# Goldbach's conjecture

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I wanted to code the Goldbach triangle myself in Mathematica. A row in this triangle represents an integer, and every cell in the row represents a way to write it as a sum of two smaller integers. The red diagonals correspond to the prime numbers. Goldbach’s conjecture, which states that every even integer can be represented as a sum of two primes, translates into the statement that every second row in the triangle contains at least one marked cell.

Conjetura de Goldbach - Todos os números pares não primos, podem ser escritos como a soma de dois primos.

math-conjectures.jpg Goldbach's Conjecture Math Project by Byrdseed

*2*

Graph of the number of ways to write an even number n as the sum of two primes (4 ≤ n ≤ 1,000,000). This is the main object of study of the Goldbach's conjecture, proposed 1742 but still unproven.