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

1,1

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

Formula

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

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 *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 7]; // Vincenzo Librandi, Aug 25 2012
(PARI) is(n)=isprime(n) && n%45==7 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A177879 A090687 A116125 * A359637 A116288 A219088

Adjacent sequences: A142312 A142313 A142314 * A142316 A142317 A142318

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved