# Python program to print all Prime numbers in an Interval

Given two positive integer start and end. The task is to write a Python program toprint all Prime numbers in an Interval.

Definition: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The first few prime numbers are {2, 3, 5, 7, 11, ….}.

The idea to solve this problem is to iterate the val from start to end using a for loop and for every number, if it is greater than 1, check if it divides n. If we find any other number which divides, print that value.

Below is the Python implementation:

 `# Python program to print all  ` `# prime number in an interval ` ` `  `start ``=` `11` `end ``=` `25` ` `  `for` `val ``in` `range``(start, end ``+` `1``): ` `    ``if` `val > ``1``: ` `        ``for` `n ``in` `range``(``2``, val``/``/``2` `+` `2``): ` `            ``if` `(val ``%` `n) ``=``=` `0``: ` `                ``break` `            ``else``: ` `                ``if` `n ``=``=` `val``/``/``2` `+` `1``: ` `                    ``print``(val) `

Output:

```11
13
17
19
23```

The above solution can be optimized using Sieve of Erathostenes. Please see print prime numbers in a range for details.

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