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A054564 Prime number spiral (clockwise, Southeast spoke). 8
2, 11, 59, 157, 313, 547, 829, 1201, 1621, 2153, 2749, 3463, 4217, 5059, 6011, 7001, 8167, 9343, 10631, 12071, 13513, 15107, 16759, 18481, 20399, 22343, 24371, 26591, 28807, 31231, 33617, 36229, 38891, 41647, 44501, 47533, 50549, 53759, 56957 (list; graph; refs; listen; history; text; internal format)
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 Southeast, clockwise.
LINKS
FORMULA
a(n) = A000040(A053755(n)). - R. J. Mathar, Aug 29 2018
EXAMPLE
Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, Southeast.
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 + 1], {n, 0, 40} ]
CROSSREFS
Sequence in context: A020057 A363646 A210646 * A280674 A139172 A228868
KEYWORD
easy,nonn
AUTHOR
EXTENSIONS
Edited by Frank Ellermann, Feb 24 2002
STATUS
approved

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Last modified February 21 03:13 EST 2024. Contains 370219 sequences. (Running on oeis4.)