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- W2015682790 abstract "For any m > 0 let Fm = 22m + 1 be the standard Fermat number. It is known that Fm is prime when 0 < m < 4, but these values of m are the only ones for which Fm is known to be prime. By a celebrated theorem of Gauss (see [1]), the prime Fermat numbers are related to the number of sides of regular polygons that can be constructed with ruler and compass. Recall that a Heron triangle is a triangle such that the lengths of its three sides and its area are integers. In this note, we point out a connection between the prime Fermat numbers and the Heron triangles whose sides are prime powers. Our result is the following." @default.
- W2015682790 created "2016-06-24" @default.
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- W2015682790 date "2003-01-01" @default.
- W2015682790 modified "2023-09-25" @default.
- W2015682790 title "Fermat Primes and Heron Triangles with Prime Power Sides" @default.
- W2015682790 cites W4254592058 @default.
- W2015682790 doi "https://doi.org/10.1080/00029890.2003.11919936" @default.
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