Why can't I find the player from String?

It's a script a leader board, which works by collecting all the players to a table, then generating a Frame for each of them, one by one and it always restarts when someone leaves/joins. The problem is that I can't the Player using the table I have. It just won't find it.

(Non local-script)

local playercount = 0
local playerlist = {}
local curr_player

function Regenerate()
	playerlist = {}
	for _, player in pairs(game.Players:GetPlayers()) do
		table.insert(playerlist, player)
	end
	playercount = #playerlist
	
	for i=1, playercount+1 do
		curr_player = game.Players:FindFirstChild(playerlist[i])
		local persFrame = Instance.new("Frame", script.Parent.Main)
		--Design..
		local persPoint = Instance.new("TextBox", persFrame)
		persPoint.Name = "Points"
		--Desing...
		print(playerlist[i])    --This shows the player's name correct
		persPoint.Text = curr_player.Name  --This is where I get the error
	end
end

function onPlayerAdded(player)
	Regenerate()
end

game.Players.PlayerRemoving:connect(function(player)
	Regenerate()
end)

game.Players.PlayerAdded:connect(onPlayerAdded)

I get an error that says it can't get "curr_player" Name, because it's a nil. I'm sure it must be a tiny error, but i'm really looking forward to find it out. Thanks for the advice.

local Players = game:GetService("Players")
local curr_player = game.Players.LocalPlayer

Add those and see if it fixes.