479.lean`

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L4DEL: Lean4 Domain Explanation Language

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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 479

Reference: erdosproblems.com/479

Imports (1)

FormalConjecturesUtil

Imported by 1 file

FormalConjectures/Subsets/FC100OpenSet1.lean

theorem Erdos479.erdos_479 Is it true that, for every integer $k\neq 1$, there are infinitely many $n$ such that $2^n\equiv k\pmod{n}$? sorry line 35 source
Source documentation
Is it true that, for every integer $k\neq 1$, there are infinitely many $n$ such that $2^n\equiv k\pmod{n}$?

depends on sorry what this means
Statement uses: Iff, True, Int, Ne, OfNat.ofNat, Set.Infinite, Nat, Set.ofPred, Int.ModEq, HPow.hPow
Proof uses: sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous
15 instances, coercions and auxiliary constants left out.

Tactic trace: 1 steps
Open to load the checked before-and-after goal states.
```
theorem erdos_479 : answer(sorry) ↔ ∀ᵉ (k : ℤ) (k ≠ 1),
    { n : ℕ | (2 : ℤ) ^ n ≡ k [ZMOD (n : ℤ)] }.Infinite := by
…
```