A142577 - OEIS

%I #16 Sep 08 2022 08:45:36

%S 47,577,683,1213,1319,1531,1637,2273,2591,2803,2909,3121,3863,4817,

%T 5347,6089,6301,6619,7043,7573,8209,8527,8951,9587,10223,10753,10859,

%U 11071,11177,11813,12343,12979,13297,13721,13933,14251,14887,15629,16477,16901,17431

%N Primes congruent to 47 mod 53.

%H Vincenzo Librandi, <a href="/A142577/b142577.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 52n log n. - _Charles R Greathouse IV_, Jul 04 2016

%t Select[Prime[Range[2100]],Mod[#,53]==47&] (* or *) Select[53Range[ 0,330]+47,PrimeQ] (* _Harvey P. Dale_, Jul 02 2011 *)

%t Select[Prime[Range[2600]], MemberQ[{47}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 30 2012 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 47]; // _Vincenzo Librandi_, Aug 30 2012

%o (PARI) is(n)=isprime(n) && n%53==47 \\ _Charles R Greathouse IV_, Jul 04 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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