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A353869 Squarefree numbers k such that the Carmichael function A002322(k) divides the Dedekind psi A001615(k). 3

%I #10 May 09 2022 15:18:23

%S 1,2,3,6,14,15,30,35,42,65,70,78,105,119,130,182,190,195,210,238,255,

%T 357,370,377,390,418,455,510,546,570,595,663,714,754,910,969,1045,

%U 1110,1118,1131,1190,1254,1326,1330,1365,1547,1558,1615,1785,1885,1887,1938,2090,2190,2261,2262,2470,2590,2639,2730

%N Squarefree numbers k such that the Carmichael function A002322(k) divides the Dedekind psi A001615(k).

%C If s,t are terms, then so is lcm(s,t); in particular, if s,t are coprime, then s*t is also a term. Primitive squarefree terms are listed in A353871.

%t psi[1] = 1; psi[n_] := n * Times @@ (1 + 1/Transpose[FactorInteger[n]][[1]]); Select[Range[3000], SquareFreeQ[#] && Divisible[psi[#], CarmichaelLambda[#]] &] (* _Amiram Eldar_, May 09 2022 *)

%Y Intersection of A005117 and A353868.

%Y Cf. A002322, A001615, A353870, A353871.

%K nonn,mult

%O 1,2

%A _Max Alekseyev_, May 08 2022

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