login
First prime in the smallest (nontrivial) prime k-tuplet.
9

%I #34 Oct 26 2023 11:19:00

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

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

%C For a proper definition see the cross-references.

%H T. Forbes, Norman Luhn, <a href="http://www.pzktupel.de/ktuplets.htm">Prime k-tuplets</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/k-TupleConjecture.html">k-Tuple Conjecture</a>

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

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

%Y Cf. A261324 (another variant including trivial tuplets).

%K more,nonn

%O 1,1

%A _Frank Ellermann_, Dec 04 2001

%E a(1) prepended and a(20)-a(23) added by _Max Alekseyev_, Aug 15 2015