952.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 952

References:

Imports (1)

FormalConjecturesUtil

Imported by 1 file

FormalConjectures/Subsets/FC100OpenSet1.lean

theorem Erdos952.erdos_952 Is there an infinite sequence of distinct Gaussian primes $x_1,x_2,\ldots$ such that $\lvert x_{n+1}-x_n\rvert \ll 1$? sorry line 38 source
Source documentation
Is there an infinite sequence of distinct Gaussian primes $x_1,x_2,\ldots$ such that $\lvert x_{n+1}-x_n\rvert \ll 1$?

depends on sorry what this means
Statement uses: Iff, True, Exists, Nat, GaussianInt, Int, And, Function.Injective, Prime, Neg.neg, OfNat.ofNat, LT.lt, Zsqrtd.norm, HSub.hSub, HAdd.hAdd
Proof uses: sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous
26 instances, coercions and auxiliary constants left out.

Tactic trace: 1 steps
Open to load the checked before-and-after goal states.
```
theorem erdos_952 : answer(sorry) ↔
  ∃ (x : ℕ → GaussianInt) (C : ℤ),
    Function.Injective x ∧
      ∀ n, Prime (x n) ∧ (x (n + 1) - x n).norm < C := by
…
```