Skip to content

Instantly share code, notes, and snippets.

@nmanumr
Last active August 20, 2020 14:57
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save nmanumr/b3154743ad88a0dde4bcb497a9f2ff85 to your computer and use it in GitHub Desktop.
Save nmanumr/b3154743ad88a0dde4bcb497a9f2ff85 to your computer and use it in GitHub Desktop.
solutions of x^3 + y^3 + z^3 = n where n < 100
n x y z
0 0 0 0
1 0 0 1
2 0 1 1
3 1 1 1
6 -1 -1 2
7 0 -1 2
8 0 0 2
9 0 1 2
10 1 1 2
11 -2 -2 3
12 7 10 -11
15 -1 2 2
16 -511 -1609 1626
17 1 2 2
18 -1 -2 3
19 0 -2 3
20 1 -2 3
21 -11 -14 16
* 24 -2901096694 -15550555555 15584139827
25 -1 -1 3
26 0 -1 3
27 0 0 3
28 0 1 3
29 1 1 3
* 30 -283059965 -2218888517 2220422932
* 33 8866128975287528 -8778405442862239 -2736111468807040
34 -1 2 3
35 0 2 3
36 1 2 3
37 0 -3 4
38 1 -3 4
* 39 117367 134476 -159380
* 42 -80538738812075974 80435758145817515 12602123297335631
43 2 2 3
44 -5 -7 8
45 2 -3 4
46 -2 3 3
47 6 7 -8
48 -23 -26 31
51 602 659 -796
* 52 23961292454 60702901317 -61922712865
53 -1 3 3
54 -7 -11 12
55 1 3 3
56 -11 -21 22
57 1 -2 4
60 -1 -4 5
61 0 -4 5
62 2 3 3
63 0 -1 4
64 0 0 4
65 0 1 4
66 1 1 4
69 2 -4 5
70 11 20 -21
71 -1 2 4
72 7 9 -10
73 1 2 4
* 74 -284650292555885 66229832190556 283450105697727
* 75 4381159 435203083 -435203231
78 26 53 -55
79 -19 -33 35
80 69241 103532 -112969
81 10 17 -18
82 -11 -11 14
83 -2 3 4
* 84 -8241191 -41531726 41639611
87 -1972 -4126 4271
88 3 -4 5
89 6 6 -7
90 -1 3 4
91 0 3 4
92 1 3 4
93 -5 -5 7
96 10853 13139 -15250
97 -1 -3 5
98 0 -3 5
99 2 3 4
  • 24 : D. J. Bernstein (July 29, 2001) http://cr.yp.to/threecubes.html
  • 30 : Eric Pine, Kim Yarbrough, Wayne Tarrant and Michael Beck, University of Georgia Noam D. Elkies,Rational points near curves and small nonzero |x3-y2| via lattice reduction, ANTS IV (2000) * 39 : D. R. Heath-brown, W. M. Lioen, and H. J. J. Te Riele,On Solving the Diophantine Equation x3+y3+z3=k on a Vector Computer, Math. Comp. 61(1993),235-244.
  • 52 : Eric Pine, Kim Yarbrough, Wayne Tarrant and Michael Beck, University of Georgia
  • 75 : Andrew Bremner (1993)
  • 84 : B. Conn and L. Vaserstein, On sums of three integral cubes, Contemp. Math. 166 (1994), 285-294.
  • 74 : Sander Huisman (2016)
  • 33 : Andrew Booker (27 Feb, 2019)
@nmanumr
Copy link
Author

nmanumr commented Mar 24, 2019

Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment