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

Source:

August 29, 2019
algebraArithmetic ProgressionDifferencecombinatorics

Problem Statement

Does there exist a number NN so that there are Nāˆ’1N - 1 infinite arithmetic progressions with differences 2,3,4,...,N2 , 3 , 4 ,..., N , and every natural number belongs to at least one of these progressions?
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