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.

59, 67, 83, 211, 2027, 2539, 4261, 4813, 6277, 7283, 8387, 15373, 16349, 30707, 38237, 41411, 41813, 57557, 59771, 71941, 78341, 79867, 84229, 89317, 96179, 100907, 122011, 133387, 153877, 168293, 187091, 203989, 213949, 215843, 236981

Offset: 1

Author

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

Keywords

• nonn
• base

References

• W. S. Andrews, Magic Squares and Cubes, pp. 176 Dover NY 1960.
• J. Heleen, Journal of Recreational Mathematics, 30(1) 1999-2000 pp. 72-3 Soln. to Prob. 2394. Magic Reciprocals
• M. J. Zerger, Journal of Recreational Mathematics, 30(2) 1999-2000 pp. 158-160 Soln. to Prob. 2420. Only 19?

Links

• H. Heinz, Order-18 based on 1/19
• Simon Whitechapel, Reciprocal Arrangements [Internet Archive Wayback Machine]

Crossrefs

Cf. A072359, A096660.

Extensions

Corrected and extended by William Rex Marshall, Aug 18 2005