Chris Caldwell's Prime Glossary, <a href="httphttps://primes.utmt5k.eduorg/glossary/page.php?sort=CunninghamChain">Cunningham chains</a>.

_Alexandre Wajnberg (alexandre.wajnberg(AT)ulb.ac.be), _, Sep 03 2005

Union of A059764 and A110022 . [_R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, May 08 2009]

Edited and extended by _R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, May 08 2009

Smallest prime primes starting (through <*2+1> or <*2-1>) a complete four iterations Cunningham chain of the first or second kind and not coming themselves from such an iteration.

2, 1531, 6841, 15391, 44371, 53639, 53849, 57991, 61409, 66749, 83431, 105871, 143609, 145021, 150151, 167729, 186149, 199621, 206369, 209431, 212851, 231241, 242551, 268049, 291271, 296099, 319681, 340919, 346141, 377491, 381631, 422069

The word "complete" indicates each chain is exactly 5 primes long (i.e. , the chain cannot be a subchain of another one).

Terms computed by Gilles Sadowski.

Union of A059764 and A110022 . [R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 08 2009]

2 is here because through <2p+1>, 2 -> 5 -> 11 -> 23 -> 47 and the chain ends here (with this operator).

1531 is here because through <2p-1>, 1531 -> 3061 -> 6121 -> 12241 -> 24481 and the chain ends here (with this operator).

Terms computed by Gilles Sadowski

Cf. A023272, A023302, A023330, A005384, A005385, A059452, A059455, A007700, Cf. A059759, A059760, A059761, A059762, A059763, A059764, A059765, A038397, A104349, A091314, A069362, A016093, A014937, A057326.

Cf. A059759, A059760, A059761, A059762, A059763, A059764, A059765, A038397, A104349, A091314, A069362, A016093, A014937, A057326.

easy,nonn,uned,new

Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 08 2009

Smallest prime starting (through <*2+1> or <*2-1>) a complete four iterations Cunningham chain of the first or second kind, and not coming themselves from such an iteration.

easy,nonn,uned,new

2 is here because, through <2p+1>, 2 -> 5 -> 11 -> 23 -> 47 and the chain ends here (with this operator).

1531 is here because, through <2p-1>, 1531 -> 3061 -> 6121 -> 12241 -> 24481 and the chain ends here (with this operator).

easy,nonn,uned,new

Least Smallest prime starting (through <*2+1> or <*2-1>) a complete four iterations Cunningham chain of the first or second kind, and not coming themselves from such an iteration.

easy,nonn,uned,new

Least prime starting (through <*2+1> or <*2-1>) a complete four iterations Cunningham chain of the first or second kind, and not coming themselves from such an iteration.

2, 1531, 6841, 15391, 44371, 53639, 53849, 57991, 61409, 66749, 83431, 105871, 143609, 145021, 150151, 167729

1,1

The word "complete" indicates each chain is exactly 5 primes long (i.e. the chain cannot be a subchain of another one).

Chris Caldwell's Prime Glossary, <a href="http://primes.utm.edu/glossary/page.php?sort=CunninghamChain">Cunningham chains</a>.

2 is here because, through <2p+1>, 2 -> 5 -> 11 -> 23 -> 47 and the chain ends here (with this operator).

1531 is here because, through <2p-1>, 1531 -> 3061 -> 6121 -> 12241 -> 24481 and the chain ends here (with this operator).

Terms computed by Gilles Sadowski

Cf. A023272, A023302, A023330, A005384, A005385, A059452, A059455, A007700, Cf. A059759, A059760, A059761, A059762, A059763, A059764, A059765, A038397, A104349, A091314, A069362, A016093, A014937, A057326.

easy,nonn,uned

Alexandre Wajnberg (alexandre.wajnberg(AT)ulb.ac.be), Sep 03 2005

approved