Length 2797 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

Word of length 2797 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

by David Renshaw, 2026-08-20 · JSON

This is a historical record from 2026-08-20, superseded on 2026-08-20 by length 5001 — jump to the current record (100000).

Display: drawn for the equivalent alphabet translated by -8 (drift removed); downsampled ×3.

15 6 3 2 6 2 8 2 6 5 8 1 14 9 3 14 1 13 10 11 15 1 2 4 8 11 14 0 4 13 15 9 5 6 3 14 9 6 12 2 0 5 11 12 3 0 2 8 15 3 10 15 11 0 12 3 14 15 14 13 9 6 14 8 13 1 15 14 8 6 8 2 7 2 14 10 7 9 11 13 11 9 6 10 9 4 7 8 2 1 2 12 15 3 4 2 14 0 9 13 5 2 13 15 6 15 2 15 0 2 10 15 6 3 10 3 0 6 8 7 2 15 13 14 8 6 1 11 13 8 1 0 13 4 1 0 2 4 14 2 0 1 2 10 14 12 7 13 2 9 15 12 7 10 12 0 6 15 11 6 9 1 3 2 13 2 11 3 15 9 2 8 9 14 12 13 9 3 15 14 13 10 15 2 0 11 3 2 6 11 6 13 12 9 5 6 10 12 14 15 6 9 13 5 6 15 11 15 14 15 11 13 6 15 10 2 6 15 8 11 15 12 11 7 9 0 2 15 13 10 4 15 5 6 12 15 14 12 13 14 6 3 1 2 6 13 0 4 6 15 9 0 8 5 15 13 15 10 3 15 9 1 8 15 5 4 2 1 0 13 1 0 2 15 11 13 0 9 12 4 11 15 13 1 2 9 4 1 0 15 14 0 3 0 7 13 11 15 8 13 15 14 6 9 8 14 2 13 2 0 7 12 1 11 4 0 2 0 9 2 12 5 0 12 13 6 0 12 2 0 10 1 5 15 10 12 15 11 13 5 1 10 14 5 14 15 9 2 1 15 0 2 0 3 11 12 13 12 2 1 2 0 1 6 0 14 2 0 3 0 9 0 14 12 3 13 0 3 1 0 2 1 4 8 6 12 1 14 9 8 14 11 10 4 7 6 15 13 0 1 6 9 0 10 13 0 4 7 15 11 10 0 2 15 12 15 11 9 13 15 9 8 5 1 4 13 14 15 0 12 13 14 7 5 0 4 2 14 4 5 15 5 12 1 0 14 0 5 0 3 4 2 15 2 0 13 11 1 5 3 1 2 0 1 0 13 5 10 2 3 0 10 15 6 4 11 15 10 15 12 15 2 1 10 0 6 11 0 15 11 15 7 10 14 8 5 15 8 13 14 0 8 2 3 6 0 10 14 10 5 1 2 1 4 5 11 0 4 6 14 0 10 11 15 9 0 3 0 6 8 7 3 11 12 4 3 7 3 15 14 7 3 11 13 15 13 10 8 4 9 8 0 12 3 0 3 6 11 10 12 13 6 10 12 14 15 14 12 13 9 6 14 12 1 5 13 15 14 11 9 15 7 1 11 0 3 12 14 13 9 14 6 14 12 11 2 15 11 13 8 15 11 5 0 7 10 14 15 13 7 13 15 14 12 13 7 15 6 15 13 9 3 14 12 10 13 14 13 4 0 5 15 8 0 10 11 12 15 9 3 15 2 1 10 15 11 13 7 3 1 2 8 0 12 8 3 0 6 1 11 15 9 2 13 10 1 12 13 15 12 10 14 10 2 6 0 2 14 4 13 14 11 10 12 0 13 15 14 15 13 11 12 14 11 6 14 4 2 3 10 14 5 8 15 7 4 7 2 8 0 13 15 3 13 0 4 6 4 15 2 1 2 9 0 13 14 13 15 0 3 9 14 1 0 4 2 8 2 13 1 7 13 8 14 6 11 15 5 7 15 13 11 14 6 0 3 1 8 12 10 0 5 13 9 15 13 4 7 15 2 0 6 8 7 12 0 2 1 7 14 5 1 8 2 11 14 12 2 7 0 10 1 13 2 1 12 2 3 2 6 10 5 0 3 1 13 10 7 2 14 0 2 1 2 6 12 2 9 12 15 5 1 8 2 15 10 12 11 6 0 3 7 10 5 8 14 6 12 10 5 7 13 14 7 11 9 4 14 6 3 0 7 8 4 9 0 1 6 8 9 8 1 5 15 13 8 4 14 12 7 15 1 2 0 1 2 15 11 9 1 14 15 10 7 1 0 10 5 15 2 8 15 14 12 15 13 4 9 5 15 2 7 14 5 13 14 9 8 14 13 8 15 0 1 2 3 1 14 2 0 9 12 6 8 0 4 8 4 3 2 15 13 14 12 7 14 7 13 4 13 15 1 4 15 0 1 2 1 10 1 13 0 4 12 15 3 10 2 13 14 6 11 6 0 14 3 9 2 3 5 14 3 14 9 15 9 11 15 1 15 3 11 9 8 5 9 8 14 5 14 9 12 0 11 12 5 1 7 0 1 0 3 15 0 13 14 15 2 3 7 10 2 9 12 13 11 5 13 1 11 4 12 14 10 7 15 11 6 13 7 11 13 15 10 7 9 11 13 0 6 3 12 6 11 8 14 1 15 4 0 4 2 6 1 5 15 14 15 11 13 9 1 11 6 9 12 15 5 1 13 15 11 0 6 1 12 13 1 15 9 3 15 13 12 11 15 13 15 12 4 14 13 0 14 6 10 8 9 10 11 2 4 5 13 12 14 10 0 9 4 1 7 1 3 0 3 6 0 14 3 0 5 3 14 15 7 2 10 9 0 4 6 12 14 12 1 6 1 13 14 6 1 2 0 7 6 14 15 3 2 8 11 2 9 15 11 12 2 7 14 6 5 11 1 3 2 7 14 10 15 3 7 10 6 13 8 6 2 1 10 9 1 2 11 12 4 14 15 0 5 11 6 1 8 1 0 7 10 1 2 8 10 1 15 8 0 5 7 8 0 5 0 4 8 10 7 1 10 1 4 6 14 8 9 8 12 1 7 11 15 14 15 13 5 12 9 4 5 15 1 3 6 15 11 13 10 15 0 3 5 14 9 8 12 11 13 15 7 13 14 5 3 1 8 0 14 4 7 4 3 14 6 0 2 1 10 0 5 7 10 15 12 14 4 0 4 3 14 11 9 0 5 3 13 11 15 4 13 5 3 14 15 12 11 10 15 12 11 2 14 15 5 0 9 2 12 14 4 0 11 6 11 15 12 13 0 14 15 9 0 5 15 8 11 3 8 15 12 9 14 15 14 12 15 6 11 7 8 12 9 7 12 13 14 13 9 11 7 10 14 9 1 6 11 8 2 11 13 5 14 8 14 15 10 4 10 2 14 1 13 7 14 15 11 13 0 6 1 10 0 9 15 14 15 0 10 4 7 12 11 13 7 13 12 2 8 3 6 10 4 10 6 2 8 4 11 0 5 14 7 3 7 8 3 2 10 12 13 7 11 0 2 12 7 9 4 3 0 4 11 12 15 11 15 13 9 8 1 15 6 15 14 10 0 14 0 7 8 13 15 13 7 10 7 4 14 10 11 3 4 0 11 5 13 9 0 9 1 13 1 7 13 11 3 12 11 15 13 14 15 4 15 14 13 11 0 6 2 15 8 3 14 15 13 14 11 15 0 12 14 1 7 12 7 0 1 4 5 14 2 3 15 6 8 14 15 9 6 9 13 15 12 10 12 14 12 0 1 14 10 1 15 12 15 7 0 2 7 15 3 14 8 13 7 4 0 15 14 0 4 0 5 1 7 4 11 2 12 5 13 15 11 3 4 8 15 5 0 2 10 2 8 12 15 7 14 11 8 12 10 8 0 6 14 12 14 13 3 11 15 5 2 13 9 11 7 15 14 3 10 2 12 7 5 11 13 15 6 12 8 15 14 15 13 14 12 5 10 15 8 10 11 1 10 15 6 10 0 11 5 9 15 5 11 8 13 12 15 14 11 14 7 14 9 15 6 0 13 12 8 10 0 14 2 4 13 14 1 7 10 14 12 4 3 9 13 4 11 14 12 8 2 12 1 0 6 8 13 2 9 13 0 2 4 14 13 14 7 3 5 13 0 8 11 7 15 13 11 15 6 1 15 0 13 6 14 9 14 1 8 15 14 13 14 15 11 12 6 14 10 15 14 9 8 11 10 8 11 9 3 5 10 12 10 6 15 14 13 3 15 9 8 12 15 10 8 5 1 15 0 10 14 6 1 8 13 3 15 0 5 2 15 1 0 1 13 10 11 9 10 8 4 8 13 12 6 13 9 0 14 1 10 2 15 3 2 1 10 4 3 2 0 13 0 9 0 7 8 2 14 12 13 3 9 14 13 14 1 0 6 1 15 7 2 0 14 15 9 0 1 9 12 6 0 2 13 2 14 8 11 9 12 11 15 7 12 3 5 6 5 10 13 15 5 15 11 14 6 10 13 6 10 2 13 12 14 6 2 4 14 12 5 8 7 13 8 2 1 4 3 10 1 9 0 9 13 12 6 7 12 2 12 13 15 9 0 1 7 9 15 14 1 6 2 7 14 1 3 15 13 11 10 8 11 14 15 3 1 13 14 7 10 8 12 10 1 10 13 3 0 11 13 15 14 11 3 12 7 15 13 15 10 14 13 5 12 14 10 1 12 14 7 0 11 2 3 14 15 3 7 14 15 11 4 3 14 11 14 4 11 1 7 6 15 14 6 13 0 3 5 4 12 5 7 0 3 2 3 11 15 6 7 15 9 11 1 10 13 1 7 15 4 11 15 9 13 5 15 13 9 13 8 15 0 7 15 2 14 15 4 0 8 12 1 11 15 9 4 11 13 5 12 10 6 0 10 14 0 1 5 15 14 10 15 6 11 1 8 1 12 11 14 10 6 13 8 15 3 2 0 1 8 4 1 0 1 2 8 10 9 15 6 2 0 9 1 14 5 4 2 0 1 13 15 9 15 3 15 10 4 5 3 0 10 12 13 15 11 4 15 12 13 0 13 10 8 12 0 14 8 0 15 13 1 3 12 13 3 9 0 4 10 15 1 3 5 15 5 0 2 0 1 2 8 12 3 4 5 1 3 0 2 5 3 0 9 12 13 2 3 1 15 9 15 13 10 12 4 14 1 7 1 0 9 15 14 13 6 11 10 9 0 1 10 11 4 3 11 13 6 5 3 11 7 13 14 9 15 4 0 11 15 13 12 6 15 12 10 12 2 1 2 11 14 7 4 11 14 15 13 12 14 1 7 6 15 2 6 2 13 14 13 4 1 14 10 0 6 14 12 13 2 5 9 2 1 2 6 3 15 9 0 3 15 12 13 15 7 2 6 4 11 14 8 0 15 3 2 9 6 1 3 15 14 13 9 11 15 8 12 5 9 12 14 9 0 1 9 15 4 14 0 15 6 14 15 8 11 15 13 0 7 3 9 6 15 12 6 10 11 14 5 0 9 11 1 4 1 5 13 0 2 5 0 13 0 2 9 15 3 9 15 6 15 10 14 8 7 0 10 1 3 0 12 10 6 0 3 14 13 3 4 14 15 6 14 12 14 4 9 0 15 10 4 9 8 2 5 12 1 9 15 3 2 15 14 13 3 10 9 13 2 11 0 7 3 14 5 3 6 1 11 1 2 6 14 0 9 12 0 12 6 4 15 14 12 14 9 8 12 13 14 12 10 12 1 3 1 2 5 14 9 8 7 2 5 13 10 9 5 15 7 15 9 10 8 12 8 10 0 11 15 9 1 7 8 3 7 12 15 7 14 11 15 9 7 9 12 2 13 11 15 0 12 15 9 15 12 13 1 13 15 14 13 4 3 4 2 8 11 2 8 1 7 6 1 15 9 8 13 12 6 15 7 13 15 9 2 11 6 10 0 14 3 5 6 0 9 15 5 0 1 6 4 12 15 13 4 15 12 14 0 8 14 10 4 1 9 12 1 5 1 8 4 12 14 11 7 15 8 2 14 12 1 7 14 11 15 13 11 9 10 0 15 12 8 10 12 8 3 0 9 3 15 7 13 11 13 12 0 13 9 8 7 8 13 12 15 13 4 9 10 12 2 13 12 4 1 6 3 15 4 2 8 7 5 6 10 15 8 14 11 15 7 13 12 13 15 8 3 1 7 15 14 15 0 12 14 12 13 12 8 9 8 1 12 0 3 14 12 6 14 7 12 15 13 12 6 8 13 15 11 15 4 11 9 1 11 10 14 10 13 6 13 5 1 3 12 5 1 3 2 0 8 13 15 14 1 10 2 13 5 7 1 2 14 0 2 3 14 7 14 1 4 5 6 0 10 4 0 6 4 7 12 9 14 3 15 14 15 5 10 7 15 10 9 4 5 10 7 0 2 11 9 7 10 14 13 14 11 1 10 12 1 12 15 3 14 6 13 5 15 14 15 11 9 1 5 2 0 4 11 15 14 10 5 6 4 8 11 14 3 4 9 8 3 13 8 14 8 13 3 11 13 9 11 5 8 9 12 14 11 6 1 5 0 3 10 3 1 2 7 15 14 7 8 0 12 7 11 9 15 4 15 11 6 3 12 0 1 15 8 2 3 9 4 2

Alphabet {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

size 16 · diameter 15 · record length 100000 · JSON

open No exhaustive search has settled this alphabet; the record is a lower bound on the (possibly infinite) maximum.

Know the exact maximum? Log in to claim this alphabet closed.

Record history

100000 (was 19201) — David Renshaw, 2026-09-09
19201 (was 19200) — Aayush Rajasekaran, 2026-08-26
19200 (was 19112) — Bryna Kra, 2026-08-26
19112 (was 17205) — Aayush Rajasekaran, 2026-08-25
17205 (was 17199) — David Renshaw, 2026-08-25
17199 (was 6870) — David Renshaw, 2026-08-20
6870 (was 5001) — David Renshaw, 2026-08-20
5001 (was 2797) — David Renshaw, 2026-08-20
2797 (first) — David Renshaw, 2026-08-20

Comments

David Renshaw · 2026-08-20 02:15 UTC

15-minute hybrid mobility, prefix-restart, insertion, and local splice search; independently verified exact alphabet {0..15}.

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