erdos_477.degree_two_dvd_condition_b_ne_zero

Specification

There is no such $A$ for any polynomial $f(x) = aX^2 + bX + c$, if $a | b$ with $a \ne 0$ and $b \ne 0. This was found be AlphaProof for the specific instance $X^2 - X + 1$ and then generalised.

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Lean 4 Statement

theorem erdos_477.degree_two_dvd_condition_b_ne_zero {a b c : ℤ} (ha : a ≠ 0) (hb : b ≠ 0)
    (hab : a ∣ b) :
    let f

ID: ErdosProblems__477__erdos_477.degree_two_dvd_condition_b_ne_zero

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