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

1,1

Links

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

Formula

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

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 *)

Prog

(Magma) [p: p in PrimesUpTo(18000) | p mod 61 eq 29 ] ; // Vincenzo Librandi, Sep 05 2012
(PARI) is(n)=isprime(n) && n%61==29 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040, A144562.

Sequence in context: A103565 A098117 A101096 * A142938 A264252 A264530

Adjacent sequences: A142824 A142825 A142826 * A142828 A142829 A142830

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved