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Primes congruent to 35 mod 48.
1

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

%S 83,131,179,227,419,467,563,659,947,1091,1187,1283,1427,1523,1571,

%T 1619,1667,1811,1907,2003,2099,2243,2339,2531,2579,2819,2963,3011,

%U 3203,3251,3299,3347,3491,3539,3779,3923,4019,4211,4259,4451,4547,4643,4691,4787

%N Primes congruent to 35 mod 48.

%H Vincenzo Librandi, <a href="/A142409/b142409.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ 16n log n. - _Charles R Greathouse IV_, Jul 03 2016

%t Select[Prime[Range[1000]], MemberQ[{35}, Mod[#, 48]] &] (* _Vincenzo Librandi_, Aug 27 2012 *)

%t Select[Range[35,4800,48],PrimeQ] (* _Harvey P. Dale_, Nov 10 2014 *)

%o (Magma) [p: p in PrimesUpTo(6000) | p mod 48 eq 35]; // _Vincenzo Librandi_, Aug 27 2012

%o (PARI) is(n)=isprime(n) && n%48==35 \\ _Charles R Greathouse IV_, Jul 03 2016

%Y Cf. A000040.

%K nonn,easy

%O 1,1

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