A105132 Primes of the form 1024n + 513.

7681, 10753, 11777, 17921, 23041, 26113, 32257, 36353, 45569, 51713, 67073, 76289, 81409, 84481, 87553, 96769, 102913, 112129, 113153, 115201, 118273, 119297, 125441, 133633, 143873, 153089, 155137, 158209, 159233, 161281, 168449, 170497, 176641

Offset: 1

Author

N. J. A. Sloane, based on correspondence from Marco Matosic, Apr 11 2005

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A002145, A007521, A105126-A105131.

Programs

Magma

[ a: n in [1..300] | IsPrime(a) where a is 1024*n+513 ]; // Vincenzo Librandi, Dec 07 2011

Mathematica

lst={};Do[p=1024*n+513;If[PrimeQ[p],AppendTo[lst,p]],{n,0,3*5!}];lst (* Vladimir Joseph Stephan Orlovsky, Jan 27 2009 *)
Select[1024*Range[500]+513,PrimeQ] (* Harvey P. Dale, Jul 18 2011 *)

PARI

forprimestep(p=7681,176641,1024, print1(p", ")) \\ Charles R Greathouse IV, Nov 01 2022

Formula

a(n) ~ 512n log n. - Charles R Greathouse IV, Nov 01 2022