This is a Python Program to print all prime numbers within a given range.

The program takes in the upper limit and prints all prime numbers within the given range.

1. Take in the upper limit for the range and store it in a variable.

2. Let the first for loop range from 2 to the upper limit.

3. Initialize the count variable to 0.

4. Let the second for loop range from 2 to half of the number (excluding 1 and the number itself).

5. Then find the number of divisors using the if statement and increment the count variable each time.

6. If the number of divisors is lesser than or equal to 0, the number is prime.

7. Print the final result.

8. Exit.

Here is source code of the Python Program to check if a number is a prime number. The program output is also shown below.

r=int(input("Enter upper limit: ")) for a in range(2,r+1): k=0 for i in range(2,a//2+1): if(a%i==0): k=k+1 if(k<=0): print(a)

1. User must enter the upper limit of the range and store it in a different variable.

2. The first for loop ranges till the upper limit entered by the user.

3. The count variable is first initialized to 0.

4. The for loop ranges from 2 to the half of the number so 1 and the number itself aren’t counted as divisors.

5. The if statement then checks for the divisors of the number if the remainder is equal to 0.

6. The count variable counts the number of divisors and if the count is lesser or equal to 0, the number is a prime number.

7. If the count is greater than 0, the number isn’t prime.

8. The final result is printed.

Case 1: Enter upper limit: 15 2 3 5 7 11 13 Case 2: Enter upper limit: 40 2 3 5 7 11 13 17 19 23 29 31 37

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