The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A031175 Shortest edge c of (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a^2 + b^2), sqrt(b^2 + c^2), sqrt(a^2 + c^2) are integers). 18
 44, 240, 140, 85, 160, 1008, 187, 429, 832, 780, 828, 1560, 528, 195, 1155, 1755, 495, 1575, 2964, 7840, 2925, 1008, 4368, 1080, 10296, 7579, 8789, 6072, 14112, 5643, 4599, 4900, 6435, 935, 7920, 7800, 4928, 7560, 23760, 1105, 2163, 2964 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Primitive means that gcd(a,b,c) = 1. See A031173 for a list of the 3356 primitive bricks with c < b < a < 5*10^8. - Giovanni Resta, Mar 23 2014 REFERENCES Calculated by F. Helenius (fredh(AT)ix.netcom.com). LINKS Giovanni Resta, Table of n, a(n) for n = 1..3556 R. R. Gallyamov, I. R. Kadyrov, D. D. Kashelevskiy, A fast modulo primes algorithm for searching perfect cuboids and its implementation, arXiv preprint arXiv:1601.00636 [math.NT], 2016. A. A. Masharov and R. A. Sharipov, A strategy of numeric search for perfect cuboids in the case of the second cuboid conjecture, arXiv preprint, 2015. J. Ramsden and H. Sharipov, Inverse problems associated with perfect cuboids, arXiv preprint arXiv:1207.6764, 2012. - From N. J. A. Sloane, Dec 23 2012 J. Ramsden and H. Sharipov, On singularities of the inverse problems associated with perfect cuboids, arXiv preprint arXiv:1208.1859, 2012. - From N. J. A. Sloane, Dec 25 2012 Ruslan Sharipov, Perfect cuboids and irreducible polynomials, arXiv:1108.5348, 2011 Ruslan Sharipov, A note on the first cuboid conjecture, arXiv:1109.2534, 2011 Ruslan Sharipov, A note on the second cuboid conjecture. Part I, arXiv:1201.1229, 2012 Ruslan Sharipov, Perfect cuboids and multisymmetric polynomials, arXiv preprint arXiv:1205.3135, 2012. - From N. J. A. Sloane, Oct 22 2012 Ruslan Sharipov, On an ideal of multisymmetric polynomials associated with perfect cuboids, arXiv preprint arXiv:1206.6769, 2012. - From N. J. A. Sloane, Dec 17 2012 Ruslan Sharipov, On the equivalence of cuboid equations and their factor equations, arXiv preprint arXiv:1207.2102, 2012. - From N. J. A. Sloane, Dec 22 2012 Ruslan Sharipov, A biquadratic Diophantine equation associated with perfect cuboids, arXiv preprint arXiv:1207.4081, 2012. - From N. J. A. Sloane, Dec 23 2012 Ruslan Sharipov, On a pair of cubic equations associated with perfect cuboids, arXiv preprint arXiv:1208.0308, 2012. - From N. J. A. Sloane, Dec 23 2012 Ruslan Sharipov, On two elliptic curves associated with perfect cuboids, arXiv preprint arXiv:1208.1227, 2012. - From N. J. A. Sloane, Dec 24 2012 Ruslan Sharipov, Asymptotic estimates for roots of the cuboid characteristic equation in the linear region, arXiv preprint, 2015. Ruslan Sharipov, Reverse asymptotic estimates for roots of the cuboid characteristic equation in the case of the second cuboid conjecture, arXiv preprint, 2015. Ruslan Sharipov, A note on invertible quadratic transformations of the real plane, arXiv preprint arXiv:1507.01861, 2015 Eric Weisstein's World of Mathematics, Euler Brick CROSSREFS Cf. A031173, A031174. Sequence in context: A233949 A233942 A122245 * A098826 A160284 A060836 Adjacent sequences:  A031172 A031173 A031174 * A031176 A031177 A031178 KEYWORD nonn AUTHOR STATUS approved

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

Last modified May 16 08:07 EDT 2021. Contains 343940 sequences. (Running on oeis4.)