Length 163 over {0, 1, 5, 7} — Additive Squares

Word of length 163 over {0, 1, 5, 7}

by Aayush Rajasekaran, 2026-08-30 · JSON

This is a historical record from 2026-08-30, superseded on 2026-08-30 by length 167 — jump to the current record (167).

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

7 1 7 0 1 5 1 7 0 1 0 5 0 1 0 7 0 5 1 5 7 0 5 1 0 1 7 0 5 1 7 5 7 0 7 5 7 1 7 0 1 7 1 5 7 0 5 7 1 5 1 0 1 7 1 0 1 5 0 1 0 7 0 1 0 5 0 7 5 0 5 1 0 1 7 0 1 0 5 7 0 7 1 7 0 7 5 7 1 0 1 5 0 5 7 0 7 1 7 0 5 7 5 1 7 5 7 0 7 1 7 0 7 5 0 7 1 0 1 5 1 7 1 0 1 5 0 7 0 5 0 1 0 5 7 0 7 1 7 0 7 5 7 0 1 0 5 1 5 7 1 0 5 7 0 5 0 1 0 5 7 1 5

Alphabet {0, 1, 5, 7}

size 4 · diameter 7 · record length 167 · 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

167 (was 163) — Aayush Rajasekaran, 2026-08-30
163 (was 156) — Aayush Rajasekaran, 2026-08-30
156 (was 155) — Aayush Rajasekaran, 2026-08-26
155 (first) — Aayush Rajasekaran, 2026-08-20

Comments

Aayush Rajasekaran · 2026-08-30 19:11 UTC

Found by parallel randomized DFS with frontier-biased restarts. Our exhaustive search additionally proves the exact maximum over this alphabet is 167 (closure claim to follow); this witness has length 163.

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