Problem

Problem of the Day #95

POTD March 13, 2024

Find the sum of all positive integers n>2 such that:

\forall (a_1,a_2,\ldots,a_n)\in \mathbb R^n \sum_{i=1}^{n}\prod_{1\le j \le n, j\neq i} (a_i-a_j)\ge 0


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Problem Tags: Algebra Logic Number theory

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