Created
January 2, 2023 13:50
-
-
Save HarryMcCarney/a78cf620206ce630e68d6f6b691b3a25 to your computer and use it in GitHub Desktop.
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
////Helper functions//// | |
let getTrianglesAndCoPrimes n = | |
if n % 2 = 0 then (n*(n+1)/2, (n/2), (n+1)) | |
else (n*(n+1)/2,((n+1)/2), n) | |
let getDivisors n = | |
let rec loopAndCheck n i divisors = | |
if i > n/2 then divisors |> Set.ofArray | |
elif n % i = 0 then loopAndCheck n (i+1) (Array.append divisors [|i|]) | |
else loopAndCheck n (i+1) divisors | |
loopAndCheck n 1 [||] | |
let checkCoPrime n1 n2 = | |
not (getDivisors n1 | |
|> Set.intersect (getDivisors n2) | |
|> Set.exists (fun x -> x <> 1)) | |
////Actual calculation//// | |
[|1..100000|] | |
|> Array.map getTrianglesAndCoPrimes | |
|> Array.map (fun (x, y, z) -> checkCoPrime y z) | |
|> Array.filter (fun x -> x = false) // should be an empty array |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment