# Maximal sets of integers not containing $k+1$ pairwise coprimes and having divisors from a specified set of primes

Abstract : We find the formula for the cardinality of maximal set of integers from $[1,\ldots,n]$ 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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Cited literature [2 references]

https://hal.inria.fr/hal-01184442
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• HAL Id : hal-01184442, version 1

### Citation

Vladimir Blinovsky. Maximal sets of integers not containing $k+1$ pairwise coprimes and having divisors from a specified set of primes. 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), 2005, Berlin, Germany. pp.335-340. ⟨hal-01184442⟩

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