Let’s start our list with an extremely famous and easy-to-understand problem. First, take all the even natural numbers greater than 2 (e. g. 4, 6, 8, 10, 12…). Next, take each even number and try to rewrite it as the sum of 2 prime numbers. For our first 5 elements of our list, we get: 4 = 2+2

6 = 3+3

8 = 3+5

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10 = 3+7 = 5+5

12 = 7+5

…

100 = 3+97 = 11+89

The question is, can you keep doing this forever? That is, can you write every possible even natural number as the sum of two primes? The Goldbach conjecture answers this question in the affirmative.