A142396 Primes congruent to 45 mod 47.

139, 233, 421, 797, 1361, 1549, 1831, 2113, 2207, 2677, 3617, 4463, 4651, 4933, 5309, 5591, 5779, 6343, 6719, 6907, 7001, 7283, 7753, 8317, 8599, 8693, 9257, 9539, 10009, 10103, 10667, 10949, 11701, 12547, 12641, 12829, 12923, 13487, 14051, 14897, 15461

Offset

1,1

Links

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

Formula

a(n) ~ 46n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[2500]], MemberQ[{45}, Mod[#, 47]]&] (* Vincenzo Librandi. Aug 27 2012 *)
Select[Range[45, 16000, 47], PrimeQ] (* Harvey P. Dale, Sep 13 2022 *)

Prog

(Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 45]; // Vincenzo Librandi, Aug 27 2012
(PARI) is(n)=isprime(n) && n%47==45 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A107206 A256601 A142314 * A268858 A142748 A142019

Adjacent sequences: A142393 A142394 A142395 * A142397 A142398 A142399

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved