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A054551 Prime number spiral (clockwise, North spoke). 8
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 (list; graph; refs; listen; history; internal format)
OFFSET

0,1

COMMENTS

Smallest prime in n-th shell of prime spiral.

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

Hermetic Systems, Prime Number Spiral.

FORMULA

8-spoke wheel overlays prime number spiral; hub is 2 in shell 0; 8 spokes radiate from this hub; this is North, clockwise.

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 A128030 A004843

Adjacent sequences:  A054548 A054549 A054550 * A054552 A054553 A054554

KEYWORD

easy,nonn

AUTHOR

Enoch Haga (Enokh(AT)comcast.net) and G. L. Honaker, Jr. (honak3r(AT)gmail.com) Apr 09 2000

EXTENSIONS

Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 25 2002

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Last modified February 15 20:26 EST 2012. Contains 205852 sequences.