The old script found in Perspolis
Source: Iranian National Olympiad (3rd Round) 2008
September 20, 2008
inequalitiesnumber theory proposednumber theory
Problem Statement
In an old script found in ruins of Perspolis is written:
This script has been finished in a year whose 13th power is
258145266804692077858261512663
You should know that if you are skilled in Arithmetics you will know the year this script is finished easily.
Find the year the script is finished. Give a reason for your answer.