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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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question re: Possible solution | Comment 2 of 3 |
(In reply to Possible solution by broll)

Would you flesh that out for me?


I agree with your first statement but I don't see how your second statement follows.

  Posted by xdog on 2015-06-22 10:06:43
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