%0 Journal Article
%T New upper bounds for Ramanujan primes
%A Ares-Gastesi
%A Pablo
%A Srinivasan
%A Anitha
%J -
%D 2018
%R 10.3336/gm.53.1.01
%X Sa£¿etak For n¡Ý 1, the nth Ramanujan prime is defined as the smallest positive integer Rn such that for all x¡Ý Rn, the interval (x/2, x] has at least n primes. We show that for every ¦Å>0, there is a positive integer N such that if ¦Á=2n(1+(log 2+¦Å)/(log n+j(n))), then Rn< p[¦Á] for all n>N, where pi is the ith prime and j(n)>0 is any function that satisfies j(n)¡ú ¡Þ and nj'(n)¡ú 0
%K Ramanujan primes
%K upper bounds
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=297039