A157967 -id:A157967 - cp's OEIS frontend

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.

1006301, 0, 11, 1022381, 0, 3512051, 1871, 632081, 0, 1121831, 15731, 0, 1481, 1155611, 1068251, 0, 18911, 284741, 0, 12390011, 191, 821, 0, 3837131, 875261, 0, 854921, 10865291, 18041, 0, 958541, 680291, 0, 299471, 1063961, 663581, 0, 165701

Offset: 1

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Ray G. Opao, Jun 24 2012

nonn

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

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]

			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.

Jud McCranie, Table of n, a(n) for n = 1..10000

Cf. A007530, A059925, A157967, A047385.

cp's OEIS Frontend

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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