A, B and C are three strictly increasing positive integers in this order such that B is the harmonic mean of A and C.
Can A² + B² = C² + 1?
If so, provide an example.
If not, prove it.

For harmonic a,b,c, ab is a multiple of c.

So there are no numbers a, b, c, meeting the requirements of the problem.

 

Edited on June 22, 2015, 12:23 am

Posted by broll on 2015-06-21 23:09:47