How many primitive Pythagorean triples in arithmetic progression
Community Mathematics Centre, CoMaC (2012) How many primitive Pythagorean triples in arithmetic progression. At Right Angles, 1 (1). pp. 33-34.
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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 three-term AP with common difference 1. Naturally, our curiosity is alerted at this point.
Item Type: | Articles in APF Magazines | ||
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Authors: | Community Mathematics Centre, CoMaC | ||
Document Language: |
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Uncontrolled Keywords: | Progression, Arithmetic, Amicable, Pythagorean | ||
Subjects: | Natural Sciences > Mathematics | ||
Divisions: | Azim Premji University > University Publications > At Right Angles | ||
Full Text Status: | Public | ||
URI: | http://publications.azimpremjifoundation.org/id/eprint/1576 | ||
Publisher URL: |
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