Skip to Main content Skip to Navigation
Conference papers

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 $n$.
Complete list of metadata

Cited literature [2 references]  Display  Hide  Download

https://hal.inria.fr/hal-01184442
Contributor : Coordination Episciences Iam <>
Submitted on : Monday, August 17, 2015 - 10:50:15 AM
Last modification on : Tuesday, December 17, 2019 - 9:30:02 AM
Long-term archiving on: : Wednesday, November 18, 2015 - 10:35:28 AM

File

dmAE0165.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01184442, version 1

Collections

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⟩

Share

Metrics

Record views

224

Files downloads

611