Chapter 1.1, Problem 5MC

Mathematical Connections 1-2

A mathematician named Christian Goldbach $\left(1690-1764\right)$ made a conjecture that has not been proven. Millions of examples have been found that support his conjecture, but no counterexample has ever been found. Until a counterexample is found or someone presents a logical proof, this will remain a conjecture.

Goldbach’s conjecture: Every even number greater than $2$ can be written as a sum of two prime numbers.

Test Goldbach’s Conjecture for various even numbers, for example, $4=2+2$ and $10=7+3$.