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 A180450 Primes of the form floor( (n^sqrt(2) + n)/sqrt(2) ). 1
 3, 5, 7, 13, 19, 43, 67, 71, 89, 103, 107, 127, 137, 163, 191, 311, 317, 337, 383, 397, 431, 547, 569, 577, 599, 607, 653, 661, 677, 701, 709, 733, 757, 823, 857, 977, 1021, 1039, 1129, 1193, 1249, 1277, 1381, 1459, 1699, 1709, 1823, 1949, 2099, 2131, 2153, 2521, 2647 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Intersection of A000040 with the sequence 1, 3, 5, 7, 10, 13, 16, 19, 22, 25, 28, 32, 35, ... defined by the floor function. LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 MAPLE select(isprime, [seq(floor((n^sqrt(2)+n)/sqrt(2)), n=1..350)]); # Muniru A Asiru, Sep 29 2018 MATHEMATICA Select[With[{b = Sqrt[2]}, Table[Floor[(n^b + n)/b], {n, 500}]], PrimeQ] (* G. C. Greubel, Sep 29 2018 *) PROG (PARI) for(n=1, 148438, if(ispseudoprime(t=floor((n^sqrt(2)+n)/sqrt(2))), print1(t", "))); v \\ Charles R Greathouse IV, Feb 18 2011 CROSSREFS Sequence in context: A330222 A154700 A187872 * A051507 A173145 A060274 Adjacent sequences:  A180447 A180448 A180449 * A180451 A180452 A180453 KEYWORD easy,nonn AUTHOR William A. Tedeschi, Sep 07 2010 EXTENSIONS Formula replaced by a comment - R. J. Mathar, Sep 09 2010 STATUS approved

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Last modified April 16 11:10 EDT 2021. Contains 343037 sequences. (Running on oeis4.)