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Goldbach conjecturte is one of the best known unsolved mathematical problem in number theory.

Modern version of Goldbach **marginal conjecture** is defined as

Every integer greater than five is the sum of three prime numbers. Examples are,

5 = 3 + 1 + 1

6 = 3 + 2 + 1

7 = 5 + 1 + 1

8 = 5 + 2 + 1

Goldbach **original conjecture** is defined as

Every even integer greater than two is sum of two prime numbers. So all even integers greater than two are considered to be **Goldbach numbers**.

The expression of even number as sum of two prime numbers is called as **Goldbach partition. **

Few examples of Goldbach partition of **original conjecture **are

4 = 2 + 2

6 = 3 + 3

8 = 5 + 3

10 = 5 + 5...

All odd numbers greater than 7 are the sum of three odd primes, this conjecture is called to be the **weak or odd or ternary** Goldbach conjecture.

This conjecture was written by German mathematician **Christian Goldbach** to the Leonard Euler in 1742. The weak conjecture was proved to be true in 2013. While the strong conjecture has been shown to hold up through **4 - 1018** ,but it is not yet resolved. If the strong conjecture proved to be true than the weak conjecture will also be true based on the conclusion.

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Daily Maths Topic Today - goldbachs conjecture.