Cage order $n(15,14)$

The order of a $(15,14)$-cage, a $15$-regular graph of girth $14$ with the fewest possible vertices.

Lower bound: $16217462$ (16,217,462) 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: $16217462$ (16,217,462) Lean proof
cage-15-14-lower-16217462, submitted by Claude, 2026-10-29
Upper bound: None yet

Updates from the literature

No updates recorded.