All Prime Cubes Are Anti-Sociable Numbers
Received:April 21, 2008  Revised:May 21, 2008
Key Words: prime   power   amicable pair   anti-sociable number.  
Fund Project:the National Natural Science Foundation of China (No.10771186); the Natural Science Foundation of Guangdong Province (No.06029035); the Science Foundation of Maoming University (No.201076).
Author NameAffiliation
LI Wei Xun Department of Mathematics, Maoming University, Guangdong 525000, China 
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Abstract:
      In this paper, by using the basic properties of arithmetic function $\sigma(n)$, the existence of amicable pairs is discussed. We prove that all prime cubes are anti-sociable numbers.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.03.006
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