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A054566 Prime number spiral (clockwise, South spoke). 9
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 (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 South, clockwise.
LINKS
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
Sequence in context: A137967 A045764 A106999 * A038144 A097977 A136780
KEYWORD
easy,nonn
AUTHOR
EXTENSIONS
Edited by Robert G. Wilson v, Feb 25 2002
STATUS
approved

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