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Haskell Program to Display Prime Numbers Between Two Intervals
In Haskell, we can display Prime Numbers between Two Intervals using user-defined functions and list comprehension. In the first example, we are going to use (isPrime and primesInRange) user-defined functions and in the second example, we are going to use list comprehension.
Algorithm
Step 1 ? The Data.List library is imported.
Step 2 ? The user-defined isPrime function is defined.
Step 3 ? Program execution will be started from main function. The main() function has whole control of the program.
Step 4 ? The variables named, "lower" and "upper" are being initialized. It will hold the range between which the prime numbers is to be printed.
Step 5 ? The resultant prime numbers under the defined range is printed to the console using ?print' function after the function is called.
Example 1
In this example, we are going to see that how we can display prime numbers between two interval using user defined functions.
import Data.List (filter)
isPrime :: Integer -> Bool
isPrime n
| n <= 1 = False
| n == 2 = True
| n `mod` 2 == 0 = False
| otherwise = all (\x -> n `mod` x /= 0) [3,5..(floor (sqrt (fromIntegral n)))]
primesInRange :: Integer -> Integer -> [Integer]
primesInRange a b = filter isPrime [a..b]
main :: IO ()
main = do
let lower = 10
upper = 20
print (primesInRange lower upper)
Output
[11,13,17,19]
Example 2
In this example, we are going to see that how we can display prime numbers between two interval using list comprehension.
import Data.List (filter)
isPrime :: Integer -> Bool
isPrime n
| n <= 1 = False
| n == 2 = True
| n `mod` 2 == 0 = False
| otherwise = all (\x -> n `mod` x /= 0) [3,5..(floor (sqrt (fromIntegral n)))]
primesInRange :: Integer -> Integer -> [Integer]
primesInRange a b = filter isPrime [a..b]
main :: IO ()
main = do
let lower = 10
upper = 20
print (primesInRange lower upper)
Output
[11,13,17,19]
Conclusion
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In Haskell, to display the prime numbers between two interval we can use user-defined functions and list comprehension.
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