半素数

本文介绍了一种用于判断半素数的有效算法,并给出了具体的实现代码。半素数是指可以分解为两个素数相乘的整数,文章通过提供示例输入输出帮助读者理解算法的工作原理。

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 哥德巴赫猜想(任何大于六的偶数都可以写成两个奇质数的和)

题目定义了一种叫半素数的数:只要一个数能被分解成两个素数,那么这个数就是半素数。
Prime Number Definition
An integer greater than one is called a prime number if its only positive divisors (factors) are one and itself. For instance, 2, 11, 67, 89 are prime numbers but 8, 20, 27 are not.

Semi-Prime Number Definition
An integer greater than one is called a semi-prime number if it can be decompounded to TWO prime numbers. For example, 6 is a semi-prime number but 12 is not.

Your task is just to determinate whether a given number is a semi-prime number.

Input

There are several test cases in the input. Each case contains a single integer N (2 <= N <= 1,000,000)

Output

One line with a single integer for each case. If the number is a semi-prime number, then output "Yes", otherwise "No".

Sample Input

3
4
6
12

Sample Output
No
Yes
Yes
No

bool isPrime(long test)
{
	for (int i=0;i<=sqrt((double long)test);i++)
	{
		if(test%i==0)
			return false;
	}
	return true;
}
bool isSemiPrime(long test)
{
	for (int i=2;i<=sqrt((double long)test);i++)
	{
		if (test%i==0)
		{
			int temp=test/i;
			return isPrime(test/i)&&isPrime(temp);
		}
	}
	return false;
}
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