CONSEQUENCES OF A THEOREM OF ERDÖS-PRACHAR

LAURENTIU PANAITOPOL

FACULTY OF MATHEMATICS, 
UNIVERSITY OF BUCHAREST, 
14 ACADEMIEI ST., RO-70109 BUCHAREST, 
ROMANIA
E-Mail: pan@al.math.unibuc.ro

Received 27 March, 2001; accepted 11 June, 2001.
Communicated by: L. Toth

ABSTRACT.    We study the asymptotic behavior of the sums and , and of the series , where denotes the -th prime number while stands for the -th composed number. Key words: Sequences, Series, Prime Numbers, the Sequence of Composed Numbers, Asymptotic Formula 2000 Mathematics Subject Classification: 11A25, 11N05.

Suitable for a printer:    

Suitable for a monitor:        

That is, click on the icon using the 2nd mouse button and select "Save Target As..." (Microsoft Internet Explorer) or "Save Link As..." (Netscape Navigator).

See our PDF pages for more information.

Other papers in this issue

Generalized Auxiliary Problem Principle and Solvability of a Class of Nonlinear Variational Inequalities Involving Cocoercive and Co-Lipschitzian Mappings
Ram U. Verma

On Some Generalizations of Steffensen's Inequality and Related Results
P. Cerone

A Weighted Analytic Center for Linear Matrix Inequalities
I. Pressman and S. Jibrin

Good Lower and Upper Bounds on Binomial Coefficients
Pantelimon Stanica 

Improvement of an Ostrowski Type Inequality for Monotonic Mappings and its Application for Some Special Means
S.S. Dragomir and M.L. Fang

On the Utility of the Telyakovskii's Class S
Laszlo Leindler 

L'Hospital Type Rules for Oscillation, with Applications
Iosif Pinelis

Matrix and Operator Inequalities
Fozi M. Dannan

Consequences of a Theorem of Erdös-Prachar
Laurentiu Panaitopol 

On a Reverse of Jessen's Inequality for Isotonic Linear Functionals
S.S. Dragomir 

L^p-Improving Properties for Measures on R⁴ Supported on Homogeneous Surfaces in Some Non Elliptic Cases
E. Ferreyra, T. Godoy and M. Urciuolo 

Some Properties of the Series of Composed Numbers
Laurentiu Panaitopol

Other issues

• Volume 1, Issue 1, 2000

• Volume 1, Issue 2, 2000

• Volume 2, Issue 1, 2001

• Volume 2, Issue 2, 2001

• Volume 2, Issue 3, 2001

• Volume 3, Issue 1, 2002

• Volume 3, Issue 2, 2002

• Volume 3, Issue 3, 2002

• Volume 3, Issue 4, 2002

• Volume 3, Issue 5, 2002

• Volume 4, Issue 1, 2003

• Volume 4, Issue 2, 2003

• Volume 4, Issue 3, 2003

• Volume 4, Issue 4, 2003

• Volume 4, Issue 5, 2003