

A257330


Construct spiral of numbers on square grid as in Comments; sequence gives terms along the "3" arm.


5



3, 4, 17, 29, 31, 41, 49, 33, 61, 18, 73, 51, 77, 57, 28, 109, 34, 127, 38, 87, 62, 157, 40, 163, 169, 175, 187, 193, 64, 209, 203, 221, 227, 239, 153, 245, 171, 269, 177, 281, 293, 299, 189, 313, 201, 106, 207, 70, 219, 100, 347, 84, 361, 96, 379, 243, 391
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OFFSET

1,1


COMMENTS

Place numbers 2,3,5,7 clockwise around a grid point (see illustrations in links). Divide grid into four spiral arms.
Extend each arm one step at a time, in rotation: first the 2 arm, then the 3 arm, then the 5 arm, then the 7 arm, then the 2 arm, etc.
Rule for extending: next term in arm is smallest number such that each cell in the grid is relatively prime to its eight neighbors. Every term in the entire grid must be different.
The four arms are A257329, A257330, A257331, A257332.
Conjecture: every number > 1 appears in one of the four arms.


LINKS

Lars Blomberg, Table of n, a(n) for n = 1..10000
Popular Computing (Calabasas, CA), Problem 146: Gcd, Vol. 4 (No. 45, Dec 1976), page PC454.
N. J. A. Sloane, Spirals showing initial terms of A257321A257332


CROSSREFS

Cf. A064413, A257321A257340, A257347 (the union list).
Sequence in context: A082000 A100434 A096876 * A115388 A187995 A296277
Adjacent sequences: A257327 A257328 A257329 * A257331 A257332 A257333


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Apr 21 2015


EXTENSIONS

More terms from Lars Blomberg, Apr 27 2015


STATUS

approved



