Definition: Existimation is a concept in mathematics, specifically in the area of algebraic number theory. It refers to the problem of determining whether or not a given positive integer can be expressed as a sum of two or more integers. In other words, if you have an integer \(n\), you want to find integers \(a\) and \(b\) such that \(ab = n\). This is equivalent to finding a solution to the Diophantine equation: \[a + b \equiv 0
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