A054553 Prime number spiral (clockwise, Northeast spoke).

2, 5, 41, 127, 269, 467, 751, 1093, 1523, 2027, 2621, 3299, 4007, 4861, 5749, 6763, 7867, 9041, 10273, 11719, 13121, 14723, 16319, 18061, 19963, 21851, 23857, 26021, 28289, 30661, 33029, 35531, 38201, 40993, 43759, 46751, 49789, 52957, 56197

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 Northeast, clockwise.

Links

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

Formula

a(n) = A000040(A054554(n+1)). - R. J. Mathar, Aug 29 2018

Example

Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, Northeast.
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 - 10n + 7], {n, 1, 40} ]

Prog

(Magma) [NthPrime(4*n^2 - 10*n + 7): n in [1..40]]; // Vincenzo Librandi, Aug 29 2018

Crossrefs

Cf. A000040, A054554, A054551, A054555, A054564, A054566, A054568, A054570, A053999.

Sequence in context: A072439 A286560 A002592 * A185052 A088547 A009457

Adjacent sequences: A054550 A054551 A054552 * A054554 A054555 A054556

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