Haskell - Computations (1) P13133

These problems are inspired in some of the problems from Project Euler. You can find them at https://projecteuler.net.

• Write a function sumMultiples35 :: Integer -> Integer that, given a natural $n$, returns the sum of all mutiples of 3 or 5 below $n$.

• Write a function fibonacci :: Int -> Integer that, given a natural $n$, returns the $n$-th element of the Fibonacci sequence.

• Write a function sumEvenFibonaccis :: Integer -> Integer that, given a natural $n$, returns the sum of all even elements less than $n$ in the Fibonacci sequence.

• Write a function largestPrimeFactor :: Int -> Int that, given a natural $n\ge1$, returns the greatest prime factor of $n$.

• Write a function isPalindromic :: Integer -> Bool that, given a natural $n$, returns whether $n$ is palindromic, that is, if $n$ can be read in the same way from left to right than from right to left.

Scoring

• test-1a:   Function sumMultiples35 for $n\le 1000$.

• test-1b:   Function sumMultiples35 for big $n$.

• test-2a:   Function fibonacci for $n\le 20$.

• test-2b:   Function fibonacci for big $n$.

• test-3:   Function sumEvenFibonaccis.

• test-4:   Function largestPrimeFactor.

• test-5:   Function isPalindromic.