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.

A215698 Number of primes of the form 1 + b^256 for 1 < b < 10^n.

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%I A215698 #5 Aug 22 2012 21:06:15
%S A215698 0,0,4,30,272,2322
%N A215698 Number of primes of the form 1 + b^256 for 1 < b < 10^n.
%C A215698 Primes 1 + b^256 are a form of generalized Fermat primes.
%C A215698 It is conjectured that a(n) is asymptotic to 0.0290422*li(10^n)
%H A215698 Yves Gallot, <a href="http://yves.gallot.pagesperso-orange.fr/primes/results.html">Status of the smallest base values yielding Generalized Fermat primes</a>
%H A215698 Yves Gallot, <a href="http://yves.gallot.pagesperso-orange.fr/primes/stat.html">How many prime numbers appear in a sequence ?</a>
%H A215698 Yves Gallot, <a href="http://yves.gallot.pagesperso-orange.fr/papers/ccdgfpn.html">A Problem on the Conjecture Concerning the Distribution of Generalized Fermat Prime numbers (a new method for the search for large primes)</a>
%e A215698 a(3) = 4 because the generalized Fermat numbers F_8(b) where b<10^3 are prime only for b: 278, 614, 892, 898.
%o A215698 (PARI) a(n) = sum(b=1, 10^n/2-1, isprime((2*b)^256+1))
%Y A215698 Cf. A215047, A215048, A215049, A215050, A215051, A215057, A215058.
%K A215698 nonn
%O A215698 1,3
%A A215698 _Henryk Dabrowski_, Aug 21 2012