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Sum of two squares theorem : ウィキペディア英語版 | Sum of two squares theorem In number theory, the sum of two squares theorem says when an integer can be written as a sum of two squares, that is when for some integers . :''An integer greater than one can be written as a sum of two squares if and only if in its prime decomposition there is no prime congruent to 3 (mod 4) raised to an odd power.'' This theorem supplements Fermat's two-square theorem which says when a prime number can be written as a sum of two squares, in that it also covers the case for composite numbers. == See also ==
* Brahmagupta–Fibonacci identity. This identity entails that the set of all sums of two squares is closed under multiplication.
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