

A097433


Integer part of the hypotenuse of prime leg isosceles right triangles.


0



2, 4, 7, 9, 15, 18, 24, 26, 32, 41, 43, 52, 57, 60, 66, 74, 83, 86, 94, 100, 103, 111, 117, 125, 137, 142, 145, 151, 154, 159, 179, 185, 193, 196, 210, 213, 222, 230, 236, 244, 253, 255, 270, 272, 278, 281, 298, 315, 321, 323, 329, 337, 340, 354, 363, 371, 380
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OFFSET

1,1


COMMENTS

The real part of these numbers is irrational.


REFERENCES

Gareth A. Jones and J. Mary Jones, Elementary Number Theory, Springer, 1998; pp. 221222.


LINKS

Table of n, a(n) for n=1..57.


FORMULA

a(n) = floor( sqrt(2*p(n)^2)), where p(n) = nth prime.  N. J. A. Sloane, Feb 23 2015


MATHEMATICA

Floor[Sqrt[2*Prime[Range[80]]^2]] (* Wesley Ivan Hurt, Dec 02 2021 *)


PROG

(PARI) forprime(j=1, 400, print1(floor(sqrt(2*j^2))", "));


CROSSREFS

Sequence in context: A039904 A115162 A278977 * A308758 A110078 A257064
Adjacent sequences: A097430 A097431 A097432 * A097434 A097435 A097436


KEYWORD

nonn


AUTHOR

Cino Hilliard, Aug 22 2004


STATUS

approved



