Triples with Same Sum and Same Product/Mistake

Source Work

 * $\mathbf D$: Diophantine Equations
 * $\mathbf {D 16}$: Triples with Same Sum and Same Product
 * $\mathbf {D 16}$: Triples with Same Sum and Same Product

Mistake

 * It may be of interest to ask for the smallest sums or products with each multiplicity. For example, for $4$ triples, finds the smallest common sum to be $118$ ... and the smallest common product to be $25200$ ...

Correction
In the article cited by, in fact does no such thing. Instead, he raises the question for $5$ such triples.

Also see

 * Smallest Number which is Sum of 4 Triples with Equal Products
 * Smallest Integer which is Product of 4 Triples all with Same Sum