A180449 Primes of the form floor( (k*(sqrt(3)*k-1))/sqrt(2) ).

3, 167, 197, 577, 631, 809, 1009, 1231, 1741, 1931, 2029, 2339, 3533, 4079, 7207, 10301, 11933, 14741, 17551, 18743, 24943, 26003, 32027, 37813, 42239, 45013, 49831, 51827, 54377, 61843, 76369, 81973, 122849, 128339, 130729, 145531, 154097, 171047, 172883

Offset: 1

Author

William A. Tedeschi, Sep 07 2010, typo in definition corrected Sep 09 2010

Keywords

• easy
• nonn

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Programs

Mathematica

Select[With[{c3=Sqrt[3],c2=Sqrt[2]},Table[Floor[n (c3 n-1)/c2], {n,500}]],PrimeQ] (* Harvey P. Dale, May 05 2011 *)

PARI

for(n=1, 1e4, if(ispseudoprime(t=floor((n*(sqrt(3)*n-1))/sqrt(2))), print1(t", "))); v \\ Charles R Greathouse IV, Feb 18 2011