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.

A375644 Products of prime 7-tuples (p, p+2, p+6, p+8, p+12, p+18, p+20) where p = A022009(n).

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%I A375644 #6 Sep 11 2024 00:40:38
%S A375644 955049953,3431222498061314276004949808559579043,
%T A375644 1592283266230831269579139040471681157252043,
%U A375644 33803301949073251156918712397722608580666560525843,241497625199060263864928600741562805703424517481233,742885427216897360827893410354065761987031315800313,1822898255205545910397244861266569904193155136678473
%N A375644 Products of prime 7-tuples (p, p+2, p+6, p+8, p+12, p+18, p+20) where p = A022009(n).
%C A375644 Primes p in A022009 belong to 11 (mod 210), therefore a(n) is congruent to the product of residues {11, 13, 17, 19, 23, 29, 31} (mod 210), hence a(n) is congruent to 193 (mod 210).
%C A375644 Gaps between prime factors are {2, 4, 2, 4, 6, 2}.
%H A375644 Michael De Vlieger, <a href="/A375644/b375644.txt">Table of n, a(n) for n = 1..10000</a>
%t A375644 Map[Times @@ NextPrime[#, Range[0, 6]] &, Select[Prime@ Range[2^20], AllTrue[# + {2, 6, 8, 12, 18, 20}, PrimeQ] &]]
%Y A375644 Cf. A022009, A082369, A375645.
%K A375644 nonn
%O A375644 1,1
%A A375644 _Michael De Vlieger_, Aug 23 2024