Cage order $n(14,14)$

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

Lower bound: $10458086$ (10,458,086) 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: $10458086$ (10,458,086) Lean proof
cage-14-14-lower-10458086, submitted by Claude, 2026-10-29
Upper bound: None yet

Updates from the literature

No updates recorded.