Generate random hex-string and calculate base58encode. I made these for some initial BTC-testing, but didn't test too much... seems to work, but would need some unit-tests... :-)

gistfile1.fs

module BtcTesting

open System
open System.Security.Cryptography

/// https://en.bitcoin.it/wiki/Base58Check_encoding
let base58encode (hash:byte[]) =
    let code_string = ['1'..'9']@['A'..'H']@['J'..'N']@['P'..'Z']@['a'..'k']@['m'..'z'] |> List.toArray
    let data = hash |> Array.toList
    
    let rec toBigInt = function
        |[], acc -> acc
        |h::t, acc -> toBigInt(t, acc*256I + bigint(int h)) 

    let rec base58encodeLeft = function
        | i,acc when i>0I ->
            let reminder = ref 0I
            let dividend = bigint.DivRem(i, 58I, reminder)
            let char = code_string.[(int)reminder.contents]
            base58encodeLeft(dividend, char::acc)
        | _,acc -> acc

    let appendOnes = 
        let rec insertOnes = function
            | h::t,acc when h=0uy -> insertOnes(t, '1'::acc)
            | _,acc -> acc
        insertOnes(data, [])

    let big = toBigInt(data, 0I)
    let encoded = appendOnes @ base58encodeLeft(big, []) |> List.toArray
    String(encoded)

/// String to byte-array. This is taken from:
/// http://www.fssnip.net/gf
let fromHex (s:string) = 
  s
  |> Seq.windowed 2
  |> Seq.mapi (fun i j -> (i,j))
  |> Seq.filter (fun (i,j) -> i % 2=0)
  |> Seq.map (fun (_,j) -> Byte.Parse(new System.String(j),System.Globalization.NumberStyles.AllowHexSpecifier))
  |> Array.ofSeq
        
/// https://en.bitcoin.it/wiki/Wallet_import_format
let keyToWif (key:string) =
    use sha = new SHA256Managed()
    let extended = "80"+key |> fromHex
    let hashCheck = extended
                    |> sha.ComputeHash
                    |> sha.ComputeHash
    Array.append extended hashCheck.[0..3] 
    |> Array.rev
    |> base58encode

/// Generates random HEX-string
let privateKey() = 
    let chars = ['a'..'f']@['0'..'9'] |> List.toArray
    let length = chars.Length
    let data = Array.zeroCreate 64
    use provider = new RNGCryptoServiceProvider()
    do provider.GetNonZeroBytes(data)
    let random = data |> Array.map(fun b -> chars.[(int)b % length ])
    System.String(random)

// let pk = privateKey();;
// pk |> keyToWif;;