Length 1102 over {0, 1, 2, 3, 4, 5, 7}

Word of length 1102 over {0, 1, 2, 3, 4, 5, 7}

by David Renshaw, 2026-08-26 · JSON

This is a historical record from 2026-08-26, superseded on 2026-09-09 by length 1559 — jump to the current record (1559).

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

0 3 4 3 7 4 2 1 4 1 7 5 7 4 3 1 5 7 3 5 2 0 1 5 7 3 4 7 1 5 2 0 2 4 7 0 1 4 5 7 0 2 0 1 0 2 4 0 2 1 5 7 3 1 7 5 7 1 0 7 3 7 0 1 2 0 1 3 0 2 0 1 0 2 5 2 0 2 1 0 1 3 0 2 7 1 3 2 4 7 4 3 0 1 0 2 3 0 2 4 7 3 1 5 1 3 7 3 5 1 3 0 7 3 0 4 1 0 3 7 5 3 4 7 5 7 3 2 5 3 2 0 4 0 5 3 4 5 7 1 7 3 7 2 7 3 7 5 3 0 5 1 3 5 7 5 0 7 5 7 4 7 5 7 2 5 7 5 3 7 0 2 4 5 7 3 7 5 4 7 1 2 7 1 0 5 7 1 0 1 3 7 5 1 0 2 5 7 5 3 2 7 5 7 4 5 0 4 0 2 4 3 5 0 1 0 3 1 0 7 0 3 2 4 0 5 1 7 4 7 5 7 3 1 5 1 0 3 7 4 0 1 0 2 1 0 1 7 1 0 3 0 1 0 3 7 3 1 3 0 2 0 1 0 7 3 1 0 2 0 7 5 7 0 3 0 1 7 4 2 7 4 7 0 7 4 5 3 4 3 0 3 2 7 3 4 1 2 0 1 0 4 0 1 7 3 0 4 1 2 5 7 2 4 1 2 1 3 7 5 7 4 5 3 7 3 1 4 1 7 5 1 3 7 2 7 5 7 3 5 7 5 1 4 3 7 2 3 5 7 2 3 4 3 2 1 5 1 2 0 4 1 7 0 4 7 5 2 3 7 0 7 4 7 1 7 5 2 0 4 0 7 4 2 1 2 7 5 7 3 7 5 2 7 4 7 5 7 3 7 5 7 2 7 3 7 5 1 3 4 7 5 3 5 7 2 0 4 7 2 0 1 2 1 3 7 3 4 5 7 3 1 3 5 2 5 7 5 4 7 5 7 0 5 7 5 3 5 1 3 7 0 3 7 3 1 7 0 2 3 1 2 5 0 3 1 4 1 3 7 5 4 7 5 3 7 2 4 7 5 7 3 7 2 0 2 4 1 2 7 3 1 0 2 0 7 0 2 1 0 1 3 4 3 5 4 5 7 3 2 7 3 4 1 2 4 5 3 5 7 4 1 3 1 0 1 5 2 1 7 2 0 1 0 4 0 1 2 4 1 0 3 1 0 1 5 7 5 4 1 2 0 4 0 1 0 2 7 0 4 1 2 0 1 3 0 2 0 1 0 2 5 2 0 1 4 0 1 0 3 5 7 2 1 0 2 4 1 2 0 1 0 4 1 0 2 5 0 1 5 4 7 5 3 1 5 0 2 0 1 0 4 1 0 2 1 7 0 2 1 3 1 2 1 3 7 3 2 0 1 4 5 7 3 1 2 4 3 5 7 2 7 4 7 0 1 3 4 2 7 1 2 1 4 0 2 4 1 2 5 4 2 3 0 1 0 3 0 4 2 1 2 5 4 2 5 7 3 0 7 4 1 2 5 0 4 0 2 1 2 0 2 1 5 7 2 0 7 2 7 3 7 1 7 5 7 2 7 1 0 4 2 1 0 1 3 5 0 3 4 7 1 5 7 3 7 4 7 5 3 5 7 5 0 7 3 7 4 7 2 7 3 7 5 3 7 2 5 0 5 3 7 4 2 7 4 7 3 7 4 5 2 3 7 4 2 4 0 4 1 4 7 4 5 7 5 1 5 7 4 5 7 3 4 2 7 1 2 7 0 7 4 7 5 7 2 5 3 7 5 7 0 2 0 1 0 2 5 4 1 7 5 4 7 5 7 2 3 4 5 4 1 3 5 0 5 7 4 3 2 1 2 0 1 3 2 1 3 5 1 4 5 3 5 7 3 5 0 7 4 2 3 1 7 5 7 1 7 5 4 3 7 1 7 2 7 4 2 1 4 2 7 3 4 1 5 1 3 7 3 4 1 2 5 0 5 2 4 7 2 7 0 2 1 4 1 3 0 5 2 0 2 3 4 5 3 0 5 0 1 3 4 2 4 7 4 0 3 7 5 3 4 5 7 5 4 3 2 7 5 0 3 1 0 1 7 3 1 7 0 7 5 7 1 0 2 7 2 1 5 1 3 0 1 4 0 2 7 3 7 1 3 2 0 2 1 0 2 3 4 3 0 1 3 2 5 4 2 3 7 5 1 2 0 1 0 7 3 5 7 5 2 7 5 0 5 1 3 1 0 3 0 5 4 7 5 1 5 4 1 0 3 0 1 4 0 2 4 3 7 3 0 4 2 0 2 1 0 1 3 0 2 7 2 0 1 0 2 0 3 1 0 2 1 5 7 5 2 1 4 2 0 1 0 7 5 3 7 5 4 1 2 5 7 1 4 5 3 0 2 0 1 5 2 1 0 1 3 1 0 1 2 4 5 2 1 2 3 2 7 1 5 1 2 7 3 1 0 2 4 0 2

Alphabet {0, 1, 2, 3, 4, 5, 7}

size 7 · diameter 7 · record length 1559 · 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

1559 (was 1102) — David Renshaw, 2026-09-09
1102 (was 750) — David Renshaw, 2026-08-26
750 (was 625) — David Renshaw, 2026-08-19
625 (first) — David Renshaw, 2026-08-19

Comments

David Renshaw · 2026-08-26 14:49 UTC

Fifteen-minute improvement campaign seeded from word 41, the 750-symbol record for alphabet {0,1,2,3,4,5,7}. Ten parallel mobility-guided randomized DFS workers explored shallow, focused, reverse, and deep suffix rewrites for three five-minute phases. Verified phase records rose through 960 and 1,072 to 1,102. The final word was independently verified again before submission.

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