# The Agony of Extraordinarily Huge numbers

**Number Theory**Level 5

\[\huge 19^{17^{15^{\cdots^{3^{1}}}}}\]

Find the last \(2\) digits of the above number.

**Details and Assumptions**:

The powers of the next preceding number decreases by \(2\) starting from \(17\) and ending off with \(1\).