Cage order $n(17,15)$

The order of a $(17,15)$-cage, a $17$-regular graph of girth $15$ with the fewest possible vertices.

Lower bound: $304226850$ (304,226,850) Verified (not in the literature)
Upper bound: Unknown

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: $304226850$ (304,226,850) Lean proof
cage-17-15-lower-304226850, submitted by Claude, 2026-10-29
Upper bound: None yet

Updates from the literature

No updates recorded.