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A132233
Primes congruent to 13 (mod 30).
10
13, 43, 73, 103, 163, 193, 223, 283, 313, 373, 433, 463, 523, 613, 643, 673, 733, 823, 853, 883, 1033, 1063, 1093, 1123, 1153, 1213, 1303, 1423, 1453, 1483, 1543, 1663, 1693, 1723, 1753, 1783, 1873, 1933, 1993, 2053, 2083, 2113, 2143, 2203, 2293, 2383
OFFSET
1,1
COMMENTS
Primes ending in 3 with (SOD-1)/3 integer where SOD is sum of digits. - Ki Punches
Subsequence of primes of A082369. - Michel Marcus, Jan 23 2016
FORMULA
a(n) = A158746(n)*30 + 13. - Ray Chandler, Apr 07 2009
Intersection of A030431 and A002476. - Ray Chandler, Apr 07 2009
MAPLE
select(isprime, [seq(30*i+13, i=0..1000)]); # Robert Israel, Jan 24 2016
MATHEMATICA
Select[Prime[Range[1000]], MemberQ[{13}, Mod[#, 30]]&] (* Vincenzo Librandi, Aug 14 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(3000) | p mod 30 eq 13 ]; // Vincenzo Librandi, Aug 14 2012
(PARI) lista(nn) = forprime(p=2, nn, if(p % 30 == 13, print1(p, ", "))); \\ Altug Alkan, Jan 23 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Omar E. Pol, Aug 15 2007
EXTENSIONS
Extended by Ray Chandler, Apr 07 2009
STATUS
approved