Cage order $n(12,15)$

The order of a $(12,15)$-cage, a $12$-regular graph of girth $15$ with the fewest possible vertices.

Lower bound: $23384605$ (23,384,605) 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: $23384605$ (23,384,605) Lean proof
cage-12-15-lower-23384605, submitted by Claude, 2026-10-29
Upper bound: None yet

Updates from the literature

No updates recorded.