Math 2.0

Proposition

Behrend's theorem

Statement

In arithmetic combinatorics, Behrend's theorem states that the subsets of the integers from 1 to nn in which no member of the set is a multiple of any other must have a logarithmic density that goes to zero as nn becomes large. The theorem is named after Felix Behrend, who published it in 1935.

Further reading

  1. Wikipedia, page 59852572, revision 1329702874, Behrend's theorem. adopted
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Changed4 November 2026

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