Sieve of Eratosthenes

sieve.py

# O(n log(log n))

arr = list(range(0, 300))


def sieve(ar):
    for i in ar:
        if i > 1:
            step = arr[i]
            while (arr[i] + step) < len(arr):
                step = arr[i] + step
                arr[step] = 0
    return ar


arr_with_zero = [i for i in sieve(arr) if i != 0]
print(arr_with_zero)
#1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163
#, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293