On intervals with few prime numbers

DOI10.1515/CRELLE.2007.057zbMath1137.11062OpenAlexW2030868139WikidataQ105836585 ScholiaQ105836585MaRDI QIDQ5421682

Helmut Maier, Cameron L. Stewart

Publication date: 24 October 2007

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2007.057

zbMATH Keywords

prime number theoremgaps between primesDickman functionBuchstab function

Mathematics Subject Classification ID

Distribution of primes (11N05) Primes (11A41)

Related Items (2)

Primes in Short Intervals: Heuristics and Calculations ⋮ Sums of Two Squares in Short Intervals

Cites Work

• Eine Bemerkung zur Konstruktion großer Primzahllücken
• Chains of large gaps between consecutive primes
• Very large gaps between consecutive primes
• A large sieve density estimate near \(\sigma = 1\)
• A Differential Delay Equation Arising from the Sieve of Eratosthenes
• Unusually Large Gaps Between Consecutive Primes
• Numerical Solution of Some Classical Differential-Difference Equations
• On the Number of Primes in an Arithmetic Progression
• Oscillation Theorems for Primes in Arithmetic Progressions and for Sifting Functions
• On the Numerical Solution of a Differential-Difference Equation Arising in Analytic Number Theory
• A Probabilistic Approach to a Differential-Difference Equation Arising in Analytic Number Theory
• The Difference between Consecutive Prime Numbers V
• The Difference between Consecutive Prime Numbers
• Primes in short intervals

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