The Number of Smallest Knots on the Cubic Lattice
It has been shown that the smallest knots on the cubic lattice are all trefoils of length 24. In this paper, we show that the number of such unrooted knots on the cubic lattice is 3496.
Diao, Y. (1994). The number of smallest knots on the cubic lattice. Journal of Statistical Physics, 74(5-6), 1247-1254.