Superpermutation Almanac

Bounds

S(13) ≥ 6,746,626,957

S(13) ≥ 6,746,626,957

Holds for
n = 13
Announced
Oct 6, 2026
Proof
Lean proof

By Jakub Halfar.

Evidence

Historical proof checks

These checks cover the bound’s mathematical statement. The paper and source notes are for citation.

kernel-checked

LowerBoundAt 13 6746626957

Original job: historical-20261026-071203-b9514d1c-halfar-n13. Original policy: d5ef26408bfac3533cf01bb992ecd3256c94be63c2b91dddc40ab53fbf08fd2e.

Linking lemma written by the Almanac.