A142410 Primes congruent to 37 mod 48.

37, 181, 229, 277, 373, 421, 613, 661, 709, 757, 853, 997, 1093, 1237, 1381, 1429, 1621, 1669, 1861, 2053, 2293, 2341, 2389, 2437, 2677, 2917, 3061, 3109, 3253, 3301, 3541, 3637, 3733, 3877, 4021, 4261, 4357, 4549, 4597, 4789, 4933, 5077, 5413, 5557, 5653

Offset

1,1

Links

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

Formula

a(n) ~ 16n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[1000]], MemberQ[{37}, Mod[#, 48]] &] (* Vincenzo Librandi, Aug 27 2012 *)
Select[Range[37, 6000, 48], PrimeQ] (* Harvey P. Dale, Dec 06 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 48 eq 37]; // Vincenzo Librandi, Aug 27 2012
(PARI) is(n)=isprime(n) && n%48==37 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A134219 A140593 A195546 * A164940 A137724 A172080

Adjacent sequences: A142407 A142408 A142409 * A142411 A142412 A142413

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved