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Prime Magic Square (Posted on 2011-08-04) Difficulty: 3 of 5
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?

See The Solution Submitted by Charlie    
Rating: 5.0000 (1 votes)

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Hints/Tips hint Comment 6 of 6 |

First find 6 primes under 200 that are in arithmetic progression.

Then find a magic square using numbers 1 through 16, where the positions marked by P, R, I, M, E and S are in arightmetic sequence, not necessarily without gaps, but in order.

Then find a linear relation between the prime sequence and the P-R-I-M-E-S sequence.


  Posted by Charlie on 2011-08-10 19:29:40
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