trureturingGitHub MATHEMATICAL ATLAS

PrimeForms / CONCEPT

Classification of Sums of Two Squares

A natural number is a sum of two squares exactly when every prime congruent to three modulo four occurs to an even exponent in its factorization.

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THEOREM

A natural number is a sum of two squares exactly when its prime factors congruent to three modulo four carry even exponents

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Classification of Sums of Two SquaresClassification of Sums of TwoSquares
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
PrimeForms
Node ID
D5/S3/PrimeForms/SumTwoSquaresClassification
Repository path
D5/S3/PrimeForms/SumTwoSquaresClassification.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
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745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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