Substitute each of the capital letters by a different digit from 0 to 9 to satisfy this set of alphametic relationships. Each of A and R is nonzero.

(i) Each of RAISE and ARIES is a perfect square, and:

(ii) I + S and A + E are consecutive primes.

I believe 137^2: 286^2 may be a possible solution.

Posted by broll on 2010-04-16 14:36:19