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

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(10000) | p mod 45 eq 43]; // Vincenzo Librandi, Aug 26 2012

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 *)

PARI

is(n)=isprime(n) && n%45==43 \\ Charles R Greathouse IV, Jul 03 2016

Formula

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