Question 88
Compute the number of distinct pairs of the form
(first three digits of $x$, first three digits of $x^{4}$ )
over all integers $x\gt 10^{10}$.
For example, one such pair is $(100,100)$ when $x=10^{10^{10}}$.
(first three digits of $x$, first three digits of $x^{4}$ )
over all integers $x\gt 10^{10}$.
For example, one such pair is $(100,100)$ when $x=10^{10^{10}}$.