Superpermutation Almanac
Proved at least
43,917,903
Shortest known
43,930,548
Gap
12,645

The record is W-0079, found by Jay Pantone jaypantone on Oct 28, 2026.

The bounds over time

Every verified word

WordLengthFound byDateShorter than the record beforeRepeatsOther windows
W-0079 43,930,548 Jay Pantone jaypantone Oct 28, 2026 30 19,768 3,993,970
W-0063 43,930,578 Jakub Halfar Oct 6, 2026 36 19,784 3,993,984
W-0052 43,930,614 Jakub Halfar Oct 5, 2026 9 18,816 3,994,988
W-0048 43,930,623 Jakub Halfar Oct 4, 2026 1 18,815 3,994,998
W-0047 43,930,624 Theo H. Oct 4, 2026 4 18,816 3,994,998
W-0045 43,930,628 Jakub Halfar Oct 4, 2026 16 18,814 3,995,004
W-0044 43,930,644 Jakub Halfar Oct 3, 2026 5 18,816 3,995,018
W-0042 43,930,649 Jakub Halfar Oct 3, 2026 19 18,816 3,995,023
W-0041 43,930,668 rumstd Oct 3, 2026 10 18,815 3,995,043
W-0039 43,930,678 Theo H. Oct 2, 2026 2 18,816 3,995,052
W-0034 43,930,680 Jay Pantone jaypantone Oct 1, 2026 9 18,816 3,995,054
W-0025 43,930,689 Jay Pantone jaypantone Sep 29, 2026 18,118 18,816 3,995,063
W-0018 43,948,807 Uku Raudvere Jul 27, 2026 — 0 4,031,997

Bounds at n = 11

Upper bounds
43,948,808Egan's bound, Greg Egan, 2018Paper
43,948,807Egan's bound minus one, Uku Raudvere, 2026Lean, kernel-checked
43,942,416The 101/120 bound, Jay Pantone jaypantone, 2026Lean, kernel-checked
43,932,672The 3/5 bound, Jay Pantone jaypantone, 2026Lean, kernel-checked
43,930,548W-0079, the shortest known word, Jay Pantone jaypantone, 2026Checked word
12,645gap
Lower bounds
43,917,903S(11) ≥ 43,917,903, Jakub Halfar, 2026Lean, kernel-checked
43,917,903Pantone's bound, Jay Pantone jaypantone, 2026Lean, statement reviewed
43,917,793Halfar's general bound, Jakub Halfar, 2026Lean, statement reviewed
43,916,736Kisic's bound, Marin Kisic and Jakub Halfar, 2026Lean, kernel-checked
43,916,235Liu's bound, Xiaolong Liu, 2026Lean, statement reviewed
43,912,566The Hunter–Raudvere bound, Zach Hunter and Uku Raudvere, 2026Lean, statement reviewed
43,910,408Raudvere's bound, Uku Raudvere, 2026Lean, kernel-checked
43,908,4894chan + 1, Robin Houston, 2018Lean proof
43,908,488The 4chan bound, Anonymous 4chan poster, Robin Houston, Jay Pantone jaypantone and Vince Vatter, 2011Paper

All bounds, with their formulas