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:
- It is not a palindrome, and
- It is the square of a prime, and
- 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:
- 它不是回文数,且
- 它是质数的平方,且
- 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。