A142084 - OEIS

%I #12 Sep 08 2022 08:45:35

%S 47,257,397,467,607,677,887,1097,1237,1307,1447,1657,1867,2287,2357,

%T 2707,2777,2917,3407,3547,3617,3967,4177,4457,4597,4877,5087,5227,

%U 5297,5437,5507,5647,5717,5857,5927,6067,6277,6907,6977,7187,7537,7607,7817,8167

%N Primes congruent to 12 mod 35.

%H Vincenzo Librandi, <a href="/A142084/b142084.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 24n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[1100]],Mod[#,35]==12&]  (* _Harvey P. Dale_, Mar 21 2011 *)

%t Select[Prime[Range[3000]],MemberQ[{12},Mod[#,35]]&] (* _Vincenzo Librandi_, Aug 18 2012 *)

%o (Magma) [p: p in PrimesUpTo(10000) | p mod 35 eq 12 ]; // Vincenzo Librandi_, Aug 18 2012

%o (PARI) is(n)=isprime(n) && n%35==12 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, Jul 11 2008