pi, e, √2 are thought to be normal [0], which would make them Disjunctive sequences [1]. This means that every finite string appears as a substring in them, including for example all Shakespeare works, and the ADN of every person [2].
In particular they contain this illegal prime number, and the gzipped and non-gzipped versions of this program in every programming language possible.
Does that mean that they may become illegal someday if they are proven to be normal?
In particular they contain this illegal prime number, and the gzipped and non-gzipped versions of this program in every programming language possible.
Does that mean that they may become illegal someday if they are proven to be normal?
[0] https://en.wikipedia.org/wiki/Normal_number
[1] https://en.wikipedia.org/wiki/Disjunctive_sequence
[2] http://sprott.physics.wisc.edu/pickover/pimatrix.html
(edited to add links)