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A318719
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Heinz numbers of strict integer partitions in which no two parts are relatively prime.
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16
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1, 2, 3, 5, 7, 11, 13, 17, 19, 21, 23, 29, 31, 37, 39, 41, 43, 47, 53, 57, 59, 61, 65, 67, 71, 73, 79, 83, 87, 89, 91, 97, 101, 103, 107, 109, 111, 113, 115, 127, 129, 131, 133, 137, 139, 149, 151, 157, 159, 163, 167, 173, 179, 181, 183, 185, 191, 193, 197
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OFFSET
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1,2
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COMMENTS
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The Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k).
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LINKS
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MATHEMATICA
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Select[Range[200], And[SquareFreeQ[#], And@@(GCD[##]>1&)@@@Select[Tuples[PrimePi/@FactorInteger[#][[All, 1]], 2], Less@@#&]]&]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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