2 and 3 is the only pair.
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2 and 3 No other pair.
The numbers are 13 and 41. And you do not need to know that they are prime in order to find the answer. The sum (54) and difference (28) provide all the necessary information.
Square numbers can't be prime. They have too many factors.
The prime factorization for 18 is: 2 x 9 2 x 3 x 3, so the two prime numbers that give you 18 are 2 and 3.
Prime numbers have only two factors which are themselves and one such as 23 and 29