A142008 Primes congruent to 4 mod 31.

97, 283, 593, 1151, 1213, 1399, 1523, 1709, 2081, 2143, 2267, 2887, 3011, 3259, 3631, 4003, 4127, 4561, 4871, 4933, 5119, 5801, 5987, 6173, 6359, 6421, 6607, 6793, 6917, 7103, 7351, 7537, 7723, 8219, 8467, 8839, 8963, 9397, 9521, 9769, 10079, 10141, 10513

Offset

1,1

Links

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

Formula

a(n) ~ 30n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Range[4, 20000, 31], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 20 2011 *)
Select[Prime[Range[1500]], Mod[#, 31]==4&] (* Harvey P. Dale, Sep 21 2021 *)

Prog

(Magma) [ p: p in PrimesUpTo(30000) | p mod 31 eq 4 ]; // Vincenzo Librandi, Apr 20 2011
(PARI) is(n)=isprime(n) && n%31==4 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040, A142005, A142006.

Sequence in context: A006310 A141986 A123033 * A008873 A142455 A159507

Adjacent sequences: A142005 A142006 A142007 * A142009 A142010 A142011

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved