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10/16/2007

January 19–January 25, 2010

Problem

Show that there is no set of positive integers {a, b, c, d} that satisfy the conditions a³ = b⁵, c³ = d⁵, and c - a = 32.

Solution

here

List of solvers

"Ardy" Muhammed Ardiyansyah (high school); Eric Bensley, Jonathan Shi (undergrad); Daniel Finkel (graduate); Joshua Towne, Philipp K. Janert, Steve Wilmarth, Peiyush Jain, Lloyd Sakazaki, Mukund Tirumalai, Jens Malmquist, Congpa You (outisde).

Dan Finkel wins the prize!