In a 4x4 magic square all rows, columns and the two main diagonals are distinct 4digit prime numbers when read in either direction.
Create such a square.
Bonus (d4): same for order5 magic square and 5digit primes.
Based on
L. E. Card,Patterns in Primes, JRM 1:2, 1968, pp .9399,
(In reply to
re(2): From the computer semispoiler by brianjn)
Of course it wouldn't be a Latin square, having a complete set of 4 chosen digits in each row or column, but "magic" implied constant sums.
In fact a normal magic square can't be a Latin square as none of the digits would be repeated, whereas in a Latin square each would be repeated as many times as there are rows.
Wikipedia article here.
The only exception the article makes to the constantsum rule is for some word squares rather than number squares. It would seem the wording is misleading. I restricted my search to only those sets of reversible primes that had the same sum of digits.

Posted by Charlie
on 20120114 11:31:56 