Large gaps between consecutive prime numbers containing square-free numbers and perfect powers of prime numbers

DOI10.1090/proc/13010zbMath1338.11085arXiv1504.01645OpenAlexW1614241976MaRDI QIDQ2809190

Helmut Maier, Michael Th. Rassias

Publication date: 27 May 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01645

zbMATH Keywords

long gapssquare-free numbersconsecutive primespowers of primesprime-avoiding

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Distribution of primes (11N05)

Related Items (2)

Large gaps between consecutive prime numbers containing perfect \(k\)-th powers of prime numbers ⋮ Intervals without primes near elements of linear recurrence sequences

Cites Work

• Chains of large gaps between consecutive primes
• A large sieve density estimate near \(\sigma = 1\)
• Large Gaps Between Consecutive Prime Numbers Containing Perfect Powers
• The least square-free number in an arithmetic progression.
• The Difference between Consecutive Prime Numbers
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