On shifted primes with large prime factors and their products

We estimate from below the lower density of the set of prime numbers p such that p - 1 has a prime factor of size at least [p.sup.c], where 1/4 [less than or equal to] c [less than or equal to] 1/2. We also establish upper and lower bounds on the counting function of the set of positive integers n [...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Bulletin of the Belgian Mathematical Society, Simon Stevin Simon Stevin, 2015-03, Vol.22 (1), p.39-47
Hauptverfasser:	Luca, Florian, Menares, Ricardo, Pizarro-Madariaga, Amalia
Format:	Artikel
Sprache:	eng
Schlagworte:	11N36 11N37 Functions (Mathematics) Mathematical research Prime numbers Shifted primes
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!