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 A006005 The odd prime numbers together with 1. 44
 1, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The odd noncomposite numbers. Also odd primes at the beginning of the 20th century. - Omar E. Pol, Mar 19 2008 Indices at which records occur in A002322. - Artur Jasinski, Apr 05 2008 Odd numbers n such that their largest divisor <= sqrt(n) equals 1. (See A161344). - Omar E. Pol, Aug 03 2009 All k for which cos((k-1)!*Pi/k) is negative. - Gerry Martens, Jun 01 2018 LINKS M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972, p. 870 [alternative scanned copy]. S. M. Losanitsch, Die Isomerie-Arten bei den Homologen der Paraffin-Reihe, Chem. Ber. 30 (1897), 1917-1926. (Annotated scanned copy) FORMULA a(n) = A000040(n) - A000007(n) = A000040(n) - ((-1)^A000040(n)+1)/2. - Juri-Stepan Gerasimov, Oct 25 2009 a(n) = A175524(n) for n <= 30. - Reinhard Zumkeller, Jul 12 2011 MATHEMATICA a = {}; max = 0; Do[w = CarmichaelLambda[k]; If[w > max, AppendTo[a, k]; max = k], {k, 1, 200}]; a (* Artur Jasinski, Apr 05 2008 *) Join[{1}, Prime[Range[2, 60]]] (* Harvey P. Dale, Apr 15 2019 *) PROG (PARI) prime(n)-(n==1) \\ Charles R Greathouse IV, Aug 26 2011 CROSSREFS Cf. A000040, A008578, A065091, A002322. Sequence in context: A074918 A175524 A073579 * A065091 A160656 A176997 Adjacent sequences:  A006002 A006003 A006004 * A006006 A006007 A006008 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified October 20 10:45 EDT 2019. Contains 328257 sequences. (Running on oeis4.)