Several Turing Machines, building up to a TM that stops once it has found the nth prime
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Turing_Machine
Are you interested in project based learning? No, I'm interested in learning based projecting.
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. Its input should be: a 0, followed by (n-1) 1s followed by an 8, followed by (m-1) 2s followed by a 9.
- A Turing Machine that detects whether a number >=2 is prime. Its input should be: a 0, followed by a 1, followed by an 8, followed [...] The input for