Definition:Diophantine m-Tuple/Quintuple
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Definition
A Diophantine quintuple is a Diophantine $m$-tuple where $m = 5$.
That is, a Diophantine quintuple is a set of $5$ positive integers such that the product of any $2$ of them plus $1$ is a square number.
Sources
- 2015: Yifan Zhang and G. Grossman: On Diophantine triples and quadruples (Notes on Number Theory and Discrete Mathematics Vol. 21, no. 4: pp. 6 – 16)