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%I #30 Oct 30 2023 07:21:30
%S 2,2,11,29,67,127,223,347,521,733,1009,1361,1733,2203,2749,3389,4099,
%T 4919,5839,6863,8009,9277,10651,12197,13829,15629,17579,19687,21961,
%U 24391,27011,29803,32771,35951,39313
%N Next prime after n^3.
%C According to Borwein's Remark 1, this is an example of a sequence of primes whose mean value is in [0,1]. - _T. D. Noe_, Sep 15 2008
%C More precisely, Borwein, Choi and Coons remark that the generalized Liouville function for this sequence has mean value in (0,1). - _Jonathan Sondow_, May 19 2013
%H Michael De Vlieger, <a href="/A014220/b014220.txt">Table of n, a(n) for n = 0..10000</a> (first 1000 terms from T. D. Noe)
%H Peter Borwein, Stephen K.K. Choi and Michael Coons, <a href="http://arxiv.org/abs/0809.1691">Completely multiplicative functions taking values in {-1,1}</a>, arXiv:0809.1691 [math.NT], 2008.
%F a(n) < (n+1)^3 for n sufficiently large, by Ingham's theorem in A060199. - _Jonathan Sondow_, May 19 2013
%t NextPrime[Range[0, 100]^3] (* _Vladimir Joseph Stephan Orlovsky_, Feb 25 2010 *)
%o (PARI) a(n)=nextprime(n^3) \\ _Charles R Greathouse IV_, May 26 2015
%Y Cf. A007491, A060199.
%K nonn
%O 0,1
%A _N. J. A. Sloane_
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