

A054551


Prime number spiral (clockwise, North spoke).


9



2, 3, 31, 107, 241, 443, 709, 1049, 1471, 1973, 2539, 3191, 3911, 4729, 5651, 6637, 7699, 8867, 10133, 11503, 12941, 14537, 16073, 17863, 19727, 21601, 23609, 25759, 27967, 30319, 32719, 35201, 37831, 40627, 43391, 46399, 49411, 52553, 55813
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OFFSET

0,1


COMMENTS

Smallest prime in nth shell of prime spiral.
8spoke wheel overlays prime number spiral; hub is 2 in shell 0; 8 spokes radiate from this hub; this is North, clockwise.
Shell 1 comprises the primes 3 5 7 11 13 17 19 23; 3 is lowest, 23 is highest.
The wheel may be rotated, but the sequences though pointing in different directions, will remain the same.


LINKS

Ivan Panchenko, Table of n, a(n) for n = 0..1000
Hermetic Systems, Prime Number Spiral.


FORMULA

a(n) = A000040(A054552(n)).  R. J. Mathar, Aug 29 2018


EXAMPLE

Begin a prime number spiral at zero, proceed clockwise, North.


MATHEMATICA

Table[ Prime[4n^2  3n + 1], {n, 0, 40} ]


CROSSREFS

Cf. A054552, A054553, A054555, A054564, A054566, A054568, A054570, A053999.
Sequence in context: A110456 A128348 A029973 * A049065 A274609 A128030
Adjacent sequences: A054548 A054549 A054550 * A054552 A054553 A054554


KEYWORD

easy,nonn


AUTHOR

Enoch Haga and G. L. Honaker, Jr. Apr 09 2000


EXTENSIONS

Edited by Robert G. Wilson v, Feb 25 2002


STATUS

approved



