A142244 Primes congruent to 23 mod 42.

23, 107, 149, 191, 233, 317, 359, 401, 443, 569, 653, 821, 863, 947, 1031, 1283, 1367, 1409, 1451, 1493, 1619, 1787, 1871, 1913, 1997, 2039, 2081, 2207, 2333, 2417, 2459, 2543, 2711, 2753, 2837, 2879, 2963, 3089, 3257, 3299, 3467, 3593, 3677, 3719, 3761

Offset

1,1

Links

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

Formula

a(n) ~ 12n log n. - Charles R Greathouse IV, Jul 02 2016

Mathematica

Select[Prime[Range[1500]], MemberQ[{23}, Mod[#, 42]]&] (* Vincenzo Librandi, Aug 24 2012 *)
Select[Range[23, 4000, 42], PrimeQ] (* Harvey P. Dale, Dec 18 2013 *)

Prog

(Magma) [p: p in PrimesUpTo(4000) | p mod 42 eq 23 ]; // Vincenzo Librandi, Aug 24 2012
(PARI) is(n)=isprime(n) && n%42==23 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A044655 A231439 A180517 * A139912 A176928 A157607

Adjacent sequences: A142241 A142242 A142243 * A142245 A142246 A142247

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved