The Skewes Number for Twin Primes: Counting Sign Changes of π 2(x) – C2Li2(x)

2011/01/01 by Marek Wolf · 2 citations
Mathematics · #Analytic Number Theory Research #Mathematics and Applications #Advanced Mathematical Identities #Twin prime #Sign (mathematics) #Combinatorics #Mathematics #Arithmetic #Computer science #Physics #Discrete mathematics #Number theory #Mathematical analysis

paper · pdf · doi:10.12921/cmst.2011.17.01.87-92

openalex publication_date 2011/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2025/11/06

Abstract

The results of computer investigation of the sign changes of the difference between the number of twin primes 2 () π x and the Hardy-Littlewood conjecture 22 Li ( )

Citations

• A sharp region where 𝜋(𝑥)-fc(r) is positive
• Sur la distribution des nombres premiers
• Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes
• Numerical recipes: the art of scientific computing
• A Quicker Convergence to Euler's Constant

Cited by

• Prime k-tuple [wikipedia]
• Skewes's number [wikipedia]

Related

• Analog of the Skewes number for twin primes
• Some history about Twin Prime Conjecture
• The twin prime conjecture
• On the Twin Prime Conjecture
• On the Asymptotic Density of Prime k-tuples and a Conjecture of Hardy and Littlewood