Superpermutation Almanac

Changes

Oct 29, 2026New lower bounds for n = 10, 12 and 14, by Jay Pantone jaypantone
Oct 29, 2026Pantone's bound, by Jay Pantone jaypantone
Oct 29, 2026Jay Pantone's bound, by Jay Pantone jaypantone
Oct 28, 2026n = 11: a word of 43,930,548 letters, 30 shorter, by Jay Pantone jaypantone
Oct 28, 2026The 926683/1814400 bound, by Jay Pantone jaypantone
Oct 20, 2026n = 8: a word of 46,173 letters, 1 shorter, by Theo H.
Oct 20, 2026n = 8, 12, 13 and 14: shorter words by Jakub Halfar
Oct 19, 2026n = 8 and 14: shorter words by William Echols
Oct 18, 2026n = 12: a word of 522,737,173 letters, 1 shorter, by Theo H.
Oct 17, 2026n = 12 and 14: record words by William Echols
Oct 8, 2026n = 13: a word of 6,747,802,393 letters, 169 shorter, by Jakub Halfar
Oct 6, 2026n = 10, 11, 12 and 13: shorter words by Jakub Halfar
Oct 6, 2026New lower bounds for n = 8 to 14, by Jakub Halfar
Oct 6, 2026Halfar's general bound, by Jakub Halfar
Oct 6, 2026Kisic's bound, by Marin Kisic and Jakub Halfar
Oct 6, 2026The 1771/3456 bound, by Jakub Halfar
Oct 5, 2026n = 11, 12 and 13: shorter words by Jakub Halfar
Oct 5, 2026n = 12: a notable word of 522,745,531 letters by Theo H.
Oct 4, 2026n = 11, 12 and 13: shorter words by Jakub Halfar
Oct 4, 2026n = 11: a word of 43,930,624 letters, 4 shorter, by Theo H.
Oct 3, 2026n = 11 and 13: shorter words by Jakub Halfar
Oct 3, 2026n = 11: a word of 43,930,668 letters, 10 shorter, by rumstd
Oct 2, 2026n = 9 and 10: shorter words by rumstd
Oct 2, 2026n = 11: a word of 43,930,678 letters, 2 shorter, by Theo H.
Oct 1, 2026n = 9, 10, 11, 12 and 13: shorter words by Jay Pantone jaypantone
Sep 29, 2026n = 12: a word of 522,748,475 letters, 45 shorter, by William Echols
Sep 29, 2026n = 8, 9, 10, 11, 12 and 13: shorter words by Jay Pantone jaypantone
Sep 29, 2026The 43/80 bound, by Jay Pantone jaypantone
Sep 29, 2026The 3/5 bound, by Jay Pantone jaypantone
Sep 29, 2026The 101/120 bound, by Jay Pantone jaypantone
Sep 28, 2026n = 8: 2 shorter words by rumstd
Sep 4, 2026n = 8: S(8) ≥ 46,130, by William Echols
Aug 17, 2026n = 7: a word of 5,905 letters, 1 shorter, by Andrei Teodorescu
Aug 13, 2026n = 7: S(7) ≥ 5,898, by Justin Lebar
Aug 10, 2026Liu's bound, by Xiaolong Liu
Jul 29, 2026n = 6: S(6) ≥ 872, by Benjamin Grayzel
Jul 28, 2026The Hunter–Raudvere bound, by Zach Hunter and Uku Raudvere
Jul 28, 2026Egan's bound minus one, by Uku Raudvere
Jul 27, 2026n = 11, 12 and 13: record words by Uku Raudvere
Jul 26, 2026n = 9 and 10: record words by William Echols
Jul 26, 2026n = 8: a word of 46,204 letters, 1 shorter, by Uku Raudvere
Jul 18, 2026Raudvere's bound, by Uku Raudvere
Mar 2, 2019n = 7: a word of 5,906 letters, 1 shorter, by Robin Houston and Greg Egan
Feb 1, 2019n = 7: a word of 5,907 letters, 1 shorter, by Bogdan Coanda
Nov 2, 20184chan + 1, by Robin Houston
Oct 20, 2018n = 9: a word of 408,966 letters by Greg Egan
Oct 20, 2018Egan's bound, by Greg Egan
Oct 19, 2018n = 7 and 8: record words by Greg Egan
Aug 22, 2014n = 7: a word of 5,912 letters, 1 shorter, by Robin Houston
Aug 21, 2014n = 6: a word of 872 letters, 1 shorter, by Robin Houston
Aug 21, 2014The recursive bound minus one, by Robin Houston
Aug 13, 2014n = 5: a notable word of 153 letters by Ben Chaffin
Aug 13, 2014n = 5: S(5) ≥ 153, by Ben Chaffin
Sep 17, 2011The 4chan bound, by Anonymous 4chan poster, Robin Houston, Jay Pantone jaypantone and Vince Vatter
1993n = 3, 4, 5, 6 and 7: record words by Daniel A. Ashlock and Jenett Tillotson
1993The recursive bound, by Daniel A. Ashlock and Jenett Tillotson