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Yes, but since 2 is the only even Prime number and the sum of two odd numbers is always even, one of the two prime numbers being added will always be a 2. So, for example:

3 + 2 = 5 11 + 2 = 13 71 + 2 = 73

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Q: Can the sum of two prime numbers be a prime number?
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Related questions

When adding 2 prime number will the answer be prime?

The sum of any two prime numbers may or may not be prime. The sum of the two prime numbers 2 and 3 is the prime number 5, and the sum of the two prime numbers 5 and 7 is the composite number 12.


What are the numbers as sum of 2 prime numbers?

The sum of two prime numbers greater than 2 is an even number. The sum of 2 and any other prime number is an odd number.


Is the sum of any two prime numbers always a composite number?

The sum of any two prime numbers is not always a composite number. The sum of 2 and 11 is 13, and 13 is a prime number, not a composite number.


What is the largest prime number that can be written as the sum of two prime numbers and the difference of two prime numbers?

5


What is the highest prime number which is the sum of two prime numbers and the result from the subtraction of two prime numbers?

5


If you add a prime number to itself is the the sum composite or prime?

The sum of two prime numbers will be composite unless one of the prime numbers is 2.


In how many ways can 47 be written as the sum of two prime numbers?

It cannot be. If 47 is the sum of two prime numbers, one must be an even number and one must be an odd number, because that is the only way to have a sum that is an odd number, such as 47. The only even prime number is 2. The number that with 2 will have a sum of 47 is 45. However, 45 is not a prime number. Therefore, there are not two prime numbers that have a sum of 47.


What two prime numbers have a sum of 54 and 84?

If two prime number have a sum of 54 they cannot have a sum of 84, and conversely.


What is the greatest prime number that can be representedas both the sum of two prime numbers and as the difference of two prime numbers?

5


Does the sum of two prime numbers equal a prime number?

If one of the two numbers is 2, the sum of two prime numbers may sometimes be a prime number. Examples of this are 2 + 11 = 13, 2 + 521 = 523, 2 + 281 = 283. There are an infinite number of similar examples where the sum of 2 plus a prime is another prime. However if neither number is 2, then the sum of two prime numbers is always an even number greater than 2 and therefore composite.


Can the sum of two prime numbers be a prime number without the two?

Without using the number two, it is not possible to sum two prime numbers at get a prime number as a result. This is because all prime numbers (except for 2) are odd, and the sum of two odd numbers is always even. The only even prime number is 2. The only way to add two non-zero positive numbers to get 2 is 1+1, and 1 is not a prime number (since it only has one factor).


Even numbers with the sum of two prime numbers?

The sum of any pair of prime numbers greater than 2 is an even number.