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Inspired by the Numberphile video "The uncracked problem with 33" by Tim Browning and Brady Haran, we investigate solutions to $x^3+y^3+z^3=k$ for a few small values of $k$.
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Sander G. Huisman, Newer sums of three cubes , arXiv:1604.07746 , 2016
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Wieb Bosma, John Cannon, Claus Fieker, and Allan Steel, Handbook of Magma functions , Sydney, 2.24 ed., 2018
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The PARI Group, Univ. Bordeaux, PARI/GP version 2.11.0
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Ben Buhrow, YAFU , 2019, https://sourceforge.net/projects/yafu/
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Closest in time.
Kim Walisch, primesieve , 2019, https://primesieve.org
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Michael Beck, Eric Pine, Wayne Tarrant, and Kim Yarbrough Jensen, New integer representations as the sum of three cubes , Math. Comp. 76
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Cited alongside, same era.
Andreas-Stephan Elsenhans and Jörg Jahnel, New sums of three cubes , Math. Comp. 78
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Tim Browning and Brady Haran, The uncracked problem with 33 , 2015, https://youtu.be/wymmCdLdPvM
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Cited alongside, same era.
2019
Closest in time.