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Old 2021-08-09, 18:28   #1322
garambois's Avatar
"Garambois Jean-Luc"
Oct 2011

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Originally Posted by warachwe View Post
The problem is that when the factor 13 are with even power, it does not preserve the 7 for the second iteration.
This only happen when k is multiple of 13, for example 2^(12*13)-1 =3^2*5*7*13^2*53*79*...

This is why conjecture 34 ( 3^(18*37) ), 35 ( 3^(36*37) ), and 106 ( 11^(6*37) ) are false.

But this doesn't mean all similar conjecture are false, as there maybe others prime(s) that preserve p.

When we try to 'get rid of' those primes, there maybe yet another that will preserve p instead. Since the size of first iteration grow very quickly, it is hard to find other contradiction this way.

If some of those are true, I imagine the proof might be similar to the proof of conjecture (2).

Thank you so much for your explanations !
I think I'm going to have to add some red to the conjecture page very quickly !
I will do that in the next few days...
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