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 A222294 Least k such that a term of the Collatz (3x+1) iteration of k is divisible by prime(n). 1
 2, 3, 3, 7, 7, 7, 7, 19, 15, 19, 27, 37, 27, 43, 27, 15, 39, 27, 39, 27, 73, 27, 27, 27, 63, 39, 27, 27, 109, 75, 127, 87, 27, 123, 99, 151, 123, 163, 27, 115, 79, 27, 127, 171, 87, 199, 187, 223, 151, 135, 27, 159, 241, 27, 171, 27, 79, 271, 277, 187, 27, 27, 307 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Note that a(n) <= prime(n). The following primes require the maximum number of iterations: 2, 3, 7, 19, 37, 43, 73, 109, 127,... LINKS T. D. Noe, Table of n, a(n) for n = 1..1000 MATHEMATICA Collatz[n_] := NestWhileList[If[EvenQ[#], #/2, 3 # + 1] &, n, # > 1 &]; Table[p = Prime[n]; k = 1; While[Select[Collatz[k], Mod[#, p] == 0 &] == {}, k++]; k, {n, 100}] CROSSREFS Cf. A070165. Sequence in context: A210234 A209768 A209169 * A181850 A335050 A062761 Adjacent sequences: A222291 A222292 A222293 * A222295 A222296 A222297 KEYWORD nonn AUTHOR T. D. Noe, Feb 22 2013 STATUS approved

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Last modified April 21 19:32 EDT 2024. Contains 371885 sequences. (Running on oeis4.)