A229947 Primes congruent to {1, 11, 13, 17, 19, 29} mod 30.

11, 13, 17, 19, 29, 31, 41, 43, 47, 59, 61, 71, 73, 79, 89, 101, 103, 107, 109, 131, 137, 139, 149, 151, 163, 167, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 239, 241, 251, 257, 269, 271, 281, 283, 311, 313, 317, 331, 347, 349, 359, 373, 379, 389

Offset

1,1

Comments

For twin primes congruent to {1, 11, 13, 17, 19, 29} mod 30 see A132247.

Complement of A132237, primes congruent to 7 or 23 (mod 30), in the set of primes > 5. - M. F. Hasler, Nov 02 2013

Links

Table of n, a(n) for n=1..54.

Omar E. Pol, Prime numbers in a sieve with 30 columns

Formula

a(n) ~ 4/3 n log n. - Charles R Greathouse IV, Mar 08 2015

Mathematica

Select[Flatten[Table[30n + {1, 11, 13, 17, 19, 29}, {n, 0, 11}]], PrimeQ] (* Alonso del Arte, Nov 01 2013 *)
Select[Prime@Range[100], MemberQ[{1, 11, 13, 17, 19, 29}, Mod[#, 30]] &] (* Vincenzo Librandi, Apr 05 2015 *)

Prog

(PARI) is(n)=isprime(n) && setsearch([1, 11, 13, 17, 19, 29], n%30) \\ Charles R Greathouse IV, Mar 08 2015
(Magma) [p: p in PrimesUpTo(500) | p mod 30 in {1, 11, 13, 17, 19, 29} ]; // Vincenzo Librandi, Apr 05 2015

Crossrefs

Cf. A000040, A001097, A039949, A132230, A132232-A132234, A132236, A132238-A132259, A230462.

Sequence in context: A097358 A230462 A215927 * A132247 A186811 A038926

Adjacent sequences: A229944 A229945 A229946 * A229948 A229949 A229950

Keyword

nonn,easy

Author

Omar E. Pol, Oct 27 2013

Status

approved