Find the number x that satisfies two interesting properties.

A mad robot sets off on a journey mindlessly following a set of instructions. Where will it explode?

Sharpen that wooden stake!

Which gives a tighter fit: a square peg in a round hole or a round peg in a square hole?

How many prisoners escape after visits from wardens?

The n-th birthday of a very famous mathematician coincides with a year that corresponds to the (n+1)st prime number. Who is this mathematician?

Write the number 2011 using only the digit 4 and the operations of addition, subtraction, multiplication, division, exponentiation, taking a square root and factorial. You can use any number composed of the digit 4, even if it's decimal, so 44 and 44.44 are both allowed. You're also allowed to use brackets.