数学真题一道Prime numbers k and n are each greater than 2,and they

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数学真题一道
Prime numbers k and n are each greater than 2,and they differ by 4.If there is no prime number between k and n,what is the least possible value of k+n?

题目是说k, n都是比2大的质数而且相差4, 如果k,n之间没有质数,问你k+n的最小值是多少
假设k比n大, 你可以就一个一个想过去
譬如n = 3, k = 7 但是之间有5是质数,
下一个n可能的质数是5, k = 9,但是9不是质数,所以也不可能
用这么思路的话可以发现最小的n是7, k =11 而且8, 9, 10没有一个是质数
所以最小的k+n = 18

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