is 2 8414191 - 1
has 2532924 decimal digits
takes 2.197 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L218A273FB6831CF8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.531464.1791%10000018250000.07343.1937%3.604865.3231%1.1440%
PrimeNet2640.423062.5000%340009000000.03073.1753%0.453863.6907%1.1907%
GPU722687.083964.7059%5000011000000.04062.1887%7.124465.4784%0.7725%
Difference-1-3.5524-0.5268%+50000+725000+0.0329+1.0050%-3.5196-0.1552%-0.1552%

Known prime factors (1 factor, 80.1 bits, 0.00095249% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
841419113358751643478618924818732580.14479382270045204696
23 × 179 × 181 × 9851 × 31090063
2013-06-0998513109006331,7220.64481.1978

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-10-26T00:00:00Team Prime Ribv4_computers40000500000---0.025--1.928%
2012-07-04T13:28:00bcp19Toshiba-740Q1000001825000---0.073--3.194%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-20T00:00:00ANONYMOUSv4_computers21261--0.037--
1998-10-29T00:00:00ANONYMOUSv4_computers21263--0.190--
1999-12-23T00:00:00TMarshallv4_computers21264--0.423--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CurvesCompleteFacMiss

New Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-25T00:00:00TMarshallv4_computers218A273FB6831CF82.197
2002-11-16T00:00:00Team Prime Ribv4_computers218A273FB6831CF82.197


PRP results:
dateuseridcompidcofactorsres64PRP
2018-10-24T06:53:48ATHec2-PRPCF
1335875164347861892481873
38F9398D648D10__no
2020-05-23T16:54:07Luigi Morelli9800X
1335875164347861892481873
38F9398D648D1043no


P-1 factor-bounds graph:
B1 = 100000, B2 = 1825000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 40000, B2 = 500000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
102
103
104
105
102
103
104
105
106
107
108
TF factor-bounds graph:
267
264
263
261
250
260
270
280
290
2100
Last modified: 2020-05-23T16:54:07+00:00