On the largest prime factor of shifted primes
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-016-5121-3
Abstract: For any integer n ≥ 2, let P(n) be the largest prime factor of n. In this paper, we prove that the number of primes p ≤ x with P(p−1) ≥ pc is more than… read more here.
Keywords: shifted primes; largest prime; factor shifted; prime factor ... See more keywords
Elliott-Halberstam conjecture and values taken by the largest prime factor of shifted primes
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2019.06.015
Abstract: Abstract Denote by P the set of all primes and by P + ( n ) the largest prime factor of integer n ⩾ 1 with the convention P + ( 1 ) = 1… read more here.
Keywords: prime factor; elliott halberstam; halberstam conjecture; largest prime ... See more keywords