diff --git a/Fibonacci-number-detector-function/function.py b/Fibonacci-number-detector-function/function.py
index 2c9b684..4004d7d 100644
--- a/Fibonacci-number-detector-function/function.py
+++ b/Fibonacci-number-detector-function/function.py
@@ -1,10 +1,11 @@
+import math
+
+# A utility function that returns true if x is perfect square
+def isPerfectSquare(x):
+ s = int(math.sqrt(x))
+ return s*s == x
+
+# Returns true if n is a Fibonacci Number, else false
def isFibonacci(n):
- s = []
- a, b = 0, 1
- while a <= n:
- s = [a]
- a, b = b, a + b
- if n in s:
- return True
- else:
- return False
+ # n is Fibonacci iff (5*n*n + 4 or 5*n*n - 4) is a perfect square
+ return isPerfectSquare(5*n*n + 4) or isPerfectSquare(5*n*n - 4)
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