|Journal of Integer Sequences, Vol. 4 (2001), Article 01.2.3|
Department of Pure Mathematics
The Open University
Walton Hall, Milton Keynes MK7 6AA, United Kingdom
Email addresses: firstname.lastname@example.org and email@example.com
Abstract: A prime Pythagorean triangle has three integer sides of which the hypotenuse and one leg are primes. In this article we investigate their properties and distribution. We are also interested in finding chains of such triangles, where the hypotenuse of one triangle is the leg of the next in the sequence. We exhibit a chain of seven prime Pythagorean triangles and we include a brief discussion of primality proofs for the larger elements (up to 2310 digits) of the associated set of eight primes.
(Mentions sequences A048161 A048270 A048295)
Received May 6, 2001; revised version received Sept. 3, 2001. Published in Journal of Integer Sequences Sept. 13, 2001.