Saturday, January 23, 2010

Mathematics Textbook Page 8 #24

A mathematics proposed that “Every even number greater 2 can be expressed as a sum of two prime numbers.” I agree with his proposal. We can view some examples like: 4=2+2, 6=3+3, 8=5+3, 10=5+5, 12=7+5, 14=7+7, 16=13+3(you cannot use 14+2 as the number '14' is a composite number)... ...56=53+3. The reason is because all even numbers after 2 are composite numbers. Composites numbers can easily be created by the addition of prime numbers.

1 comment:

Loh Kwai Yin said...

Ming En

You've provided a good explanation on the fact you could just use 2 prime numbers to give an even number.

In that case, is it also right to say that sum of any 2 prime numbers (other than 2) would sure result an even number?
(i.e. ODD NUMBER + ODD NUMBER will give EVEN NUMBER)

Check out the Goldbach Conjecture to find out more on what the Mathematician claimed :P