On values taken by the largest prime factor of shifted primes

DOI10.1017/S1446788700017511zbMath1139.11038MaRDI QIDQ3435408

William D. Banks, Igor E. Shparlinski

Publication date: 26 April 2007

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.austms.org.au/Publ/JAustMS/V82P1/contents.html

zbMATH Keywords

shifted primeslargest prime divisor

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (11)

ON SHIFTED PRIMES AND BALANCED PRIMES ⋮ Three conjectures on \(P^+(n)\) and \(P^+(n+1)\) hold under the Elliott-Halberstam conjecture for friable integers ⋮ Prime chains and Pratt trees ⋮ On a conjecture on shifted primes with large prime factors ⋮ On values taken by the largest prime factor of shifted primes (II) ⋮ On the smooth values of shifted almost-primes ⋮ On the largest prime factor of shifted primes ⋮ The Lucas-Pratt primality tree ⋮ On shifted primes with large prime factors and their products ⋮ ON VALUES TAKEN BY THE LARGEST PRIME FACTOR OF SHIFTED PRIMES ⋮ Elliott-Halberstam conjecture and values taken by the largest prime factor of shifted primes

Cites Work

• Unnamed Item
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• Pseudorandom properties of prime factors
• Théorème de Brun-Titchmarsh; application au théorème de Fermat
• On a problem of Oppenheim concerning Factorisatio Numerorum
• On the fractional part of \(p^\alpha\)
• On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
• Integers without large prime factors
• There are infinitely many Carmichael numbers
• Distributional properties of the largest prime factor
• Every Prime Has a Succinct Certificate
• Polynomial values free of large prime factors

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