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   "source": [
    "# Sub-string divisibility (Euler Problem 43)"
   ]
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   "source": [
    "The number, 1406357289, is a 0 to 9 pandigital number because it is made up of each of the digits 0 to 9 in some order, but it also has a rather interesting sub-string divisibility property.\n",
    "\n",
    "Let $d_1$ be the 1st digit, $d_2$ be the 2nd digit, and so on. In this way, we note the following:\n",
    "\n",
    "$d_2d_3d_4$=406 is divisible by 2\n",
    "\n",
    "$d_3d_4d_5$=063 is divisible by 3\n",
    "\n",
    "$d_4d_5d_6$=635 is divisible by 5\n",
    "\n",
    "$d_5d_6d_7=357$ is divisible by 7\n",
    "\n",
    "$d_6d_7d_8=572$ is divisible by 11\n",
    "\n",
    "$d_7d_8d_9=728$ is divisible by 13\n",
    "\n",
    "$d_8d_9d_{10} =289$ is divisible by 17\n",
    "\n",
    "Find the sum of all 0 to 9 pandigital numbers with this property."
   ]
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