is 2 9328027 - 1
has 2808016 decimal digits
takes 2.578 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3D62B70D828FDB2Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.185464.1791%17500038500000.15044.1597%3.335865.6691%1.4900%
PrimeNet2640.381662.5000%4000011000000.03923.4907%0.420763.8090%1.3090%
GPU722686.389964.7059%6000014000000.05332.4568%6.443265.5730%0.8671%
Difference-1-3.2044-0.5268%+115000+2450000+0.0971+1.7028%-3.1074+0.0961%+0.0961%

Known prime factors (1 factor, 74.7 bits, 0.00080035% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9328027297878715735047054809272374.6571596686607655869
3 × 23 × 3499 × 6613428299
2014-07-1934996613428299522.81144.40269.70

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-08T00:00:00Dr. Nowakv4_computers125000125000---0.050--1.355%
2012-08-16T17:40:00James Heinrichi7-9201750003850000---0.150--4.160%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-14T00:00:00ANONYMOUSv4_computers21255--0.001--
1999-02-21T00:00:00ANONYMOUSv4_computers21262--0.066--
1999-03-26T00:00:00ANONYMOUSv4_computers21264--0.382--
2013-09-06T00:59:00NesowaManual testing264265--0.401--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.261 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:1.261 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.261


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-15T00:00:00ANONYMOUSv4_computersF9B43FE03A1916__2.578
2001-05-20T00:00:00Dr. Nowakv4_computers3D62B70D828FDB2E2.578
2003-04-19T00:00:00shaneamyv4_computers97021D1598FF3F__2.578
2003-06-17T00:00:00ANONYMOUSv4_computers3D62B70D828FDB2E2.578


PRP results:
dateuseridcompidcofactorsres64PRP
2019-08-26T14:18:24mnd925836b
29787871573504705480927
7B66A0C89B8FC3__no
2020-11-13T22:13:42oodairacom2
29787871573504705480927
7B66A0C89B8FC387no


P-1 factor-bounds graph:
B1 = 175000, B2 = 3850000 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 125000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
265
264
262
255
250
260
270
280
290
2100
Last modified: 2020-11-13T22:13:42+00:00