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A096660 Primes p such that the p-1 digits of the ternary (base 3) expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1. 2

%I #12 Dec 27 2018 13:46:26

%S 223,593,811,6113,15319,22123,22409,22817,24859,32801,40013,43853,

%T 47599,48259,51329,56383,64553,64579,77813,96401,109169,109937,135607,

%U 191899,229507,254623,281609,379157,496963,526963,530753,700781,1090373

%N Primes p such that the p-1 digits of the ternary (base 3) expansion of k/p (for k=1,2,3,...,p-1) fit into the k-th row of a magic square grid of order p-1.

%D W. S. Andrews, Magic Squares and Cubes, pp. 176 Dover NY 1960.

%D J. Heleen, Journal of Recreational Mathematics, 30(1) 1999-2000 pp. 72-3 Soln. to Prob. 2394. Magic Reciprocals

%D M. J. Zerger, Journal of Recreational Mathematics, 30(2) 1999-2000 pp. 158-160 Soln. to Prob. 2420. Only 19?

%H H. Heinz <a href="http://www.magic-squares.net/magic_squares_index.htm">Order 18 based on 1/19</a>

%H Simon Whitechapel <a href="https://web.archive.org/web/20080518020634/http://www.gwywyr.com/articles/scimaths/pseudo.html">Reciprocal Arrangements</a> [Internet Archive Wayback Machine]

%Y Cf. A072359, A096339.

%K nonn,base

%O 1,1

%A Simon Whitechapel (aladgyma(AT)yahoo.com), Jul 02 2004

%E Corrected and extended by _William Rex Marshall_, Aug 18 2005

%E Corrected by _T. D. Noe_, Nov 15 2006

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Last modified April 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)