A054566 Prime number spiral (clockwise, South spoke).

2, 13, 67, 173, 347, 577, 877, 1249, 1697, 2243, 2833, 3541, 4289, 5179, 6131, 7159, 8293, 9473, 10799, 12251, 13709, 15289, 16987, 18749, 20681, 22619, 24671, 26839, 29129, 31541, 33911, 36559, 39217, 41981, 44839, 47903, 50989, 54163, 57347

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 South, clockwise.

Links

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

Formula

a(n) = A000040(A054567(n+1)). - Omar E. Pol, Feb 20 2022

Example

Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, South.
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 - 7n + 4], {n, 1, 40} ]

Crossrefs

Cf. A000040, A054567, A054551, A054553, A054555, A054564, A054568, A054570, A053999.

Sequence in context: A137967 A045764 A106999 * A038144 A097977 A136780

Adjacent sequences: A054563 A054564 A054565 * A054567 A054568 A054569

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