Python- Sieve of Eratosthenes- Compact Python

Question

This is my code for finding primes using the Sieve of Eratosthenes.

list = [i for i in range(2, int(raw_input(\"Compute primes up to what number? \"))+1)]  
         


        

Answer 1

def sieve(n):
    sieve_list = range(n)
    zero_list = [0] * n
    for i in range(2, int(n**.5) + 1):
        if sieve_list[i]:
            sieve_list[2*i:n:i] = zero_list[2*i:n:i]
    return filter(None, sieve_list)[1:]