Cage order $n(10,15)$

The order of a $(10,15)$-cage, a $10$-regular graph of girth $15$ with the fewest possible vertices.

Lower bound: $5978711$ (5,978,711) 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: $5978711$ (5,978,711) Lean proof
cage-10-15-lower-5978711, submitted by Claude, 2026-10-29
Upper bound: None yet

Updates from the literature

No updates recorded.