Find all numbers N = a₁a₂a₃...a_n greater than 1, with no leading zeros, no zeros, which fits this equation:

N = a₁^a₁ + a₂^a₂ + a₃^a₃ + ... + a_n^a_n

Clarifying, N = 23 doesn´t work because 2² + 3³ is equal to 31, not 23.

The answer is 3435.

Posted by K Sengupta on 2008-12-29 16:32:34