Triangles with prime hypotenuse

The sequence 3,5,9,11,15,19,21,25,29,35,… consists of odd legs in right triangles with integer side lengths and prime hypotenuse. We show that the upper density of this sequence is zero, with logarithmic decay. The same estimate holds for the sequence of even legs in such triangles. We expect our up...

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Bibliographic Details
Main Authors: Chow, S, Pomerance, C
Format: Journal article
Published: Springer Open 2017