Euler 052 - Permuted multiples.ipynb

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    "Euler Problem 52\n",
    "================\n",
    "\n",
    "It can be seen that the number, 125874, and its double, 251748, contain exactly the same digits, but in a different order.\n",
    "\n",
    "Find the smallest positive integer, $x$, such that $2x$, $3x$, $4x$, $5x$, and $6x$, contain the same digits."
   ]
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     "text": [
      "142857\n"
     ]
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   "source": [
    "from itertools import count\n",
    "for x in count(1):\n",
    "    digits = sorted(str(x))\n",
    "    if all(sorted(str(k*x)) == digits for k in [2,3,4,5,6]):\n",
    "        print(x)\n",
    "        break\n",
    "    x += 1"
   ]
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