Prev: Cauchy problem
Next: Goldbach, a new approach
From: Deep on 26 Jun 2010 07:14
Consider the following two equations for the given conditions.

k^2 = [a^k + b^k ]/c^2 (1)

k^2 = [d^k + (1/4)e^k]/f^2 (2)

Conditions: a,b,c,d,e,f are all integers each > 1; k =5
a,b,c are coprimes, b is even; d, e, f are coprimes,
e is even.

Conjecture: If (1) is impossible then (2) is also impossible.

Any comment upon this conjecture will be appreciated.




 | 
Pages: 1
Prev: Cauchy problem
Next: Goldbach, a new approach