n-square Identities
This page lists all the proven n-square Identities.
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2-square Identity
Main article: Diophantus' Identity
It is known as the Diophantus' Identity or the Brahmagupta–Fibonacci identity. It states as follows:
If two positive integers are each the sum of two squares, then their product is the sum of two squares.
Consider four integers, , and .
4-square Identity
It is known as the Euler's four-square identity. Euler's four-square identity says that the product of two numbers, each of which is a sum of four squares, is itself a sum of four squares.
8-square Identity
It is known as the Degen's eight-square identity
16-square Identity
It is known as the Pfister's sixteen-square identity
Where are