Goldbach’s Conjecture

Christian Goldbach, a Russian mathematician [March 18, 1690 – November 20, 1764], given a popular conjecture in number theory named as Goldbach’s conjecture.

According to this conjecture, every even positive integer greater than 2 can be expressed as the sum of two prime numbers.

As per the definition, every even positive integer n > 2 is the sum of two prime numbers p and q.

Mathematically, n = sum(p, q).

Conditions

Condition 1: Integer n must be even.

Condition 2: Integer n must be greater than 2.

For Example

Integer n: 10

Sum of two prime numbers p and q: 3 + 7 => 10.

Integer n: 44

Sum of two prime numbers p and q: 3 + 41 => 44.

Integer n: 58

Sum of two prime numbers p and q: 5 + 53 => 58.

Integer n: 90

Sum of two prime numbers p and q: 7 + 83 => 90.

Integer n: 100

Sum of two prime numbers p and q: 3 + 97 => 100.

Hope you have understood this amazing concept of Goldbach’s conjecture.