diff --git a/0005-longest-palindromic-substring/0005-longest-palindromic-substring.py b/0005-longest-palindromic-substring/0005-longest-palindromic-substring.py
new file mode 100644
index 0000000..f5895c2
--- /dev/null
+++ b/0005-longest-palindromic-substring/0005-longest-palindromic-substring.py
@@ -0,0 +1,29 @@
+class Solution:
+    def longestPalindrome(self, s: str) -> str:
+        """
+        Complexities:
+        Time:  O(n^3)
+        Space: O(1)
+
+        where n = len(s)
+        """
+
+        # indicies inclusive - O(n)
+        def isPalindrome(startIndex: int, endIndex: int):
+            if startIndex >= endIndex:
+                return True
+
+            if s[startIndex] == s[endIndex]:
+                return isPalindrome(startIndex + 1, endIndex - 1)
+            return False
+
+
+        maxPalindrome = s[0]
+        for i in range(len(s)):
+            for j in range(i + 1, len(s)):
+                length = j - i + 1
+                if length > len(maxPalindrome) and isPalindrome(i, j):
+                    maxPalindrome = s[i:j+1]
+
+        return maxPalindrome
+