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These puzzles are also printed in Eight days a week, a booklet published by the Association of Teachers of Mathematics.The Association of Teachers of Mathematics

Goldbach's Conjecture claims that every even number greater than 2 is the sum of two primes. A number is a prime if it only divides by itself or 1. So 2, 3, 5, 7, 11, 13, 17, 19 etc. are primes. Think of an even number and find two primes which add together to make your number. For instance 8 is 3+5 and 22 is 11+11. Can you find one that doesn't work?

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