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erdos_324

Specification

Does there exist a polynomial $f(x)\in\mathbb{Z}[x]$ such that all the sums $f(a)+f(b)$ with $a < b$ nonnegative integers are distinct?

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Lean 4 Statement 
theorem erdos_324 : answer(sorry) ↔
    ∃ f : ℤ[X], {(a, b) : ℕ × ℕ | a < b}.InjOn fun (a, b) => f.eval (a : ℤ) + f.eval (b : ℤ)
ID: ErdosProblems__324__erdos_324
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