Write a program primes.py that reads a positive integer from standard input, and determines whether or not the number is prime.A prime number is a positive integer that is:greater than 1, andcan be divided exactly (without leaving a remainder) only by 1 or itself.
Question
Write a program primes.py that reads a positive integer from standard input, and determines whether or not the number is prime.A prime number is a positive integer that is:greater than 1, andcan be divided exactly (without leaving a remainder) only by 1 or itself.
Solution
Sure, here is a simple Python program that checks if a number is prime:
# Function to check if a number is prime
def is_prime(n):
if n <= 1:
return False
elif n <= 3:
return True
elif n % 2 == 0 or n % 3 == 0:
return False
i = 5
while i * i <= n:
if n % i == 0 or n % (i + 2) == 0:
return False
i += 6
return True
# Prompt the user for a positive integer
num = int(input("Enter a positive integer: "))
# Check if the number is prime and display the result
if is_prime(num):
print(num, "is a prime number.")
else:
print(num, "is not a prime number.")
This program works by first defining a function is_prime that checks if a number is prime. This function works by first checking if the number is less than or equal to 1 (in which case it is not prime), or if it is less than or equal to 3 (in which case it is prime). It then checks if the number is divisible by 2 or 3, and if so, returns False. Finally, it checks if the number is divisible by any odd number greater than or equal to 5 and less than or equal to the square root of the number. If it is, it returns False; otherwise, it returns True.
The main part of the program then prompts the user for a positive integer, checks if this number is prime using the is_prime function, and displays the result.
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