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Equal sums of like powers: Many things we still don't know

a3nm.net · published 6 September 2026

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https://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem
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https://en.wikipedia.org/wiki/Wiles's_proof_of_Fermat's_Last_Theorem
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https://www.anthropic.com/research/formalizing-fermats-last-theorem
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https://imperialcollegelondon.github.io/FLT/
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https://xenaproject.wordpress.com/
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https://en.wikipedia.org/wiki/Pythagorean_triple
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https://en.wikipedia.org/wiki/Euler's_sum_of_powers_conjecture
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https://en.wikipedia.org/wiki/Euler%27s_sum_of_powers_conjecture
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https://fr.wikipedia.org/wiki/Control_Data_6600
fr.wikipedia.org
https://pubs.ams.org/BULL/1966-72-06/S0002-9904-1966-11654-3
pubs.ams.org
https://www.ams.org/journals/mcom/1988-51-184/S0025-5718-1988-0930224-9/S0025-5718-1988-0930224-9.pdf
ams.org
https://en.wikipedia.org/wiki/Lander,_Parkin,_and_Selfridge_conjecture
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http://euler.free.fr/
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https://en.wikipedia.org/wiki/Volunteer_computing
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https://en.wikipedia.org/wiki/Berkeley_Open_Infrastructure_for_Network_Computing
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https://math.stackexchange.com/questions/5146295/should-we-expect-an-approximate-version-of-euler-s-sum-of-powers-conjecture-to-h
math.stackexchange.com
https://en.wikipedia.org/wiki/Prouhet%E2%80%93Tarry%E2%80%93Escott_problem
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http://euler.free.fr/eslp/eslp.htm
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https://en.wikipedia.org/wiki/Sum_of_two_squares_theorem
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https://en.wikipedia.org/wiki/Legendre%27s_three-square_theorem
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https://en.wikipedia.org/wiki/Lagrange%27s_four-square_theorem
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https://oeis.org/wiki/Sums_of_squares
oeis.org
https://arxiv.org/pdf/2404.08193
arxiv.org
https://en.wikipedia.org/wiki/Sum_of_two_cubes
en.wikipedia.org
https://cs.uwaterloo.ca/journals/JIS/VOL6/Broughan/broughan25.pdf
cs.uwaterloo.ca
https://en.wikipedia.org/wiki/Sums_of_three_cubes
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https://en.wikipedia.org/wiki/Waring's_problem
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https://en.wikipedia.org/wiki/Waring%27s_problem
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https://mathoverflow.net/questions/64649/lower-bounds-on-the-easier-waring-problem
mathoverflow.net
https://en.wikipedia.org/wiki/Sum_of_four_cubes_problem
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https://web.archive.org/web/20180722235038id_/https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C1B062DC76653A7AF539F7AE25B44FAF/S1446788700021418a.pdf/div-class-title-major-arcs-in-the-four-cubes-problem-div.pdf
web.archive.org
https://studylib.net/doc/13631911/waring%E2%80%99s--problem---taxicab--numbers---and-...?p=6
studylib.net
https://en.wikipedia.org/wiki/Sum_of_squares_function
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https://oeis.org/A005875
oeis.org
https://en.wikipedia.org/wiki/Taxicab_number
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https://en.wikipedia.org/wiki/1729_(number
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https://en.wikipedia.org/wiki/Cabtaxi_number
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https://en.wikipedia.org/wiki/Generalized_taxicab_number
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https://webhomes.maths.ed.ac.uk/~v1ranick/papers/conwaysens.pdf
webhomes.maths.ed.ac.uk