Another proof on the existence of Mertens's constant

DOI10.3792/pjaa.87.22zbMath1252.11006OpenAlexW2037971583MaRDI QIDQ542530

Marek Wójtowicz

Publication date: 10 June 2011

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.87.22

zbMATH Keywords

prime numberMertens' Constant

Mathematics Subject Classification ID

Rate of growth of arithmetic functions (11N56) Primes (11A41)

Cites Work

• Unnamed Item
• On the remainder in a series of Mertens
• Approximate formulas for some functions of prime numbers
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x). II
• The 𝑘^{𝑡ℎ} prime is greater than 𝑘(ln𝑘+lnln𝑘-1) for 𝑘≥2
• The n -th Prime is Greater than n logn