MathDB
n = b + c + d +... =b * c * d * ... , good positive integer

Source: 1992 German Federal - Bundeswettbewerb Mathematik - BWM - Round 1 p2

November 20, 2022
number theorySumProduct

Problem Statement

A positive integer nn is called good if they sum up in one and only one way at least of two positive integers whose product also has the value nn. Here representations that differ only in the order of the summands are considered the same viewed. Find all good positive integers.