Equal Sums of Like Powers Diophantine Equations Number Theory Math

Jean-Charles Meyrignac's distributed-computing project on equal sums of like powers and the place to look for the current status of the problem.

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Equal Sums of Like Powers - Chen Shuwen's extensive collection of equal sums of like powers, especially those that are solutions to multigrade equations.
Computing Minimal Equal Sums Of Like Powers - Jean-Charles Meyrignac's distributed-computing project on equal sums of like powers and the place to look for the current status of the problem.

• On Equal Sums of Like Powers and Related Problems - Classification of problems related to equal sums of like powers.
• 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.
• The Fifth Taxicab Number is 48988659276962496 - David W. Wilson\\'s article on his search for the smallest number theory integer that can be expressed as a sum of two number theory positive cubes in 5 distinct ways, up to order of number theory summands.
• Tom's Mathematical Things - Dissertation about equal sums of like powers by Tom Womack.
• Mathematician's Secret Room - Unsolved problems in Number Theory. English and Japanese diophantine equations text by Hisanori Mishima.
• Equations Involving Sums of Powers - Jerzy Urbanowikz\\' paper on diophantine equations involving sums of powers equal sums of like powers with quadratic characters as coefficients.[PDF]
• Power Page - Steve Dutch's page about powers of numbers.
• Sortedsums - D. J. Bernstein\\'s collection of tools for enumerating equal sums of equal sums of like powers like powers small solutions to certain types of equal sums equal equal sums of like powers sums of like powers of like powers.

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