SOLUTION: The difference between 2 prime numbers cannot be A)1 B)2 C) 3 D)7

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Question 1145108: The difference between 2 prime numbers cannot be
A)1
B)2
C) 3
D)7
Found 2 solutions by richwmiller, ikleyn:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
The first ten prime numbers are
2, 3, 5, 7, 11, 13, 17, 19, 23 and 29
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.

The difference can be 1  (for the primes 2 and 3).


The difference can be 2  (for the primes 3 and 5).


The difference can be 3  (for the primes 2 and 5).


The difference can not be 7.


    (if both primes are greater than 2, then they both are odd -- hence, the difference must be an EVEN number.

     If one prime is 2, then the other positive integer with the difference of 7 must be 2+7 = 9, but 9 is not a prime number).


ANSWER.  Option D).


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