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Long List

Age 14 to 16 Short
Challenge Level

Answer: 4 numbers

The 2 squares and 2 cubes cannot be prime

Could the squares also be cubes?
$(2\times2\times2)\times(2\times2\times2) = (2\times2)\times(2\times2)\times(2\times2)$ is a square and a cube, so yes

So you need 2 primes and 2 square-cubes


This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.