S.Chmutov, S.Duzhin.
A lower bound for the number of Vassiliev knot invariants.
We prove that the number of primitive Vassiliev knot invariants of degree
$d$ grows at least as $d^{\log(d)}$ when $d$ tends to infinity. In
particular it grows faster than any polynomial in $d$. The proof is based on
the explicit construction of an ample family of linearly independent
primitive elements in the corresponding graded Hopf algebra.