A142827 Primes congruent to 29 mod 61.

29, 151, 761, 883, 1249, 1493, 2347, 2591, 2713, 2957, 3079, 3323, 4177, 4421, 4787, 4909, 5153, 5519, 5641, 6007, 6373, 6983, 7349, 8081, 8447, 10399, 11131, 11497, 11863, 12107, 12473, 13327, 13693, 14303, 14669, 15401, 15767, 15889, 16987, 17231, 17597

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040, A144562.

Programs

Magma

[p: p in PrimesUpTo(18000) | p mod 61 eq 29 ] ; // Vincenzo Librandi, Sep 05 2012

Mathematica

Select[Prime[Range[2100]],Mod[#,61]==29&]  (* Harvey P. Dale, Mar 30 2011 *)
Select[Range[29,18000,61],PrimeQ] (* Harvey P. Dale, Nov 19 2011 *) (* For a larger range of numbers, the second program is faster *)
Select[Prime[Range[2300]], MemberQ[{29}, Mod[#, 61]] &] (* Vincenzo Librandi, Sep 05 2012 *)

PARI

is(n)=isprime(n) && n%61==29 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 60n log n. - Charles R Greathouse IV, Jul 03 2016