7405：Prime Number

A natural number (i.e. 1, 2, 3, 4, 5, 6, etc.) is called a prime number (or a prime) if it has exactly two positive divisors, 1 and the number itself. Natural numbers greater than 1 that are not prime are called composite.
For example, among the numbers 1 through 6, the numbers 2, 3, and 5 are the prime numbers, while 1, 4, and 6 are not prime. 
Give you a number, you need to calculate whether it is a prime number. If it meets the condition , output ‘YES’ and the following six prime number including the one which is larger. Otherwise, Output ‘NO’ and the following six number which is larger.

The input starts with one line containing one integer T, which is the number of test cases. T test cases follow. Each case consists of one line with one integer N, which is the exact one you need to calculate.

For each test case, output in one line.
If it is a primer number, Output ‘YES’ and the following six primer number including the one which is larger. Otherwise, Output ‘NO’ and the following six number which is larger.

1 ≤ T ≤ 10000 2 ≤ N ≤ 100000