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A132235 Primes congruent to 23 (mod 30). 12
23, 53, 83, 113, 173, 233, 263, 293, 353, 383, 443, 503, 563, 593, 653, 683, 743, 773, 863, 953, 983, 1013, 1103, 1163, 1193, 1223, 1283, 1373, 1433, 1493, 1523, 1553, 1583, 1613, 1733, 1823, 1913, 1973, 2003, 2063, 2153, 2213, 2243, 2273, 2333, 2393 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes (excluding 3) ending in 3 with (SOD-1)/3 non-integer where SOD is sum of digits. - Ki Punches

The sequence is infinite by Dirichlet's theorem. - Arkadiusz Wesolowski, Apr 02 2014

Terms are non-twin primes A007510. - Omar E. Pol, Jul 25 2019

LINKS

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

C. K. Caldwell, The Prime Pages.

Omar E. Pol, Determinacion geometrica de los numeros primos y perfectos.

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

FORMULA

a(n) = A158791(n)*30 + 23. - Chandler

Intersection of A030431 and A007528. - Chandler

MATHEMATICA

Select[Prime[Range[1000]], MemberQ[{23}, Mod[#, 30]]&] (* Vincenzo Librandi, Aug 14 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(3000) | p mod 30 eq 23 ]; // Vincenzo Librandi, Aug 14 2012

(PARI) is(n)=isprime(n) && n%30==23 \\ Charles R Greathouse IV, Jul 01 2016

CROSSREFS

Cf. A000040, A039949, A132230-A132236.

Sequence in context: A055782 A104802 A128473 * A277993 A051650 A049438

Adjacent sequences:  A132232 A132233 A132234 * A132236 A132237 A132238

KEYWORD

nonn,easy

AUTHOR

Omar E. Pol, Aug 15 2007

EXTENSIONS

Extended by Ray Chandler, Apr 07 2009

STATUS

approved

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Last modified October 17 21:16 EDT 2019. Contains 328132 sequences. (Running on oeis4.)