The two prime numbers immediately following 17 are 19 and 23.
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If you meant "what two prime numbers have a sum of 36?" the answer is 19 and 17.
1 and 17 (17 is a prime number).
Since 17 is a prime number - the only two numbers that will divide into it exactly are 1 & 17 !
17 and 17
Numbers with only two factors, the number itself and one, are called prime numbers. Examples of prime numbers are 2 (which is the only even prime number) and 17.