A142693 Primes congruent to 46 mod 57.

103, 331, 673, 787, 1129, 1471, 1699, 2269, 2383, 2953, 3067, 3181, 3637, 4093, 4549, 4663, 5119, 5233, 5347, 5689, 6373, 6829, 7057, 7741, 8311, 8539, 9109, 9337, 9679, 9907, 10477, 11047, 11161, 11503, 11617, 11731, 11959, 12073, 12301, 12757, 13099

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(14000) | p mod 57 eq 46 ]; // Vincenzo Librandi, Sep 02 2012

Mathematica

Select[Prime[Range[2400]], MemberQ[{46}, Mod[#, 57]] &] (* Vincenzo Librandi, Sep 02 2012 *)

PARI

is(n)=isprime(n) && n%57==46 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 36n log n. - Charles R Greathouse IV, Jul 02 2016