cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A066995 Numbers k such that sigma(k) divides k*phi(k).

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%I A066995 #35 Dec 09 2024 10:12:10
%S A066995 1,6,15,28,84,95,140,182,190,248,270,287,308,357,420,455,477,496,570,
%T A066995 672,744,819,840,910,1199,1428,1488,1547,1638,1722,1848,1892,2295,
%U A066995 2398,2480,2660,2730,3339,3417,3472,3515,3596,3640,3720,3780,3956,4064,4095
%N A066995 Numbers k such that sigma(k) divides k*phi(k).
%H A066995 Harry J. Smith, <a href="/A066995/b066995.txt">Table of n, a(n) for n = 1..1000</a>
%t A066995 Select[Range[4500],Divisible[# EulerPhi[#],DivisorSigma[1,#]]&]  (* _Harvey P. Dale_, Mar 19 2011 *)
%o A066995 (PARI) isok(n) = frac(n*eulerphi(n)/sigma(n)) == 0; \\ _Michel Marcus_, Jan 31 2018
%o A066995 (GAP) Filtered([1..10^5], n ->  n*Phi(n) mod Sigma(n) = 0); # _Muniru A Asiru_, Jan 31 2018
%Y A066995 Cf. A001599, A011775.
%K A066995 nonn
%O A066995 1,2
%A A066995 _Benoit Cloitre_, Jan 27 2002