Search: id:A006005
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%I A006005
%S A006005 1,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,
%T A006005 89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,
%U A006005 181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271
%N A006005 The odd prime numbers together with 1.
%C A006005 The odd noncomposite numbers. Also odd primes at the beginning of the 
               20th century. - Omar E. Pol (info(AT)polprimos.com), Mar 19 2008
%C A006005 Indices at which records occur in A002322 - Artur Jasinski (grafix(AT)csl.pl), 
               Apr 05 2008
%C A006005 Odd numbers n such that their largest divisor <= sqrt(n) equals 1. (See 
               A161344). [From Omar E. Pol (info(AT)polprimos.com), Aug 03 2009]
%C A006005 prime(n)-((-1)^prime(n)+1)/2. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), 
               Oct 25 2009]
%D A006005 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, 
               National Bureau of Standards Applied Math. Series 55, 1964 (and various 
               reprintings), p. 870.
%H A006005 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.nrbook.com/
               abramowitz_and_stegun/">Handbook of Mathematical Functions</a>, National 
               Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 
               [alternative scanned copy].
%F A006005 a(n)=A000040(n)-A000007(n)=A000040(n)-((-1)^A000040(n)+1)/2. [From Juri-Stepan 
               Gerasimov (2stepan(AT)rambler.ru), Oct 25 2009]
%t A006005 a = {}; max = 0; Do[w = CarmichaelLambda[k]; If[w > max, AppendTo[a, 
               k]; max = k], {k, 1, 200}]; a - Artur Jasinski (grafix(AT)csl.pl), 
               Apr 05 2008
%Y A006005 Cf. A000040.
%Y A006005 Cf. A008578, A065091, A002322.
%Y A006005 Cf. A161344. [From Omar E. Pol (info(AT)polprimos.com), Aug 03 2009]
%Y A006005 Cf. A000007. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Oct 
               25 2009]
%Y A006005 Sequence in context: A056912 A075763 A074918 this_sequence A065091 A160656 
               A073579
%Y A006005 Adjacent sequences: A006002 A006003 A006004 this_sequence A006006 A006007 
               A006008
%K A006005 nonn
%O A006005 1,2
%A A006005 N. J. A. Sloane (njas(AT)research.att.com).

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