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.

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

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