Sums of three cubes (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Sums of three cubes" in English language version.

Last modified: 17:11:51, 12 September 2026 (UTC)

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adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ui.adsabs.harvard.edu

Heath-Brown, D. R.; Lioen, W. M.; te Riele, H. J. J. (1993), "On solving the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ on a vector computer", Mathematics of Computation, 61 (203): 235–244, Bibcode:1993MaCom..61..235H, doi:10.2307/2152950, JSTOR 2152950, MR 1202610
Beck, Michael; Pine, Eric; Tarrant, Wayne; Yarbrough Jensen, Kim (2007), "New integer representations as the sum of three cubes", Mathematics of Computation, 76 (259): 1683–1690, Bibcode:2007MaCom..76.1683B, doi:10.1090/S0025-5718-07-01947-3, MR 2299795
Elsenhans, Andreas-Stephan; Jahnel, Jörg (2009), "New sums of three cubes", Mathematics of Computation, 78 (266): 1227–1230, Bibcode:2009MaCom..78.1227E, doi:10.1090/S0025-5718-08-02168-6, MR 2476583
Heath-Brown, D. R.; Lioen, W.M.; te Riele, H.J.J (1993), "On solving the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ on a vector computer", Mathematics of Computation, 61 (203): 235–244, Bibcode:1993MaCom..61..235H, doi:10.2307/2152950, JSTOR 2152950, MR 1202610
Booker, Andrew R.; Sutherland, Andrew V. (2021), "On a question of Mordell", Proceedings of the National Academy of Sciences, 118 (11) e2022377118, arXiv:2007.01209, Bibcode:2021PNAS..11822377B, doi:10.1073/pnas.2022377118, PMC 7980389, PMID 33692126
Heath-Brown, D. R. (1992), "The density of zeros of forms for which weak approximation fails", Mathematics of Computation, 59 (200): 613–623, Bibcode:1992MaCom..59..613H, doi:10.1090/s0025-5718-1992-1146835-5, JSTOR 2153078, MR 1146835
Wooley, Trevor D. (1995), "Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour" (PDF), Inventiones Mathematicae, 122 (3): 421–451, Bibcode:1995InMat.122..421W, doi:10.1007/BF01231451, hdl:2027.42/46588, MR 1359599

ams.org (Global: 434^th place; English: 249^th place)

mathscinet.ams.org

Davenport, H. (1939), "On Waring's problem for cubes", Acta Mathematica, 71: 123–143, doi:10.1007/BF02547752, MR 0000026
Machis, Yu. Yu. (2007), "On Euler's hypothetical proof", Mathematical Notes, 82 (3): 352–356, doi:10.1134/S0001434607090088, MR 2364600, S2CID 121798358
Mahler, Kurt (1936), "Note on Hypothesis K of Hardy and Littlewood", Journal of the London Mathematical Society, 11 (2): 136–138, doi:10.1112/jlms/s1-11.2.136, MR 1574761
Mordell, L.J. (1942), "On sums of three cubes", Journal of the London Mathematical Society, Second Series, 17 (3): 139–144, doi:10.1112/jlms/s1-17.3.139, MR 0007761
Heath-Brown, D. R.; Lioen, W. M.; te Riele, H. J. J. (1993), "On solving the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ on a vector computer", Mathematics of Computation, 61 (203): 235–244, Bibcode:1993MaCom..61..235H, doi:10.2307/2152950, JSTOR 2152950, MR 1202610
Mordell, L.J. (1953), "On the integer solutions of the equation $x^{2}+y^{2}+z^{2}+2xyz=n$ ", Journal of the London Mathematical Society, Second Series, 28: 500–510, doi:10.1112/jlms/s1-28.4.500, MR 0056619
The equality mod 9 of numbers whose cubes sum to 3 was credited to J. W. S. Cassels by Mordell (1953), but its proof was not published until Cassels, J. W. S. (1985), "A note on the Diophantine equation $x^{3}+y^{3}+z^{3}=3$ ", Mathematics of Computation, 44 (169): 265–266, doi:10.2307/2007811, JSTOR 2007811, MR 0771049, S2CID 121727002.
Miller, J. C. P.; Woollett, M. F. C. (1955), "Solutions of the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ ", Journal of the London Mathematical Society, Second Series, 30: 101–110, doi:10.1112/jlms/s1-30.1.101, MR 0067916
Gardiner, V. L.; Lazarus, R. B.; Stein, P. R. (1964), "Solutions of the diophantine equation $x^{3}+y^{3}=z^{3}-d$ ", Mathematics of Computation, 18 (87): 408–413, doi:10.2307/2003763, JSTOR 2003763, MR 0175843
Conn, W.; Vaserstein, L. N. (1994), "On sums of three integral cubes", The Rademacher legacy to mathematics (University Park, PA, 1992), Contemporary Mathematics, vol. 166, Providence, Rhode Island: American Mathematical Society, pp. 285–294, doi:10.1090/conm/166/01628, ISBN 978-0-8218-5173-9, MR 1284068
Bremner, Andrew (1995), "On sums of three cubes", Number theory (Halifax, NS, 1994), CMS Conference Proceedings, vol. 15, Providence, Rhode Island: American Mathematical Society, pp. 87–91, MR 1353923
Koyama, Kenji; Tsuruoka, Yukio; Sekigawa, Hiroshi (1997), "On searching for solutions of the Diophantine equation $x^{3}+y^{3}+z^{3}=n$ ", Mathematics of Computation, 66 (218): 841–851, doi:10.1090/S0025-5718-97-00830-2, MR 1401942
Elkies, Noam D. (2000), "Rational points near curves and small nonzero $|x^{3}-y^{2}|$ via lattice reduction", Algorithmic number theory (Leiden, 2000), Lecture Notes in Computer Science, vol. 1838, Springer, Berlin, pp. 33–63, arXiv:math/0005139, doi:10.1007/10722028_2, ISBN 978-3-540-67695-9, MR 1850598, S2CID 40620586
Beck, Michael; Pine, Eric; Tarrant, Wayne; Yarbrough Jensen, Kim (2007), "New integer representations as the sum of three cubes", Mathematics of Computation, 76 (259): 1683–1690, Bibcode:2007MaCom..76.1683B, doi:10.1090/S0025-5718-07-01947-3, MR 2299795
Elsenhans, Andreas-Stephan; Jahnel, Jörg (2009), "New sums of three cubes", Mathematics of Computation, 78 (266): 1227–1230, Bibcode:2009MaCom..78.1227E, doi:10.1090/S0025-5718-08-02168-6, MR 2476583
Booker, Andrew R. (2019), "Cracking the problem with 33", Research in Number Theory, 5 (26) 26, arXiv:1903.04284, doi:10.1007/s40993-019-0162-1, hdl:1983/b29fce73-2c20-4c07-9daf-afc04bf269b1, MR 3983550
Heath-Brown, D. R.; Lioen, W.M.; te Riele, H.J.J (1993), "On solving the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ on a vector computer", Mathematics of Computation, 61 (203): 235–244, Bibcode:1993MaCom..61..235H, doi:10.2307/2152950, JSTOR 2152950, MR 1202610
Heath-Brown, D. R. (1992), "The density of zeros of forms for which weak approximation fails", Mathematics of Computation, 59 (200): 613–623, Bibcode:1992MaCom..59..613H, doi:10.1090/s0025-5718-1992-1146835-5, JSTOR 2153078, MR 1146835
Poonen, Bjorn (2008), "Undecidability in number theory" (PDF), Notices of the American Mathematical Society, 55 (3): 344–350, MR 2382821
Balog, Antal; Brüdern, Jörg (1995), "Sums of three cubes in three linked three-progressions", Journal für die Reine und Angewandte Mathematik, 1995 (466): 45–85, doi:10.1515/crll.1995.466.45, MR 1353314, S2CID 118818354
Deshouillers, Jean-Marc; Hennecart, François; Landreau, Bernard (2006), "On the density of sums of three cubes", in Hess, Florian; Pauli, Sebastian; Pohst, Michael (eds.), Algorithmic Number Theory: 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings, Lecture Notes in Computer Science, vol. 4076, Berlin: Springer, pp. 141–155, doi:10.1007/11792086_11, ISBN 978-3-540-36075-9, MR 2282921
Wooley, Trevor D. (1995), "Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour" (PDF), Inventiones Mathematicae, 122 (3): 421–451, Bibcode:1995InMat.122..421W, doi:10.1007/BF01231451, hdl:2027.42/46588, MR 1359599
Wooley, Trevor D. (2000), "Sums of three cubes", Mathematika, 47 (1–2): 53–61 (2002), doi:10.1112/S0025579300015710, hdl:2027.42/152941, MR 1924487
Wooley, Trevor D. (2015), "Sums of three cubes, II", Acta Arithmetica, 170 (1): 73–100, arXiv:1502.01944, doi:10.4064/aa170-1-6, MR 3373831, S2CID 119155786
Richmond, H. W. (1923), "On analogues of Waring's problem for rational numbers", Proceedings of the London Mathematical Society, Second Series, 21: 401–409, doi:10.1112/plms/s2-21.1.401, MR 1575369
Davenport, H.; Landau, E. (1969), "On the representation of positive integers as sums of three cubes of positive rational numbers", Number Theory and Analysis (Papers in Honor of Edmund Landau), New York: Plenum, pp. 49–53, MR 0262198

ams.org

Heath-Brown, D. R.; Lioen, W.M.; te Riele, H.J.J (1993), "On solving the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ on a vector computer", Mathematics of Computation, 61 (203): 235–244, Bibcode:1993MaCom..61..235H, doi:10.2307/2152950, JSTOR 2152950, MR 1202610
Poonen, Bjorn (2008), "Undecidability in number theory" (PDF), Notices of the American Mathematical Society, 55 (3): 344–350, MR 2382821

aperiodical.com (Global: low place; English: low place)

Houston, Robin (September 6, 2019), "42 is the answer to the question 'what is (-80538738812075974)³ + 80435758145817515³ + 12602123297335631³?'", The Aperiodical

archive.org (Global: 6^th place; English: 6^th place)

Dickson, Leonard Eugene (1920), History of the Theory of Numbers, Vol. II: Diophantine Analysis, Carnegie Institution of Washington, p. 717

arxiv.org (Global: 49^th place; English: 31^st place)

Elkies, Noam D. (2000), "Rational points near curves and small nonzero $|x^{3}-y^{2}|$ via lattice reduction", Algorithmic number theory (Leiden, 2000), Lecture Notes in Computer Science, vol. 1838, Springer, Berlin, pp. 33–63, arXiv:math/0005139, doi:10.1007/10722028_2, ISBN 978-3-540-67695-9, MR 1850598, S2CID 40620586
Huisman, Sander G. (2016), Newer sums of three cubes, arXiv:1604.07746
Booker, Andrew R. (2019), "Cracking the problem with 33", Research in Number Theory, 5 (26) 26, arXiv:1903.04284, doi:10.1007/s40993-019-0162-1, hdl:1983/b29fce73-2c20-4c07-9daf-afc04bf269b1, MR 3983550
Booker, Andrew R.; Sutherland, Andrew V. (2021), "On a question of Mordell", Proceedings of the National Academy of Sciences, 118 (11) e2022377118, arXiv:2007.01209, Bibcode:2021PNAS..11822377B, doi:10.1073/pnas.2022377118, PMC 7980389, PMID 33692126
Wooley, Trevor D. (2015), "Sums of three cubes, II", Acta Arithmetica, 170 (1): 73–100, arXiv:1502.01944, doi:10.4064/aa170-1-6, MR 3373831, S2CID 119155786

bbc.com (Global: 26^th place; English: 23^rd place)

Paul, Fernanda (September 12, 2019), "Enigma de la suma de 3 cubos: matemáticos encuentran la solución final después de 65 años", BBC News Mundo

bristol.ac.uk (Global: 7,934^th place; English: 4,709^th place)

Sum of three cubes for 42 finally solved – using real life planetary computer, University of Bristol, September 6, 2019

cwi.nl (Global: low place; English: low place)

ir.cwi.nl

Heath-Brown, D. R.; Lioen, W. M.; te Riele, H. J. J. (1993), "On solving the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ on a vector computer", Mathematics of Computation, 61 (203): 235–244, Bibcode:1993MaCom..61..235H, doi:10.2307/2152950, JSTOR 2152950, MR 1202610

derstandard.de (Global: 4,676^th place; English: low place)

Taschwer, Klaus (September 15, 2019), "Endlich: Das Rätsel um die Zahl 42 ist gelöst", Der Standard

diariovasco.com (Global: 2,819^th place; English: 5,771^st place)

Jesus Poblacion, Alfonso (October 3, 2019), "Matemáticos encuentran una nueva forma de llegar al número 3", El Diario Vasco

digi24.ro (Global: 3,897^th place; English: 4,944^th place)

"A fost rezolvată problema care le-a dat bătăi de cap matematicienilor timp de 6 decenii. A fost nevoie de 1 milion de ore de procesare", Digi24, September 16, 2019

doi.org (Global: 2^nd place; English: 2^nd place)

Davenport, H. (1939), "On Waring's problem for cubes", Acta Mathematica, 71: 123–143, doi:10.1007/BF02547752, MR 0000026
Machis, Yu. Yu. (2007), "On Euler's hypothetical proof", Mathematical Notes, 82 (3): 352–356, doi:10.1134/S0001434607090088, MR 2364600, S2CID 121798358
Mahler, Kurt (1936), "Note on Hypothesis K of Hardy and Littlewood", Journal of the London Mathematical Society, 11 (2): 136–138, doi:10.1112/jlms/s1-11.2.136, MR 1574761
Mordell, L.J. (1942), "On sums of three cubes", Journal of the London Mathematical Society, Second Series, 17 (3): 139–144, doi:10.1112/jlms/s1-17.3.139, MR 0007761
Heath-Brown, D. R.; Lioen, W. M.; te Riele, H. J. J. (1993), "On solving the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ on a vector computer", Mathematics of Computation, 61 (203): 235–244, Bibcode:1993MaCom..61..235H, doi:10.2307/2152950, JSTOR 2152950, MR 1202610
Mordell, L.J. (1953), "On the integer solutions of the equation $x^{2}+y^{2}+z^{2}+2xyz=n$ ", Journal of the London Mathematical Society, Second Series, 28: 500–510, doi:10.1112/jlms/s1-28.4.500, MR 0056619
The equality mod 9 of numbers whose cubes sum to 3 was credited to J. W. S. Cassels by Mordell (1953), but its proof was not published until Cassels, J. W. S. (1985), "A note on the Diophantine equation $x^{3}+y^{3}+z^{3}=3$ ", Mathematics of Computation, 44 (169): 265–266, doi:10.2307/2007811, JSTOR 2007811, MR 0771049, S2CID 121727002.
Miller, J. C. P.; Woollett, M. F. C. (1955), "Solutions of the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ ", Journal of the London Mathematical Society, Second Series, 30: 101–110, doi:10.1112/jlms/s1-30.1.101, MR 0067916
Gardiner, V. L.; Lazarus, R. B.; Stein, P. R. (1964), "Solutions of the diophantine equation $x^{3}+y^{3}=z^{3}-d$ ", Mathematics of Computation, 18 (87): 408–413, doi:10.2307/2003763, JSTOR 2003763, MR 0175843
Conn, W.; Vaserstein, L. N. (1994), "On sums of three integral cubes", The Rademacher legacy to mathematics (University Park, PA, 1992), Contemporary Mathematics, vol. 166, Providence, Rhode Island: American Mathematical Society, pp. 285–294, doi:10.1090/conm/166/01628, ISBN 978-0-8218-5173-9, MR 1284068
Koyama, Kenji; Tsuruoka, Yukio; Sekigawa, Hiroshi (1997), "On searching for solutions of the Diophantine equation $x^{3}+y^{3}+z^{3}=n$ ", Mathematics of Computation, 66 (218): 841–851, doi:10.1090/S0025-5718-97-00830-2, MR 1401942
Elkies, Noam D. (2000), "Rational points near curves and small nonzero $|x^{3}-y^{2}|$ via lattice reduction", Algorithmic number theory (Leiden, 2000), Lecture Notes in Computer Science, vol. 1838, Springer, Berlin, pp. 33–63, arXiv:math/0005139, doi:10.1007/10722028_2, ISBN 978-3-540-67695-9, MR 1850598, S2CID 40620586
Beck, Michael; Pine, Eric; Tarrant, Wayne; Yarbrough Jensen, Kim (2007), "New integer representations as the sum of three cubes", Mathematics of Computation, 76 (259): 1683–1690, Bibcode:2007MaCom..76.1683B, doi:10.1090/S0025-5718-07-01947-3, MR 2299795
Elsenhans, Andreas-Stephan; Jahnel, Jörg (2009), "New sums of three cubes", Mathematics of Computation, 78 (266): 1227–1230, Bibcode:2009MaCom..78.1227E, doi:10.1090/S0025-5718-08-02168-6, MR 2476583
Booker, Andrew R. (2019), "Cracking the problem with 33", Research in Number Theory, 5 (26) 26, arXiv:1903.04284, doi:10.1007/s40993-019-0162-1, hdl:1983/b29fce73-2c20-4c07-9daf-afc04bf269b1, MR 3983550
Heath-Brown, D. R.; Lioen, W.M.; te Riele, H.J.J (1993), "On solving the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ on a vector computer", Mathematics of Computation, 61 (203): 235–244, Bibcode:1993MaCom..61..235H, doi:10.2307/2152950, JSTOR 2152950, MR 1202610
Booker, Andrew R.; Sutherland, Andrew V. (2021), "On a question of Mordell", Proceedings of the National Academy of Sciences, 118 (11) e2022377118, arXiv:2007.01209, Bibcode:2021PNAS..11822377B, doi:10.1073/pnas.2022377118, PMC 7980389, PMID 33692126
Heath-Brown, D. R. (1992), "The density of zeros of forms for which weak approximation fails", Mathematics of Computation, 59 (200): 613–623, Bibcode:1992MaCom..59..613H, doi:10.1090/s0025-5718-1992-1146835-5, JSTOR 2153078, MR 1146835
Balog, Antal; Brüdern, Jörg (1995), "Sums of three cubes in three linked three-progressions", Journal für die Reine und Angewandte Mathematik, 1995 (466): 45–85, doi:10.1515/crll.1995.466.45, MR 1353314, S2CID 118818354
Deshouillers, Jean-Marc; Hennecart, François; Landreau, Bernard (2006), "On the density of sums of three cubes", in Hess, Florian; Pauli, Sebastian; Pohst, Michael (eds.), Algorithmic Number Theory: 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings, Lecture Notes in Computer Science, vol. 4076, Berlin: Springer, pp. 141–155, doi:10.1007/11792086_11, ISBN 978-3-540-36075-9, MR 2282921
Wooley, Trevor D. (1995), "Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour" (PDF), Inventiones Mathematicae, 122 (3): 421–451, Bibcode:1995InMat.122..421W, doi:10.1007/BF01231451, hdl:2027.42/46588, MR 1359599
Wooley, Trevor D. (2000), "Sums of three cubes", Mathematika, 47 (1–2): 53–61 (2002), doi:10.1112/S0025579300015710, hdl:2027.42/152941, MR 1924487
Wooley, Trevor D. (2015), "Sums of three cubes, II", Acta Arithmetica, 170 (1): 73–100, arXiv:1502.01944, doi:10.4064/aa170-1-6, MR 3373831, S2CID 119155786
Richmond, H. W. (1923), "On analogues of Waring's problem for rational numbers", Proceedings of the London Mathematical Society, Second Series, 21: 401–409, doi:10.1112/plms/s2-21.1.401, MR 1575369

gizmodo.com (Global: 763^rd place; English: 486^th place)

Mandelbaum, Ryan F. (September 18, 2019), "Mathematicians No Longer Stumped by the Number 3", Gizmodo

hdl.handle.net (Global: 66^th place; English: 34^th place)

Booker, Andrew R. (2019), "Cracking the problem with 33", Research in Number Theory, 5 (26) 26, arXiv:1903.04284, doi:10.1007/s40993-019-0162-1, hdl:1983/b29fce73-2c20-4c07-9daf-afc04bf269b1, MR 3983550
Wooley, Trevor D. (1995), "Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour" (PDF), Inventiones Mathematicae, 122 (3): 421–451, Bibcode:1995InMat.122..421W, doi:10.1007/BF01231451, hdl:2027.42/46588, MR 1359599
Wooley, Trevor D. (2000), "Sums of three cubes", Mathematika, 47 (1–2): 53–61 (2002), doi:10.1112/S0025579300015710, hdl:2027.42/152941, MR 1924487

hs.fi (Global: 343^rd place; English: 1,251^st place)

Kivimäki, Antti (September 18, 2019), "Matemaatikkojen vaikea laskelma tuotti vihdoin kaivatun luvun 42", Helsingin Sanomat
"Why the number 42 is the answer to life, the universe and everything", New Zealand Herald, September 9, 2019
Kivimäki, Antti (September 22, 2019), "Numeron 42 ratkaisseet matemaatikot yllättivät: Löysivät myös luvulle 3 kauan odotetun ratkaisun", Helsingin Sanomat

indianexpress.com (Global: 108^th place; English: 58^th place)

Firaque, Kabir (September 20, 2019), "Explained: How a 65-year-old maths problem was solved", Indian Express

jstor.org (Global: 23^rd place; English: 15^th place)

Heath-Brown, D. R.; Lioen, W. M.; te Riele, H. J. J. (1993), "On solving the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ on a vector computer", Mathematics of Computation, 61 (203): 235–244, Bibcode:1993MaCom..61..235H, doi:10.2307/2152950, JSTOR 2152950, MR 1202610
The equality mod 9 of numbers whose cubes sum to 3 was credited to J. W. S. Cassels by Mordell (1953), but its proof was not published until Cassels, J. W. S. (1985), "A note on the Diophantine equation $x^{3}+y^{3}+z^{3}=3$ ", Mathematics of Computation, 44 (169): 265–266, doi:10.2307/2007811, JSTOR 2007811, MR 0771049, S2CID 121727002.
Gardiner, V. L.; Lazarus, R. B.; Stein, P. R. (1964), "Solutions of the diophantine equation $x^{3}+y^{3}=z^{3}-d$ ", Mathematics of Computation, 18 (87): 408–413, doi:10.2307/2003763, JSTOR 2003763, MR 0175843
Heath-Brown, D. R.; Lioen, W.M.; te Riele, H.J.J (1993), "On solving the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ on a vector computer", Mathematics of Computation, 61 (203): 235–244, Bibcode:1993MaCom..61..235H, doi:10.2307/2152950, JSTOR 2152950, MR 1202610
Heath-Brown, D. R. (1992), "The density of zeros of forms for which weak approximation fails", Mathematics of Computation, 59 (200): 613–623, Bibcode:1992MaCom..59..613H, doi:10.1090/s0025-5718-1992-1146835-5, JSTOR 2153078, MR 1146835

lasprovincias.es (Global: 3,981^st place; English: 7,002^nd place)

"Matemáticos resuelven el enigma del número 42 planteado hace 65 años", Las Provincias, September 18, 2019

livemint.com (Global: 749^th place; English: 388^th place)

D'Souza, Dilip (November 28, 2019), "Waste not, there's a third way to make cubes", LiveMint

mathnet.ru (Global: 8,689^th place; English: low place)

mi.mathnet.ru

Verebrusov, A. S. (1908), "Объ уравненiи $x 3 + y 3 + z 3 = 2 u 3$ " [On the equation $x^{3}+y^{3}+z^{3}=2u^{3}$ ], Matematicheskii Sbornik (in Russian), 26 (4): 622–624, JFM 39.0259.02

mit.edu (Global: 476^th place; English: 340^th place)

news.mit.edu

Miller, Sandi (September 10, 2019), "The answer to life, the universe, and everything: Mathematics researcher Drew Sutherland helps solve decades-old sum-of-three-cubes puzzle, with help from "The Hitchhiker's Guide to the Galaxy."", MIT News, Massachusetts Institute of Technology

nettavisen.no (Global: 2,845^th place; English: 3,739^th place)

Wærstad, Lars (October 10, 2019), "Supermaskin har løst over 60 år gammel tallgåte", Nettavisen

newscientist.com (Global: 1,041^st place; English: 901^st place)

Lu, Donna (September 18, 2019), "Mathematicians find a completely new way to write the number 3", New Scientist
Lu, Donna (March 14, 2019), "Mathematician cracks centuries-old problem about the number 33", New Scientist
Lu, Donna (September 6, 2019), "Mathematicians crack elusive puzzle involving the number 42", New Scientist

newsweek.com (Global: 371^st place; English: 235^th place)

Georgiou, Aristos (April 3, 2019), "The uncracked problem with 33: Mathematician solves 64-year-old 'Diophantine puzzle'", Newsweek

nih.gov (Global: 5^th place; English: 5^th place)

ncbi.nlm.nih.gov

Booker, Andrew R.; Sutherland, Andrew V. (2021), "On a question of Mordell", Proceedings of the National Academy of Sciences, 118 (11) e2022377118, arXiv:2007.01209, Bibcode:2021PNAS..11822377B, doi:10.1073/pnas.2022377118, PMC 7980389, PMID 33692126

pubmed.ncbi.nlm.nih.gov

Booker, Andrew R.; Sutherland, Andrew V. (2021), "On a question of Mordell", Proceedings of the National Academy of Sciences, 118 (11) e2022377118, arXiv:2007.01209, Bibcode:2021PNAS..11822377B, doi:10.1073/pnas.2022377118, PMC 7980389, PMID 33692126

popularmechanics.com (Global: 2,521^st place; English: 1,621^st place)

Grossman, David (September 6, 2019), "After 65 Years, Supercomputers Finally Solve This Unsolvable Math Problem", Popular Mechanics
Linkletter, Dave (December 27, 2019), "The 10 Biggest Math Breakthroughs of 2019", Popular Mechanics

quantamagazine.org (Global: 6,258^th place; English: 4,046^th place)

Pavlus, John (March 10, 2019), "Sum-of-Three-Cubes Problem Solved for 'Stubborn' Number 33", Quanta Magazine
Honner, Patrick (November 5, 2019), "Why the Sum of Three Cubes Is a Hard Math Problem", Quanta Magazine

scientificamerican.com (Global: 1,110^th place; English: 817^th place)

Delahaye, Jean-Paul (September 20, 2020), "For Math Fans: A Hitchhiker's Guide to the Number 42", Scientific American

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Machis, Yu. Yu. (2007), "On Euler's hypothetical proof", Mathematical Notes, 82 (3): 352–356, doi:10.1134/S0001434607090088, MR 2364600, S2CID 121798358
The equality mod 9 of numbers whose cubes sum to 3 was credited to J. W. S. Cassels by Mordell (1953), but its proof was not published until Cassels, J. W. S. (1985), "A note on the Diophantine equation $x^{3}+y^{3}+z^{3}=3$ ", Mathematics of Computation, 44 (169): 265–266, doi:10.2307/2007811, JSTOR 2007811, MR 0771049, S2CID 121727002.
Elkies, Noam D. (2000), "Rational points near curves and small nonzero $|x^{3}-y^{2}|$ via lattice reduction", Algorithmic number theory (Leiden, 2000), Lecture Notes in Computer Science, vol. 1838, Springer, Berlin, pp. 33–63, arXiv:math/0005139, doi:10.1007/10722028_2, ISBN 978-3-540-67695-9, MR 1850598, S2CID 40620586
Balog, Antal; Brüdern, Jörg (1995), "Sums of three cubes in three linked three-progressions", Journal für die Reine und Angewandte Mathematik, 1995 (466): 45–85, doi:10.1515/crll.1995.466.45, MR 1353314, S2CID 118818354
Wooley, Trevor D. (2015), "Sums of three cubes, II", Acta Arithmetica, 170 (1): 73–100, arXiv:1502.01944, doi:10.4064/aa170-1-6, MR 3373831, S2CID 119155786

spiegel.de (Global: 87^th place; English: 363^rd place)

"Matheproblem um die 42 geknackt", Der Spiegel, September 16, 2019

tagesspiegel.de (Global: 503^rd place; English: 1,578^th place)

"Das Matheproblem um die Zahl 42 ist geknackt", Der Tagesspiegel, September 16, 2019

theregister.co.uk (Global: 1,877^th place; English: 1,233^rd place)

Quach, Katyanna (September 7, 2019), "Finally! A solution to 42 – the Answer to the Ultimate Question of Life, The Universe, and Everything", The Register

tiede.fi (Global: low place; English: low place)

"42:n ongelman ratkaisijat löysivät ratkaisun myös 3:lle", Tiede, September 23, 2019

umich.edu (Global: 429^th place; English: 307^th place)

deepblue.lib.umich.edu

Wooley, Trevor D. (1995), "Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour" (PDF), Inventiones Mathematicae, 122 (3): 421–451, Bibcode:1995InMat.122..421W, doi:10.1007/BF01231451, hdl:2027.42/46588, MR 1359599

youtube.com (Global: 13^th place; English: 14^th place)

Haran, Brady (September 24, 2019), 3 as the sum of 3 cubes, Numberphile
Haran, Brady (November 6, 2015), The uncracked problem with 33, Numberphile
Haran, Brady (May 31, 2016), 74 is cracked, Numberphile
Haran, Brady (March 12, 2019), 42 is the new 33, Numberphile
Haran, Brady (September 6, 2019), The mystery of 42 is solved, Numberphile
Booker, Andrew R. (July 4, 2020), 33 and all that, Algorithmic Number Theory Symposium

zbmath.org (Global: 2,089^th place; English: 1,141^st place)

Verebrusov, A. S. (1908), "Объ уравненiи $x 3 + y 3 + z 3 = 2 u 3$ " [On the equation $x^{3}+y^{3}+z^{3}=2u^{3}$ ], Matematicheskii Sbornik (in Russian), 26 (4): 622–624, JFM 39.0259.02

zeit.de (Global: 301^st place; English: 1,273^rd place)

"Matheproblem um die Zahl 42 geknackt", Die Zeit, September 16, 2019

Sums of three cubes (English Wikipedia)

adsabs.harvard.edu (Global: 14th place; English: 9th place)

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ams.org (Global: 434th place; English: 249th place)

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lasprovincias.es (Global: 3,981st place; English: 7,002nd place)

livemint.com (Global: 749th place; English: 388th place)

mathnet.ru (Global: 8,689th place; English: low place)

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mit.edu (Global: 476th place; English: 340th place)

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nettavisen.no (Global: 2,845th place; English: 3,739th place)

newscientist.com (Global: 1,041st place; English: 901st place)

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ncbi.nlm.nih.gov

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spiegel.de (Global: 87th place; English: 363rd place)

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theregister.co.uk (Global: 1,877th place; English: 1,233rd place)

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youtube.com (Global: 13th place; English: 14th place)

zbmath.org (Global: 2,089th place; English: 1,141st place)

zeit.de (Global: 301st place; English: 1,273rd place)

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ams.org (Global: 434^th place; English: 249^th place)

archive.org (Global: 6^th place; English: 6^th place)

arxiv.org (Global: 49^th place; English: 31^st place)

bbc.com (Global: 26^th place; English: 23^rd place)

bristol.ac.uk (Global: 7,934^th place; English: 4,709^th place)

derstandard.de (Global: 4,676^th place; English: low place)

diariovasco.com (Global: 2,819^th place; English: 5,771^st place)

digi24.ro (Global: 3,897^th place; English: 4,944^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

gizmodo.com (Global: 763^rd place; English: 486^th place)

hdl.handle.net (Global: 66^th place; English: 34^th place)

hs.fi (Global: 343^rd place; English: 1,251^st place)

indianexpress.com (Global: 108^th place; English: 58^th place)

jstor.org (Global: 23^rd place; English: 15^th place)

lasprovincias.es (Global: 3,981^st place; English: 7,002^nd place)

livemint.com (Global: 749^th place; English: 388^th place)

mathnet.ru (Global: 8,689^th place; English: low place)

mit.edu (Global: 476^th place; English: 340^th place)

nettavisen.no (Global: 2,845^th place; English: 3,739^th place)

newscientist.com (Global: 1,041^st place; English: 901^st place)

newsweek.com (Global: 371^st place; English: 235^th place)

nih.gov (Global: 5^th place; English: 5^th place)

popularmechanics.com (Global: 2,521^st place; English: 1,621^st place)

quantamagazine.org (Global: 6,258^th place; English: 4,046^th place)

scientificamerican.com (Global: 1,110^th place; English: 817^th place)

semanticscholar.org (Global: 15^th place; English: 8^th place)

spiegel.de (Global: 87^th place; English: 363^rd place)

tagesspiegel.de (Global: 503^rd place; English: 1,578^th place)

theregister.co.uk (Global: 1,877^th place; English: 1,233^rd place)

umich.edu (Global: 429^th place; English: 307^th place)

youtube.com (Global: 13^th place; English: 14^th place)

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zeit.de (Global: 301^st place; English: 1,273^rd place)