what are 4 prime numbers that add up to make an even number?

all prime numbers, except the number 2, are odd numbers.

The sum of any two odd numbers is always even.
So the sum of any 4 prime numbers, with the exception of that lonely 2, will always be even.

e.g. 3+5+7+11 = 26 which is even.

To find four prime numbers that add up to make an even number, we need to consider the properties of prime numbers and even numbers.

1. The only even number that is also a prime number is 2. However, if we use 2, we will only be able to find three prime numbers.

2. Prime numbers other than 2 are always odd.

Given these properties, it is not possible to find four prime numbers that add up to make an even number.

To find four prime numbers that add up to make an even number, we need to understand a few concepts:

1. Prime numbers: Prime numbers are integers greater than 1 that are only divisible by 1 and themselves.

2. Even numbers: Even numbers are integers that are divisible by 2 with no remainder.

Now, let's find four prime numbers that add up to make an even number:

1. The only even prime number is 2. Since we need four prime numbers, we can start with 2.

2. Next, we need to find three more prime numbers that add up to an even number. Since even numbers have a difference of 2, we can search for three odd prime numbers.

3. We can start with the third prime number, 3, as it is the smallest odd prime number. Now, we need to find two more odd prime numbers that add up to an even number.

4. The next prime number after 3 is 5. However, 3 + 5 = 8, which is not even. Thus, 5 cannot be part of the solution.

5. The next prime number after 5 is 7. Now, let's check if 3 + 7 makes an even number: 3 + 7 = 10, which is even.

Therefore, the four prime numbers that add up to make an even number are 2 + 3 + 7 = 12.

To summarize, the four prime numbers are 2, 3, 7, and 12. By understanding the properties of prime and even numbers, and systematically checking different prime numbers, we were able to find the solution.