Please add test cases:
assert(isequal(maxexp(1e9, 2), 999999987))
assert(isequal(maxexp(1e9, 3), 499999993))
The harder test cases were going to be in version 2 of the problem. This was just to get the ball rolling. I see that you went ahead and submitted the problem with your added test cases, which is never a bad thing. Thanks, and I'm glad you liked the problem!
Finding Perfect Squares
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Diophantine Equations (Inspired by Project Euler, problem 66)
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