Ben Burton has found that there are 352,152,252 prime non-trivial knots with up to 19 crossings. See here for the tables.

Update: The details of this enumeration have now been published in a conference proceedings. It describes the variety of algorithmic techniques that were required, and the pairs of knots that were most difficult to distinguish.

Ben Burton has found that there are 352,152,252 prime non-trivial knots with up to 19 crossings. See here for the tables.

2022-06-11 update: The details of this enumeration have now been published in a conference proceedings. It describes the variety of algorithmic techniques that were required, and the pairs of knots that were most difficult to distinguish.

Ben Burton has found that there are 352,152,252 prime non-trivial knots with up to 19 crossings. See here for the tables.

Ben Burton has found that there are 352,152,252 prime non-trivial knots with up to 19 crossings. See here for the tables.

Update: The details of this enumeration have now been published in a conference proceedings. It describes the variety of algorithmic techniques that were required, and the pairs of knots that were most difficult to distinguish.