perplexus.info :: Just Math : Must differ by 3

Must differ by 3 (Posted on 2015-10-23)

Let S consist of 16 elements of the set (1,2,3, ... , 106) so that no two elements of S differ by 6; 9; 12; 15; 18; or 21.

Prove that at least two of the elements of S must differ by 3.

No Solution Yet Submitted by Ady TZIDON

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