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Numbers k such that floor(k*sqrt(3)) is prime.
4

%I #18 Nov 28 2021 03:26:59

%S 2,3,8,10,11,17,18,24,25,31,39,41,46,48,60,62,63,76,91,100,105,112,

%T 114,115,122,129,135,138,145,152,157,160,180,181,195,202,204,212,219,

%U 225,232,242,249,250,254,256,264,270,277,284,294,301,302,316,322,329,330,339,346,347,351,354,374,381,382,389,391,399,405,420,427,429,434,444,478,479,493,495,496,509,510,524,526,531,541,547,561,568,576,583,585,590,600

%N Numbers k such that floor(k*sqrt(3)) is prime.

%H Amiram Eldar, <a href="/A184797/b184797.txt">Table of n, a(n) for n = 1..10000</a>

%e See A184796.

%t (See A184796.)

%t Select[Range[600],PrimeQ[Floor[# Sqrt[3]]]&] (* _Harvey P. Dale_, May 21 2017 *)

%o (PARI) is(n)=isprime(sqrtint(3*n^2)) \\ _Charles R Greathouse IV_, May 22 2017

%Y Cf. A002194, A022838, A184796, A184798.

%K nonn

%O 1,1

%A _Clark Kimberling_, Jan 22 2011