A098418 Number of prime triples (p,q,r) with p<q<r=p+6, containing the n-th prime.

0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset

1,4

Comments

0 <= a(n) <= 3;

a(A098419(n))=0; a(A098420(n))>0; a(A098421(n))=1; a(A098422(n))=2; a(A098423(n))=3.

Links

Table of n, a(n) for n=1..105.

Eric Weisstein's World of Mathematics, Prime Triplet

Example

A000040(13)=41: A007529(7)=41, A098414(6)=41 and
A098415(k)<>41 for all k, therefore a(13)=2.

Crossrefs

Cf. A007529, A098414, A098415.

Sequence in context: A062745 A140733 A143605 * A364367 A128080 A062187

Adjacent sequences: A098415 A098416 A098417 * A098419 A098420 A098421

Keyword

nonn

Author

Reinhard Zumkeller, Sep 07 2004

Status

approved