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

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.

Programs

Magma

[p: p in PrimesUpTo(6000) | p mod 48 eq 43]; // Vincenzo Librandi, Aug 27 2012

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 *)

PARI

is(n)=isprime(n) && n%48==43 \\ Charles R Greathouse IV, Jul 03 2016

Formula

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