largestprime

function generate (max)
    generatedArray={}
    for n=2, max do
        generatedArray[n]=true
    end
end
function sieve (max)
    --make list
    generate(max)
    --get rid of multiples
    for i=2, math.sqrt(max) do
        if generatedArray[i]==true then
            for j=2, max do
                generatedArray[i*j]=false
            end
        end
    end
end
-- main starts here!
sieve(10001)
filteredArray={}
v=1
for counter=1, 10001^2 do
        if generatedArray[counter]==true then
            filteredArray[v]=counter
            print("FOLLOWING NUMBER IS PRIME " .. counter)
            v=v+1
        end

end
print("ANSWER FOLLOWS " .. filteredArray[10001])