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forum.virtualchallengemeets.com • View topic - IMO #1 1959 (Hardest IMO question ever)
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Prove that the fraction [unparseable or potentially dangerous latex formula] is irreducible for every natural number [unparseable or potentially dangerous latex formula]
By the Euclidean Algorithm, GCD(21n+4, 14n+3) = GCD(14n+3, 7n+1) = GCD(7n+2, 7n+1) = GCD(7n+1, 1) which is obviously 1 so 21n+4 and 14n+3 are relatively prime