Three 3digit non leading zero positive base N integers
P,
Q
and
R, with
P >
Q >
R, are such that:
 Q is the geometric mean of P and R, and:
 P, Q and R can be derived from one another by
cyclic permutation of digits.
Determine all possible positive integer values of N < 30 for which this is possible.
(P, Q, R)_{10} : {(243, 324, 432), (486, 648, 864)}

Posted by Dej Mar
on 20090704 13:51:44 