The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A055701 Numbers n such that n | Sigma_7(n) - Phi(n)^7. 0

%I #10 Dec 02 2016 10:22:15

%S 1,2,10,12,26,42,172,456,588,1326,3315,3635,6468,6720,12102,12922,

%T 15288,17836,18810,21756,32984,36108,36603,40572,41748,72905,78120,

%U 137004,195216,291060,295176,923212,978014,989604,1009800,1015768,1069712,1602692,1711024

%N Numbers n such that n | Sigma_7(n) - Phi(n)^7.

%C sigma_7(n) is the sum of the 7th powers of the divisors of n (A013955).

%t Do[If[Mod[DivisorSigma[7, n]-EulerPhi[n]^7, n]==0, Print[n]], {n, 1, 10^5}]

%t Select[Range[2*10^6],Divisible[DivisorSigma[7,#]-EulerPhi[#]^7,#]&] (* _Harvey P. Dale_, Dec 02 2016 *)

%o (PARI) isok(n) = !((sigma(n, 7) - eulerphi(n)^7) % n); \\ _Michel Marcus_, Mar 02 2014

%K nonn

%O 1,2

%A _Robert G. Wilson v_, Jun 09 2000

%E Definition corrected and more terms from _Michel Marcus_, Mar 02 2014

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 May 14 17:50 EDT 2024. Contains 372533 sequences. (Running on oeis4.)