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print("helloWorld")
# Python program to print all Primes Smaller
# than or equal to N using Sieve of Eratosthenes
'''Python program to print all Primes Smaller than or equal to N using Sieve of Eratosthenes'''
import time
import math
def SieveOfEratosthenes(num):
prime = [True for i in range(num+1)]
# boolean array
def sieve_of_eratosthenes(num: int) -> list[int]:
"""Finds all prime number from 1 to num.
Args:
num (int): Number up to which the prime numbers should be printed
Returns:
list[int]: List of prime numbers
"""
# boolean list
prime = [True] * (num+1)
p = 2
while (p * p <= num):
while p <= math.sqrt(num):
# If prime[p] is not
# changed, then it is a prime
if (prime[p] == True):
# Updating all multiples of p
for i in range(p * p, num+1, p):
prime[i] = False
p += 1
# Print all prime numbers
for p in range(2, num+1):
if prime[p]:
print(p)
i = (p << 1)
# Updating all multiples of p
while i <= num:
prime[i] = False
i += p
p += 1
return [p for p in range(2, num+1) if prime[p]]
def print_sieve(num: int) -> None:
"""Prints all prime number from 1 to num.
Args:
num (int): Number up to which the prime numbers should be printed
"""
for number in sieve_of_eratosthenes(num):
print(number, end=" ")
# Driver code
if __name__ == '__main__':
num = 50
num = 3000
print("Following are the prime numbers smaller"),
print("than or equal to", num)
SieveOfEratosthenes(num)
print_sieve(num)