Rad HAZU, Matematičke znanosti, Vol. 20 (2016), 1-7.
SQUARE EULERIAN QUADRUPLES
Allan J. MacLeod
Mathematics and Statistics Group, University of the West of Scotland,
High St., Paisley, Scotland, PA1 2BE, UK
Abstract. We consider the problem of finding four different rational
squares, such that the product of any two plus the sum of the same two
always gives a square. We give some historical background to this problem
and exhibit the small number of solutions found so far.
2010 Mathematics Subject Classification.
11A99, 11D09, 11G05, 11Y50.
Key words and phrases. Squares, Eulerian quadruples, elliptic curves.
Full text (PDF) (free access)
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