CF1740A.Factorise N+M

普及/提高-

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题目描述

Pak Chanek has a prime number ^\dagger nn . Find a prime number mm such that n+mn + m is not prime.

^\dagger A prime number is a number with exactly 22 factors. The first few prime numbers are 2,3,5,7,11,13,2,3,5,7,11,13,\ldots . In particular, 11 is not a prime number.

输入格式

Each test contains multiple test cases. The first line contains an integer tt ( 1t1041 \leq t \leq 10^4 ) — the number of test cases. The following lines contain the description of each test case.

The only line of each test case contains a prime number nn ( 2n1052 \leq n \leq 10^5 ).

输出格式

For each test case, output a line containing a prime number mm ( 2m1052 \leq m \leq 10^5 ) such that n+mn + m is not prime. It can be proven that under the constraints of the problem, such mm always exists.

If there are multiple solutions, you can output any of them.

输入输出样例

  • 输入#1

    3
    7
    2
    75619

    输出#1

    2
    7
    47837

说明/提示

In the first test case, m=2m = 2 , which is prime, and n+m=7+2=9n + m = 7 + 2 = 9 , which is not prime.

In the second test case, m=7m = 7 , which is prime, and n+m=2+7=9n + m = 2 + 7 = 9 , which is not prime.

In the third test case, m=47837m = 47837 , which is prime, and n+m=75619+47837=123456n + m = 75619 + 47837 = 123456 , which is not prime.

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