6 + 47 = 53
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It would always be a natural number.
11# - 1 = 2309 and 11# + 1 = 2311, both of which are prime.
p7# - 1 = 510509 and p7# + 1 = 510511, neither of which is prime.
If one of the two numbers is 2, the sum of two prime numbers may sometimes be a prime number. Examples of this are 2 + 11 = 13, 2 + 521 = 523, 2 + 281 = 283. There are an infinite number of similar examples where the sum of 2 plus a prime is another prime. However if neither number is 2, then the sum of two prime numbers is always an even number greater than 2 and therefore composite.
But 5+5 = 10 and 5 is a prime number