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2 and 5 are one such pair.
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.
Twin primes
2 and 3 are the first two prime numbers. The difference between them is 1
One. 997 and 2