How many primitive Pythagorean triples in arithmetic progression
, CoMaC (2012) How many primitive Pythagorean triples in arithmetic progression. At Right Angles, 1 (1). pp. 3334.

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Abstract
Everyone knows that (3, 4, 5) is a Pythagorean triple (‘PT’); for, the numbers satisfy the Pythagorean relation 3^2 +4^2 =5^2. Indeed, it is a Primitive Pythagorean triple (‘PPT’) since the integers in the triple are coprime. (See the Problem Corner for definitions of unfamiliar terms.) But this triple has a further property: its entries are in arithmetic progression for, 3, 4, 5 forms a threeterm AP with common difference 1. Naturally, our curiosity is alerted at this point.
Item Type:  Articles in APF Magazines 

Uncontrolled Keywords:  Progression, Arithmetic, Amicable, Pythagorean 
Subjects:  Natural Sciences > Mathematics 
Divisions:  Azim Premji University > University publications > At Right Angles 
Depositing User:  Mr. Sachin Tirlapur 
Date Deposited:  25 Oct 2018 14:29 
Last Modified:  26 Oct 2018 04:02 
URI:  http://publications.azimpremjifoundation.org/id/eprint/1576 
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