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erdos_142.variants.upper

Specification

Find functions $f_k$, such that $r_k(N) = O_k(f_k)$, where $r_k(N)$ the largest possible size of a subset of $\{1, \dots, N\}$ that does not contain any non-trivial $k$-term arithmetic progression.

Mathematics prize
Prize

$10000

Paul Erdős

Lean 4 Statement 
theorem erdos_142.variants.upper (k : ℕ) :
    (fun N => (r k N : ℝ)) =O[atTop] (answer(sorry) : ℕ → ℝ)
ID: ErdosProblems__142__erdos_142.variants.upper
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