A065688 First prime in the smallest (nontrivial) prime k-tuplet.

2, 3, 5, 5, 5, 7, 11, 11, 11, 11, 11, 11, 11, 11, 11, 13, 13, 13, 13, 29, 29, 19, 19

Offset

1,1

Comments

For a proper definition see the cross-references.

Links

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

T. Forbes, Norman Luhn, Prime k-tuplets

Eric Weisstein's World of Mathematics, k-Tuple Conjecture

Example

a(8): 11 13 17 19 23 29 31 37 are primes and 37-11=26=A008407(8).

Crossrefs

Cf. A008407 (minimal difference of first and last prime in a prime k-tuplet), A023193 (prime k-tuplet conjectures), A047947 (Schinzel's rhobar), A020497.

Cf. A261324 (another variant including trivial tuplets).

Sequence in context: A380286 A246401 A003660 * A377543 A348976 A169787

Adjacent sequences: A065685 A065686 A065687 * A065689 A065690 A065691

Keyword

more,nonn,changed

Author

Frank Ellermann, Dec 04 2001

Extensions

a(1) prepended and a(20)-a(23) added by Max Alekseyev, Aug 15 2015

Status

approved