Finding the Mth Prime Number Write a well-documented Python program, hmwk3Q1.py that finds the Mth prime number by extending hmwk2Q3.py, which finds the prime number for a single number. Have your program query the user for the integer M. Print the value of the 908th prime number and record it as a comment in your Python program. Hints: Re-use hmwk2Q3.py software by embedding it in a while-loop. The while-loop continues to call upon the prime number code until it finds the 908th prime number. Make sure that inside the while-loop you implement a counter, which is incremented when a prime number is found.

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Finding the Mth prime number
print("Is The Integer Prime?")
#ask the user to input an integer N
N = int(input("Enter an integer: "))
# initialize an empty list to store the factors
factors = []
#loop through the integers from 1 to N-1
for i in range(2, N):
#check if i is a factor of N
if N % i == 0:
#ifi is a factor, append it to the list of factors
factors.append(i)
#check if the length of the list of factors is 0
if len(factors) == 0:
#if the length of the list of factors is 0, N is a prime number
print(f"{N} is Prime")
else:
# if the length of the list of factors is not 0, N is not a prime number
print(f"{N} is not Prime")
Transcribed Image Text:print("Is The Integer Prime?") #ask the user to input an integer N N = int(input("Enter an integer: ")) # initialize an empty list to store the factors factors = [] #loop through the integers from 1 to N-1 for i in range(2, N): #check if i is a factor of N if N % i == 0: #ifi is a factor, append it to the list of factors factors.append(i) #check if the length of the list of factors is 0 if len(factors) == 0: #if the length of the list of factors is 0, N is a prime number print(f"{N} is Prime") else: # if the length of the list of factors is not 0, N is not a prime number print(f"{N} is not Prime")
Finding the Mth Prime Number
Write a well-documented Python program, hmwk3Q1.py that finds the Mth prime number by extending hmwk2Q3.py,
which finds the prime number for a single number. Have your program query the user for the integer M. Print the value
of the 908th prime number and record it as a comment in your Python program.
Hints:
Re-use hmwk2Q3.py software by embedding it in a while-loop. The while-loop continues to call upon the prime number
code until it finds the 908th prime number. Make sure that inside the while-loop you implement a counter, which is
incremented when a prime number is found.
Transcribed Image Text:Finding the Mth Prime Number Write a well-documented Python program, hmwk3Q1.py that finds the Mth prime number by extending hmwk2Q3.py, which finds the prime number for a single number. Have your program query the user for the integer M. Print the value of the 908th prime number and record it as a comment in your Python program. Hints: Re-use hmwk2Q3.py software by embedding it in a while-loop. The while-loop continues to call upon the prime number code until it finds the 908th prime number. Make sure that inside the while-loop you implement a counter, which is incremented when a prime number is found.
Expert Solution
Explanation

  1) Below is python program to find Nth prime number

  • It display's the message to user for prime checking
  • Ask user to enter an integer using input function, convert it to integer and assign it to num variable
  • Initialize number and prime count
  • Run loop to continue call upon prime numbers
    • Initialize an empty list to store the factors
    • Loop through integers from 2 to number
      • Check if i is a factor of count
        • append the factor with prime number
    • If length of factors is 0, means it is a prime number
      • increase prime count
    • If prime count the user selected number, display prime and break from while loop
    • increment number to check for next prime

2) Save program in python file hmwk2Q3.py and run

 

 

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