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 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 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

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