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O(N) >>> primes $ buildLinearSieve 32 [2,3,5,7,11,13,17,19,23,29,31]

>>> ls = buildLinearSieve 100
>>> primeFactors ls 60
[2,2,3,5]
>>> primeFactors ls 0
[]
>>> primeFactors ls 1
[]
>>> primeFactors ls 2
[2]
>>> primeFactors ls 4
[2,2]

>>> ls = buildLinearSieve 100
>>> isPrime ls 97
True
>>> isPrime ls 100
False
>>> isPrime ls 0
False
>>> isPrime ls 1
False
>>> isPrime ls 2
True

>>> primeCountUpperBound 100
32
>>> primeCountUpperBound (10 ^ 6)
100000