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A twin prime is a prime number that is either 2 less or 2 more than another prime number-for example, the twin prime pair (41, 43).

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They are called twin primes. There are infinitely many of them; the first pair is 3 and 5.

Q: What are prime numbers with the difference of 2?

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Twin primes

2 and 5 the difference is 3 which is a prime number

Any prime numbers greater than 2 will be odd numbers. The difference between two odd numbers will be an even number. So, the difference between two prime (and odd) numbers could be 2, 4, or 6, of the numbers given. The difference could not be 3, 5, or 7.

2 and 5 are one such pair.

2 and 3 are the first two prime numbers. The difference between them is 1

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The prime numbers 2 and 3.

5

7 and 2 are the prime numbers having a difference of 5.

3 and 2 are the only prime numbers with a difference of 1.

All prime numbers are odd numbers, except for the number 2. The difference between two odd numbers must be a multiple of 2. So, if the difference between two prime numbers is another prime number, that difference must be 2.Examples:{3, 5}{5, 7}{11, 13}{29, 31}

Only 1 pair of prime numbers, 2 and 5, have a difference of 3. All prime numbers greater than 2 are odd so will have an even difference.

Twin primes

Not necessarily. 71 is a prime number, 7 is a prime number, and 71-7= 64, which is NOT a prime number. In most cases, the difference of two prime numbers will not be a prime number. All prime numbers greater than 2 will be odd numbers. The difference between two odd numbers will be an even number. Unless that even number is 2, it is not a prime number. Here are some additional examples: 19, 13: difference 6, not prime 23, 7: difference 16, not prime 53, 31: difference 22, not prime 61, 59: difference 2, prime 113, 109: difference 4, not prime 293, 283: difference 10, not prime 331, 101: difference 230, not prime

As the number 2 is the only even prime number then a difference of 1 occurs only between 2 and 3. All other prime numbers are odd and therefore the minimum difference between successive prime numbers is 2.

2 and 5 the difference is 3 which is a prime number

Any prime numbers greater than 2 will be odd numbers. The difference between two odd numbers will be an even number. So, the difference between two prime (and odd) numbers could be 2, 4, or 6, of the numbers given. The difference could not be 3, 5, or 7.

2 and 5 are one such pair.