20210313, 17:29  #23 
Feb 2017
Belgium
3·7 Posts 
Thank you very much for your response.
That’s a bit of my problem. I don’t know where to go to, to put things in to music and if it’s worth the effort. That’s why I came here for some feedback or help. Can such a proof be useful? Can it help the forum? Or computations in some way? It will take time to put things in to music. Maybe it’s worth writing a paper on it. But I am not into that kind of writing business nor have I the time or the skills to write things scrupulously down from a to z in a paper. I found something (hobbywise) but maybe it’s not of use. I thought people here would be interested or know whether it’s worthwhile asking somebody to verify or whether it can be of any use. If my assumption stands it would be a sufficient test to say Mp is prime. 
20210313, 23:10  #24  
Feb 2017
Belgium
10101_{2} Posts 
Quote:
https://mersenneforum.org/showthread.php?t=24051&highlight=sufficient+test 

20210314, 07:31  #25 
Feb 2017
Belgium
3×7 Posts 
fyi I found everything by myself, not knowing any theorems. It was just some spielerei with numbers. I am not familiar with most of the notations (f.e. kronecker notation). That means that we don’t speak the same language yet. Which will lead almost certainly to some misunderstandings and miscommunications. Sorry in advance for this.

20210315, 18:02  #26  
Romulan Interpreter
"name field"
Jun 2011
Thailand
24060_{8} Posts 
Quote:
In fact, for any odd prime number q, mersenne or not, and any base b, b^(q1)=1 (mod 2), so the result is always 1/2+1 (mod q). Or (q+3)/2. Always. Never zero. So, this is never true for primes. Last fiddled with by LaurV on 20210315 at 18:08 

20210315, 20:19  #27  
Feb 2017
Nowhere
18F0_{16} Posts 
Quote:
3^(Mn1)/2 + 1 == 0 (mod Mn) There is no question the OP meant 3^((Mn1)/2) + 1 == 0 (mod Mn) Last fiddled with by Dr Sardonicus on 20210315 at 20:20 Reason: fignix stopy 

20210322, 09:42  #28 
Romulan Interpreter
"name field"
Jun 2011
Thailand
2^{4}·643 Posts 
I know that you know...

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