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.

A213904 a(n) is the initial member of the least pair of prime quadruples (of the form p, p+2, p+6, p+8) with a difference of 30*n, with no other prime quadruple between the pair.

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%I A213904 #22 Jun 17 2013 15:20:13
%S A213904 1006301,0,11,1022381,0,3512051,1871,632081,0,1121831,15731,0,1481,
%T A213904 1155611,1068251,0,18911,284741,0,12390011,191,821,0,3837131,875261,0,
%U A213904 854921,10865291,18041,0,958541,680291,0,299471,1063961,663581,0,165701
%N A213904 a(n) is the initial member of the least pair of prime quadruples (of the form p, p+2, p+6, p+8) with a difference of 30*n, with no other prime quadruple between the pair.
%C A213904 a(n) is 0 if no such pair of prime quadruples is conjectured to exist for the indicated difference.
%C A213904 When n is congruent to 2 or 5 mod 7 (A047385) no solution exists because one of the terms is divisible by 7. [_Jud McCranie_, Jun 17 2013]
%H A213904 Jud McCranie, <a href="/A213904/b213904.txt">Table of n, a(n) for n = 1..10000</a>
%e A213904 For n=3, a(3)=11, since 11, 13, 17, 19 is a prime quadruple. The next prime quadruple is 101, 103, 107, 109. The difference 101-11=90, which is equal to 30*3.
%Y A213904 Cf. A007530, A059925, A157967, A047385.
%K A213904 nonn
%O A213904 1,1
%A A213904 _Ray G. Opao_, Jun 24 2012