A142315 Primes congruent to 7 mod 45.

7, 97, 277, 367, 457, 547, 727, 907, 997, 1087, 1447, 1627, 1987, 2347, 2437, 2617, 2707, 2797, 2887, 3067, 3517, 3607, 3697, 3877, 3967, 4057, 4327, 4507, 4597, 4957, 5227, 5407, 5857, 6037, 6217, 6397, 6577, 7027, 7207, 7297, 7477, 7927, 8017, 8287, 8377

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Comments

Primes congruent to 7 mod 90. - Vladimir Joseph Stephan Orlovsky, Jul 14 2011.

Links

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

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(10000) | p mod 45 eq 7]; // Vincenzo Librandi, Aug 25 2012

Mathematica

Select[Range[7, 30000, 90], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jul 14 2011 *)
Select[Prime[Range[3000]],MemberQ[{7},Mod[#,45]]&] (* Vincenzo Librandi, Aug 25 2012 *)

PARI

is(n)=isprime(n) && n%45==7 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 02 2016