A054568 Prime number spiral (clockwise, Southwest spoke).

2, 17, 73, 191, 367, 607, 919, 1297, 1753, 2309, 2909, 3623, 4421, 5303, 6257, 7307, 8447, 9643, 10979, 12421, 13883, 15467, 17203, 19037, 20921, 22853, 24953, 27091, 29389, 31859, 34267, 36847, 39551, 42307, 45233, 48311, 51407, 54547, 57781

Offset

0,1

Links

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

Formula

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

a(n) = A000040(A054569(n+1)). - R. J. Mathar, Aug 29 2018

Example

Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, Southwest.
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 - 6n + 3], {n, 1, 40} ]

Crossrefs

Cf. A054569, A054551, A054553, A054555, A054564, A054566, A054570, A053999.

Sequence in context: A338088 A155715 A307851 * A338087 A235471 A297411

Adjacent sequences: A054565 A054566 A054567 * A054569 A054570 A054571

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