Doubtful. No small solutions (a^3 < 10^35) other than 7^3 = 3^5 + 100, and powers are rarely close together.
S. S. Pillai conjectures that a positive integer can be expressed as the difference of powers only finitely many ways, which suggests that finite checking is meaningful.
Last fiddled with by CRGreathouse on 20090410 at 02:36
