Glasnik matematički, Vol. 46 No. 1, 2011.
Original scientific paper
https://doi.org/10.3336/gm.46.1.01
Two extreme Diophantine problems concerning the perimeter of Pythagorean triangles
Allan J. MacLeod
; Statistics and Mathematics Group, University of the West of Scotland, High St. Paisley, Scotland PA1 2BE
Abstract
We consider two Diophantine problems involving the perimeter of Pythagorean triangles. One has an enormous solution with the sides of the triangle > 101^15, whilst the other has no solution which answers a speculation of Frenicle de Bressy
Keywords
Right-angled triangle; perimeter; elliptic curve
Hrčak ID:
68854
URI
Publication date:
13.6.2011.
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