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A110056 Least prime that ends a complete Cunningham chain (of the first kind) of length n. 3
13, 7, 167, 4079, 47, 2879, 71850239, 2444789759, 21981381119, 13357981992959, 681004115066879, 1136001594224639, 16756459239477534719, 781558105952602767359 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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

Next term is greater than 4*10^17.

A005602(13)-> 8181864863026139 -> ... -> a(13) = 16756459239477534719. [From W. Bomfim (webonfim(AT)bol.com.br), Oct 21 2009]

LINKS

Chris Caldwell's Prime Glossary, Cunn ingham chains.

EXAMPLE

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.

CROSSREFS

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

Cf. A110059 for Cunningham chains of the second kind.

Cf. A005602 [From W. Bomfim (webonfim(AT)bol.com.br), Oct 21 2009]

Sequence in context: A206611 A152142 A177427 * A159562 A076116 A010216

Adjacent sequences:  A110053 A110054 A110055 * A110057 A110058 A110059

KEYWORD

nonn,hard

AUTHOR

Alexandre Wajnberg (alexandre.wajnberg(AT)ulb.ac.be), Sep 04 2005

EXTENSIONS

Edited and extended by David Wasserman (dwasserm(AT)earthlink.net), Aug 08 2006

a(13) and a(14) from W. Bomfim (webonfim(AT)bol.com.br), Oct 21 2009

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Last modified February 17 12:36 EST 2012. Contains 206020 sequences.