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Topic: Pythagorean triples
Replies: 8   Last Post: Mar 21, 2013 2:53 AM

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cuthbert

Posts: 10
Registered: 6/26/06
Pythagorean triples
Posted: Jun 26, 2006 6:09 AM
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There are some Pythagorean triples ( = integers {a,b,c}: a^2+b^2-c^2=0) such that the shorter two sides differ by only 1. E.g. 20, 21, 29 ; 119, 120, 169.

Is there a finite number of such triples? If so, how many?

Or

Show that there is an infinite number.



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