With the exception of '2' & '3' , the answer is NO!!!!
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In every math problem you can ever do you can use prime numbers. 1+3 Both prime numbers. Most numbers are not prime but prime numbers only become a broblem when you try to factor them like in simple algebra.
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).
If p is a prime number other than 2, then p must be odd (otherwise it would be divisible by 2). It follows that p+3 must then be even and so cannot be prime.
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No. For two integers to have a difference of 3, one must be odd and one must be even. The only even prime number is 2. That means the only pairs of prime numbers that have a difference of 3 must be 2 and another number. The only numbers that could have a difference of 3 are -1 and 5. Since -1 is not a prime number, that is not a pair that meets this description. Since 5 is a prime number, the pair of 2 and 5 is the only possible pair of prime numbers that can have a difference of 3.