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 A375263 #7 Aug 16 2024 23:15:06 %S A375263 85085,1062347,13710311357,7260418981910177,1070581737243007155797, %T A375263 2766839311485334046837,4100268039496291731347,5485857138434357935487, %U A375263 160955606471252225494877,518874528458711923617827,62276368576118330117536697,124939289421198925662649757,129296510584439756429395217 %N A375263 Products of prime 5-tuples (p, p+2, p+6, p+8, p+12) where p = A022006(n). %C A375263 Subsequence of A046387. %C A375263 Aside from a(1) = 85085 = 5 (mod 30), all terms are congruent to 17 (mod 30), since a(k), k > 2 is a product m of the following residues (mod 30): {11, 13, 17, 19, 23}, and m mod 30 is congruent to 17. %H A375263 Michael De Vlieger, <a href="/A375263/b375263.txt">Table of n, a(n) for n = 1..10000</a> %t A375263 Map[Times @@ NextPrime[#, Range[0, 4]] &, Select[Prime@ Range[2^16], AllTrue[{# + 2, # + 6, # + 8, # + 12}, PrimeQ] &]] %Y A375263 Cf. A022006, A046387, A375264. %K A375263 nonn %O A375263 1,1 %A A375263 _Michael De Vlieger_, Aug 16 2024