So in theory it could work but we will all be dead before the computer could solve it.

Cool.

Pretty much.

The scale of difficulty is similar than finding the exactly right 1mm x1mm square from the whole Milky Way Galaxy.

The diameter of Milky Way is about 150000 light years.

One light year is 9460730472580800000 mm

The (2D) area of Milky Way is

(PI*((150000*9460730472580800000)/2)^2) #(PI=3.1425...)

= 1581691349841256110761018035871634520600000000000 mm^2

Which is about the same scale than 2^160

= 1461501637330902918203684832716283019655932542976

These are pretty big numbers.