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 A054564 Prime number spiral (clockwise, Southeast spoke). 8
 2, 11, 59, 157, 313, 547, 829, 1201, 1621, 2153, 2749, 3463, 4217, 5059, 6011, 7001, 8167, 9343, 10631, 12071, 13513, 15107, 16759, 18481, 20399, 22343, 24371, 26591, 28807, 31231, 33617, 36229, 38891, 41647, 44501, 47533, 50549, 53759, 56957 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS 8-spoke wheel overlays prime number spiral; hub is 2 in shell 0; 8 spokes radiate from this hub; this is Southeast, clockwise. LINKS Ivan Panchenko, Table of n, a(n) for n = 0..1000 FORMULA a(n) = A000040(A053755(n)). - R. J. Mathar, Aug 29 2018 EXAMPLE Begin a prime number spiral at shell 0 (prime 2), proceed clockwise, Southeast. 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 + 1], {n, 0, 40} ] CROSSREFS Cf. A053755, A054551, A054553, A054555, A054566, A054568, A054570, A053999. Sequence in context: A020057 A363646 A210646 * A280674 A139172 A228868 Adjacent sequences: A054561 A054562 A054563 * A054565 A054566 A054567 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 February 21 03:13 EST 2024. Contains 370219 sequences. (Running on oeis4.)