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Q: Can the sum of two odd prime numbers ever be prime?

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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).

The sum of three odd numbers will be odd, whether they are prime or not. The sum of three prime numbers can be even as long as one of them is 2.

Some odd numbers can be written as the sum of prime numbers. 2 + 3 = 5

That isn't possible. The sum of three odd numbers will always be odd. You can make the sum of 3 prime numbers equal to 32 if one of them is 2 (which is not odd).

It is 75.

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.

11,13,19

The prime numbers 3 an 7 are both odd and sum to 10.

13 + 37

No. 2 + 3 = 5

Three prime numbers whose sum is 42 are 23, 17 and 2

The sum of two odd numbers is always even; the sum of three odd numbers is always odd; the sum of four odd numbers is always even; the sum of five odd numbers is always odd; etc

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