A015706 Odd numbers k that divide phi(k)*sigma(k).
1, 117, 135, 775, 819, 891, 1521, 1701, 2325, 3159, 3375, 4455, 5733, 6875, 6975, 10935, 11907, 19773, 20625, 20925, 22113, 22275, 24025, 40131, 41067, 43875, 44375, 49005, 61875, 62775, 68607, 72075, 75625, 83349, 84375, 85293
Offset: 1
Keywords
Links
- Donovan Johnson, Table of n, a(n) for n = 1..3000
- Richard K. Guy, Divisors and desires, Amer. Math. Monthly, 104 (1997), 359-360.
Crossrefs
Cf. A011775.
Programs
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Mathematica
Select[Range[1,85301,2],Divisible[EulerPhi[#]DivisorSigma[1,#],#]&] (* Harvey P. Dale, Aug 27 2013 *)
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PARI
isok(n) = (n%2) && !(sigma(n)*eulerphi(n) % n); \\ Michel Marcus, Oct 02 2017