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If you add a prime number and a prime number will the sum always be prime?
Wiki User
∙ 14y ago
If you add two prime numbers that are odd numbers, the sum will be an even number. Because even numbers are divisible by 2, no even number greater than 2 is a Prime number. Here are some examples:
3 + 3 = 6 which is an even number and thus not a prime number
5 + 7 = 12 which is an even number and thus not a prime number
11 + 13 = 24 which is an even number and thus not a prime number
19 + 41 = 60 which is an even number and thus not a prime number
If you add a prime number that is odd to the only even prime number (2), you will have an odd number. This odd number might be prime or might be composite. Here are some examples:
2 + 3 = 5 which is a prime number
2 + 7 = 9 which is a composite number
2 + 23 = 25 which is a composite number
2 + 41 = 43 which is a prime number
Question what is zero = composite
0 x 1 = 0
0 x 4 = 0
0 x 16 = 0
0 x 64 = 0
Wiki User
∙ 14y ago
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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.
Are prime numbers closed under addition?
no, not all prime numbers are closed under addition. why? because, when you add 2 prime numbers you will not always get a prime number. example: 5+3= 8 5 and 3 are prime numbers but their sum is 8 which is a composite number..
How do you find the sum of the distinct prime factor of a number?
Find the prime factorization. Identify the distinct prime factors. Add them up.
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.
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.
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 sum prime or composite?
Composite.
If you add a prime number to itself is the sum composite or prime?
Composite.
Is the sum of prime number and a composite number always even?
No.
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.
How do you find sum of prime divisors of a number?
Add them together.
What is the next year in which all its digits add up to a prime number?
2014 ( The sum of the digits = 7, a prime number )
Can an even number greater than 4 be written as the sum of 2 prime numbers if you use 2 as one of the primes?
No. 2 is the only even prime number, and if you add an even number and an odd number, the result will always be odd.
To what prime number can you add 3 and get a sum that is a prime number?
2. 2 + 3 = 5 Or if you mean like add 3 to the prime number, then add that to the prime? 2 still works!! 2: 2 + 3 = 5. 5 + 2 = 7
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).
Are prime numbers closed under addition?
no, not all prime numbers are closed under addition. why? because, when you add 2 prime numbers you will not always get a prime number. example: 5+3= 8 5 and 3 are prime numbers but their sum is 8 which is a composite number..
