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Squarefree numbers that are not primorials.
1

%I #15 Feb 16 2024 15:23:01

%S 3,5,7,10,11,13,14,15,17,19,21,22,23,26,29,31,33,34,35,37,38,39,41,42,

%T 43,46,47,51,53,55,57,58,59,61,62,65,66,67,69,70,71,73,74,77,78,79,82,

%U 83,85,86,87,89,91,93,94,95,97,101,102,103,105,106,107,109,110

%N Squarefree numbers that are not primorials.

%C Squarefree k such that the smallest nondivisor prime is less than the greatest prime factor, i.e., A053669(k) < A006530(k).

%C Contains odd primes.

%C Superset of A366413.

%C The number 42 is here but missing from A087246.

%H Michael De Vlieger, <a href="/A366882/b366882.txt">Table of n, a(n) for n = 1..10000</a>

%F Set difference of A005117 and A002110.

%t With[{s = 6}, Complement[Select[Range[Max[#] ], SquareFreeQ], #] &@ FoldList[Times, 1, Prime@ Range[s] ] ]

%Y Cf. A002110, A005117, A006530, A053669, A087246, A366413.

%K nonn,easy

%O 1,1

%A _Michael De Vlieger_, Feb 08 2024