login
Primes congruent to 29 mod 47.
1

%I #10 Sep 08 2022 08:45:36

%S 29,311,499,593,1063,1439,1627,1721,2003,2473,3037,3319,3413,4259,

%T 4447,4729,5011,5387,5669,5857,6421,6703,7079,7549,7643,8677,9241,

%U 10181,10369,10463,10651,11027,11497,11779,12343,12437,12907,13001,14411,15727,16103

%N Primes congruent to 29 mod 47.

%H Vincenzo Librandi, <a href="/A142380/b142380.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[{29}, Mod[#, 47]] &] (* _Vincenzo Librandi_, Aug 27 2012 *)

%o (Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 29]; // _Vincenzo Librandi_, Aug 27 2012

%o (PARI) is(n)=isprime(n) && n%47==29 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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