A180448 Primes of the form floor(k^sqrt(2)).

2, 7, 29, 37, 41, 59, 79, 89, 197, 281, 311, 431, 491, 571, 607, 617, 673, 683, 751, 997, 1019, 1051, 1117, 1217, 1229, 1297, 1321, 1367, 1571, 1583, 1607, 1657, 1669, 1871, 1949, 2309, 2447, 2503, 2531, 2687, 2903, 3413, 3613, 3739, 3881, 3929, 4057, 4073, 4219

Offset: 1

Author

William A. Tedeschi, Sep 07 2010

Keywords

• easy
• nonn

Links

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

Programs

Mathematica

Select[Floor[Range[0,500]^Sqrt[2]],PrimeQ] (* Harvey P. Dale, May 20 2011 *)

PARI

for(n=1, 154392, if(ispseudoprime(t=floor(n^sqrt(2))), print1(t", "))); v \\ Charles R Greathouse IV, Feb 18 2011

Formula

A134886 INTERSECT A000040.

Extensions

Formula rewritten by R. J. Mathar, Sep 09 2010