This week’s problem gives you a chance to become famous (and potentially rich)! German mathematician Christian Goldbach (above) in 1742 proposed the following conjecture:

*“Every even integer greater than 2 can be written as the sum of 2 prime numbers.”*

Over 250 years later no-one has been able to prove it. Anyone who can prove it get $1 million and would enter the mathematical history books! Can you find make a start by finding all the solutions to following?

You can download a pdf of the solution here.

**Teacher notes:**

Level of difficulty: Accessible for all students

Syllabus knowledge required: None.

This would be a good starter to support a lesson on proof

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