Journal of Integer Sequences, Vol. 18 (2015), Article 15.7.6

On a Sequence Involving Prime Numbers

Christian Axler
Departament of Mathematics
40225 Düsseldorf


We study a particular sequence Cn = npn - Σkn pk, nN, involving prime numbers by deriving two asymptotic formulae, and we find a new lower bound for Cn that improves the currently known estimates. Furthermore, for the first time we determine an upper bound for Cn.

Full version:  pdf,    dvi,    ps,    latex    

(Concerned with sequences A000040 A007504 A124478 A152535.)

Received March 19 2015; revised versions received March 23 2015; June 19 2015; July 10 2015; July 13 2015. Published in Journal of Integer Sequences, July 16 2015.

Return to Journal of Integer Sequences home page