Prove that (21n+4)/(14n+3) is irreducible for every natural number n.
Solution
3(14n+3) - 2(21n+4) = 1.
Solutions are also available in: Samuel L Greitzer, International Mathematical Olympiads 1959-1977, MAA 1978, and in István Reiman, International Mathematical Olympiad 1959-1999, ISBN 189-8855-48-X.
1st IMO 1959
© John Scholes
jscholes@kalva.demon.co.uk
17 Sep 1998
Last corrected/updated 24 Sep 2003