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| Top > Science > Math > Number Theory > Diophantine Equations > Equal Sums of Like Powers |
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Roger Frye's homepage - Discoverer of 422481^4=414560^4+217519^4+95800^4: excellent explanation of how he did it. Taxicab Numbers - David W. Wilson's list of the smallest number that can be expressed as a sum of two positive cubes in n different ways, for n = 1 through 5. Tom's Mathematical Things - Dissertation about equal sums of like powers by Tom Womack. Power Page - Steve Dutch's page about powers of numbers. Sortedsums - D. J. Bernstein's collection of tools for enumerating small solutions to certain types of equal sums of like powers. Massively Parallel Number Theory - Bob Scher and Ed Seidl's search for counterexamples to a generalized version of Euler's conjecture with a 72-node Intel Paragon. On Equal Sums of Like Powers and Related Problems - Classification of problems related to equal sums of like powers. The Fifth Taxicab Number is 48988659276962496 - David W. Wilson's article on his search for the smallest integer that can be expressed as a sum of two positive cubes in 5 distinct ways, up to order of summands. Equations Involving Sums of Powers - Joseph McLean's investigations into those equations. Equal Sums of Like Powers - Joe K. Crump's search method that works very well for high powers. Overview of Mathematician Secret Room - Page keeping track of solutions of x^3+y^3+z^3 < 1000 and x^3+y^3+2*z^3 < 1000.
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