In this paper,we study the properties of the sequences (2n)2n+1,and give a kind of method of verifying whether these integers are amicable and perfect,and prove that positive integer (2n)2n+1 is not perfect or a part of an amicable pair.The discussion is based on some property of the Fermat number and arithmetic function.%本文研究了一类整数序列(2n)2n+1的某些性质,利用费玛数和数论函数的某些性质,获得了验证此类整数是否是亲和数和完全数的方法,既不与其他正整数构成亲和数对也不是完全数.
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