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%I #9 Oct 27 2018 01:07:56
%S 15,30,33,35,45,51,55,60,66,69,70,75,77,85,90,91,93,95,99,102,105,110,
%T 119,120,123,132,135,138,140,141,143,145,150,153,154,155,161,165,170,
%U 175,177,180,182,186,187,190,195,198,201,203,204,205,207,209,210,215
%N Numbers whose consecutive prime indices are not all divisible.
%H Andrew Howroyd, <a href="/A318992/b318992.txt">Table of n, a(n) for n = 1..10000</a>
%e 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).
%t Select[Range[100],!Or[#==1,PrimePowerQ[#],Divisible@@Reverse[PrimePi/@FactorInteger[#][[All,1]]]]&]
%o (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
%Y Cf. A000040, A001221, A001222, A008480, A289509, A300912, A318990, A318991, A318993.
%K nonn
%O 1,1
%A _Gus Wiseman_, Sep 06 2018