perplexus.info :: Just Math : Harmonic Diophantine Hindrance

Harmonic Diophantine Hindrance (Posted on 2015-06-21)

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.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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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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