login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A180448
Primes of the form floor(n^sqrt(2)).
1
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
1,1
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
FORMULA
A134886 INTERSECT A000040.
MATHEMATICA
Select[Floor[Range[0, 500]^Sqrt[2]], PrimeQ] (* Harvey P. Dale, May 20 2011 *)
PROG
(PARI) for(n=1, 154392, if(ispseudoprime(t=floor(n^sqrt(2))), print1(t", "))); v \\ Charles R Greathouse IV, Feb 18 2011
CROSSREFS
Sequence in context: A337429 A059803 A076043 * A116968 A162172 A274682
KEYWORD
easy,nonn
AUTHOR
William A. Tedeschi, Sep 07 2010
EXTENSIONS
Formula rewritten by R. J. Mathar, Sep 09 2010
STATUS
approved