-11-21T19:11:18+00:00