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   "source": [
    "# [Power Digit Sum](https://projecteuler.net/problem=16)\n",
    "\n",
    "Since Python/SageMath support integers of arbitrary size, this problem is pretty straightforward. Just compute $2^{1000}$ directly and sum the digits up."
   ]
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     "text": [
      "1366\n"
     ]
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   "source": [
    "n = 2 ^ 1000\n",
    "total = 0\n",
    "while n != 0:\n",
    "    total += n % 10\n",
    "    n //= 10\n",
    "\n",
    "print(total)"
   ]
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   "source": [
    "## Relevant sequences\n",
    "* Sums of digits of $2^n$: [A001370](https://oeis.org/A001370)\n",
    "\n",
    "#### Copyright (C) 2025 filifa\n",
    "\n",
    "This work is licensed under the [Creative Commons Attribution-ShareAlike 4.0 International license](https://creativecommons.org/licenses/by-sa/4.0/) and the [BSD Zero Clause license](https://spdx.org/licenses/0BSD.html)."
   ]
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