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 A302697 Odd numbers whose prime indices are relatively prime. Heinz numbers of integer partitions with no 1's and with relatively prime parts. 6
 15, 33, 35, 45, 51, 55, 69, 75, 77, 85, 93, 95, 99, 105, 119, 123, 135, 141, 143, 145, 153, 155, 161, 165, 175, 177, 187, 195, 201, 205, 207, 209, 215, 217, 219, 221, 225, 231, 245, 249, 253, 255, 265, 275, 279, 285, 287, 291, 295, 297, 309, 315, 323, 327, 329 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A prime index of n is a number m such that prime(m) divides n. The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k). LINKS EXAMPLE Sequence of integer partitions with no 1's and with relatively prime parts begins: 015: (3,2) 033: (5,2) 035: (4,3) 045: (3,2,2) 051: (7,2) 055: (5,3) 069: (9,2) 075: (3,3,2) 077: (5,4) 085: (7,3) 093: (11,2) 095: (8,3) 099: (5,2,2) 105: (4,3,2) 119: (7,4) 123: (13,2) 135: (3,2,2,2) MATHEMATICA primeMS[n_]:=If[n===1, {}, Flatten[Cases[FactorInteger[n], {p_, k_}:>Table[PrimePi[p], {k}]]]]; Select[Range[1, 200, 2], GCD@@primeMS[#]===1&] CROSSREFS Cf. A000837, A000961, A001222, A005117, A007359, A051424, A076078, A101268, A275024, A285572, A289509, A298748, A302568, A302569, A302696, A302698. Sequence in context: A331551 A180815 A177204 * A154369 A243592 A089966 Adjacent sequences:  A302694 A302695 A302696 * A302698 A302699 A302700 KEYWORD nonn AUTHOR Gus Wiseman, Apr 11 2018 STATUS approved

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Last modified February 20 07:28 EST 2020. Contains 332067 sequences. (Running on oeis4.)