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Harmonic Diophantine Hindrance (Posted on 2015-06-21) Difficulty: 3 of 5
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.

No Solution Yet Submitted by K Sengupta    
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Some Thoughts Possible solution | Comment 1 of 3

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

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