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A054570 Prime number spiral (clockwise, West spoke). 8
2, 19, 83, 199, 389, 641, 967, 1361, 1823, 2377, 3001, 3709, 4517, 5419, 6353, 7477, 8623, 9791, 11159, 12577, 14083, 15667, 17417, 19273, 21149, 23063, 25229, 27431, 29683, 32183, 34543, 37171, 39877, 42641, 45599, 48673, 51719, 54973, 58171 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Ivan Panchenko, Table of n, a(n) for n = 0..1000

FORMULA

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

a(n) = A000040(A033951(n)). - R. J. Mathar, Aug 29 2018

EXAMPLE

Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, West.

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 + 3n + 1], {n, 0, 40} ]

CROSSREFS

Cf. A033951, A054551, A054553, A054555, A054564, A054566, A054570, A053999.

Sequence in context: A240280 A327820 A331898 * A135436 A056005 A034572

Adjacent sequences: A054567 A054568 A054569 * A054571 A054572 A054573

KEYWORD

easy,nonn

AUTHOR

Enoch Haga and G. L. Honaker, Jr., Apr 10 2000

EXTENSIONS

Edited by Frank Ellermann, Feb 24 2002

STATUS

approved

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Last modified November 28 12:20 EST 2022. Contains 358416 sequences. (Running on oeis4.)