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.

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.

Terms

    a(0) =271a(1) =444a(2) =855a(3) =737a(4) =840a(5) =1887a(6) =1893a(7) =2537a(8) =2897a(9) =3961a(10) =3816a(11) =6596a(12) =8595a(13) =6383a(14) =9260a(15) =8327a(16) =9525a(17) =9405a(18) =13454a(19) =16525a(20) =12122a(21) =12167a(22) =15336a(23) =14721a(24) =22943a(25) =20988a(26) =22444a(27) =25844a(28) =28443a(29) =26336

External references