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b + 1|a^2 + 1 and a + 1|b^2 + 1

Source: 2016 Saudi Arabia Pre-TST Level 4+ 1.3

September 13, 2020
number theoryodddivides

Problem Statement

Let a,ba, b be two positive integers such that b+1∣a2+1b + 1|a^2 + 1,a+1∣b2+1 a + 1|b^2 + 1. Prove that a,ba, b are odd numbers.
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