Unknotting numbers of nine prime 10-crossing knots

Determine the unknotting numbers of each of the nine prime 10-crossing knots that remain unresolved, as cataloged on the KnotInfo database, in order to complete the classification of unknotting numbers for all 10-crossing prime knots.

Background

The unknotting number u(K) is a fundamental knot invariant measuring the minimal number of crossing changes needed to transform a knot K into the unknot. Despite extensive progress using a variety of techniques, a small set of 10-crossing prime knots still lacks determined unknotting numbers.

The paper highlights that, as of the time of writing, nine such 10-crossing knots remain unresolved and points readers to KnotInfo for the current list. Establishing these values would close a notable gap at low crossing number.