A142945 Primes congruent to 45 mod 64.

109, 173, 557, 877, 941, 1069, 1453, 1709, 1901, 2029, 2221, 2477, 2797, 2861, 3181, 3373, 3821, 4013, 4397, 4909, 4973, 5101, 5741, 5869, 6317, 6637, 6701, 6829, 7213, 7789, 7853, 8237, 8429, 8941, 9133, 9901, 10093, 10477, 10733, 10861, 11117, 11437

Offset

1,1

Links

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

Formula

a(n) ~ 32n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

lst={}; Do[p=Prime[n]; If[Mod[p, 64]==45, AppendTo[lst, p]], {n, 7!}]; lst (* Vladimir Joseph Stephan Orlovsky, Mar 02 2009 *)
Select[Prime[Range[1800]], MemberQ[{45}, Mod[#, 64]] &] (* Vincenzo Librandi, Sep 07 2012 *)
Select[Range[45, 12000, 64], PrimeQ] (* Harvey P. Dale, Feb 08 2023 *)

Prog

(Magma) [p: p in PrimesUpTo(12000) | p mod 64 eq 45]; // Vincenzo Librandi, Sep 07 2012
(PARI) is(n)=isprime(n) && n%64==45 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A102908 A141998 A061277 * A142079 A142224 A054267

Adjacent sequences: A142942 A142943 A142944 * A142946 A142947 A142948

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved