A142296 Primes congruent to 9 mod 44.

53, 97, 229, 317, 449, 757, 977, 1021, 1109, 1153, 1373, 1549, 1637, 1901, 2297, 2341, 2473, 2693, 2957, 3001, 3089, 3221, 3529, 3617, 3793, 3881, 4013, 4057, 4409, 4673, 4937, 5113, 5333, 5641, 5861, 6037, 6257, 6301, 6389, 6521, 6653, 6829, 6917, 6961

Offset

1,1

Links

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

Formula

a(n) ~ 20n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[2500]], MemberQ[{9}, Mod[#, 44]]&] (* Vincenzo Librandi, Aug 25 2012 *)
Select[Range[9, 7000, 44], PrimeQ] (* Harvey P. Dale, Aug 02 2017 *)

Prog

(Magma) [p: p in PrimesUpTo(8000) | p mod 44 eq 9 ]; // Vincenzo Librandi, Aug 25 2012
(PARI) is(n)=isprime(n) && n%44==9 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A033234 A266845 A238678 * A180520 A139959 A044142

Adjacent sequences: A142293 A142294 A142295 * A142297 A142298 A142299

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved