

A054570


Prime number spiral (clockwise, West spoke).


8



2, 19, 83, 199, 389, 641, 967, 1361, 1823, 2377, 3001, 3709, 4517, 5419, 6353, 7477, 8623, 9791, 11159, 12577, 14083, 15667, 17417, 19273, 21149, 23063, 25229, 27431, 29683, 32183, 34543, 37171, 39877, 42641, 45599, 48673, 51719, 54973, 58171
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OFFSET

0,1


LINKS

Ivan Panchenko, Table of n, a(n) for n = 0..1000


FORMULA

8spoke wheel overlays prime number spiral; hub is 2 in shell 0; 8 spokes radiate from this hub; this is West, clockwise.
a(n) = A000040(A033951(n)).  R. J. Mathar, Aug 29 2018


EXAMPLE

Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, West.
From Omar E. Pol, Feb 19 2022: (Start)
The spiral with four terms in every spoke looks like this:
.
227 101103107109113127
  
223 97 29313741 131
    
211 89 23 35 43 137
      
199 83 19 2 7 47 139
     
197 79 171311 53 149
   
193 7371676159 151
 
191181179173167163157
.
(End)


MATHEMATICA

Table[ Prime[4n^2 + 3n + 1], {n, 0, 40} ]


CROSSREFS

Cf. A033951, A054551, A054553, A054555, A054564, A054566, A054570, A053999.
Sequence in context: A240280 A327820 A331898 * A135436 A056005 A034572
Adjacent sequences: A054567 A054568 A054569 * A054571 A054572 A054573


KEYWORD

easy,nonn


AUTHOR

Enoch Haga and G. L. Honaker, Jr., Apr 10 2000


EXTENSIONS

Edited by Frank Ellermann, Feb 24 2002


STATUS

approved



