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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.

A334053 Least b such that b^(2^n) + 1 is a Proth prime (A080076).

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%I A334053 #22 Jan 05 2021 03:44:44
%S A334053 2,2,2,2,2,96,6912,960,16256,2013184,235520,61184,125440,992256,
%T A334053 155615232,550207488,12192710656
%N A334053 Least b such that b^(2^n) + 1 is a Proth prime (A080076).
%C A334053 Every term b is in A116882 (the prime factor 2 of b must account for more than the square root of b).
%C A334053 For n up to about 11, a(n) can be found with the PARI function below. From there up to n=14, you can find a(n) by filtering lists of known primes of the form b^(2^n) + 1.
%H A334053 Chris K. Caldwell, The Prime Pages, <a href="https://primes.utm.edu/primes/page.php?id=131541">12192710656^65536 + 1</a>
%o A334053 (PARI) a(n) = forstep(b=2,+oo,2,2*valuation(b,2)>logint(b,2)&&ispseudoprime(b^(2^n)+1)&&return(b))
%Y A334053 Cf. A056993, A080076, A116882.
%K A334053 more,nonn
%O A334053 0,1
%A A334053 _Jeppe Stig Nielsen_, Sep 07 2020
%E A334053 a(15) calculated by Pavel Atnashev added by _Jeppe Stig Nielsen_, Sep 18 2020
%E A334053 a(16) calculated by Pavel Atnashev added by _Jeppe Stig Nielsen_, Jan 05 2021