You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.

502 B

This file contains ambiguous Unicode characters!

This file contains ambiguous Unicode characters that may be confused with others in your current locale. If your use case is intentional and legitimate, you can safely ignore this warning. Use the Escape button to highlight these characters.

回文数有两种 一种是单数位数,abcba,一种是双数位数,abccba 而双数位数是质数的只有11,为什么?

中间0的个数必然是偶数个0

证明: 设f(n) = 1000...0001, n为偶数 则有 f(n) - 11 = 999...9990, 9的个数为n个 对于偶数个9必然被11整除

偶回文数的各个数位可以分解为 n * 100...001(两个1中间若干个0)的形式 而这个 100..001 是能被11整除的

因为其余的都是11的倍数