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4 answers

The simple explanation is that all prime numbers > 2 are odd. Adding 2 odd numbers will always get you an even number which is always conposite because it will be divisible by 2

2007-07-19 07:15:13 · answer #1 · answered by kousuke51 2 · 2 0

Since p and q are primes > 2. Both of these must be odd numbers so their sum (p + q) will be an even number divisible by 2 i.e. it is composite.

2007-07-19 14:19:17 · answer #2 · answered by quidwai 4 · 2 0

Any prime > 2, being odd, can be represented as (2n + 1).
Let n1 = (2n + 1) and n2 = (2m + 1).
then
n1 + n2 = 2m + 2n + 2 = 2(m + n + 1),
which, of course, is divisible by 2

2007-07-19 14:59:21 · answer #3 · answered by Helmut 7 · 0 0

All primes over 2 are odd. An odd+ an odd is always even.

2007-07-19 14:15:37 · answer #4 · answered by LabGrrl 7 · 2 0

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