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Numbers k such that 2357*k + 11 is prime.
0

%I #21 Jan 19 2025 18:41:48

%S 0,4,6,10,18,34,40,48,54,70,76,90,96,106,120,130,136,166,178,180,190,

%T 196,204,208,216,234,238,244,258,276,294,300,316,346,348,360,364,376,

%U 378,400,406,420,438,444,448,466,468,504,508,510,538,564,568,570,586

%N Numbers k such that 2357*k + 11 is prime.

%C All terms must be even. - _Harvey P. Dale_, Aug 29 2023

%e If k=0 then 2357*k + 11 = 11 (prime).

%e If k=70 then 2357*k + 11 = 165001 (prime).

%t Select[Range[0,600,2],PrimeQ[2357#+11]&] (* _Harvey P. Dale_, Aug 29 2023 *)

%o (Magma) [n: n in [0..600] | IsPrime(2357*n+11)]; // _Vincenzo Librandi_, Nov 13 2010

%o (PARI) is(n)=isprime(2357*n+11) \\ _Charles R Greathouse IV_, Jun 13 2017

%K nonn,easy

%O 1,2

%A _Parthasarathy Nambi_, Jul 16 2005