A142412 Primes congruent to 43 mod 48.

43, 139, 283, 331, 379, 523, 571, 619, 811, 859, 907, 1051, 1291, 1483, 1531, 1579, 1627, 1723, 1867, 2011, 2203, 2251, 2347, 2539, 2683, 2731, 2971, 3019, 3067, 3163, 3259, 3307, 3499, 3547, 3643, 3691, 3739, 3931, 4027, 4219, 4363, 4507, 4603, 4651, 4987

Offset

1,1

Links

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

Formula

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

Mathematica

Select[48*Range[0, 120]+43, PrimeQ] (* Harvey P. Dale, Dec 15 2011 *)
Select[Prime[Range[1000]], MemberQ[{43}, Mod[#, 48]] &] (* Vincenzo Librandi, Aug 27 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 48 eq 43]; // Vincenzo Librandi, Aug 27 2012
(PARI) is(n)=isprime(n) && n%48==43 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A365873 A142394 A086760 * A175683 A044375 A044756

Adjacent sequences: A142409 A142410 A142411 * A142413 A142414 A142415

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved