This is the Prime Pages'
interface to our BibTeX database. Rather than being an exhaustive database,
it just lists the references we cite on these pages. Please let me know of any errors you notice.|
References: [ Home | Author index | Key index | Search ]
- H. Dubner and T. Forbes, "Prime Pythagorean triangles," (March 2000) Complete text: PDF.
A prime Pytahgorean 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 Pythagorean triangles and we include a discussion of a general primality proof to deal with the larger elements (up to 2310 digits) of the associated set of eight primes.