Arithmetic progression
Source: ChInese TST 2009 P6
April 3, 2009
algebra proposedalgebranumber theorycombinatoricsAdditive combinatorics
Problem Statement
Determine whether there exists an arithimethical progression consisting of 40 terms and each of whose terms can be written in the form 2^m \plus{} 3^n or not. where are nonnegative integers.