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反素数

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反素数,英文称作emirp(prime(素数)的左右颠倒拼写),是素数的一种。把一个素数的阿拉伯字数字序列(十进制)变成由低位向高位反写出来,得到的另一个数还是素数。 [1]例如素数13,反写就是31,它是另一个素数,所以13是一个反素数。这个定义排除了相关的回文素数,因为回文素数反写不是另一个数而是它本身。

最小的几个反素数为:13, 17, 31, 37, 71, 73, 79, 97, 107, 113, 149, 157, 167, 179, 199, ... (OEIS数列A006567).[1]

所有非纯位数可交换素数都是反素数。

到2007年12月为止,已知最大的反素数为1010006+941992101×104999+1,由Jens Kruse Andersen在2007年10月发现。[2]

参考文献

  1. ^ 1.0 1.1 Weisstein, Eric W. (编). Emirp. at MathWorld--A Wolfram Web Resource. Wolfram Research, Inc. (英语). 
  2. ^ Rivera, Carlos. "Problems & Puzzles: Puzzle 20.- Reversible Primes页面存档备份,存于互联网档案馆)". 于2007年12月17日访问。
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反素数
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