Use induction to show that, for all n, there exists a set of n distinct odd primes {p_{1,...,}p_{n}} such that every prime in the list is a quadratic residue modulo anyother prime in the list.

I'm confused as to how we can construct the p_{k+1 }prime such that it is a quadratic residue for {p_{1,...,}p_{n}} and that {p_{1,...,}p_{n}} are quadratic residues of p_{k+1}. Any help solving this problem would be appreciated. Thanks!