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          |  | Volume 2, Issue 3, Article 35 |  |   
          |  |  |  |  |  |  | Consequences of a Theorem of Erdös-Prachar
 
 
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          |  |  | Authors: | Laurentiu Panaitopol, |  |   
          |  |  | Keywords: | Sequences, Series, Prime Numbers, the Sequence of Composed Numbers, Asymptotic Formula |  |   
          |  |  | Date Received: | 27/03/01 |  |   
          |  |  | Date Accepted: | 11/06/01 |  |   
          |  |  | Subject Codes: | 11A25,11N05 |  |   
          |  |  | Editors: | László Tóth, |  |   
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          |  |  | 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. |   
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