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   "source": [
    "# [Large Non-Mersenne Prime](https://projecteuler.net/problem=97)\n",
    "\n",
    "We'll use modular exponentiation - see [problem 48](https://projecteuler.net/problem=48) for further explanation."
   ]
  },
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   "id": "068f4155",
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    {
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      "text/plain": [
       "8739992577"
      ]
     },
     "execution_count": 1,
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   "source": [
    "modulus = 10^10\n",
    "(28433 * pow(2, 7830457, modulus) + 1) % modulus"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0454e1f8",
   "metadata": {},
   "source": [
    "#### 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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