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Old 2009-04-10, 01:56   #2
CRGreathouse's Avatar
Aug 2006

3·1,987 Posts

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 2009-04-10 at 02:36
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