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A142364 Primes congruent to 13 mod 47. 1

%I

%S 13,107,389,577,859,953,1423,1987,2081,2269,2551,2833,2927,3209,3491,

%T 4243,4337,5653,6029,6217,6311,6781,8191,8849,9319,9413,9601,9883,

%U 10259,10729,12421,12703,13267,13831,14207,14489,14771,15053,15241,16087,16369,16651

%N Primes congruent to 13 mod 47.

%H Vincenzo Librandi, <a href="/A142364/b142364.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 46n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[2500]],MemberQ[{13},Mod[#,47]]&] (* _Vincenzo Librandi_, Aug 27 2012 *)

%t Select[Range[13,17000,47],PrimeQ] (* _Harvey P. Dale_, Mar 24 2013 *)

%o (MAGMA) [p: p in PrimesUpTo(18000) | p mod 47 eq 13]; // _Vincenzo Librandi_, Aug 27 2012

%o (PARI) is(n)=isprime(n) && n%47==13 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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

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Last modified August 8 01:03 EDT 2022. Contains 355995 sequences. (Running on oeis4.)