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No, 2 + 7 = 9, which isn't prime. In fact, Goldbach's conjecture and the amount of evidence supporting it shows that usually, two primes added together usually form a composite.

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Q: Is the sum of two prime numbers always a prime number?
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Related questions

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 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.


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.


Is the sum of a prime number and a composite number always even?

No, the sum of a prime number and a composite number is not always even.


What is the sum of the 13th and 14th and 15th prime numbers?

sum of the 13th and 14th and 15th prime numbers = 1311st to 12 prime numbers = 2, 3,5,7,11,13,17,19,23,29,31,3713th prime number = 4114th prime number = 4315th prime number = 47=================sum.......................=131


What prime number has the sum of 54?

what prime numbers have the sum of 54


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 2 prime numbers whose sum is not a prime number?

Becouse every prime number (except 2) is odd, the sum of 2 prime numbers will always be even (and 2 is the only even prime). The exceptions are 11 and 2 for example; 11 = prime, 2 = prime and 13=prime.


What 3 prime numbers have the sum of 3?

There are not three prime numbers that have the sum of 3. The smallest prime number is 2. If all three prime numbers were 2, the sum would 2 + 2 + 2 = 6, so that is the smallest number that is the sum of three prime numbers.


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).


What is the sum of all positive prime numbers?

By Euclid, there are an infinite number of prime numbers. The prime sequence is always increasing and > 0, hence by the Divergence Test the sum doesn't converge, so it's infinity


Can the sum of two prime numbers be a prime number?

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