"Every positive number bigger than 1 can be represented as a sum of a square, a nonnegative cube and two positive Fibonacci numbers".

Example: 113=100+0+5+8

**NOT SO!**

Find the smallest integer n justifying the title of this puzzle.

Rem: It is quite a big number!

The first number contradicting Ady's claim is 1149053396. For more terms see OEIS A115173 "Positive numbers that are not the sum of a square, a nonnegative cube and two positive Fibonacci numbers."