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I want to write a list of integers containing two square numbers, two prime numbers and two cube numbers. What is the smallest number of integers that could be in my list?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Long List
Age 14 to 16
ShortChallenge Level 
I want to write a list of integers containing two square numbers, two prime numbers and two cube numbers. What is the smallest number of integers that could be in my list?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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