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A318992
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Numbers whose consecutive prime indices are not all divisible.
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34
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15, 30, 33, 35, 45, 51, 55, 60, 66, 69, 70, 75, 77, 85, 90, 91, 93, 95, 99, 102, 105, 110, 119, 120, 123, 132, 135, 138, 140, 141, 143, 145, 150, 153, 154, 155, 161, 165, 170, 175, 177, 180, 182, 186, 187, 190, 195, 198, 201, 203, 204, 205, 207, 209, 210, 215
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OFFSET
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1,1
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LINKS
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EXAMPLE
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The sequence of partitions whose Heinz numbers belong to the sequence begins: (3,2), (3,2,1), (5,2), (4,3), (3,2,2), (7,2), (5,3), (3,2,1,1), (5,2,1), (9,2), (4,3,1), (3,3,2), (5,4), (7,3), (3,2,2,1), (6,4), (11,2), (8,3), (5,2,2).
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MATHEMATICA
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Select[Range[100], !Or[#==1, PrimePowerQ[#], Divisible@@Reverse[PrimePi/@FactorInteger[#][[All, 1]]]]&]
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PROG
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(PARI) ok(n)={my(v=apply(primepi, factor(n)[, 1])); for(i=2, #v, if(v[i]%v[i-1], return(1))); 0} \\ Andrew Howroyd, Oct 26 2018
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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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