Question 955383


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 + e}}}  =>  is {{{even}}}=> cannot be prime
b) {{{d + e + 1}}}=>  is {{{odd}}}=> that could be prime; in fact I can think of an example: {{{d= 5}}}, {{{e = 7}}}=>{{{5 + 7+ 1=13}}} which is a prime number
c) {{{d + e + 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 + 1}}} => since {{{de}}} is {{{odd}}}=> {{{de + 1}}} is {{{even}}}=> not be prime 


answer:
{{{d + e + 1}}}