2017 Gauss 8 Problem 14

There are 20 pens to be given away to 4 students. Each student receives a different number of pens and each student receives at least one pen. What is the largest number of pens that a student can receive?

\textbf{(A)}\ 17\quad \textbf{(B)}\ 15\quad \textbf{(C)}\ 14\quad \textbf{(D)}\ 8\quad \textbf{(E)}\ 5

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.