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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).

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Q: Can the sum of two prime numbers be a prime number without the two?
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Related questions

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.


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 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.


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.


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.


Even numbers with the sum of two prime numbers?

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


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yes. The only divisors of a prime number are itself and 1. Without counting the prime number, the sum of it's divisors is always 1.


What is the sum of the first four prime number?

The sum of the first four prime numbers is 17.


What is the only prime number that is the sum of four consecutive prime numbers?

17 is the only prime number that is the sum of four consecutive prime numbers. 2 + 3 + 5 + 7 = 17


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.