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2006 OIM Problems/Problem 4

Revision as of 16:04, 14 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Find all pairs <math>(a, b)</math> of positive integers such that <math>2a + 1</math> and <math>2b - 1</math> are relative primes and <math>a + b</math> divides...")
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Problem

Find all pairs $(a, b)$ of positive integers such that $2a + 1$ and $2b - 1$ are relative primes and $a + b$ divides $4ab + 1$.

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

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See also

OIM Problems and Solutions

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