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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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Some Thoughts Who cares about the correct answer? Comment 7 of 7 |

The answer (1,149,053,396) is not important!

What matters is the fact that over 10^9 numbers comply with a certain conjecture and suddenly a wise-guy-number pops up
that does not.

Read more  @ OEIS A115713.


  Posted by Ady TZIDON on 2017-02-25 10:05:23
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