A142603 Primes congruent to 3 mod 55.

3, 113, 223, 443, 773, 883, 1103, 1213, 1433, 1543, 1873, 2203, 2423, 2753, 3083, 3413, 3853, 4073, 4513, 4733, 5393, 5503, 6053, 6163, 6823, 7043, 7703, 8363, 8693, 8803, 9133, 9463, 10343, 10453, 11003, 11113, 11443, 12323, 12433, 12653, 12763, 12983

Offset

1,1

Links

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

Formula

a(n) ~ 40n log n. - Charles R Greathouse IV, Jul 04 2016

Mathematica

Select[Prime[Range[2500]], MemberQ[{3}, Mod[#, 55]] &] (* Vincenzo Librandi, Aug 30 2012 *)
Select[Range[3, 13000, 55], PrimeQ] (* Harvey P. Dale, Dec 16 2019 *)

Prog

(Magma) [p: p in PrimesUpTo(16000) | p mod 55 eq 3]; // Vincenzo Librandi, Aug 30 2012
(PARI) is(n)=isprime(n) && n%55==3 \\ Charles R Greathouse IV, Jul 04 2016

Crossrefs

Cf. A000040.

Sequence in context: A300814 A075051 A139929 * A350053 A249164 A341047

Adjacent sequences: A142600 A142601 A142602 * A142604 A142605 A142606

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved