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A292571 Lucas-Carmichael numbers whose Dedekind psi value is a square. 3

%I #13 Aug 26 2023 04:18:05

%S 935,31535,76751,1707839,3106799,11141999,24685199,43383167,83618639,

%T 151524071,161841239,189099039,212133599,213884999,219155615,

%U 233743319,241485839,271038599,287432495,338340239,353107799,624840479,660423455,945236159,1171355471

%N Lucas-Carmichael numbers whose Dedekind psi value is a square.

%H Amiram Eldar, <a href="/A292571/b292571.txt">Table of n, a(n) for n = 1..241</a> (terms below 10^12)

%e psi(935) = 36^2.

%t psi[n_] := If[n < 1, 0, n*Sum[MoebiusMu[d]^2/d, {d, Divisors@n}]]; s = Import["b006972.txt","Data"][[All,-1]]; Select[s, IntegerQ@Sqrt[psi@#] &]

%Y Intersection of A006972 and A291167.

%Y Cf. A001615, A272798, A292572, A292573.

%K nonn

%O 1,1

%A _Amiram Eldar_, Sep 19 2017

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Last modified May 4 17:51 EDT 2024. Contains 372257 sequences. (Running on oeis4.)