trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

The Mod-Three Quadratic Norm Obstruction

An integer congruent to two modulo three is not a norm of the form x^2 + 3y^2.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

No number 3m - 1 is an x^2 + 3y^2 norm

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Zero-Orbit CongruenceZero-Orbit CongruenceThe Mod-Three Quadratic Norm ObstructionThe Mod-Three Quadratic NormObstructionThe Markov Neighbor Norm ObstructionThe Markov Neighbor NormObstruction
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Congruence/ModThreeNormObstruction
Repository path
D5/S3/Arith/Congruence/ModThreeNormObstruction.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.