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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
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 22 22:16 EST 2020. Contains 331166 sequences. (Running on oeis4.)