Project Euler Q50 - LO Man Hei

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    "### Q50\n",
    "Which prime, below one-million, can be written as the sum of the most consecutive primes?"
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    "def prime_numbers(n):\n",
    "    result = []\n",
    "    sieve = [True] * (n+1)\n",
    "    for p in range(2, n+1):\n",
    "        if (sieve[p]):\n",
    "            result.append(p)\n",
    "            for i in range(p, n+1, p):\n",
    "                sieve[i] = False\n",
    "    return result\n",
    "\n",
    "def longest_consecutive_primes(n):\n",
    "    prime_list = prime_numbers(n)\n",
    "    prime_set = set(prime_list)\n",
    "    len_prime_list = len(prime_list)\n",
    "    min_step = 1\n",
    "    max_result = 0\n",
    "    for i in range(len_prime_list-1):\n",
    "        for j in range(i+min_step,len_prime_list):\n",
    "            temp_sum = sum(prime_list[i:j])\n",
    "            if temp_sum > n:\n",
    "                break\n",
    "            if temp_sum in prime_set:\n",
    "                max_result = temp_sum\n",
    "                min_step = max(min_step,j-i)\n",
    "    return max_result\n"
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      "CPU times: user 237 ms, sys: 0 ns, total: 237 ms\n",
      "Wall time: 234 ms\n"
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   "source": [
    "%%time\n",
    "longest_consecutive_primes(1000000)"
   ]
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