In the continuing series of solving Project Euler problems with F#, here is problem 6 and my solution:

The sum of the squares of the first ten natural numbers is,

1^{2} + 2^{2} + … + 10^{2} = 385

The square of the sum of the first ten natural numbers is,

(1 + 2 + … + 10)^{2} = 55^{2} = 3025

Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 – 385 = 2640.

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.

- Enumerate 1-100 and square each value. Add the results together
- Enumerate 1-100 and add each value together. Square the resulting sum.
- Find the difference between the two.

let problem6 =
let values = [1..100]
let sumOfSquares = values |> Seq.map (fun x -> pown x 2) |> Seq.sum
let squareOfSums = values |> Seq.sum |> (fun x -> pown x 2)
squareOfSums - sumOfSquares

Download the source code with unit tests.

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