The Difference Between Consecutive Primes

DOI10.1112/plms/s3-72.2.261zbMath0853.11076OpenAlexW2006825591MaRDI QIDQ4892403

Glyn Harman, Roger C. Baker

Publication date: 9 January 1997

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

Full work available at URL: https://doi.org/10.1112/plms/s3-72.2.261

zbMATH Keywords

zero density theoremsconsecutive primes

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Distribution of primes (11N05)

Related Items (21)

Gaussian phenomena for small quadratic residues and non-residues ⋮ Integers with dense divisors ⋮ Unnamed Item ⋮ The query complexity of order-finding ⋮ REPRESENTING AN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF TWO SMALL FACTORS ⋮ On the Möbius function in all short intervals ⋮ Compact sequences of co-primes and their applications to the security of CRT-based threshold schemes ⋮ On polynomial-factorial diophantine equations ⋮ Integers with dense divisors. II ⋮ A new upper bound for \(B_2 [2\) sets] ⋮ A generalization of Dirichlet approximation theorem for the affine actions on real line ⋮ Explicit estimate on primes between consecutive cubes ⋮ Variations of the distribution function of \(\varphi(n)/n\) ⋮ The distribution of prime ideals of imaginary quadratic fields ⋮ A Dichotomy Theorem for First-Fit Chain Partitions ⋮ Bounded gaps between primes in short intervals ⋮ Landau's problems on primes ⋮ A further generalization of \(\lim_{n \to \infty}\sqrt[n{n!}/n = 1/e\)] ⋮ On a graph colouring problem ⋮ Estimates of the least prime factor of a binomial coefficient ⋮ Some analytical and computational aspects of prime numbers, prime number theorems and distribution of primes with applications

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