A142358 Primes congruent to 7 mod 47.

7, 101, 383, 571, 853, 947, 1229, 1511, 1699, 2357, 3109, 3203, 3391, 3673, 3767, 4049, 4519, 4801, 5647, 5741, 6211, 6869, 7057, 7151, 7433, 7621, 8467, 9689, 10159, 10253, 10723, 11287, 12227, 12697, 12791, 12979, 14107, 14389, 15329, 16363, 16927, 17021

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[{7}, Mod[#, 47]]&] (* Vincenzo Librandi, Aug 26 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 7]; // Vincenzo Librandi, Aug 26 2012
(PARI) is(n)=isprime(n) && n%47==7 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A322909 A165878 A175345 * A210684 A376526 A367137

Adjacent sequences: A142355 A142356 A142357 * A142359 A142360 A142361

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved