Back to Problems

erdos_399.variants.cambie

Specification

Cambie observed that there are no solutions to `n! = x^4 + y^4` with `x.Coprime y` and `x*y > 1`.

Actions

Submit a Proof

Have a proof attempt? Submit it for zero-trust verification.

Submit Proof
Lean 4 Statement
theorem erdos_399.variants.cambie {n x y : ℕ} :
    x.Coprime y → 1 < x * y → n ! ≠ x ^ 4 + y ^ 4
ID: ErdosProblems__399__erdos_399.variants.cambie
Browse 300 unsolved math conjectures formalized in Lean 4
Browse

All Problems

Explore all 300 unsolved conjectures.

View problems →
ASI Prize documentation for formal verification pipeline
Docs

Verification Pipeline

How zero-trust verification works.

Read docs →
Evaluation Results

Recent Submissions

No submissions yet. Be the first to attempt this problem.