Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A007097
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A007097 Primeth recurrence: a(n+1) = a(n)-th prime.
(Formerly M0734)
+0
63
1, 2, 3, 5, 11, 31, 127, 709, 5381, 52711, 648391, 9737333, 174440041, 3657500101, 88362852307, 2428095424619, 75063692618249, 2586559730396077, 98552043847093519, 4123221751654370051 (list; graph; listen)
OFFSET

0,2

COMMENT

A007097(n) = Min {k : A109301(k) = n} = the first k whose rote height is n, the level set leader or minimum inverse function corresponding to A109301. - Jon Awbrey (jawbrey(AT)att.net), Jun 26 2005

Lubomir Alexandrov (alexandr(AT)theor.jinr.ru) informs me that he studied this sequence in his 1965 notebook. - njas, May 23 2008.

REFERENCES

Lubomir Alexandrov, unpublished notes, circa 1960.

Lubomir Alexandrov, "On the nonasymptotic prime number distribution", LANL.math.NT/9811096, Los Alamos, 1998

Lubomir Alexandrov,"The Eratosthenes Progression p(k+1)=p(p(k)), k=0,1,2,..., p(0)=1,4,6,... Determines an Inner Prime Number Distribution Law", Second Int. Conf. "Modern Trends in Computational Physics", Jul 24-29, 2000, Dubna, Russia, Book of Abstracts, p. 19.

L. Longeri, Towards understanding nature and the aesthetics of prime numbers, https://www.longeri.org/prime/nature.html

Lubomir Alexandrov, "Prime Number Sequences And Matrices Generated By Counting Arithmetic Functions", Communications of the Joint Institute of Nuclear Research, E5-2002-55, Dubna, 2002.

LINKS

M. Deleglise, Computation of large values of pi(x)

N. Fernandez, An order of primeness, F(p)

N. J. A. Sloane, My favorite integer sequences, in Sequences and their Applications (Proceedings of SETA '98).

MATHEMATICA

NestList[Prime@# &, 1, 16] (from Robert G. Wilson v (rgwv(at)rgwv.com), May 30 2006)

CROSSREFS

Cf. A000720, A049076-A049081.

Cf. A109301.

Sequence in context: A090709 A112279 A130166 this_sequence A132745 A124538 A124627

Adjacent sequences: A007094 A007095 A007096 this_sequence A007098 A007099 A007100

KEYWORD

nonn,hard,nice

AUTHOR

njas, Robert G. Wilson v (rgwv(AT)rgwv.com).

EXTENSIONS

15th term corrected and 2 more terms added by loria.fr!Paul.Zimmermann (Paul Zimmermann).

a(18) and a(19) from David Baugh (dbaugh(AT)rice.edu), Oct 25 2007

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified July 19 08:04 EDT 2008. Contains 142098 sequences.


AT&T Labs Research