A142734 Primes congruent to 7 mod 59.

7, 479, 1069, 1187, 1423, 1777, 2131, 2957, 3547, 4019, 4373, 5081, 6143, 6379, 6733, 7559, 10037, 10273, 10391, 10627, 11689, 11807, 12043, 12161, 13577, 13931, 14639, 15583, 15937, 16763, 17117, 17471, 17707, 18061, 19477, 19949, 21011, 21247, 21601

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Comments

Primes congruent to 7 mod 118. - Vladimir Joseph Stephan Orlovsky, Jul 14 2011

Links

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

Crossrefs

Cf. A000040, A142779.

Programs

Magma

[p: p in PrimesUpTo(22000) | p mod 59 eq 7 ]; // Vincenzo Librandi, Sep 02 2012

Mathematica

Select[Range[7, 30000, 118], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jul 14 2011 *)
Select[Prime[Range[2600]], MemberQ[{7}, Mod[#, 59]] &] (* Vincenzo Librandi, Sep 02 2012 *)

PARI

is(n)=isprime(n) && n%59==7 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 58n log n. - Charles R Greathouse IV, Jul 02 2016