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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. 1

%I #22 Jun 17 2013 15:20:13

%S 1006301,0,11,1022381,0,3512051,1871,632081,0,1121831,15731,0,1481,

%T 1155611,1068251,0,18911,284741,0,12390011,191,821,0,3837131,875261,0,

%U 854921,10865291,18041,0,958541,680291,0,299471,1063961,663581,0,165701

%N 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 a(n) is 0 if no such pair of prime quadruples is conjectured to exist for the indicated difference.

%C 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 Jud McCranie, <a href="/A213904/b213904.txt">Table of n, a(n) for n = 1..10000</a>

%e 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 Cf. A007530, A059925, A157967, A047385.

%K nonn

%O 1,1

%A _Ray G. Opao_, Jun 24 2012

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