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A096339 Primes p such that the p-1 digits of the binary 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 #10 Dec 27 2018 13:48:11

%S 59,67,83,211,2027,2539,4261,4813,6277,7283,8387,15373,16349,30707,

%T 38237,41411,41813,57557,59771,71941,78341,79867,84229,89317,96179,

%U 100907,122011,133387,153877,168293,187091,203989,213949,215843,236981

%N Primes p such that the p-1 digits of the binary 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, A096660.

%K nonn,base

%O 1,1

%A Simon Whitechapel (aladgyma(AT)yahoo.com), Jun 27 2004

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

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Last modified April 25 01:06 EDT 2024. Contains 371964 sequences. (Running on oeis4.)