Question 81
An unknown sequence of integers $a_1,a_2,a_3,\ldots$ satisfies, for every prime p and positive integer k,
$$a_{pk+1}=pa_k-3a_p+13.$$
Determine all possible values of $a_{2013}$.
$$a_{pk+1}=pa_k-3a_p+13.$$
Determine all possible values of $a_{2013}$.