The twin prime conjecture

Maths

Fill in the gap: The twin prime conjecture states: there are __________ many primes, 𝑝, such that 𝑝 + 2 is also prime.

In what year did Polignac publish his conjecture to build on the twin prime conjecture?

Fill in the gap: de Polignac's conjecture states that for any _________ ________ number, 𝑛, there are infinitely many prime gaps of size 𝑛.

What is the first pair of twin primes greater than one million?

The four colour map theorem was finally solved in which decade?

All the countries that share a border must be coloured the same.

All the countries that share a border must be the same size.

Any countries that share a border must be coloured in a different colour.

Any countries that share a border must be different sizes.

Which of the below is a requirement of the four colour map theorem?

Fill the gap: We can think about maps in terms of _______.