Additive Squares

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

size 5 · diameter 5 · record length 148 · JSON

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

Record word (length 148, by David Renshaw, 2026-08-18)

Display: drawn for the equivalent alphabet translated by -2 (drift removed).

0 4 1 4 0 2 0 5 4 2 5 0 2 5 4 1 5 4 5 2 5 4 5 1 4 1 0 1 4 1 5 2 1 2 4 0 2 0 1 0 4 0 1 0 2 1 0 5 2 4 5 4 0 5 4 2 0 2 1 4 1 0 2 1 4 0 4 5 0 1 5 2 5 4 2 1 2 5 1 5 0 2 4 5 2 1 4 5 2 4 5 4 1 4 5 2 4 5 0 2 1 4 1 0 4 5 4 0 2 5 0 2 1 0 1 4 0 1 5 1 0 4 0 1 0 4 5 4 2 4 5 4 0 5 4 2 1 2 0 2 1 5 2 1 2 4 0 4

History

← all alphabets