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Revision History for A117345

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Showing entries 1-10 | older changes
Indices n such that the 3 X 3 matrix with components (row by row) prime(n+k), 0 <= k <= 8, has zero determinant.
(history; published version)
#13 by Alois P. Heinz at Mon Jan 25 14:36:27 EST 2021
STATUS

proposed

approved

#12 by Chai Wah Wu at Mon Jan 25 12:39:00 EST 2021
STATUS

editing

proposed

#11 by Chai Wah Wu at Mon Jan 25 12:38:49 EST 2021
LINKS

Chai Wah Wu, <a href="/A117345/b117345.txt">Table of n, a(n) for n = 1..10000</a>

#10 by Chai Wah Wu at Mon Jan 25 11:19:55 EST 2021
PROG

k, plist = k+1, plist[1:]+[nextprime(plist[-1])] # Chai Wah Wu, Jan 25 2021

#9 by Chai Wah Wu at Mon Jan 25 11:16:09 EST 2021
PROG

(Python)

from sympy import nextprime, Matrix

k, A117345_list, plist = 1, [], [2, 3, 5, 7, 11, 13, 17, 19, 23]

while k < 10**7:

if Matrix(plist).reshape(3, 3).det() == 0:

A117345_list.append(k)

k, plist = k+1, plist[1:]+[nextprime(plist[-1])] # Chai Wah Wu, Jan 25 2021

STATUS

approved

editing

#8 by Bruno Berselli at Thu Dec 15 02:32:26 EST 2016
STATUS

proposed

approved

#7 by Jon E. Schoenfield at Thu Dec 15 01:10:46 EST 2016
STATUS

editing

proposed

#6 by Jon E. Schoenfield at Thu Dec 15 01:10:43 EST 2016
NAME

Indices n such that the 3 by X 3 matrix with components (row by row) prime(n+k), 0 <= k <= 8, has zero determinant.

STATUS

approved

editing

#5 by N. J. A. Sloane at Tue Oct 01 17:58:24 EDT 2013
AUTHOR

_Cino Hilliard (hillcino368(AT)gmail.com), _, Apr 24 2006

Discussion
Tue Oct 01
17:58
OEIS Server: https://oeis.org/edit/global/1955
#4 by Russ Cox at Fri Mar 30 17:27:48 EDT 2012
EXTENSIONS

Edited by _Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), _, Apr 28 2006

Discussion
Fri Mar 30
17:27
OEIS Server: https://oeis.org/edit/global/145