Still tied to the recently celebrated pi-day, C. Rivera came up with another pi-puzzle.

In the always interesting Prime Curios! pages of my friend G. L. Honaker, Jr., we may read the following one:

100057 is "The first missing prime in the first million digits of π. Found in January 2001. [Blanchette]"

Q. Can you find the first missing prime for the first 10^n digits of pi, for n>6, up to the largest n you can evaluate?