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It is not.
Of the infinitely many primes only one (the number 2) is even, the rest are all odd. The sum of any two primes other than 2 is even and therefore not a prime. If one of the primes in the sum is 2 then the sum is a prime only if the other is the lower of a pair of twin primes.
So, while it is possible, it is certainly more likely that the sum is a composite.
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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.
Can the sum of 2 odd prime numbers ever be prime?
No. The sum of two odd numbers is always even, and no prime is even (apart from 2, but it is the lowest prime, so no primes can be added to form it).
Which three prime numbers have the sum 59?
which three prime numbers have a sum of 59
What numbers as a sum of two prime numbers 95?
You can't write that as the sum of two prime numbers. Note: Goldbach's Conjecture (for expressing numbers as the sum of two prime numbers) applies to EVEN numbers.
What is the sum of the first 15 prime numbers?
the sum of the first 15 prime numbers is 328 .
