Prove that there are no integers m, n satisfying m2 = n5 - 4.
Solution
m2 = 0, 1, 3, 4, 5 or 9 mod 11, but n5 - 4 = 6, 7 or 8 mod 11.
15th Balkan 1998
© John Scholes jscholes@kalva.demon.co.uk 11 Apr 2002