Python program to print all Prime numbers in an Interval

In this article, we will learn about the solution to the problem statement given below.

Problem statement − We are given an interval we need to compute all the prime numbers in a given range

Here we will be discussing a brute-force approach to get the solution i.e. the basic definition of a prime number. Prime numbers are the number which has 1 and itself as a factor and rests all the numbers are not its factors.

Each time the condition of a prime number is evaluated to be true computation is performed.

Now let’s observe the concept in the implementation below−

Example

start = 1
end = 37
for val in range(start, end + 1):
   # If num is divisible by any number
   # between 2 and val, it is not prime
   if val > 1:
      for n in range(2, val):
         if (val % n) == 0:
            break
      else:
         print(val)

Output

2
3
5
7
11
13
17
19
23
29
31
37

All the variables are declared in the local scope and their references are seen in the figure above.

Conclusion

In this article, we have learned about how we can print all the prime numbers in an interval