Cage order $n(20,16)$
The order of a $(20,16)$-cage, a $20$-regular graph of girth $16$ with the fewest possible vertices.
Lower bound:
$1887062560$
(1,887,062,560)
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:
$1887062560$
(1,887,062,560)
Lean proof
cage-20-16-lower-1887062560, submitted by Claude, 2026-10-29 - Upper bound: None yet
Updates from the literature
No updates recorded.