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 A318716 Heinz numbers of strict integer partitions with relatively prime parts in which no two parts are relatively prime. 6
 2, 17719, 40807, 43381, 50431, 74269, 83143, 101543, 105703, 116143, 121307, 123469, 139919, 140699, 142883, 171613, 181831, 185803, 191479, 203557, 205813, 211381, 213239, 215267, 219271, 246703, 249587, 249899, 279371, 286897, 289007, 296993, 300847, 303949 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k). LINKS EXAMPLE The sequence of strict integer partitions with Heinz numbers in the sequence begins: (1), (15,10,6), (21,14,6), (20,15,6), (15,12,10), (45,10,6), (18,15,10). MATHEMATICA Select[Range[100000], With[{m=PrimePi/@FactorInteger[#][[All, 1]]}, And[SquareFreeQ[#], GCD@@m==1, And@@(GCD[##]>1&)@@@Select[Tuples[m, 2], Less@@#&]]]&] CROSSREFS Cf. A078374, A289509, A302569, A302696, A302796, A302797, A303140, A303280, A303282, A303283, A305713, A318715, A318718, A318719. Sequence in context: A264944 A242855 A214544 * A260252 A324437 A158344 Adjacent sequences:  A318713 A318714 A318715 * A318717 A318718 A318719 KEYWORD nonn AUTHOR Gus Wiseman, Sep 02 2018 STATUS approved

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Last modified March 30 19:49 EDT 2020. Contains 333127 sequences. (Running on oeis4.)