Python Simple Solution
Intuition\n Describe your first thoughts on how to solve this problem. \n\n# Approach\n1>Check if n is a palindrome. If it is, check if it is a prime number. If
# Intuition\n<!-- Describe your first thoughts on how to solve this problem. -->\n\n# Approach\n1>Check if n is a palindrome. If it is, check if it is a prime number. If it is, return n.\n2>Otherwise, increment n by 1 and repeat step 1 until a palindrome prime is found.\n\n# Complexity\n- Time complexity:\nThe time complexity of this algorithm depends on the number of steps it takes to find a palindrome prime greater than or equal to n. The worst-case scenario is when n is a large prime number and the next palindrome prime is much large.\n\n- Space complexity:\nThe space complexity of this algorithm is O(1) .\n\n# Code\n```\nclass Solution:\n    def primePalindrome(self, n: int) -> int:\n#1 best \n        def is_palindrome(x):\n            return str(x) == str(x)[::-1]\n        \n        def is_prime(x):\n            if x < 2:\n                return False\n            for i in range(2, int(x ** 0.5) + 1):\n                if x % i == 0:\n                    return False\n            return True\n        \n        while True:\n            if is_palindrome(n) and is_prime(n):\n                return n\n            n += 1\n            if 10**7 < n < 10**8:\n                n = 10**8\n        \n\n\n\n\n\n\n\n\n        #2 TLE\n        # def is_prime(number):\n        #     if number > 1:\n        #         for num in range(2, number):\n        #             if number % num == 0:\n        #                 return False\n        #         return True\n        #     return False\n\n        # n_str = str(n)\n        # l = len(n_str)        \n        # for k in range(max(0, l//2-1), 5):\n        #     for i in range(10**k, 10**(k+1)):                            # odd length\n        #         i_str = str(i)\n        #         if k > 0 and i_str[0] in [\'2\',\'4\',\'5\',\'6\',\'8\']: continue # pruning\n        #         cur = i_str + i_str[-2::-1]\n        #         cur_int = int(cur)\n        #         if cur_int >= n and is_prime(cur_int): \n        #             return cur_int\n                \n        #     for i in range(10**k, 10**(k+1)):                            # even length\n        #         i_str = str(i)\n        #         if i_str[0] in [\'2\',\'4\',\'5\',\'6\',\'8\']: continue           # pruning\n        #         cur = i_str + i_str[::-1]\n        #         cur_int = int(cur)\n        #         if cur_int >= n and is_prime(cur_int): \n        #             return cur_int\n        # return -1\n\n\n\n\n\n\n\n\n        # #3 TLE\n        # if 8 <= n <= 11: return 11\n        # for x in range(10 ** (len(str(n))// 2), 10**5):\n        #     y = int(str(x) + str(x)[-2::-1])\n        #     if y >= n and is_prime(y): return y\n\n\n\n\n\n\n\n\n\n\n\n        # #4 it gives TLE\n        # res=n\n        # c=1\n        # while c:\n        #     if str(res)==str(res)[::-1] and is_prime(res)==True:\n        #         c=0\n        #     else:\n        #         res+=1\n        # return res\n            \n\n     \n```
['Python3']