Three 3-digit 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 2009-07-04 13:51:44