A142332 Primes congruent to 38 mod 45.

83, 173, 263, 353, 443, 983, 1163, 1433, 1523, 1613, 1973, 2063, 2153, 2243, 2333, 2423, 2693, 2963, 3323, 3413, 3593, 3863, 4133, 4493, 4583, 4673, 4943, 5303, 5393, 5483, 5573, 5843, 6113, 6203, 6473, 6563, 6653, 6833, 7013, 7103, 7193, 7283, 7643, 7823

Offset

1,1

Comments

Also primes with digital root 2 and last digit 3. - J. W. Helkenberg, Oct 27 2011

Links

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

Mathematica

Select[Prime[Range[1200]], MemberQ[{38}, Mod[#, 45]]&] (* Vincenzo Librandi, Aug 26 2012 *)
Select[Range[38, 8000, 45], PrimeQ] (* Harvey P. Dale, Aug 10 2020 *)

Prog

(PARI) forprime(p=2, 1e4, if(p%45==38, print1(p", "))) \\ Charles R Greathouse IV, Oct 31 2011
(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 38]; // Vincenzo Librandi, Aug 26 2012

Crossrefs

Cf. A000040.

Sequence in context: A136079 A118359 A084866 * A111078 A106962 A137364

Adjacent sequences: A142329 A142330 A142331 * A142333 A142334 A142335

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved