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A336443 Primitive terms of A336442: terms k of A336442 such that none of the proper divisors of k are in A336442. 3
60, 140, 210, 315, 462, 504, 616, 693, 728, 770, 792, 819, 910, 936, 990, 1001, 1092, 1144, 1170, 1287, 1430, 1530, 1683, 1716, 1870, 1989, 2090, 2142, 2145, 2210, 2244, 2431, 2448, 2470, 2508, 2618, 2652, 2717, 2805, 2926, 2964, 2992, 3094, 3135, 3230, 3315 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Any term of A336442 is a multiple of at least one term of this sequence.

LINKS

David A. Corneth, Table of n, a(n) for n = 1..10347

EXAMPLE

60 is a term since it is a term of A336442 but none of its proper divisors are in A336442.

120 is not a term: although it is in A336442, it is a multiple of 60 which is also a term of A336442.

MATHEMATICA

divQ[n_] := AnyTrue[Subsets[Divisors[n], {3}], And @@ CoprimeQ @@@ Subsets[#, {2}] && #[[3]] < 2 #[[1]] &]; primQ[n_] := divQ[n] && AllTrue[Most[Divisors[n]], ! divQ[#] &]; Select[Range[3333], primQ]

CROSSREFS

Analogous to A302022 as A336442 is analogous to A005279.

Sequence in context: A246474 A334407 A336628 * A252954 A221990 A043478

Adjacent sequences:  A336440 A336441 A336442 * A336444 A336445 A336446

KEYWORD

nonn

AUTHOR

Amiram Eldar, Jul 21 2020

STATUS

approved

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Last modified January 17 22:33 EST 2022. Contains 350410 sequences. (Running on oeis4.)