Short effective intervals containing primes

2002/12/30 by Olivier Ramaré, Yannick Saouter · 48 citations
Mathematics · #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Arithmetic #Combinatorics #Discrete mathematics #Interval (graph theory) #Mathematical Dynamics and Fractals #Mathematics #Number theory #Prime (order theory) #Prime number #Prime number theorem #Sieve (category theory)

paper · pdf · doi:10.1016/s0022-314x(02)00029-x

published in Journal of Number Theory 98(1), 10-33 (Elsevier BV)

openalex publication_date 2002/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Citations

• Explicit Bounds for Some Functions of Prime Numbers

Cited by

• Primes between consecutive powers
• Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4⋅10¹⁸
• Le plus grand facteur premier de la fonction de Landau
• An Explicit Result for Primes Between Cubes
• The ternary Goldbach conjecture is true
• Goldbach’s Problem
• Updating the error term in the prime number theorem
• Fourier optimization and prime gaps
• On the Riemann hypothesis and the difference between primes