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 A378097 #18 Dec 03 2024 12:23:13
%S A378097 43890,51870,84630,102102,140070,149730,153510,168630,224070,251790,
%T A378097 269178,281190,308490,316470,317730,322770,355110,376530,381990,
%U A378097 383838,389298,404430,432390,434010,459030,467670,486330,487830,496230,506730,520410,531570,545790,552090,560490,573342,576030,583338
%N A378097 Products of 6 distinct primes that are sandwiched between twin prime numbers.
%C A378097 All the terms are divisible by 6.
%e A378097 43890 is in the sequence a term because 43890=2*3*5*7*11*19 is the product of six distinct primes and 43889, 43891 are a couple of twin primes.
%e A378097 51870 is in the sequence a term because 51870=2*3*5*7*13*19 is the product of six distinct primes and 51869, 51871 are a couple of twin primes.
%t A378097 Select[6 * Range[10^5], PrimeQ[#-1] && PrimeQ[#+1] && FactorInteger[#][[;;, 2]] == {1,1,1,1,1,1} &] (* _Amiram Eldar_, Nov 16 2024 *)
%Y A378097 Intersection of A014574 and A067885.
%Y A378097 Cf. A083207 (supersequence), A353022, A376380.
%K A378097 nonn
%O A378097 1,1
%A A378097 _Massimo Kofler_, Nov 16 2024