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Prove that 8b+1 is composite

Source: Russian TST 2018, Day 9 P1 (Groups A & B)

March 30, 2023
number theory

Problem Statement

The natural numbers a>ba > b are such that ab=5b24a2a-b=5b^2-4a^2. Prove that the number 8b+18b + 1 is composite.