In this paper,by using the basic properties of arithmetic functionσ(n),the existence of amicable pairs is discussed.We prove that all prime cubes are anti-sociable numbers.
基金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）.
文摘In this paper,by using the basic properties of arithmetic functionσ(n),the existence of amicable pairs is discussed.We prove that all prime cubes are anti-sociable numbers.
