This is kinda a repost but I want to put attention to this again.
consider 2^x mod p
where x is a residue mod p for p an odd prime.
Now for some p we might define f(x) such that f(f(x)) = 2^x mod p.
Im very intrested in how many such p exist and how f behaves.
**edit**
A naive argument exists that claims about 50% of the primes will do.
I assume this is wrong ?
**edit**
regards
tommy1729
consider 2^x mod p
where x is a residue mod p for p an odd prime.
Now for some p we might define f(x) such that f(f(x)) = 2^x mod p.
Im very intrested in how many such p exist and how f behaves.
**edit**
A naive argument exists that claims about 50% of the primes will do.
I assume this is wrong ?
**edit**
regards
tommy1729