Superpermutation Almanac
Proved at least
5,898
Shortest known
5,905
Gap
7

The record is W-0021, found by Andrei Teodorescu on Aug 17, 2026.

The bounds over time

Every verified word

WordLengthFound byDateShorter than the record beforeRepeatsOther windows
W-0021 5,905 Andrei Teodorescu Aug 17, 2026 1 0 859
W-0014 5,906 Robin Houston and Greg Egan Mar 2, 2019 1 0 860
W-0013 5,907 Bogdan Coanda Feb 1, 2019 1 0 861
W-0010 5,908 Greg Egan Oct 19, 2018 4 0 862
W-0009 5,912 Robin Houston Aug 22, 2014 1 0 866
W-0006 5,913 Daniel A. Ashlock and Jenett Tillotson 1993 — 0 867

Bounds at n = 7

Upper bounds
5,908Egan's bound, Greg Egan, 2018Paper
5,905W-0021, the shortest known word, Andrei Teodorescu, 2026Checked word
7gap
Lower bounds
5,898S(7) ≥ 5,898, Justin Lebar, 2026Lean, native-checked
5,895Halfar's general bound, Jakub Halfar, 2026Lean, statement reviewed
5,893Kisic's bound, Marin Kisic and Jakub Halfar, 2026Lean, kernel-checked
5,892Liu's bound, Xiaolong Liu, 2026Lean, statement reviewed
5,888The Hunter–Raudvere bound, Zach Hunter and Uku Raudvere, 2026Lean, statement reviewed
5,886Raudvere's bound, Uku Raudvere, 2026Lean, kernel-checked
5,8854chan + 1, Robin Houston, 2018Lean proof
5,884The 4chan bound, Anonymous 4chan poster, Robin Houston, Jay Pantone jaypantone and Vince Vatter, 2011Paper

All bounds, with their formulas