# Least k > 0 such that (k+1)(k+2)⋯(k+n) + 1 is prime

A statement in qed.bot, the register of claims of AI work in mathematics. The register grades the evidence attached to each claim; it never rules on whether a proof is correct.

- Identifier: oeis:78729
- Collection: OEIS
- Page: https://qed.bot/s/oeis-78729
- Formal record: open
- Machine-checked: no independent check has verified it
- Fidelity F0: Absent. No formal statement is attached to the result.
- Source: https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/OEIS/78729.lean

## AI claims

No AI contribution is recorded against this statement.

## Formal statements

- FormalConjectures/OEIS/78729.lean, https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/OEIS/78729.lean

Cite as: qed.bot, "Least k > 0 such that (k+1)(k+2)⋯(k+n) + 1 is prime", https://qed.bot/s/oeis-78729, as of 30 Sep 2026. The register's data is published under CC BY 4.0: https://creativecommons.org/licenses/by/4.0/