Definition: The antipredeterminant in mathematics is a term used to describe a set of numbers that have no common factor other than 1 or -1, such as ±2 or ±3. Definition: Antipredeterminants are numbers that when added together result in either zero (0) or one (1), while multiplying them yields either 2 (4) or -1 (−1). For example, the antiprimen 5 and 6 satisfy the condition of having no common factor but have no other common properties.