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On a conjecture of Erdős on the sum \(\sum_{p\leq n}1/(p\,\log \,p)\)

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Publication:810562
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DOI10.1016/0022-314X(91)90030-FzbMath0734.11023WikidataQ123240987 ScholiaQ123240987MaRDI QIDQ810562

Zhenxiang Zhang

Publication date: 1991

Published in: Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

prime number theoremprimitive sequencesextremal properties of primes


Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Distribution of integers with specified multiplicative constraints (11N25) Primes (11A41)


Related Items (6)

Upper bound of \(\sum 1/(a_i \log a_i)\) for quasi-primitive sequences ⋮ On the Erdős primitive set conjecture in function fields ⋮ The Erdős conjecture for primitive sets ⋮ On the size of primitive sets in function fields ⋮ Sums over primitive sets with a fixed number of prime factors ⋮ Primes in prime number races



Cites Work

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  • Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n


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