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It's been a while since I've implemented an exercise :)
This one will be featured on week 11 of 48in24.
This exercise is deceptively complex, because you are supposed to find prime numbers without the use of the division or modulo operator. It's very easy to solve otherwise, but then it wouldn't be the Sieve of Eratosthenes, so it will require an Elixir Analyzer rule, which I will work on next (EDIT: here).