A prime number and a combination are 6, and the product is 8. What are the two numbers

A prime number and a combination are 6, and the product is 8. What are the two numbers


The sum of a prime number and a composite number is 6, and the product is 8?
First, factoring 8 into 8 = 1 × 2 × 2 × 2
Because one of them is a composite number and the other is a prime number,
So the total number can only be 2 × 2 = 4
Prime = 2 × 1
2 + 4 = 6
So the prime number is 2 and the total number is 4
A: the prime number is 2 and the total number is 4
I hope my answer can help you,



Find all prime numbers P so that P + 10 and P + 14 are prime numbers


When p = 3k, only 3 is prime; when p = 3K + 1, P + 14 = 3K + 15 = 3 (K + 5), not prime; when p = 3K + 2, P + 10 = 3K + 12 = 3 (K + 4), not prime; therefore, only 3 satisfies the meaning of the problem



Find all prime numbers P so that P + 2, P + 6, P + 8, P + 14 are prime numbers


Let P = 5K + 1,5k + 2,5k + 3,5k + 4,5k (k > = 1)
When p = 5K + 1,5k + 2,5k + 3,5k + 4
One of P + 2, P + 6, P + 8, P + 14 must be a multiple of 5 and not equal to 5
So only p = 5K
And because P is prime
So p = 5