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

1,1

Comments

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]

Links

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

Example

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.

Crossrefs

Cf. A007530, A059925, A157967, A047385.

Sequence in context: A250698 A250683 A065326 * A059925 A065327 A234035

Adjacent sequences: A213901 A213902 A213903 * A213905 A213906 A213907

Keyword

nonn

Author

Ray G. Opao, Jun 24 2012

Status

approved