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A110056 Least prime that ends a complete Cunningham chain (of the first kind) of length n. 4

%I #8 Apr 03 2023 10:36:11

%S 13,7,167,4079,47,2879,71850239,2444789759,21981381119,13357981992959,

%T 681004115066879,1136001594224639,16756459239477534719,

%U 781558105952602767359

%N Least prime that ends a complete Cunningham chain (of the first kind) of length n.

%C "Complete" means that this chain is not part of a longer Cunningham chain of the first kind.

%C Next term is greater than 4*10^17.

%C A005602(13)-> 8181864863026139 -> ... -> a(13) = 16756459239477534719. [From _Washington Bomfim_, Oct 21 2009]

%H Chris Caldwell's Prime Glossary, <a href="https://t5k.org/glossary/page.php?sort=CunninghamChain">Cunn ingham chains</a>.

%e 41->83->167 is a Cunningham chain of the first kind. It is complete because neither (41-1)/2 nor 2*167+1 is prime. It is the first such chain of three primes, so a(3) = 167.

%Y Cf. A005384, A005385, A007700, A023272, A023302, A023330, A059452, A057326, A059455, A059761, A059762, A059763, A059764, A074313.

%Y Cf. A110059 for Cunningham chains of the second kind.

%Y Cf. A005602 [From _Washington Bomfim_, Oct 21 2009]

%K nonn,hard

%O 1,1

%A _Alexandre Wajnberg_, Sep 04 2005

%E Edited and extended by _David Wasserman_, Aug 08 2006

%E a(13) and a(14) from _Washington Bomfim_, Oct 21 2009

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Last modified April 19 06:16 EDT 2024. Contains 371782 sequences. (Running on oeis4.)