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A false conjecture (Posted on 2017-01-27) Difficulty: 4 of 5
"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!

See The Solution Submitted by Ady TZIDON    
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Hints/Tips I found it! | Comment 5 of 7 |

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."


  Posted by Brian Smith on 2017-01-29 13:49:28
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