Find the largest p_{n} such that p_{n}+\sqrt{p_{n-1}+\sqrt{p_{n-2}+\sqrt{\ldots+\sqrt{p_{1}}}}} \leq 100, where p_{n} denotes the n^{\text {th }} prime number.
Find the largest p_{n} such that p_{n}+\sqrt{p_{n-1}+\sqrt{p_{n-2}+\sqrt{\ldots+\sqrt{p_{1}}}}} \leq 100, where p_{n} denotes the n^{\text {th }} prime number.