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A087797 Primes, squares of primes and cubes of primes. 4

%I #17 Oct 19 2015 12:57:29

%S 2,3,4,5,7,8,9,11,13,17,19,23,25,27,29,31,37,41,43,47,49,53,59,61,67,

%T 71,73,79,83,89,97,101,103,107,109,113,121,125,127,131,137,139,149,

%U 151,157,163,167,169,173,179,181,191,193,197,199,211,223,227,229,233,239,241

%N Primes, squares of primes and cubes of primes.

%H Vincenzo Librandi, <a href="/A087797/b087797.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ n log n. - _Charles R Greathouse IV_, Oct 19 2015

%t m=400;Union[Prime[Range[PrimePi[m]]],Prime[Range[PrimePi[m^(1/2)]]]^2,Prime[Range[PrimePi[m^(1/3)]]]^3] (* _Vladimir Joseph Stephan Orlovsky_, Apr 11 2011 *)

%t With[{nn=70},Take[Union[Flatten[{#,#^2,#^3}&/@Prime[Range[nn]]]],nn]] (* _Harvey P. Dale_, Oct 16 2012 *)

%o (PARI) is(n)=my(t=isprimepower(n)); t && t<4 \\ _Charles R Greathouse IV_, Oct 19 2015

%Y Cf. A000430, A002760.

%K nonn

%O 1,1

%A _Benoit Cloitre_, Oct 10 2003

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Last modified April 25 11:03 EDT 2024. Contains 371967 sequences. (Running on oeis4.)