MathDB

Positive real numbers

a_1, a_2, \ldots, a_{2024}

are arranged in a circle. It turned out that for any

i = 1, 2, \ldots, 2024

, the following condition holds:

a_ia_{i+1} < a_{i+2}

. (Here we assume that

a_{2025} = a_1

and

a_{2026} = a_2

). What largest number of positive integers could there be among these numbers

a_1, a_2, \ldots, a_{2024}

?
Proposed by Mykhailo Shtandenko

Problem Statement