This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A073489 #14 Aug 29 2021 15:28:33 %S A073489 1870,2090,2470,2530,2990,3190,3410,3458,3770,3910,4030,4070,4186, %T A073489 4510,4730,4810,4930,5170,5187,5270,5278,5330,5474,5510,5590,5642, %U A073489 5830,5890,6110,6279,6290,6490,6710,6734,6890,6902,6970,7030,7130,7310,7370,7378 %N A073489 Squarefree numbers having exactly three prime gaps. %H A073489 Amiram Eldar, <a href="/A073489/b073489.txt">Table of n, a(n) for n = 1..10000</a> %F A073489 A073484(a(n)) = 3. %e A073489 1870 is a term, as 1870 = 2*5*11*17 = with three gaps: between 2 and 5, between 5 and 11 and between 11 and 17. %t A073489 q[n_] := SequenceCount[FactorInteger[n][[;; , 1]], {p1_, p2_} /; p2 != NextPrime[p1], Overlaps -> True] == 3; Select[Range[7500], SquareFreeQ[#] && q[#] &] (* _Amiram Eldar_, Apr 10 2021 *) %t A073489 sfQ[n_]:=SquareFreeQ[n]&&Total[Boole[NextPrime[#[[1]]]!=#[[2]]&/@ Partition[ FactorInteger[n][[All,1]],2,1]]]==3; Select[Range[7500],sfQ] (* _Harvey P. Dale_, Aug 29 2021 *) %Y A073489 Cf. A005117, A073484, A073486, A073488, A073495. %K A073489 nonn %O A073489 1,1 %A A073489 _Reinhard Zumkeller_, Aug 03 2002