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A141029 Nearest integer to the space diagonal of the smallest (measured by the longest edge) primitive (gcd(a,b,c)=1) Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers). If the space diagonal is an integer then the Euler brick is called a "perfect cuboid". There are no known perfect cuboids. 0
271, 444, 855, 737, 840, 1887, 1893, 2537, 2897, 3961, 3816, 6596, 8595, 6383, 9260, 8327, 9525, 9405, 13454, 16525, 12122, 12167, 15336, 14721, 22943, 20988, 22444, 25844, 28443, 26336, 30382, 29714, 35079, 31094, 31700, 38989, 32965 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..37.

Eric Weisstein's World of Mathematics, Euler Brick.

EXAMPLE

a(1)=271 because sqrt(240^2 + 117^2 + 44^2) = 270.60, where 240 is the longest edge, 117 the intermediate edge and 44 the smallest edge, of the smallest primitive Euler brick.

CROSSREFS

Cf. A031173, A031174, A031175.

Sequence in context: A020363 A051965 A142762 * A090838 A086708 A142637

Adjacent sequences:  A141026 A141027 A141028 * A141030 A141031 A141032

KEYWORD

nonn

AUTHOR

Darrell Minor, Jul 29 2008

STATUS

approved

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Last modified June 19 11:52 EDT 2021. Contains 345128 sequences. (Running on oeis4.)