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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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13y ago
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Yuanhao Bu

Lvl 5
3y ago

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

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Agustina Macejkovic

Lvl 1
3y ago
this is correct!

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lenpollock

Lvl 16
2y ago

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.

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Q: Is it true that if you add 2 prime numbers you always get an even number?
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Is it true that the sum of two prime numbers is always an even number?

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".


Is even number times even number always even?

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.


When you add two prime numbers together why do you get 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.


Can prime numbers other than 2 and 5 ever be 3 apart?

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


Why are 2 and 3 the only consecutive prime numbers?

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.

Related questions

Is it true that the sum of two prime numbers is always an even number?

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".


Does two prime numbers always add up to an even number?

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


Can a even number be a prime number even though all the prime numbers are odd?

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.


Could prime numbers can never be even numbers?

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.


Is 550 a composite or prime number?

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


Why are square numbers one less than a prime number always even?

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.


Is even number times even number always even?

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.


Will a prime number always have an odd numbers of factors?

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.


If you add or subtract using only prime numbers is the answer always a 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.


When you add two prime numbers why do you get 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.


Is 8 both prime and even?

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.


When you add two prime numbers together why do you get 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.