primes p s.t. there is an A s.t. A^(p-1)==1 mod p^2

[Joerg Arndt]

* T. D. Noe <noe at sspectra.com> [Aug 26. 2008 16:37]:
> >submit?
> >also submit complement?
> >
> >btw. 113 is the only prime with A^(p-1)==1 mod p^3 I could
> >find;  none for modulus p^k where k>3 so far.
> 
> Is there a reason for looking at only A < p?

I noticed the question in
  Dickson, "History of the theory of numbers", vol.1, p.105

Naturally connected with
  non-generous primes A055578
and
  Wieferich primes, A001220

So I thought it might be worth submitting.

> 
> When you submit this, you might xref A039678 and A143548.
> 
> Tony