Long list

Weekly Problem 47 - 2017
How many numbers do I need in a list to have two squares, two primes and two cubes?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
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Problem



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.