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Intuition\n Describe your first thoughts on how to solve this problem. \n\n# Approach\n Describe your approach to solving the problem. \n\n# Complexity\n- Time 
# Intuition\n<!-- Describe your first thoughts on how to solve this problem. -->\n\n# Approach\n<!-- Describe your approach to solving the problem. -->\n\n# Complexity\n- Time complexity:\n<!-- Add your time complexity here, e.g. $$O(n)$$ -->\n\n- Space complexity:\n<!-- Add your space complexity here, e.g. $$O(n)$$ -->\n\n# Code\n```\nclass Solution:\n    def primePalindrome(self, n: int) -> int:\n        def is_palindrome(x):\n            s = str(x)\n            return s == s[::-1]\n\n        def is_prime(x):\n            if x < 2:\n                return False\n            if x == 2:\n                return True\n            if x % 2 == 0:\n                return False\n            for i in range(3, int(math.sqrt(x)) + 1, 2):\n                if x % i == 0:\n                    return False\n            return True\n\n        # Generate palindrome candidates\n        def generate_palindromes():\n            for i in range(1, 10):  # Single digit palindromes\n                yield i\n            for length in range(1, 6):  # Palindromes up to 10^8\n                # Odd length palindromes\n                for root in range(10**(length - 1), 10**length):\n                    s = str(root)\n                    yield int(s + s[-2::-1])\n                # Even length palindromes\n                for root in range(10**(length - 1), 10**length):\n                    s = str(root)\n                    yield int(s + s[::-1])\n\n        # Iterate over palindromes and find the smallest prime palindrome >= n\n        for palindrome in generate_palindromes():\n            if palindrome >= n and is_prime(palindrome):\n                return palindrome\n\n        return -1  # This should never happen with the given constraints\n\n\n```
['Python3']