SOME PROPERTIES OF THE SERIES OF COMPOSED NUMBERS

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.    denotes the -th composed number, one proves inequalities involving , and shows that the sequences and are neither convex nor concave. Key words: Prime Numbers, Composed Numbers, Asymptotic Behavior, Inequalities, Sums and Series. 2000 Mathematics Subject Classification: 11A25, 11N05.

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