cp's OEIS Frontend

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.

A338931 Least b such that b^(2^n) + 1 is an odd Pierpont prime (A005109).

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%I A338931 #7 Dec 18 2020 13:50:26
%S A338931 2,2,2,2,2,54,162,8310407949893763072,46438023168,65229815808,
%T A338931 396718580736,629856,152461794335880672662217818112
%N A338931 Least b such that b^(2^n) + 1 is an odd Pierpont prime (A005109).
%C A338931 Every term is even (A005843) and 3-smooth (A003586).
%C A338931 For n = 0, 1, 2, 3, 4, 7, 8, 9, 12, ..., the corresponding number b^(2^n) + 1 is also a Proth prime (A080076), while for n = 5, 6, 10, 11, ..., it is a non-Proth.
%C A338931 The form b^(2^n) + 1 is called a generalized Fermat number.
%e A338931 a(7) corresponds to prime 8310407949893763072^128 + 1 = (2^47*3^10)^128 + 1.
%Y A338931 Cf. A005109, A056993, A334053.
%K A338931 nonn,hard,more
%O A338931 0,1
%A A338931 _Jeppe Stig Nielsen_, Nov 16 2020