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A142549 Primes congruent to 19 mod 53. 1

%I #11 Sep 08 2022 08:45:36

%S 19,337,443,761,1291,1609,2351,3517,3623,4153,4259,4789,5107,5531,

%T 5743,5849,6379,6803,7121,7333,7757,8287,8923,9029,9241,10301,10513,

%U 10831,10937,11149,11467,12421,12527,12739,13163,13693,13799,14011,14753,15601,15919

%N Primes congruent to 19 mod 53.

%H Vincenzo Librandi, <a href="/A142549/b142549.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 52n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[2600]], MemberQ[{19}, Mod[#, 53]] &] (* _Vincenzo Librandi_, Aug 29 2012 *)

%t Select[Range[19,16000,53],PrimeQ] (* _Harvey P. Dale_, Jul 20 2022 *)

%o (Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 19]; // _Vincenzo Librandi_, Aug 29 2012

%o (PARI) is(n)=isprime(n) && n%53==19 \\ _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 May 24 18:59 EDT 2024. Contains 372781 sequences. (Running on oeis4.)