A142204 - OEIS

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

%S 7,89,499,827,991,1237,1319,1483,1811,2221,2467,2549,2713,3041,3533,

%T 3697,3779,3943,4271,4517,5009,5419,5501,6977,7879,8699,8863,9109,

%U 9437,9601,9929,10093,10667,10831,11159,11897,12143,12553,12799,13127,13291,13537

%N Primes congruent to 7 mod 41.

%H Vincenzo Librandi, <a href="/A142204/b142204.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 40n log n. - _Charles R Greathouse IV_, Jul 02 2016

%t Select[Range[7,30000,41],PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, May 17 2011 *)

%t Select[Prime[Range[5000]],MemberQ[{7},Mod[#,41]]&] (* _Vincenzo Librandi_, Aug 23 2012 *)

%o (Magma) [p: p in PrimesUpTo(14000) | p mod 41 eq 7 ]; // _Vincenzo Librandi_, Aug 23 2012

%o (PARI) is(n)=isprime(n) && n%41==7 \\ _Charles R Greathouse IV_, Jul 02 2016

%Y Cf. A000040, A059236, A142199, A142200.

%K nonn,easy

%O 1,1

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