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1998 APMO Problems/Problem 2

Revision as of 12:29, 22 July 2021 by Johnroo2 (talk | contribs) (Created page with "== Problem == Show that for any positive integers <math>a</math> and <math>b</math>, <math>(36a + b)(36b + a)</math> cannot be a power of 2.")
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Problem

Show that for any positive integers $a$ and $b$, $(36a + b)(36b + a)$ cannot be a power of 2.

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