Difference between revisions of "2013 USAJMO Problems/Problem 1"

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Are there integers <math> a </math> and such that and are both perfect cubes of integers?
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Are there integers <math> a </math> and <math> b </math> such that <math> a^5b+3 </math> and <math> ab^5+3 </math> are both perfect cubes of integers?

Revision as of 18:24, 11 May 2013

Are there integers $a$ and $b$ such that $a^5b+3$ and $ab^5+3$ are both perfect cubes of integers?

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