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   "source": [
    "### Euler's product formula\n",
    "\n",
    "$\\phi(n)=n\\prod_{p|n}\\left(1-\\frac{1}{p}\\right)$"
   ]
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  {
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   "source": [
    "### Euler's theorem\n",
    "\n",
    "$gcd(a, n)=1$\n",
    "\n",
    "$a^{\\phi(n)}\\equiv1 \\bmod n$"
   ]
  }
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