نص أصلي - انجليزي - Prime Number Problem

Could it be that some of the 20 solutions for this kind of chocolate gift is related to prime numbers?

Let's say that the gold chocolate spheres of the inner part of the gift count p, q & r spheres in each dimension.

Question: Is there a chocolate gift, satisfying the Yoshigahara's conditions, using prime numbers in some or all p, q & r?