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As long as one of the numbers isn't 2, adding any two prime numbers results in an even number. Why? 1.) Adding any two odd numbers gives an even number, 2.) adding an odd and an even gives an odd, and 3.) all primes are odd, except for 2.

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Lvl 5

True, unless you add said Prime number with 2. Also, 2 is classified as an "even prime"

Lvl 1

this is correct!

Lvl 16

Providing that '2' is NOT used, then

Odd + Odd = Even

Odd + 2 = Odd

Since all prime numbers except '2' are odd, then adding two prime numbers will produce and 'even' answer.

Q: Is it true that if you add 2 prime numbers you always get an even number?

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Not quite.When two prime numbers of 3 and higher are added together, the result is always even, because all such prime numbers are odd numbers, and when two odd numbers are added together, the result is always an even number.However 2 is a prime number, and 2 is also an even number. Adding 2 (an even number) to a different prime number (an odd number) will always yield an odd number.Only if you don't include "2".

Yes, it is. Any whole number times an even number will be even. This is because whole numbers can be represented as the product of their prime factors. Every even number contains 2 as a prime factor (thereby excluding all even numbers above 2 from being prime.) Additionally, the product of any two numbers is equal to the product of their prime factors. This means that the result of multiplying an even number by a whole number will always have a prime factor of 2, making it an even number.

You don't always. 2 + 5 = 7, for example. But all prime numbers other than 2 are odd and two odd numbers always equal an even number when added together.

No, there are no other even prime numbers. And an odd number + or - 3 is always even Ward

And they are the ONLY consecutive prime numbers because if you have one prime number (i.e. 29), then there always is an even number right after the prime number (i.e. 30 comes right after 29), and consecutive means "right next to," right? And we all know that even numbers can always be divided in half, so 2 and 3 are the only consecutive prime numbers.

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Not quite.When two prime numbers of 3 and higher are added together, the result is always even, because all such prime numbers are odd numbers, and when two odd numbers are added together, the result is always an even number.However 2 is a prime number, and 2 is also an even number. Adding 2 (an even number) to a different prime number (an odd number) will always yield an odd number.Only if you don't include "2".

No, they do not. If one of the prime numbers is 2, you will have an odd number.

Two is even and it's a prime number. All other even numbers can never be prime though because they will always be divisible by 2. So in fact, not all prime numbers are odd, but 2 is the only even prime number.

Not quite true . . . the number '2' is a prime number. All the rest of the even numbers cannot be prime because they always can be divided by 2.

Any even number is always divisible by 2 and thus (apart from 2 itself) all even numbers can not be prime numbers.

Prime numbers, except 2, are always odd (they would not be prime if they were even cos they would be divisible by 2.) 1 less than any odd number must be an even number.

Yes, it is. Any whole number times an even number will be even. This is because whole numbers can be represented as the product of their prime factors. Every even number contains 2 as a prime factor (thereby excluding all even numbers above 2 from being prime.) Additionally, the product of any two numbers is equal to the product of their prime factors. This means that the result of multiplying an even number by a whole number will always have a prime factor of 2, making it an even number.

All prime numbers have only 2 factors which are themselves and one. Al prime numbers are odd numbers except for 2 which is the only even prime number.

No, as all prime numbers are odd, excluding 2, and when you add two odd numbers you get an even number. This even number can't be a prime number as it will be divisible by 2. 101 and 31 are both prime, but 101+31 is 132.

You don't always. 2 + 5 = 7, for example. But all prime numbers other than 2 are odd and two odd numbers always equal an even number when added together.

No, as a matter of fact there is no such thing as a prime and even number. Even numbers will always be able to divide by two.

You don't always. 2 + 5 = 7, for example. But all prime numbers other than 2 are odd and two odd numbers always equal an even number when added together.