A142744 - OEIS

%I #16 Sep 08 2022 08:45:37

%S 17,607,1433,1669,1787,2141,2377,2731,3203,3557,3793,3911,4973,5209,

%T 5563,6271,6389,7333,7451,7687,8513,8867,9103,9221,9811,9929,11699,

%U 12289,13469,14177,14767,15121,16183,16301,17599,18307,18661,19841,20431,20549,20903

%N Primes congruent to 17 mod 59.

%H Vincenzo Librandi, <a href="/A142744/b142744.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 58n log n. - _Charles R Greathouse IV_, Jul 02 2016

%t Select[Range[17, 30000, 118], PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Jul 15 2011 *)

%t Select[Prime[Range[2600]], MemberQ[{17}, Mod[#, 59]] &] (* _Vincenzo Librandi_, Sep 03 2012 *)

%o (Magma) [p: p in PrimesUpTo(21000) | p mod 59 eq 17 ]; // _Vincenzo Librandi_, Sep 03 2012

%o (PARI) is(n)=isprime(n) && n%59==17 \\ _Charles R Greathouse IV_, Jul 02 2016

%Y Cf. A000040, A142740, A142742.

%K nonn,easy

%O 1,1

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