Question 10
Let $(a_n)_{n \ge 1}$ be a sequence with the property that for every prime $p$ and for every positive integer $k$ the following relation holds:
$$
a_{kp+1} = pa_k - 3a_p + 13.
$$
Find $a_{2011}$.
$$
a_{kp+1} = pa_k - 3a_p + 13.
$$
Find $a_{2011}$.