You will be given a positive integer **N**. Your task is to find the smallest number greater than or equal to **N** that is a prime and a palindrome.

**Input: **

The first line of input contains a single integer **T** denoting the number of test cases.

Then **T** test cases follow. The first and only line of each test case consists of **N**.

**Output:**

Corresponding to each test case, in a new line, print the smallest number greater than or equal to **N** that is a prime and a palindrome.

**Constraints:**

1 ≤ **T** ≤ 100

1 ≤ **N** ≤ 10^{7}

**Example:**

**Input**

3

188

4

872

**Output**

191

5

919

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