A142334 Primes congruent to 43 mod 45.

43, 223, 313, 673, 853, 1033, 1123, 1213, 1303, 1483, 1663, 1753, 1933, 2113, 2203, 2293, 2383, 2473, 2833, 3373, 3463, 3643, 3733, 3823, 4003, 4093, 4273, 4363, 4723, 4813, 4903, 4993, 5443, 5623, 6073, 6163, 6343, 6703, 6793, 6883, 7243, 7333, 7603, 7873

Offset

1,1

Links

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

Formula

a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[1000]], Mod[#, 45]==43&] (* Harvey P. Dale, Jan 14 2012 *)
Select[Prime[Range[1200]], MemberQ[{43}, Mod[#, 45]]&] (* Vincenzo Librandi, Aug 26 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 43]; // Vincenzo Librandi, Aug 26 2012
(PARI) is(n)=isprime(n) && n%45==43 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A013307 A043375 A038479 * A107697 A302977 A362407

Adjacent sequences: A142331 A142332 A142333 * A142335 A142336 A142337

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved