No-three-in-line $D(15)$

30 points of the 15 by 15 grid with no three on a line

The largest number of points of the $15 \times 15$ grid with no three on a line.

Value: $30$ Verified lower bound

Verified bounds

Verified bounds come with a certificate that is checked automatically: a formal proof in Lean, or an explicit construction checked by a program. Submit a certificate.

Lower bound: $30$ Checked construction
no-three-in-line-15-lower-30, submitted by daniel-munro, 2026-11-05
[construction from The No-Three-in-Line Problem, Achim Flammenkamp, 2026-10-28]
Upper bound: None yet

Updates from the literature

Upper bound: $30$
Trivial or easy according to the secondary source.
[via No-three-in-line problem - Wikipedia]
1977-03 Lower bound: $30$
M. Gardner, Mathematical Games, Scientific American 236 (March 1977) 139-140.
[via The No-Three-in-Line Problem, Achim Flammenkamp, 2026-10-28]