# The Sieve of Eratosthenes Implementation in Python

$19.00

### Description

The Sieve of Eratosthenes is an elegant algorithm for finding all the prime numbers up to some limit n. The basic idea is to first create a list of numbers from 2 to n. The first number is removed from the list, and announced as prime, and all multiples of this number is removed up to n are removed from the list. This process continues until the list is empty.

For example, if you wanted to find all the prime numbers up to 10, the list would contain 2, 3, 4, 5, 6, 7, 8, 9, 10. The 2 is removed and announced to be prime and 4, 6, 8, and 10 are removed since they are multiples of 2. That leaves 3, 5, 7, 9., repeat the process until the list is empty

Write a program that prompts a user for n and then uses the sieve algorithm to find all the prime numbers less than or equal to n

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The solution includes python program and screenshot.

Attachments [Move over files to preview content of those files]

The_Sieve_of_Eratosthenes.zip (57.33 KB)

prime_numbers.py

Prime-Number-Screenshot.png

Preview prime_numbers.py

xxxxxx xxxx

xxxxxx xxx

xxx xx_xxxxx(xxxxxx):

“””

Check and return True if number is prime

otherwise return False

“””

for i in range(2, int(math.sqrt(number))):

if number % i == 0:

return False

return True

# xxxxxx x xxxxxxx xxxxxx

xxx = ”

xxx:

xxx = xxxxx(‘xxxxx x xxxxxxxx xxxxxxx xxxxxx: ‘)

x = xxx(xxx)

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