Happy 2019

Number Theory Level 3

What is the smallest number of ones that can be used to represent 2019 using ones and any number of additions, multiplications, and parentheses?

This does not allow juxtaposition and exponentiation of ones to form larger integers.

24 23 25 26 22

Brian Lie by Brian Lie , 26, China

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Brian Lie
Dec 29, 2018

( ( ( 1 + 1 ) × ( 1 + 1 + 1 ) + 1 ) × ( 1 + 1 ) 5 × ( 1 + 1 + 1 ) + 1 ) × ( 1 + 1 + 1 ) = 2019 \left(((1+1)\times(1+1+1)+1)\times(1+1)^5\times(1+1+1)+1\right)\times(1+1+1)=2019

3 Helpful 0 Interesting 1 Brilliant 0 Confused

I'm not sure if some people would think that they can put 1s together and form 11 , 111 11,111 etc.

I had a similar problem on 2018, and it was reported.

X X - 2 years, 5 months ago

Log in to reply

Thank you. I editted it accordingly.

Brian Lie - 2 years, 5 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...