perplexus.info :: Numbers : A false conjecture

A false conjecture (Posted on 2017-01-27)

"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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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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