Primality conjecture for Chebyshev knots

Let $T_n$ denote the degree-$n$ Chebyshev polynomial of the first kind, and let $(i,j,k)$ be a reduced triple as in the source. Primality conjecture. Every knot of the form

$$(T_i,T_j,T_k)$$

for the reduced triple $(i,j,k)$ with $i\ge 3$ is prime, hence non-trivial. The conjecture is presented among open problems about knots parametrized by Chebyshev polynomials; no resolution is given in the supplied text.