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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Comments: ( Back to comment list | You must be logged in to post comments.)

re: computer attempt

| Comment 2 of 7 |

(In reply to computer attempt by Charlie)

That program, extended to 2,000,000 had also verified no counterexamples up through that number

Posted by Charlie on 2017-01-27 14:24:25

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