A142293 Primes congruent to 3 mod 44.

3, 47, 179, 223, 311, 443, 487, 619, 751, 839, 883, 971, 1103, 1279, 1367, 1499, 1543, 2027, 2203, 2423, 2467, 2687, 2731, 2819, 3083, 3259, 3347, 3391, 3919, 4007, 4051, 4139, 4271, 4447, 4799, 4931, 5107, 5503, 5591, 5987, 6163, 6427, 6691, 6779, 6823

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

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

Mathematica

Select[Range[3, 6823, 44], PrimeQ] (* Harvey P. Dale, Oct 03 2011 *)
Select[Prime[Range[2500]], MemberQ[{3}, Mod[#, 44]]&] (* Vincenzo Librandi, Aug 25 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(8000) | p mod 44 eq 3 ]; // Vincenzo Librandi, Aug 25 2012
(PARI) is(n)=isprime(n) && n%44==3 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A054643 A122535 A058427 * A052187 A260219 A131465

Adjacent sequences: A142290 A142291 A142292 * A142294 A142295 A142296

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved