S U R F
C A L M
E X P O
T I N Y
Each of the above letters represents a positive integer smaller than 200. In some order they represent an arithmetic sequence. Overall, the grid as presented is a magic square, with each row, each column and each of the two large diagonals adding to the same value.
Also, each of the letters in P-R-I-M-E-S represents a prime number, and in themselves they also form an ascending arithmetic sequence, in the order P-R-I-M-E-S.
What is this magic square?
(In reply to re(3): Far too less - assumptions right? Well yes...
by Ady TZIDON)
After building my latin square of numerals 1 through 16 I was not looking for a sequence of primes but rather a sequence of numerals which formed an AP building through the letters of P-R-I-M-E-S.
From there I was looking toward the two sequences formed by ±1 either side of multiples of 6:
5 11 17 23 29....
1 2 3 4 5 6
7 13 19 25 31....
Yes there are issues there with the 25, thus my AP constant was not going to be 6.
Anyway, the essence of what I was looking for was to apply a multiplier to the digits of the original latin square; the sequence of odd numbers works fine in the above table for as far as I have shown (but it does fail).
Well, I think that explains what I had in mind. To arrive at the solution I just did not persevere, but that was my fault because I didn't have the correct base latin configuration in the first place.
Posted by brianjn
on 2011-08-06 23:39:31