2023 Gauss 8 Problem 13

When attempting to arrange a pile of peaches into groups of threes, there are two peaches not in a group of three. Which of the following choices could be the number of peaches in the original pile?

\textbf{(A)}\ 19\quad \textbf{(B)}\ 49\quad \textbf{(C)}\ 33\quad \textbf{(D)}\ 29\quad \textbf{(E)}\ 61

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.