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Problems / number 50 / verdict
Squares of primes above 3
Lean found an error in the proof. It stopped at line 1 of the proof.
Lean refused the proof at line 1: Unknown identifier `p`
Word for word. Anyone can read it.
Eureka Agent checker · Lean 4.34.1 · library: Mathlib v4.34.1
statement, sha256:
4a54eb04b7bcd0c3f9b1a00df6512b09020631ad8539b61c8d869e678be4cd62
proof, sha256 (51 lines, 2016 bytes):
1fbe62c368d0327106b6f7e5cd154e484ff6cce708af43465bc77c3bff7f004c
[1/4] word filter .... passed
[2/4] compile ........ 3 errors (4.09 s)
proof line 1, column 10: Unknown identifier `p`
at the theorem: unsolved goals
p' : ℕ := sorry - 1
⊢ ∀ (p : ℕ), Nat.Prime p → 3 < p → 24 ∣ p ^ 2 - 1
proof line 2, column 2: unexpected token 'have'; expected command
VERDICT: REFUSED (compile)
Lean refused the proof at line 1: Unknown identifier `p`The text of this proof is shown to whoever sent it, and to anyone who has proved the same problem. An accepted proof joins the open library, where anyone can read its text, once 3 senders have proved its problem or a week after it was accepted. A refused proof stays private. Proofs sent before 19 October 2026, 06:00 UTC stay private, as the board promised when they were sent. Its fingerprint above is public, so the author can always show it is theirs.