

A028873


Numbers n such that n^2  3 is prime.


11



4, 8, 10, 14, 20, 26, 32, 34, 40, 44, 46, 58, 64, 68, 80, 86, 88, 92, 98, 110, 112, 118, 124, 128, 136, 140, 142, 146, 164, 172, 190, 194, 202, 206, 208, 218, 220, 250, 254, 266, 268, 296, 298, 304, 310, 320, 322, 326, 328, 332, 340, 350, 356, 362, 370, 416, 418
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OFFSET

1,1


LINKS

Nathaniel Johnston, Table of n, a(n) for n = 1..10000
P. De Geest, Palindromic Quasipronics of the form n(n+x)
Eric Weisstein's World of Mathematics, NearSquare Prime


EXAMPLE

8^2  3 = 61 is prime, so 8 is in the sequence.


MATHEMATICA

a[n_]:=n^xy; lst={}; x=2; y=3; Do[If[PrimeQ[a[n]], AppendTo[lst, n]], {n, 0, 6!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 03 2009 *)


PROG

(MAGMA) [n: n in [2..10000] IsPrime(n^23)] // Vincenzo Librandi, Aug 05 2010
(PARI) is(n)=isprime(n^23) \\ Charles R Greathouse IV, Jul 02 2013


CROSSREFS

Sequence in context: A063087 A120064 A191330 * A252662 A153975 A020169
Adjacent sequences: A028870 A028871 A028872 * A028874 A028875 A028876


KEYWORD

nonn,easy


AUTHOR

Patrick De Geest


STATUS

approved



