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A014220 Next prime after n^3. 6
2, 2, 11, 29, 67, 127, 223, 347, 521, 733, 1009, 1361, 1733, 2203, 2749, 3389, 4099, 4919, 5839, 6863, 8009, 9277, 10651, 12197, 13829, 15629, 17579, 19687, 21961, 24391, 27011, 29803, 32771, 35951, 39313 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

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

LINKS

T. D. Noe and Michael De Vlieger, Table of n, a(n) for n = 0..10000 (First 1000 terms from T. D. Noe)

Peter Borwein, Stephen K.K. Choi and Michael Coons, Completely multiplicative functions taking values in {-1,1}, arXiv:0809.1691 [math.NT], 2008.

FORMULA

a(n) < (n+1)^3 for n sufficiently large, by Ingham's theorem in A060199. - Jonathan Sondow, May 19 2013

MATHEMATICA

NextPrime[Range[0, 100]^3] (* Vladimir Joseph Stephan Orlovsky, Feb 25 2010 *)

PROG

(PARI) a(n)=nextprime(n^3) \\ Charles R Greathouse IV, May 26 2015

CROSSREFS

Cf. A007491, A060199.

Sequence in context: A151365 A244280 A090527 * A089544 A208967 A192824

Adjacent sequences:  A014217 A014218 A014219 * A014221 A014222 A014223

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 19 18:33 EDT 2019. Contains 326133 sequences. (Running on oeis4.)