A054555 Prime number spiral (clockwise, East spoke).

2, 7, 47, 139, 283, 503, 797, 1151, 1579, 2089, 2689, 3361, 4099, 4967, 5861, 6883, 8011, 9199, 10457, 11903, 13313, 14887, 16547, 18269, 20161, 22091, 24083, 26297, 28573, 30941, 33347, 35899, 38593, 41299, 44111, 47149, 50131, 53327, 56597

Offset

0,1

Comments

8-spoke wheel overlays prime number spiral; hub is 2 in shell 0; 8 spokes radiate from this hub; this is East, clockwise.

Links

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

Formula

a(n) = A000040(A054556(n+1)). - R. J. Mathar, Aug 29 2018

Example

Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, East.
From Omar E. Pol, Feb 19 2022: (Start)
The spiral with four terms in every spoke looks like this:
.
  227  101--103--107--109--113--127
   |     |                       |
  223   97   29---31---37---41  131
   |     |    |              |   |
  211   89   23    3----5   43  137
   |     |    |    |    |    |   |
  199   83   19    2    7   47  139
   |     |    |         |    |   |
  197   79   17---13---11   53  149
   |     |                   |   |
  193   73---71---67---61---59  151
   |                             |
  191--181--179--173--167--163--157
.
(End)

Mathematica

Table[ Prime[4n^2 - 9n + 6], {n, 1, 40} ]

Crossrefs

Cf. A054556, A054551, A054553, A054564, A054566, A054568, A054570, A053999.

Sequence in context: A062632 A116892 A201481 * A072287 A290488 A276649

Adjacent sequences: A054552 A054553 A054554 * A054556 A054557 A054558

Keyword

easy,nonn

Author

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

Extensions

Edited by Robert G. Wilson v, Feb 25 2002

Status

approved