A142592 Primes congruent to 29 mod 54.

29, 83, 137, 191, 353, 461, 569, 677, 839, 947, 1109, 1163, 1217, 1433, 1487, 1811, 1973, 2027, 2081, 2243, 2297, 2351, 2459, 2621, 2729, 2837, 2999, 3323, 3539, 3593, 3701, 3863, 3917, 4079, 4133, 4241, 4349, 4457, 4673, 4889, 4943, 5051, 5483, 5591, 5807

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, A141949.

Programs

Magma

[p: p in PrimesUpTo(6000) | p mod 54 eq 29]; // Vincenzo Librandi, Aug 30 2012

Mathematica

Select[Prime[Range[800]], MemberQ[{29}, Mod[#, 54]] &] (* Vincenzo Librandi, Aug 30 2012 *)
Select[Range[29,6000,54],PrimeQ] (* Harvey P. Dale, Aug 03 2013 *)

PARI

is(n)=isprime(n) && n%54==29 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 18n log n. - Charles R Greathouse IV, Jul 03 2016