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A053999
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Prime number spiral (clockwise, Northwest spoke).
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8
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2, 23, 97, 227, 419, 661, 1009, 1427, 1879, 2437, 3083, 3803, 4637, 5519, 6481, 7573, 8737, 9931, 11321, 12743, 14327, 15877, 17609, 19471, 21391, 23327, 25469, 27739, 30047, 32429, 34849, 37501, 40231, 42943, 45989, 49037, 52121, 55381, 58579
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,1
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COMMENTS
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Largest 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.
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LINKS
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Table of n, a(n) for n=0..38.
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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 Northwest, clockwise
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EXAMPLE
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Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, Northwest
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MATHEMATICA
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Table[ Prime[4n^2 + 4n + 1], {n, 0, 40} ]
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CROSSREFS
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Cf. A016754, A054551, A054553, A054555, A054564, A054566, A054566, A054570.
Sequence in context: A099134 A069152 A131464 * A131176 A141405 A068876
Adjacent sequences: A053996 A053997 A053998 * A054000 A054001 A054002
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga and G. L. Honaker, Jr., Apr 10 2000
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EXTENSIONS
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Edited by Robert G. Wilson v, Feb 25 2002
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STATUS
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approved
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