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Search: id:A054551
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| A054551 |
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Prime number spiral (clockwise, North spoke). |
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+0
9
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| 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; listen)
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OFFSET
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0,1
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COMMENT
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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.
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LINKS
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Hermetic Systems, Prime Number Spiral.
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FORMULA
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8-spoke wheel overlays prime number spiral; hub is 2 in shell 0; 8 spokes radiate from this hub; this is North, clockwise.
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EXAMPLE
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Begin a prime number spiral at zero, proceed clockwise, North
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MATHEMATICA
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Table[ Prime[4n^2 - 3n + 1], {n, 0, 40} ]
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CROSSREFS
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Cf. A054552, A054553, A054555, A054564, A054566, A054568, A054570, A053999.
Adjacent sequences: A054548 A054549 A054550 this_sequence A054552 A054553 A054554
Sequence in context: A110456 A128348 A029973 this_sequence A049065 A128030 A004843
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net) and G. L. Honaker, Jr. (honak3r(AT)gmail.com) Apr 09 2000
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 25 2002
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