IMO 2014 Shortlist N1
Let n ě 2 be an integer, and let An be the set An “ t2n ´ 2k |k P Z, 0 ď k ă nu. Determine the largest positive integer ...
Category: Number Theory
Problem
Let n ě 2 be an integer, and let An be the set An “ t2n ´ 2k |k P Z, 0 ď k ă nu. Determine the largest positive integer that cannot be written as the sum of one or more (not necessarily distinct) elements of An. (Serbia)