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A247180 Numbers with nonrepeating smallest prime factor. 9

%I #26 Dec 08 2020 04:51:45

%S 2,3,5,6,7,10,11,13,14,15,17,18,19,21,22,23,26,29,30,31,33,34,35,37,

%T 38,39,41,42,43,46,47,50,51,53,54,55,57,58,59,61,62,65,66,67,69,70,71,

%U 73,74,75,77,78,79,82,83,85,86,87,89,90,91,93,94,95,97,98

%N Numbers with nonrepeating smallest prime factor.

%C Complement of the union of {1} and A283050. The asymptotic density of this sequence is 1 - A283071 = 0.6699019646... - _Amiram Eldar_, Dec 08 2020

%H Reinhard Zumkeller, <a href="/A247180/b247180.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) mod A088377(a(n)) > 0;

%F A067029(a(n)) = 1.

%t Select[Range[100],FactorInteger[#][[1,2]]==1&] (* _Harvey P. Dale_, Jan 29 2020 *)

%o (Haskell)

%o a247180 n = a247180_list !! (n-1)

%o a247180_list = filter ((== 1) . a067029) [1..]

%o (PARI) isok(m) = (m>1) && (factor(m)[1,2] == 1); \\ _Michel Marcus_, Dec 08 2020

%Y Cf. A020639, A088377, A067029, A283050, A283071.

%Y Subsequences: A005117, A016825.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Nov 23 2014

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Last modified May 30 04:46 EDT 2024. Contains 372958 sequences. (Running on oeis4.)