Year 8 Interactive Maths - Second Edition

Problem Solving Unit

Problem 1.1  Goldbach's Conjecture

Goldbach, a Russian mathematician, noticed in 742 that:

From this observation, Goldbach thought that every even number could be expressed as the sum of two prime numbers.

1.  See if you can find two prime numbers that add up to:

2.  A conjecture is something that is considered to be true but has not been proved to be true.  If possible, try to prove (or disprove) Goldbach's conjecture.