login
This site is supported by donations to The OEIS Foundation.

 

Logo

Invitation: celebrating 50 years of OEIS, 250000 sequences, and Sloane's 75th, there will be a conference at DIMACS, Rutgers, Oct 9-10 2014.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A002174 Values taken by reduced totient function psi(n).
(Formerly M0986 N0370)
8
1, 2, 4, 6, 8, 10, 12, 16, 18, 20, 22, 24, 28, 30, 32, 36, 40, 42, 44, 46, 48, 52, 54, 56, 58, 60, 64, 66, 70, 72, 78, 80, 82, 84, 88, 90, 92, 96, 100, 102, 104, 106, 108, 110, 112, 116, 120, 126, 128, 130, 132, 136, 138, 140, 144, 148, 150, 156, 160, 162, 164, 166, 168 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

If p is a Sophie Germain prime (A005384), then 2p is here. - T. D. Noe, Aug 13 2008

Union[A002322] = A002174. - Vladimir Joseph Stephan Orlovsky, Jul 21 2009

REFERENCES

D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, pp. 7-10.

C. Moreau, Sur quelques theoremes d'arithmetique, Nouvelles Annales de Mathématiques, 17 (1898), 293-307.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

T. D. Noe, Table of n, a(n) for n = 1..10000

Florian Luca and Carl Pomerance, On the range of Carmichael's universal-exponent function, Acta Arithmetica, to appear c. 2014.

FORMULA

n (log n)^0.086 << a(n) << n (log n)^0.36 where << is the Vinogradov symbol, see Luca & Pomerance. - Charles R Greathouse IV, Dec 28 2013

MATHEMATICA

lst={}; Do[p=Prime[n]; AppendTo[lst, CarmichaelLambda[n]], {n, 6*7!}]; lst; Take[Union[lst], 123] (* Vladimir Joseph Stephan Orlovsky, Jul 21 2009 *)

CROSSREFS

Cf. A002322, A002396, A143407, A143408.

Sequence in context: A186384 A011860 A049445 * A002202 A049225 A076450

Adjacent sequences:  A002171 A002172 A002173 * A002175 A002176 A002177

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from T. D. Noe, Aug 13 2008

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified September 23 12:26 EDT 2014. Contains 247167 sequences.