| All Mersenne Numbers Are Anti-Sociable Numbers |
| Received:September 03, 2006 Revised:January 19, 2007 |
| Key Words:
Mersenne number amicable pair anti-sociable number.
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| Fund Project:the National Natural Science Foundation of China (10271104); the Natural Science Foundation of Guangdong Province (04011425); the Science Foundation of Maoming University (201076). |
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| Abstract: |
| Let $p$ be a prime, and let $M_{p}=2^{p}-1$. This paper proves that $M_{p}$ is an anti-sociable number. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.04.006 |
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