PrimesAndPerfectSquares.lean`

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

1 declarations, 1 contain sorry, 0 declared as axioms

Primes and perfect squares

Reference: Wikipedia

Imports (1)

FormalConjecturesUtil

theorem PrimesAndPerfectSquares.infinite_prime_sq_add_one Are there infinitely many primes $p$ such that $p - 1$ is a perfect square? sorry line 35 source
Source documentation
Are there infinitely many primes $p$ such that $p - 1$ is a perfect square? In other words: Are there infinitely many primes of the form $n^2 + 1$?

depends on sorry what this means
Statement uses: Iff, True, Set.Infinite, Nat, Set.ofPred, Prime, HAdd.hAdd, HPow.hPow, OfNat.ofNat
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 infinite_prime_sq_add_one :
    answer(sorry) ↔ {n : ℕ | Prime (n^2 + 1)}.Infinite := by
…
```