Prime number generator.ipynb

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   "source": [
    "Function to generate prime numbers by trial and division"
   ]
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   "id": "1210dd2e",
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     "name": "stdout",
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     "text": [
      "[3, 5, 7, 11, 13, 17, 19]\n"
     ]
    }
   ],
   "source": [
    "from math import isqrt\n",
    "def prime(lower, upper):\n",
    "    results = []\n",
    "    #true as the program checks till proven false\n",
    "       \n",
    "    for i in range(lower,upper,2):\n",
    "        current = True\n",
    "        for a in range(3,(isqrt(i)+1),2):\n",
    "            if i%a == 0:\n",
    "                current = False\n",
    "                break\n",
    "        if current == True:\n",
    "            results.append(i)\n",
    "    return results\n",
    "           \n",
    "print(prime(3, 20))"
   ]
  }
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