Question: Prove that any integer can be written as the sum of the cubes of five integers, not necessarily.

Solution:

We use the identity for , which is an integer for all n. We obtain

.

Hence, n is equal to the sum

.

More later,

Nalin Pithwa.

Question: Prove that any integer can be written as the sum of the cubes of five integers, not necessarily.

Solution:

We use the identity for , which is an integer for all n. We obtain

.

Hence, n is equal to the sum

.

More later,

Nalin Pithwa.

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