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%I A054564 #24 Feb 19 2022 13:06:35
%S A054564 2,11,59,157,313,547,829,1201,1621,2153,2749,3463,4217,5059,6011,7001,
%T A054564 8167,9343,10631,12071,13513,15107,16759,18481,20399,22343,24371,
%U A054564 26591,28807,31231,33617,36229,38891,41647,44501,47533,50549,53759,56957
%N A054564 Prime number spiral (clockwise, Southeast spoke).
%C A054564 8-spoke wheel overlays prime number spiral; hub is 2 in shell 0; 8 spokes radiate from this hub; this is Southeast, clockwise.
%H A054564 Ivan Panchenko, <a href="/A054564/b054564.txt">Table of n, a(n) for n = 0..1000</a>
%F A054564 a(n) = A000040(A053755(n)). - _R. J. Mathar_, Aug 29 2018
%e A054564 Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, Southeast.
%e A054564 From _Omar E. Pol_, Feb 19 2022: (Start)
%e A054564 The spiral with four terms in every spoke looks like this:
%e A054564 .
%e A054564   227  101--103--107--109--113--127
%e A054564    |     |                       |
%e A054564   223   97   29---31---37---41  131
%e A054564    |     |    |              |   |
%e A054564   211   89   23    3----5   43  137
%e A054564    |     |    |    |    |    |   |
%e A054564   199   83   19    2    7   47  139
%e A054564    |     |    |         |    |   |
%e A054564   197   79   17---13---11   53  149
%e A054564    |     |                   |   |
%e A054564   193   73---71---67---61---59  151
%e A054564    |                             |
%e A054564   191--181--179--173--167--163--157
%e A054564 .
%e A054564 (End)
%t A054564 Table[ Prime[4n^2 + 1], {n, 0, 40} ]
%Y A054564 Cf. A053755, A054551, A054553, A054555, A054566, A054568, A054570, A053999.
%K A054564 easy,nonn
%O A054564 0,1
%A A054564 _Enoch Haga_ and _G. L. Honaker, Jr._, Apr 10 2000
%E A054564 Edited by _Frank Ellermann_, Feb 24 2002

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