### Sets of integers without k+1 coprimes and with specified divisors

*Vladimir Blinovsky*

#### Abstract

We find the formula for the cardinality of maximal set of integers from [1,…,n] which does not contain k+1 pairwise coprimes and has divisors from a specified set of primes. This formula is defined by the set of multiples of the generating set, which does not depend on n.

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