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 A298748 Heinz numbers of aperiodic (relatively prime multiplicities) integer partitions with relatively prime parts. 25
 2, 6, 10, 12, 14, 15, 18, 20, 22, 24, 26, 28, 30, 33, 34, 35, 38, 40, 42, 44, 45, 46, 48, 50, 51, 52, 54, 55, 56, 58, 60, 62, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 82, 84, 85, 86, 88, 90, 92, 93, 94, 95, 96, 98, 99, 102, 104, 105, 106, 108, 110, 112, 114 (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 Sequence of partitions begins: (1), (21), (31), (211), (41), (32), (221), (311), (51), (2111), (61), (411), (321), (52), (71), (43), (81), (3111), (421), (511), (322), (91), (21111), (331), (72), (611), (2221), (53), (4111). MATHEMATICA Select[Range[100], With[{t=Transpose[FactorInteger[#]]}, And[GCD@@PrimePi/@t[[1]]===1, GCD@@t[[2]]===1]]&] (* Gus Wiseman, Apr 14 2018 *) CROSSREFS Cf. A000740, A000837, A007916, A052410, A064989, A100953, A289508, A289509, A296302, A300272. Sequence in context: A175437 A133520 A099017 * A139799 A214586 A305634 Adjacent sequences:  A298745 A298746 A298747 * A298749 A298750 A298751 KEYWORD nonn AUTHOR Gus Wiseman, Mar 01 2018 STATUS approved

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Last modified February 27 15:59 EST 2020. Contains 332307 sequences. (Running on oeis4.)