login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A060611 Smallest prime p such that n = A049108(p) = length of chain of iterates of Euler Phi starting with p. 4

%I #16 Oct 15 2013 22:30:59

%S 2,3,5,11,17,41,83,137,257,641,1097,2657,5441,10883,17477,40961,65537,

%T 140417,295937,557057,1193537,2384897,4227137,9548417,17966357,

%U 35946497,71304257,162174977,305268737,541073537,1212153857,2281701377

%N Smallest prime p such that n = A049108(p) = length of chain of iterates of Euler Phi starting with p.

%C From 2nd to 12th term A007755 is the same as this sequence

%H T. D. Noe, <a href="/A060611/b060611.txt">Table of n, a(n) for n=2..1002</a>

%H Project Euler, <a href="http://projecteuler.net/index.php?section=problems&amp;id=214">Problem 214: Totient chains</a>.

%H T. D. Noe, <a href="http://www.sspectra.com/math/IteratedPhi2.pdf">Computing Numbers in Section I of the Totient Iteration</a>

%e n=13: a(13)=2657 is the smallest prime which gives a chain of length 13, 2657 -> 2656 -> 1312 -> 640 -> 256 -> 128 -> 64 -> 32 -> 16 -> 8 -> 4 -> 2 -> 1, while the smallest number having this property is A007755(13) = 2329 -> 2176 -> 1024 -> 512 -> 256 -> 128 -> 64 -> 32 -> 16 -> 8 -> 4 -> 2 -> 1.

%Y Cf. A000010, A049108 = A003434 + 1, A007755, A049117.

%Y A007755 has the same initial terms but is a different sequence.

%K nonn

%O 2,1

%A _Labos Elemer_, Apr 13 2001

%E More terms from _Jud McCranie_, Apr 22 2001

%E Removed duplicate cross references, added link, reformulated example. - _M. F. Hasler_, Oct 25 2008

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)