19 lines
806 B
Markdown
19 lines
806 B
Markdown
I asked my programming teacher how to create a Turing Machine that reaches the nth prime.
|
|
|
|
He thought I was joking.
|
|
He was WRONG.
|
|
|
|
I never make jokes :)
|
|
|
|
|
|
|
|
Anyways, to grok how Turing machines, as described in Automata and Computability, by Dexter C. Kozen, work, here are:
|
|
- A Turing Machine that accepts if a number n doesn't divide another number m and rejects otherwise.
|
|
- A Turing Machine that accepts if n doesn't divide m, or if n=m, and rejects otherwise.
|
|
- A Turing Machine that accepts if n is prime, and rejects otherwise.
|
|
- A Turing Machine that accepts once it has found the nth prime.
|
|
|
|
Early versions, deprecated, start with 0.
|
|
- A Turing Machine that accepts if a number n doesn't divide another number m and rejects otherwise.
|
|
- A Turing Machine that detects whether a number >=2 is prime.
|