A142047 Primes congruent to 29 mod 32.

29, 61, 157, 317, 349, 509, 541, 701, 733, 797, 829, 1021, 1117, 1181, 1213, 1277, 1373, 1597, 1693, 1789, 1949, 2141, 2237, 2269, 2333, 2557, 2621, 2749, 2909, 3037, 3229, 3389, 3517, 3581, 3613, 3677, 3709, 4093, 4157, 4253, 4349, 4637, 4733, 4861, 4957

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040, A142042, A142044.

Programs

Magma

[p: p in PrimesUpTo(6000) | p mod 32 eq 29 ]; // Vincenzo Librandi, Aug 18 2012

Mathematica

Select[Range[29,20000,32],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 02 2011 *)
Select[Prime[Range[2000]],MemberQ[{29},Mod[#,32]]&] (* Vincenzo Librandi, Aug 18 2012 *)

PARI

is(n)=isprime(n) && n%32==29 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 16n log n. - Charles R Greathouse IV, Jul 03 2016