local function k_prime(n, k)
    local nf = 0
    for i = 2, n do
        while n % i == 0 do
            if nf == k then return false end
            ++nf
            n //= i
        end
    end
    return nf == k
end

local function gen(k, n)
    local r = {}
    local m = 2
    for i = 1, n do
        while !k_prime(m, k) do ++m end
        r[i] = m
        m += 1
    end
    return r
end

for k = 1, 5 do
    print($"{k}: {gen(k, 10):concat(", ")}")
end