A142427 Primes congruent to 16 mod 49.

163, 359, 457, 653, 751, 947, 2221, 2417, 2711, 3299, 3593, 3691, 5651, 5749, 6043, 6337, 6827, 7121, 7219, 8101, 8297, 8689, 9277, 9473, 9767, 10061, 10159, 10453, 11923, 12119, 12413, 12511, 13001, 13099, 13687, 13883, 14177, 15451, 15647, 16333, 16529, 16823

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(17000) | p mod 49 eq 16]; // Vincenzo Librandi, Aug 28 2012

Mathematica

Select[Prime[Range[2500]], MemberQ[{16}, Mod[#,49]] &] (* Vincenzo Librandi, Aug 28 2012 *)
Select[Range[16,17000,49],PrimeQ] (* Harvey P. Dale, Mar 06 2019 *)

PARI

is(n)=isprime(n) && n%49==16 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 42n log n. - Charles R Greathouse IV, Jul 03 2016