%0 Journal Article
%T SOME PROPERTIES OF THE SEQUENCE OF PRIME NUMBERS
%A Laurentiu Panaitopol
%A Vlad Copil
%J Applicable Analysis and Discrete Mathematics
%D 2008
%I University of Belgrade and Academic Mind
%R 10.2298/aadm0802217c
%X Let $p_n$ be the $n$-th prime number and $x_n=p_{n+1}^{;n+1}/p_n^{;n}$. We show that the sequence $(x_n)_{ngeN}$ is not monotonic for any integer $N>1$ and that the series $sumlimits_{n=1}^{+infty} 1/x_n$ is divergent. Related series are studied as well.
%K Prime numbers
%K sequences
%K series
%U http://pefmath.etf.bg.ac.yu/vol2num2/AADM-Vol2-No2-217-221.pdf