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.

A214455 Number of primes of the form x^16 + 1 less than 10^n.

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%I A214455 #10 Jul 19 2012 06:51:59
%S A214455 1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,5,6,6,6,
%T A214455 6,9,11,11,12,14,17,20,26,27,30,34,42,49,53,59,64,68,80,93,101,111,
%U A214455 129,147,169,187,212,235,264,292,329,386,427,483,544,622
%N A214455 Number of primes of the form x^16 + 1 less than 10^n.
%C A214455 It is conjectured that there are infinitely many primes of the form x^16 + 1 (and thus this sequence never becomes constant), but this has not been proved.
%e A214455 a(26) = 2 because the only primes or the form x^16 + 1 < 10^26 are the primes: 2, 65537.
%o A214455 (PARI) a(n) = sum(k=1, (10^n-1)^(1/16), isprime(k^16+1))
%Y A214455 Cf. A083844, A214452, A214454.
%K A214455 nonn
%O A214455 1,5
%A A214455 _Henryk Dabrowski_, Jul 18 2012