Przemek Chojecki

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math.NT2026

Distinct Consecutive Products

Przemek Chojecki

We prove that there is a density-one set of positive integers for which the products of all distinct consecutive blocks are distinct, answering a question of Erdős and Graham. The…

math.NT2026

The Second Term for Strongly 2-Primitive Sets

Przemek Chojecki

Let $F (n)$ be the largest size of a set $A \subseteq [1, n]$ such that $a ∤ b c$ whenever $a, b, c \in A$ and $a \in / {b, c}$ , with $b$ and $c$ allowed to coincide. We prove \[ F(n)=π…