[seqfan] Re: A000108(n) ≡ 1 (mod 6)

Joerg Arndt arndt at jjj.de
Sat Dec 12 18:32:35 CET 2015


* Emmanuel Vantieghem <emmanuelvantieghem at gmail.com> [Dec 09. 2015 13:46]:
> Dear Ed,
> 
> I sent you a personal mail in which I indicated how one can prove that the
> theorem
>      "2 is primitive root mod 3^n for all n"
> implies your conjectures.  You asked me to post the proof here.
> 
> The proof is immediately found when you write the numbers  2^k mod 3^n in
> base 3.  All the numbers between 1  and  3^n-1
> not divisible by 3 will appear once and only once if k is taken in the
> interval  [1, 2*3^(n-1) ].

You again just state as a fact what you want to prove.
Have you checked the lists for all n, up to,
but excluding, infinity?   8^)

Best regards,  jj

> [...]


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