This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A252812 #20 Jul 01 2021 04:53:31
%S A252812 83,4871,8179,11423,14071,16411,29191,29531,35267,41603,47963,56747,
%T A252812 58963,61331,68791,68891,76039,82267,94811,96739,110063,122027,124823,
%U A252812 156631,175939,179383,183091,188563,192991,198491,206939,216119,219523,231871,232591
%N A252812 Primes whose trajectories under the map x -> A039951(x) enter the cycle {83, 4871} (conjectured).
%C A252812 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 A252812 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 A252812 R. Fischer, <a href="http://www.fermatquotient.com/FermatQuotienten/FermQ_Sorg.txt">Thema: Fermatquotient B^(P-1) == 1 (mod P^2)</a>
%e A252812 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 A252812 Cf. A039951, A244550, A252801, A252802.
%K A252812 nonn,hard
%O A252812 1,1
%A A252812 _Felix Fröhlich_, Dec 22 2014
%E A252812 More terms via computing prime bases with smallest Wieferich prime 83 from _Felix Fröhlich_, Mar 25 2015
%E A252812 Name edited by _Felix Fröhlich_, Jun 19 2021