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A142730 Primes congruent to 3 mod 59. 3

%I #13 Sep 08 2022 08:45:37

%S 3,239,593,829,947,1301,2953,3307,3779,4133,4723,5077,5431,5903,6257,

%T 7673,8263,8971,9679,10151,10859,11213,12157,12511,12983,13219,13337,

%U 13691,14281,14753,15107,15461,16759,17231,17467,17939,19001,19237,19709,20063,20771

%N Primes congruent to 3 mod 59.

%C Primes congruent to 3 mod 118. - Vladimir Joseph Stephan Orlovsky, Jul 14 2011.

%H Vincenzo Librandi, <a href="/A142730/b142730.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 58n log n. - _Charles R Greathouse IV_, Jul 02 2016

%t Select[Range[3, 30000, 118], PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Jul 14 2011 *)

%t Select[Prime[Range[2600]], MemberQ[{3}, Mod[#, 59]] &] (* _Vincenzo Librandi_, Sep 02 2012 *)

%o (Magma) [p: p in PrimesUpTo(21000) | p mod 59 eq 3 ]; // _Vincenzo Librandi_, Sep 02 2012

%o (PARI) is(n)=isprime(n) && n%59==3 \\ _Charles R Greathouse IV_, Jul 02 2016

%Y Cf. A000040, A142322.

%K nonn,easy

%O 1,1

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

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)