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a\(8b+1) and b \(8a+1)

Source: IX May Olympiad (Olimpiada de Mayo) 2003 L2 P3

September 19, 2022

number theorydividesmultiple

Problem Statement

Find all pairs of positive integers

(a,b)

such that

8b+1

is a multiple of

a

and

8a+1

is a multiple of

b