A142312 Primes congruent to 1 mod 45.

181, 271, 541, 631, 811, 991, 1171, 1531, 1621, 1801, 2161, 2251, 2341, 2521, 2791, 2971, 3061, 3331, 3511, 3691, 4051, 4231, 4591, 4861, 4951, 5581, 5851, 6121, 6211, 6301, 6481, 6571, 6661, 6841, 7561, 7741, 8011, 8101, 8191, 8461, 8641, 8731, 8821, 9001

Offset

1,1

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[Prime[Range[3000]], MemberQ[{1}, Mod[#, 45]]&] (* Vincenzo Librandi, Aug 25 2012 *)
Select[Range[1, 10000, 45], PrimeQ] (* Harvey P. Dale, Mar 10 2016 *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 1]; // Vincenzo Librandi, Aug 25 2012
(PARI) is(n)=isprime(n) && n%45==1 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A053140 A330366 A107694 * A020360 A238670 A168473

Adjacent sequences: A142309 A142310 A142311 * A142313 A142314 A142315

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved