| All Prime Cubes Are Anti-Sociable Numbers |
| Received:April 21, 2008 Revised:May 21, 2008 |
| Key Words:
prime power amicable pair anti-sociable number.
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| 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). |
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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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