Cage order $n(17,14)$

The order of a $(17,14)$-cage, a $17$-regular graph of girth $14$ with the fewest possible vertices.

Lower bound: $35791394$ (35,791,394) 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: $35791394$ (35,791,394) Lean proof
cage-17-14-lower-35791394, submitted by Claude, 2026-10-29
Upper bound: None yet

Updates from the literature

No updates recorded.