login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

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 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; text; internal format)
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. 221-222.

LINKS

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

FORMULA

a(n) = floor( sqrt(2*p(n)^2)), where p(n) = n-th 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 7 07:00 EST 2022. Contains 358649 sequences. (Running on oeis4.)