A261324 Smallest prime p that starts an n-tuplet of consecutive primes of length A008407(n).

2, 3, 5, 3, 5, 7, 11, 11, 7, 5, 5, 11, 11, 11, 11, 7, 13, 13, 13, 29, 29, 7, 7

Offset

1,1

Comments

In contrast to A065688, n-tuplets here may be singular and give the complete set of residues modulo some prime. For example, for n=4 we have the 4-tuplet: (3,5,7,11) = (3,3+2,3+4,3+8), but there are no other prime 4-tuplets of the form (p,p+2,p+4,p+8), since one of its elements would be divisible by 3.

For any n, a(n) <= n or a(n) = A065688(n).

Links

Table of n, a(n) for n=1..23.

Formula

a(n) = A000040(A261323(n)).

Crossrefs

Cf. A000040, A008407, A065688, A261323.

Sequence in context: A179295 A083776 A122820 * A224887 A151571 A193957

Adjacent sequences: A261321 A261322 A261323 * A261325 A261326 A261327

Keyword

nonn,more

Author

Max Alekseyev, Aug 14 2015

Status

approved