(127) 2

Part of 1986 Tournament Of Towns

Problems(1)

TOT 127 1986 Autumn S2 N-1 infinite ar. progressions with diff 2,3,4,..,Ν

Source:

Does there exist a number

N

so that there are

N - 1

infinite arithmetic progressions with differences

2 , 3 , 4 ,..., N

, and every natural number belongs to at least one of these progressions?

algebraArithmetic ProgressionDifferencecombinatorics