# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/

Search: id:a065688
Showing 1-1 of 1

%I A065688 #34 Oct 26 2023 11:19:00
%S A065688 2,3,5,5,5,7,11,11,11,11,11,11,11,11,11,13,13,13,13,29,29,19,19
%N A065688 First prime in the smallest (nontrivial) prime k-tuplet.
%C A065688 For a proper definition see the cross-references.
%H A065688 T. Forbes, Norman Luhn, <a href="http://www.pzktupel.de/ktuplets.htm">Prime k-tuplets</a>
%H A065688 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/k-TupleConjecture.html">k-Tuple Conjecture</a>
%e A065688 a(8): 11 13 17 19 23 29 31 37 are primes and 37-11=26=A008407(8).
%Y A065688 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 A065688 Cf. A261324 (another variant including trivial tuplets).
%K A065688 more,nonn
%O A065688 1,1
%A A065688 _Frank Ellermann_, Dec 04 2001
%E A065688 a(1) prepended and a(20)-a(23) added by _Max Alekseyev_, Aug 15 2015

# Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE