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) About Me  (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(52781) About Me  (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).