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 A351382 #38 Aug 12 2023 14:55:56 %S A351382 7566,9086,10506,15170,17170,18734,18886,18906,19670,20306,20586, %T A351382 21594,21606,22630,23218,23694,23902,25070,25466,25670,26466,26554, %U A351382 26610,27714,28302,28614,29562,30514,30710,32054,32154,32334,34238,34706,35014,37114,38590,39354 %N A351382 Products of four distinct primes between sphenic numbers (products of 3 distinct primes). %C A351382 Numbers with at least one prime exponent greater than 1 are excluded here. %e A351382 7566 = 2*3*13*97 (between 7565 = 5 * 17 * 89 and 7567 = 7*23*47). %e A351382 9086 = 2*7*11*59 (between 9085 = 5 * 23 * 79 and 9087 = 3*13*233). %e A351382 10506 = 2*3*17*103 (between 10505 = 5 * 11 * 191 and 10507 = 7*19*79). %e A351382 15170 = 2*5*37*41 (between 15169 = 7 * 11 * 197 and 15171 = 3*13*389). %t A351382 q[n_, m_] := Module[{f = FactorInteger[n]}, Length[f] == m && Max[f[[;; , 2]]] == 1]; Select[Range[40000], q[#, 4] && q[# - 1, 3] && q[# + 1, 3] &] (* _Amiram Eldar_, Mar 28 2022 *) %Y A351382 Cf. A007304. %K A351382 nonn %O A351382 1,1 %A A351382 _Massimo Kofler_, Mar 28 2022