The twin prime conjecture
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Key learning points
- In this lesson, we will learn about a famous unsolved maths problem called the twin prime conjecture.
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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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3 Questions
Q1.
The four colour map theorem was finally solved in which decade?
1950s
1960s
1980s
Q2.
Which of the below is a requirement of the four colour map theorem?
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 different sizes.
Q3.
Fill the gap: We can think about maps in terms of _______.
circles
numbers
squares
5 Questions
Q1.
Fill in the gap: The twin prime conjecture states: there are __________ many primes, 𝑝, such that 𝑝 + 2 is also prime.
less than
so
zero
Q2.
In what year did Polignac publish his conjecture to build on the twin prime conjecture?
1749
1949
2049
Q3.
What is de Polignac's first name?
Albert
Christian
Leonard
Q4.
Fill in the gap: de Polignac's conjecture states that for any _________ ________ number, 𝑛, there are infinitely many prime gaps of size 𝑛.
negative even
negative odd
positive odd
Q5.
What is the first pair of twin primes greater than one million?
1,000,0015 and 1,000,017
1,000,012 and 1,000,014
1,000,027 and 1,000,029