#P1217. [USACO1.5] Prime Palindromes

[USACO1.5] Prime Palindromes

题目描述

The number 151151 is a prime palindrome because it is both a prime number and a palindrome. It is the same number when read forward as backward. Write a program that finds all prime palindromes in the range of two supplied numbers aa and bb (5a<b1000000005 \le a < b \le 100000000). Both aa and bb are considered to be within the range.

输入格式

  • Line 1: Two integers, aa and bb.

输出格式

The list of palindromic primes in numerical order, one per line.

5 500

5
7
11
101
131
151
181
191
313
353
373
383

提示

HINTS (use them carefully!)

:::info[Hint 1] Generate the palindromes and see if they are prime. :::

:::info[Hint 2] Generate palindromes by combining digits properly. You might need more than one of the loops like below.

/* generate five digit palindrome: */
for (d1 = 1; d1 <= 9; d1+=2) {	/* only odd; evens aren't so prime */
    for (d2 = 0; d2 <= 9; d2++) {
        for (d3 = 0; d3 <= 9; d3++) {
            palindrome = 10000*d1 + 1000*d2 + 100*d3 + 10*d2 + d1;
            /* ... deal with palindrome ... */
        }
    }
}

:::

USACO Training Section 1.5