On the distribution of Hawkins' random ``primes

DOI10.5802/JTNB.651zbMath1200.11075OpenAlexW2331732427MaRDI QIDQ1026986

Tanguy Rivoal

Publication date: 30 June 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2008__20_3_799_0

zbMATH Keywords

distribution of primesrandom sieveHawkins primes

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Distribution of primes (11N05)

Cites Work

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• The prime number theorem for random sequences
• Random sieves. II
• A generalized Hawkins sieve and prime \(k\)-tuplets
• On twin primes associated with the Hawkins random sieve
• The Random Sieve
• On twin ‘primes’ and gaps between successive ‘primes’ for the Hawkins random sieve
• On Asymptotic Behavior for the Hawkins Random Sieve
• A probabilistic setting for prime number theory
• On the order of magnitude of the difference between consecutive prime numbers
• A log log improvement to the Riemann hypothesis for the Hawkins random sieve

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