15th Balkan 1998

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Problem 4

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