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Problem 808


Problem 808


Reversible prime squares

Both $169$ and $961$ are the square of a prime. $169$ is the reverse of $961$.

We call a number a reversible prime square if:

  1. It is not a palindrome, and
  2. It is the square of a prime, and
  3. Its reverse is also the square of a prime.

$169$ and $961$ are not palindromes, so both are reversible prime squares.

Find the sum of the first $50$ reversible prime squares.


可反转质数平方

$169$和$961$都是质数的平方,且将$169$的数字反转即可得到$961$。

我们称一个数为可反转质数平方,若其满足以下条件:

  1. 它不是回文数,且
  2. 它是质数的平方,且
  3. 将它的数字反转所得的数也是质数的平方。

$169$和$961$都不是回文数,因此它们都是可反转质数平方。

求前$50$个可反转质数平方的和。