Python #Prime_Number_generator _or_check_program in python | #python_13

A positive integer greater than 1 which has no other factors except 1 and the number itself is called a prime number. 2, 3, 5, 7 etc. are prime numbers as they do not have any other factors. But 6 is not prime (it is composite) since, 2 x 3 = 6.

Example 1:
Note: We can improve our program by decreasing the range of numbers where we look for factors.

In the above program, our search range is from 2 to num - 1.

We could have used the range, range(2,num//2) or range(2,math.floor(math.sqrt(num))). The latter range is based on the fact that a composite number must have a factor less than the square root of that number. Otherwise, the number is prime.
You can change the value of variable num in the above source code to check whether a number is prime or not for other integers.

In Python, we can also use the for...else statement to do this task without using an additional flag variable.


example 2:
Here, we have used a for..else statement to check if num is prime.

It works on the logic that the else clause of the for loop runs if and only if we don't break out the for loop. That condition is met only when no factors are found, which means that the given number is prime.

So, in the else clause, we print that the number is prime.



Prime Number generator or check program in python
#primenumber
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