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Erdős problem 400

Erdős and Graham write that it is easy to show that gk(n)klogng_k(n) \ll_k \log n always, but the best possible constant is unknown.

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FormalConjectures/ErdosProblems/

400.lean

Retained formal statement3 of 4

For k2k \ge 2, gk(n)>0g_k(n) > 0. We show this by choosing a=(n,1,0,,0)a = (n, 1, 0, \ldots, 0).

FormalConjectures/ErdosProblems/400.leanErdos400.erdos_400.variants.g_pos1 lineExact file
∀ (k n : ℕ), k ≥ 2 → 0 < Erdos400.g k n
TestStatement only, no proof

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