Proof of the \(P\)-integer conjecture of Pomerance

DOI10.1016/j.jnt.2014.01.014zbMath1300.11092OpenAlexW2029548863WikidataQ123206489 ScholiaQ123206489MaRDI QIDQ401988

Shi-Chun Yang, Alain S. Togbé

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.01.014

zbMATH Keywords

\(P\)-integerChebyshev functionprimes in residue classes

Mathematics Subject Classification ID

Primes in congruence classes (11N13) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Related Items (3)

On generalizations of problems of Recaman and Pomerance ⋮ Updating the error term in the prime number theorem ⋮ On the regularity of primes in arithmetic progressions

Cites Work

• On a problem of Recaman and its generalization
• A note on the least prime in an arithmetic progression
• Approximate formulas for some functions of prime numbers
• Disproof of a conjecture of Jacobsthal
• Conjecture of Pomerance for some even integers and odd primorials
• On a conjecture of Pomerance
• Computation of Jacobsthal’s function $h(n)$ for $n<50$.

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