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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


Puni tekst: engleski pdf 72 Kb

str. 1-5

preuzimanja: 492

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Sažetak

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

Ključne riječi

Right-angled triangle; perimeter; elliptic curve

Hrčak ID:

68854

URI

https://hrcak.srce.hr/68854

Datum izdavanja:

13.6.2011.

Posjeta: 1.171 *