444...4443 (all ... are fours) dividible by 13 exists?
Source: Dutch MO 2007 p3
September 1, 2019
number theorydivisibleDigits
Problem Statement
Does there exist an integer having the form (all fours, and ending with a three) that is divisible by ?
If so, give an integer having that form that is divisible by , if not, prove that such an integer cannot exist.