cp's OEIS Frontend

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.

A375418 Products of prime 6-tuples (p, p+4, p+6, p+10, p+12, p+16) where p = A022008(n).

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%I A375418 #6 Aug 17 2024 09:16:35
%S A375418 7436429,1329900201629,17190330954910965900632429,
%T A375418 53723718911110731187434029,7046153584492008675489230429,
%U A375418 1688812201738097614580773379554136429,17799106117345926490096695600218208629,55722944657811823198723449024051143429,505827208840254150110614056219371285429
%N A375418 Products of prime 6-tuples (p, p+4, p+6, p+10, p+12, p+16) where p = A022008(n).
%C A375418 Subsequence of A067885.
%C A375418 All terms are congruent to -1 (mod 30), since they are a product of the following residues (mod 30): {7, 11, 13, 17, 19, 23}.
%C A375418 All terms but the first are congruent to -1 (mod 210), since they are a product of the following residues (mod 210): {97, 101, 103, 107, 109, 113}; a(1) mod 210 = 119.
%H A375418 Michael De Vlieger, <a href="/A375418/b375418.txt">Table of n, a(n) for n = 1..10000</a>
%t A375418 Map[Times @@ NextPrime[#, Range[0, 5]] &, Select[Prime@ Range[2^20], AllTrue[{# + 4, # + 6, # + 10, # + 12, # + 16}, PrimeQ] &]]
%Y A375418 Cf. A022008, A067885.
%K A375418 nonn
%O A375418 1,1
%A A375418 _Michael De Vlieger_, Aug 16 2024