SOLUTION: If d and e are prime numbers greater than 3, which of the following could also be a prime number? Options: d + e d + e + 1 d + e + 2 de de + 1

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Question 955383: If d and e are prime numbers greater than 3, which of the following could also be a prime number?
Options:
d + e
d + e + 1
d + e + 2
de
de + 1

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

First thing, if d and e are prime numbers greater than 3, then they're odd. Use properties of even and odd numbers and primes to think it through.
a) d+%2B+e => is even=> cannot be prime
b) d+%2B+e+%2B+1=> is odd=> that could be prime; in fact I can think of an example: d=+5, e+=+7=>5+%2B+7%2B+1=13 which is a prime number
c) d+%2B+e+%2B+2 is even
d) de is a product of two prime numbers,so it cannot be prime by the definition of a prime number
e) de+%2B+1 => since de is odd=> de+%2B+1 is even=> not be prime

answer:
d+%2B+e+%2B+1