Small gaps between three almost primes and almost prime powers

Type: Article

Publication Date: 2022-01-01

Citations: 1

DOI: https://doi.org/10.4064/aa210325-27-11

Abstract

A positive integer is called an $E_j$-number if it is the product of $j$ distinct primes. We prove that there are infinitely many triples of $E_2$-numbers within a gap size of $32$ and infinitely many triples of $E_3$-numbers within a gap size of $15$. As

Locations

  • Acta Arithmetica - View
  • arXiv (Cornell University) - View - PDF

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