# What is goldbach conjecture - Definition and Meaning

### Goldbach Conjecture :

Goldbach Conjecture is one of the oldest, unresolved and best known conjecture used in mathematics, particularly in number theory. The conjecture states that, "Every even integer greater than 2 can be expressed as the sum of two primes." This conjecture is shown true for even numbers upto 4 x 10^{18}. The expression of a even number as two primes is referred as Goldbach partition. He has also proposed a second conjecture, in which he states "Every integer greater than 2 can be written as the sum of three primes." Here, he considered 1 as a prime number.

#### Example :

Few examples of Goldbach partition of even numbers are,
8 = 3 + 5
12 = 7 + 5
26 = 13 + 13

Learn what is goldbach conjecture. Also find the definition and meaning for various math words from this math dictionary.