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SPACINGS BETWEEN SELECTED PRIME DIVISORS OF AN INTEGER

Published online by Cambridge University Press:  15 September 2022

JEAN-MARIE DE KONINCK*
Affiliation:
Department of Mathematics, Université Laval, Québec, Canada
IMRE KÁTAI
Affiliation:
Computer Algebra Department, Eötvös Loránd University, Budapest, Hungary e-mail: katai@inf.elte.hu

Abstract

Given a large integer n, determining the relative size of each of its prime divisors as well as the spacings between these prime divisors has been the focus of several studies. Here, we examine the spacings between particular types of prime divisors of n, such as prime divisors in certain congruence classes of primes and various other subsets of the set of prime numbers.

Keywords

Type
Research Article
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

The work of the first author was supported in part by a grant from the Natural Sciences and Engineering Research Council of Canada.

References

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SPACINGS BETWEEN SELECTED PRIME DIVISORS OF AN INTEGER
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