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.

A054553 Prime number spiral (clockwise, Northeast spoke).

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%I A054553 #33 Sep 08 2022 08:45:01
%S A054553 2,5,41,127,269,467,751,1093,1523,2027,2621,3299,4007,4861,5749,6763,
%T A054553 7867,9041,10273,11719,13121,14723,16319,18061,19963,21851,23857,
%U A054553 26021,28289,30661,33029,35531,38201,40993,43759,46751,49789,52957,56197
%N A054553 Prime number spiral (clockwise, Northeast spoke).
%C A054553 8-spoke wheel overlays prime number spiral; hub is 2 in shell 0; 8 spokes radiate from this hub; this is Northeast, clockwise.
%H A054553 Ivan Panchenko, <a href="/A054553/b054553.txt">Table of n, a(n) for n = 0..1000</a>
%F A054553 a(n) = A000040(A054554(n+1)). - _R. J. Mathar_, Aug 29 2018
%e A054553 Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, Northeast.
%e A054553 From _Omar E. Pol_, Feb 19 2022: (Start)
%e A054553 The spiral with four terms in every spoke looks like this:
%e A054553 .
%e A054553   227  101--103--107--109--113--127
%e A054553    |     |                       |
%e A054553   223   97   29---31---37---41  131
%e A054553    |     |    |              |   |
%e A054553   211   89   23    3----5   43  137
%e A054553    |     |    |    |    |    |   |
%e A054553   199   83   19    2    7   47  139
%e A054553    |     |    |         |    |   |
%e A054553   197   79   17---13---11   53  149
%e A054553    |     |                   |   |
%e A054553   193   73---71---67---61---59  151
%e A054553    |                             |
%e A054553   191--181--179--173--167--163--157
%e A054553 .
%e A054553 (End)
%t A054553 Table[ Prime[4n^2 - 10n + 7], {n, 1, 40} ]
%o A054553 (Magma) [NthPrime(4*n^2 - 10*n + 7): n in [1..40]]; // _Vincenzo Librandi_, Aug 29 2018
%Y A054553 Cf. A000040, A054554, A054551, A054555, A054564, A054566, A054568, A054570, A053999.
%K A054553 easy,nonn
%O A054553 0,1
%A A054553 _Enoch Haga_ and _G. L. Honaker, Jr._, Apr 10 2000
%E A054553 Edited by _Robert G. Wilson v_, Feb 25 2002