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(a^4 - 1)(a^4 + 15a^2 + 1) = 0 mod 35

Source: 2013 Saudi Arabia Pre-TST 2.1

September 13, 2020
number theoryremainderdividesdivisible

Problem Statement

Prove that if aa is an integer relatively prime with 3535 then (a4−1)(a4+15a2+1)≡0(a^4 - 1)(a^4 + 15a^2 + 1) \equiv 0 mod 3535.
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