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 A122280 a(1) = 1, a(2) = 2; for n >= 3, a(n) = the smallest positive integer not occurring earlier in the sequence such that gcd(a(n-1), a(n)) is a prime. 4
 1, 2, 4, 6, 3, 9, 12, 10, 5, 15, 18, 8, 14, 7, 21, 24, 22, 11, 33, 27, 30, 16, 26, 13, 39, 36, 34, 17, 51, 42, 20, 25, 35, 28, 38, 19, 57, 45, 40, 46, 23, 69, 48, 50, 32, 54, 44, 55, 60, 58, 29, 87, 63, 49, 56, 62, 31, 93, 66, 52, 65, 70, 64, 74, 37, 111, 72, 75, 78, 68, 82, 41 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS N. J. A. Sloane, Table of n, a(n) for n = 1..5002 [Computed using Ray Chandler's Mma program] MATHEMATICA f[s_] := Block[{k = 1}, While[MemberQ[s, k] || ! PrimeQ[GCD[Last[s], k]], k++ ]; Append[s, k] ]; Nest[f, {1, 2}, 75] (* Ray Chandler, Aug 30 2006 *) CROSSREFS Cf. A122281, A064413. Sequence in context: A064413 A255348 A336946 * A291577 A338059 A258105 Adjacent sequences:  A122277 A122278 A122279 * A122281 A122282 A122283 KEYWORD nonn AUTHOR Leroy Quet, Aug 29 2006 EXTENSIONS Extended by Ray Chandler and Klaus Brockhaus, Aug 30 2006 STATUS approved

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Last modified January 27 05:19 EST 2021. Contains 340451 sequences. (Running on oeis4.)