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Primes congruent to 9 mod 41.
2

%I #16 Sep 08 2022 08:45:35

%S 173,337,419,829,911,1321,1567,2141,2551,2633,2797,2879,3371,3617,

%T 3863,4027,4273,4519,5011,5503,5749,6323,6569,6733,7307,7717,7963,

%U 8209,8291,8537,8783,9029,9439,9521,9767,9931,10177,10259,11161,11243,11489,11981

%N Primes congruent to 9 mod 41.

%H Vincenzo Librandi, <a href="/A142206/b142206.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[Prime[Range[1500]],Mod[#,41]==9&] (* _Harvey P. Dale_, Apr 22 2011 *)

%t Select[Prime[Range[5000]],MemberQ[{9},Mod[#,41]]&] (* _Vincenzo Librandi_, Aug 23 2012 *)

%t Select[Range[9,12000,41],PrimeQ] (* _Harvey P. Dale_, Mar 12 2014 *)

%o (Magma) [p: p in PrimesUpTo(15000) | p mod 41 eq 9 ]; // _Vincenzo Librandi_, Aug 23 2012

%o (PARI) is(n)=isprime(n) && n%41==9 \\ _Charles R Greathouse IV_, Jul 02 2016

%Y Cf. A000040, A059236, A142199, A142200, A142205.

%K nonn,easy

%O 1,1

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