- Every even integer greater than 2 can be expressed as the sum of two primes.

The number of ways an even number can be represented as the sum of two primes

Goldbach’s conjecture can be written in logic notation as:

A **Goldbach number** is a number that can be expressed as the sum of two odd primes. Therefore, another statement of Goldbach’s conjecture is that all even integers greater than 4 are Goldbach numbers.

The expression of a given even number as a sum of two primes is called a **Goldbach partition** of the number. For example:

- 4 = 2+2
- 6 = 3+3
- 8 = 3+5
- 10 = 3+7 or 5+5
- …
- 100 = 3+97 or 11+89 or 17+83 or 29+71 or 41+59 or 47+53