%I #21 Feb 19 2022 12:49:53
%S 2,19,83,199,389,641,967,1361,1823,2377,3001,3709,4517,5419,6353,7477,
%T 8623,9791,11159,12577,14083,15667,17417,19273,21149,23063,25229,
%U 27431,29683,32183,34543,37171,39877,42641,45599,48673,51719,54973,58171
%N Prime number spiral (clockwise, West spoke).
%H Ivan Panchenko, <a href="/A054570/b054570.txt">Table of n, a(n) for n = 0..1000</a>
%F 8-spoke wheel overlays prime number spiral; hub is 2 in shell 0; 8 spokes radiate from this hub; this is West, clockwise.
%F a(n) = A000040(A033951(n)). - _R. J. Mathar_, Aug 29 2018
%e Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, West.
%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 + 3n + 1], {n, 0, 40} ]
%Y Cf. A033951, A054551, A054553, A054555, A054564, A054566, 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