Question

how prove that every even number is a sum of two odd number ?

Answer 1

By contradiction probably.

Answer 2

Wiat, don't have to.

Answer 3

say we have the even number a. since a is even, we can divide a by two. if a/2 is odd, then we have a sum of two odd numbers.

Answer 4

if a/2 is even, then a/2+1 and a/2-1 are odd numbers that sum up to the even number a.

Answer 5

2n =n +n if n i odd
if n is even, n=2p
2(2p) = 4p= 2p-1 + 2p +1

Answer 6

so with this is proven that every even can be expressed a sum of two odds ?

Answer 7

Yes

Answer 8

so if this is like easy to proving,than why not is possibile proving the same the Goldbach's conjecture ?

Answer 9

prime numbers and even numbers are very different.

Answer 10

ok is sure right but than the way,styla,method why not can being the same ?

Answer 11

@KingGeorge once proved that the product of 2 even numbers is always even..can that be used as well?

Answer 12

This is easily done if you know the definition of even numbers.