Any idea how to solve the equation 78^x = x (mod 10^12) ? Assume that x is a 12 digits number
I've looked over every congruence and can't seem to find anything useful.
Last edited by ShadowKnight8702; March 13th 2013 at 05:58 PM.
Any idea how to solve the equation 78^x = x (mod 10^12) ?
I've looked over every congruence and can't seem to find anything useful.
Hi ShadowKnight8702!
Let's see... you're looking for a number x such that the last 12 digits of 78^x is the same as the last 12 digits of x.
Perhaps we should start with just the last digit.
Can you solve 78^x = x (mod 10)?