

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
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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



