Allemaal Getallen References

Sums of three cubes https://en.wikipedia.org/wiki/Sums_of_three_cubes Wikipedia article (English)	Ref.1
Summe von drei Kubikzahlen https://de.wikipedia.org/wiki/Summe_von_drei_Kubikzahlen Wikipedia article (German)	Ref.2
Cubic Number https://mathworld.wolfram.com/CubicNumber.html Wolfram MathWorld article	Ref.3
Numbers that are not congruent to 4 or 5 mod 9 https://oeis.org/A060464 OEIS A060464	Ref.4
Sums of integer cubes https://www.pnas.org/doi/10.1073/pnas.2103697118 by Samir Siksek Published March 30, 2021	Ref.5
Why the Sum of Three Cubes Is a Hard Math Problem https://www.quantamagazine.org/why-the-sum-of-three-cubes-is-a-hard-math-problem-20191105/ by Patrick Honner November 5, 2019	Ref.6
Hilbert's tenth problem https://en.wikipedia.org/wiki/Hilbert%27s_tenth_problem Wikipedia article (English) This topic is quoted in the Numberphile Video '3 as the sum of the 3 cubes' (@ 4:10)	Ref.7
The uncracked problem with 33 https://www.youtube.com/watch?v=wymmCdLdPvM Youtube Numberphile Video	Ref.8
74 is Cracked https://www.youtube.com/watch?v=_-M_3oV75Lw Youtube Numberphile Video	Ref.9
42 is the new 33 https://www.youtube.com/watch?v=ASoz_NuIvP0 Youtube Numberphile Video	Ref.10
The Mystery of 42 is Solved https://www.youtube.com/watch?v=zyG8Vlw5aAw Youtube Numberphile Video	Ref.11
3 as the sum of 3 cubes https://www.youtube.com/watch?v=GXhzZAem7k0 Youtube Numberphile Video	Ref.12
569936821221962380720 https://www.youtube.com/watch?v=vv0bHK44Q1s Youtube Numberphile Video	Ref.13
SUM OF THREE CUBES (irrational solutions) https://www.youtube.com/watch?v=KkHGFLiEltE Youtube Video by Sir Manny L. Isip	Ref.14
List of solutions of x^3 + y^3 + z^3 = k for k < 1000 https://mysite.science.uottawa.ca/gwalsh/sumofthreecubes20160426.txt by Sander G. Huisman 26-04-2016	Ref.15
List of solutions of x^3 + y^3 + z^3 = k for k < 10000 https://gist.githubusercontent.com/Centrinia/51789c2ebdbc74098faefc7cdf68e1a4/raw/ 5a2de09780b3310a58c10a493f67298dfdf1335f/threecubes.txt https://gist.github.com/Centrinia/51789c2ebdbc74098faefc7cdf68e1a4 x³ + y³ + z³ = k for k < 5130 Last active 5 years ago ! by Josh Liu (Centrinia)	Ref.16
Primitieve gehele oplossingen van x^3+y^3+z^3=n (n in [1..1000]) http://www.kaynet.or.jp/~kay/misc/aa3-1000.html by Hisayasu Nakao 2022.01.15	Ref.17
Solutions of n=x³+y³+z³ How to search the solutions of n=x³+y³+z³ for 0 ⩽ n ⩽ 10000 Partial listings : Solutions of n=x³+y³+z³ for 0 ⩽ n ⩽ 99 Solutions of n=x³+y³+z³ for 100 ⩽ n ⩽ 199 ooo Solutions of n=x³+y³+z³ for 800 ⩽ n ⩽ 899 Solutions of n=x³+y³+z³ for 900 ⩽ n ⩽ 1000 Solutions of n=x³+y³+z³ for 0 ⩽ n ⩽ 1000 by Hisanori Mishima Last updated around 2010	Ref.18
Sums of cubes https://math.mit.edu/~drew/sumsofcubes.html Results from Andrew R. Booker & the Charity Engine	Ref.19
threecubes http://cr.yp.to/threecubes.html by Daniel J. Bernstein Results (n < 1000) from the year 2001 → http://cr.yp.to/threecubes.html/20010729	Ref.20
Solutions of the Diophantine Equation x³+y³+z³=k https://tomrocksmaths.com/wp-content/uploads/2022/10/journal-of-london-math-soc-january-1955-miller- solutions-of-the-diophantine-equation-x3-y3-z3-k.pdf by J.C.P. Miller and M.F.C. Woollett January 1955	Ref.21
Undecidability in Number Theory (pages 1 up to 4) https://www.cs.drexel.edu/~kn33/cs525_winter_2015_e/ Undecidability%20%20in%20%20Number%20Theory.pdf by Bjorn Poonen 2008-2010	Ref.22
On Sums of Three Integral Cubes https://personal.science.psu.edu/lxv1/113P.pdf Pennstate- Department of Mathematics by W. Conn & N. Vaserstein March 1992	Ref.23
On Solving the Diophantine Equation x³ + y³ + z³ = k on a Vector Computer http://euler.free.fr/docs/HLR93.pdf D.R. Heath-Brown, W.M. Lioen and H.J.J. te Riele Mathematics of Computation 61 (203), Juli 1993, S. 235–244	Ref.24
Newer Sums of Three Cubes https://arxiv.org/pdf/1604.07746.pdf by Sander G. Huisman 26 apr 2016	Ref.25
Solutions of the Diophantine Equation x³ + y³ = z³ – d https://cr.yp.to/bib/1964/gardiner.pdf by V.L. Gardiner; R.B. Lazarus; P.R. Stein Mathematics of Computation, Vol. 18, No.87 (Jul., 1964), 408-413. March 20, 2004	Ref.26
Sums of three cubes https://math.mit.edu/~drew/NTW2020.pdf by Andrew Sutherland May 7, 2020	Ref.27
The Density of Zeros of Forms for which Weak Approximations Fails https://www.researchgate.net/publication/237335750_ The_Density_of_Zeros_of_Forms_for_which_Weak_Approximation_Fails From that page you can download the pdf file named [wa.pdf] by D. Roger Heath-Brown 1992	Ref.28
Cracking the problem with 33 https://people.maths.bris.ac.uk/~maarb/papers/cubesv1.pdf By Andrew R. Booker 2019	Ref.29
On the Integer Solutions of the Equation x²+y²+z²+2xyz = n https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/jlms/s1-28.4.500 This pdf file is alas behind a paywall. If someone can send me a copy of this pdf file I would be most obliged. This paper is quoted in the Numberphile Video '3 as the sum of the 3 cubes' (@ 0:55) and briefly in the Numberphile Video '569936821221962380720' (@ 3:20) by L.J. Mordell 1 oct 1953	Ref.30

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Referenties Sum of Three Cubes

Uit de collectie 'Allemaal Getallen' van Ir. Jos Heynderickx
Bewerking & Layout door Patrick De Geest (email)
Laatste update 30 april 2024

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19 F5 = CLEAR

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19		F5 = CLEAR