A142617 Primes congruent to 23 mod 55.

23, 353, 463, 683, 1013, 1123, 1453, 1783, 2003, 2113, 2333, 2663, 3323, 3433, 4093, 4423, 4643, 4973, 5303, 5413, 5743, 6073, 6733, 7283, 7393, 7723, 8053, 8273, 8713, 8933, 9043, 9923, 10253, 11243, 11353, 11903, 12343, 12893, 13003, 13553, 13883, 14323

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(16000) | p mod 55 eq 23]; // Vincenzo Librandi, Aug 31 2012

Mathematica

Select[Range[23,15000,55],PrimeQ] (* Harvey P. Dale, Apr 22 2012 *)
Select[Prime[Range[2500]], MemberQ[{23}, Mod[#, 55]] &] (* Vincenzo Librandi, Aug 31 2012 *)

PARI

is(n)=isprime(n) && n%55==23 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 40n log n. - Charles R Greathouse IV, Jul 03 2016