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%I #20 Jul 01 2021 04:53:31
%S 83,4871,8179,11423,14071,16411,29191,29531,35267,41603,47963,56747,
%T 58963,61331,68791,68891,76039,82267,94811,96739,110063,122027,124823,
%U 156631,175939,179383,183091,188563,192991,198491,206939,216119,219523,231871,232591
%N Primes whose trajectories under the map x -> A039951(x) enter the cycle {83, 4871} (conjectured).
%C This sequence may contain gaps, as there are some prime bases for which no Wieferich primes are known. Those bases are 47, 139, 311, 347, 983, .... (see Fischer link).
%C Any prime whose trajectory leads to a prime in this sequence is also a term of the sequence. Therefore, if the trajectory of any of the bases mentioned in the previous comment leads to a term in the sequence, then that base and any prime bases where it is the smallest Wieferich prime are also terms. - _Felix Fröhlich_, Mar 25 2015
%H R. Fischer, <a href="http://www.fermatquotient.com/FermatQuotienten/FermQ_Sorg.txt">Thema: Fermatquotient B^(P-1) == 1 (mod P^2)</a>
%e The trajectory of 8179 under the given map starts 8179, 83, 4871, 83, 4871, ..., entering the given cycle, so 8179 is a term of the sequence.
%Y Cf. A039951, A244550, A252801, A252802.
%K nonn,hard
%O 1,1
%A _Felix Fröhlich_, Dec 22 2014
%E More terms via computing prime bases with smallest Wieferich prime 83 from _Felix Fröhlich_, Mar 25 2015
%E Name edited by _Felix Fröhlich_, Jun 19 2021
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