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PowersRepresentations

PowersRepresentations
gives the distinct representations of the integer n as a sum of k non-negative p^(th) integer powers.
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Basic Examples   (1)
Find representations of 1729 as a sum of two cubes:
Find representations of 1729 as a sum of two cubes:
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Scope   (2)
Representation of relatively large numbers as the sum of two squares:
Known taxicab numbers:
Properties & Relations   (2)
Use FindInstance to find a solution instance:
PowersRepresentations gives ordered partitions of fixed length:
Possible Issues   (1)
The scale of the computation increases rapidly with the size of the number:
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