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