1094.lean`

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Project sources: Pinned project documentation, Formal Conjectures paper, arXiv v1

1 declarations, 1 contain sorry, 0 declared as axioms

Erdős Problem 1094

Reference: erdosproblems.com/1094

Imports (1)

FormalConjecturesUtil

theorem Erdos1094.erdos_1094 For all $n\ge 2k$ the least prime factor of $\binom{n}{k}$ is $\le\max(n/k,k)$, with only finitely many exceptions sorry line 38 source
Source documentation
For all $n\ge 2k$ the least prime factor of $\binom{n}{k}$ is $\le\max(n/k,k)$, with only finitely many exceptions.

depends on sorry what this means
Statement uses: Set.Finite, Prod, Nat, Set.ofPred, Erdos1094.erdos_1094.match_1, And, LT.lt, OfNat.ofNat, LE.le, HMul.hMul, GT.gt, Nat.minFac, Nat.choose, Max.max, HDiv.hDiv
Proof uses: sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous
16 instances, coercions and auxiliary constants left out.

Tactic trace: 1 steps
Open to load the checked before-and-after goal states.
```
theorem erdos_1094 :
    {(n, k) : ℕ × ℕ | 0 < k ∧ 2 * k ≤ n ∧ (n.choose k).minFac > max (n / k) k}.Finite := by
…
```