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A229947 Primes congruent to {1, 11, 13, 17, 19, 29} mod 30. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified June 25 20:26 EDT 2017. Contains 288730 sequences.