Cpp program to print all prime numbers in a given range | C++ | VScode

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Topic: C++ Program to Print All Prime Numbers in a Given Range

Description:
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, a prime number is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, 13, 17, etc., are prime numbers.

The task of the C++ program is to print all the prime numbers within a specified range. The program needs to take two integer inputs from the user: the lower bound and the upper bound of the range. Then, it should identify and display all the prime numbers that lie within this range.

Algorithm:

Start the program.
Declare two variables to store the user input integers, let's call them 'lower' and 'upper'.
Take the inputs 'lower' and 'upper' from the user.
Use a loop to iterate from 'lower' to 'upper' (i.e., for 'i' from 'lower' to 'upper').
For each 'i', check if it is a prime number.
To check if 'i' is prime, use a nested loop to iterate from 2 to the square root of 'i' (i.e., for 'j' from 2 to sqrt(i)).
For each 'j', check if 'i' is divisible by 'j'.
If 'i' is divisible by 'j' (i.e., i % j == 0), it is not a prime number, break the loop, and move to the next 'i'.
If the loop completes without finding any 'j' that divides 'i', it means 'i' is a prime number.
Print the prime number 'i'.
Continue the loop until all the numbers from 'lower' to 'upper' are checked.
End the program.
Example:
Let's say the user inputs the range as 'lower' = 10 and 'upper' = 30.
The program will perform the following steps:

'lower' is set to 10 and 'upper' is set to 30.
The loop runs from 10 to 30 (i.e., for i = 10 to i = 30).
For i = 10, it is not a prime number.
For i = 11, it is a prime number, so the program prints "11".
For i = 12, it is not a prime number.
For i = 13, it is a prime number, so the program prints "13".
For i = 14, it is not a prime number.
For i = 15, it is not a prime number.
For i = 16, it is not a prime number.
For i = 17, it is a prime number, so the program prints "17".
For i = 18, it is not a prime number.
For i = 19, it is a prime number, so the program prints "19".
For i = 20, it is not a prime number.
For i = 21, it is not a prime number.
For i = 22, it is not a prime number.
For i = 23, it is a prime number, so the program prints "23".
For i = 24, it is not a prime number.
For i = 25, it is not a prime number.
For i = 26, it is not a prime number.
For i = 27, it is not a prime number.
For i = 28, it is not a prime number.
For i = 29, it is a prime number, so the program prints "29".
For i = 30, it is not a prime number.
The loop ends, and the program terminates.

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