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Versions on Prime Numbers Algorithm in Python




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Algorithm by: Educator usingMaths

Our Prime Numbers code in Python.

Prime Numbers Class File:

from math import sqrt, ceil

# A class
class ListPrimes:

    # Constructor: takes two arguments  -- besides its name
    # alpha and omega values for the range
    def __init__(self, alpha, omega):
        self.start = alpha
        self.stop = omega + 1
        # STEP 1:
        self.progress = 9

        self.list_of_primes = [2, 3, 5, 7]
        self.square_root = 0


    # Returns an list of the desired set of prime numbers
    def getPrimes(self):

        # STEP 2:
        for self.progress in range(self.progress, self.stop, 2):

            self.do_next_iteration = False # a flag

            # STEPS 3, 4:
            # Check through already accumulated prime numbers
            # to see if any is a factor of "progress".
            self.square_root = int(ceil(sqrt(self.progress)))
            
            self.index = 0
            while self.list_of_primes[self.index] <= self.square_root:
                if self.progress % self.list_of_primes[self.index] == 0:
                    self.do_next_iteration = True
                    break

                self.index += 1

            if self.do_next_iteration == True:
                continue

            # if all checks are scaled,then "progress" is our guy.
            self.list_of_primes.append(self.progress)

        return self.list_of_primes


Main Class:


#!/usr/bin/python
from PrimeNumbers import ListPrimes

# Use the prime numbers module/class
lower_boundary = 1
upper_boundary = 100
prime_list = ListPrimes(lower_boundary, upper_boundary)
answer = prime_list.getPrimes()
print("Prime numbers between", lower_boundary, "and", upper_boundary, "are:\n", answer)


print("\n\n")


Try it out!
Ownership (1) Simplicity (0.0) Elegance (0.0)
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