require "bignum"
local fmt = require "fmt"

local rd = {"22", "333", "4444", "55555", "666666", "7777777", "88888888", "999999999"}
mpz.init() -- use GMP
mpz.convert(false) -- leave results as strings
for i = 2, 9 do
    fmt.print("First 10 super-%d numbers:", i)
    local count = 0
    local j = 3
    local k
    while count < 10 do
        local a = mpz.set(1, j)
        mpz.pwr(a, i)
        k = mpz.mul(a, i, true)
        local ix = k:find(rd[i - 1], 1, true)
        if ix then
            count += 1
            fmt.write("%s ", j)
        end
        j += 1
    end
    print("\n")
end
mpz.clearAll(false)