A142796 - OEIS

%I #11 Aug 01 2024 12:27:06

%S 47,107,167,227,347,467,587,647,827,887,947,1187,1307,1367,1427,1487,

%T 1607,1667,1787,1847,1907,2027,2087,2207,2267,2447,2687,2927,3167,

%U 3347,3407,3467,3527,3767,3947,4007,4127,4547,4787,4967,5087,5147,5387,5507,5807

%N Primes congruent to 47 mod 60.

%H Vincenzo Librandi, <a href="/A142796/b142796.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 16n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[900]], MemberQ[{47}, Mod[#, 60]] &] (* _Vincenzo Librandi_, Sep 04 2012 *)

%t Select[Range[47,6000,60],PrimeQ] (* _Harvey P. Dale_, Aug 01 2024 *)

%o (Magma) [p: p in PrimesUpTo(6000) | p mod 60 eq 47 ]; // _Vincenzo Librandi_, Sep 04 2012

%o (PARI) is(n)=isprime(n) && n%60==47 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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