Let the function p(n) represent the product of the first n prime numbers, where n > 0. If x = p(n) + 1, which of the following must be true?
(i) x is always odd
(ii) x is always prime
(iii) x is never the square of an integer	Choose the correct answer.
A) ii only B) iii only C) i and ii only D) i and iii only E) ii and iii only
If n=2 then 2X3+1=7   if n=3 then 2*3*5= 
<gadget id="calculator">2*3*5</gadget>
<output>30</output>
30+1= 
<gadget id="calculator">30+1</gadget>
<output>31</output>
31 the answer will always be odd b/c 2 is a prime and the product will always be an even plus 1   If you try n=4 then you get   2*3*5*7= 
<gadget id="calculator">  2*3*5*7</gadget>
<output>210</output>
210 which is not a prime   ANSWER:i and iii only
<result>D</result>
Let the function p(n) represent the product of the first n prime numbers, where n > 0. If x = p(n) + 1, which of the following must be true?
(i) x is always odd
(ii) x is always prime
(iii) x is never the square of an integer