Strong Eulerian triples
classification
🧮 math.NT
keywords
ab-1ac-1bc-1diophantuseulereulerianexistinfinitely
read the original abstract
We prove that there exist infinitely many rationals a, b and c with the property that a^2-1, b^2-1, c^2-1, ab-1, ac-1 and bc-1 are all perfect squares. This provides a solution to a variant of the problem studied by Diophantus and Euler.
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