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A106543 Composite numbers that are not perfect powers. 10

%I #20 Dec 09 2022 07:07:25

%S 6,10,12,14,15,18,20,21,22,24,26,28,30,33,34,35,38,39,40,42,44,45,46,

%T 48,50,51,52,54,55,56,57,58,60,62,63,65,66,68,69,70,72,74,75,76,77,78,

%U 80,82,84,85,86,87,88,90,91,92,93,94,95,96,98,99,102,104,105,106

%N Composite numbers that are not perfect powers.

%H Amiram Eldar, <a href="/A106543/b106543.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = n + O(n/log n). - _Charles R Greathouse IV_, Oct 03 2011

%t perfPQ[n_]:=GCD@@FactorInteger[n][[All,2]]>1; Select[Range[110], CompositeQ[ #] && !perfPQ[#]&] (* _Harvey P. Dale_, Oct 10 2017 *)

%o (PARI) lista(nn)=forcomposite(i=1, nn, if (! ispower(i), print1(i, ", "));); \\ _Michel Marcus_, Jun 27 2013

%o (PARI) is(n)=!isprime(n) && !ispower(n) && n>1 \\ _Charles R Greathouse IV_, Oct 19 2015

%o (CASE)

%o def A106543_list(n) : return [k for k in (2..n) if not k.is_prime() and not k.is_perfect_power()]

%o A106543_list(106) # _Terry D. Grant_, Jul 17 2016

%Y Intersection of A002808 and A007916.

%Y Cf. A105642, A089229.

%K easy,nonn

%O 1,1

%A _Alexandre Wajnberg_, May 08 2005

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Last modified August 22 21:27 EDT 2024. Contains 375369 sequences. (Running on oeis4.)