Representation of positive integers by the form x1...xk + x1 + ... + xk

Abstract

For an arbitrary given k≥3, we consider a possibility of representation of a positive number n by the form x1...xk+x1+...+xk, 1≤ x1≤ ... ≤ xk. We also study a question on the smallest value of k≥3 in such a representation.

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