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A347939 Primitive terms of A347936: terms of A347936 that are not multiples of other terms of A347936. 2

%I #9 Sep 20 2021 21:29:01

%S 155925,225225,259875,294525,297675,363825,405405,429975,496125,

%T 552825,562275,571725,606375,628425,694575,760725,765765,921375,

%U 945945,987525,1044225,1167075,1195425,1334025,1412775,1447875,1486485,1507275,1526175,1611225,1640925,1645875

%N Primitive terms of A347936: terms of A347936 that are not multiples of other terms of A347936.

%C Since any positive odd multiple of a term of A347936 is also a term of A347936, the sequence A347936 consists of the positive odd multiple of this sequence.

%H Amiram Eldar, <a href="/A347939/b347939.txt">Table of n, a(n) for n = 1..10000</a>

%e The first 8 terms of this sequence are the same as those of A347936. But A347936(9) = 467775 = 3 * 155925 = 3 * A347936(1) is not a term of this sequence.

%t abQ[n_] := DivisorSigma[1, n] > 2*n; s[n_] := DivisorSum[n, # &, abQ[#] &]; q[n_] := s[n] > 2*n && AllTrue[Most @ Divisors[n], ! q[#] &]; Select[Range[1, 300000, 2], q]

%Y Subsequence A005101, A005231, A347936 and A347938.

%Y Cf. A006038, A187795.

%K nonn

%O 1,1

%A _Amiram Eldar_, Sep 20 2021

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)