trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Odd Squares Modulo Eight

Every odd natural number has square congruent to one modulo eight.

Closed Authored exposition
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES0
PROOF DEPTH0
DOCUMENT LINKS1
THEOREM

Eight divides an odd square minus one

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Odd Squares Modulo EightOdd Squares Modulo Eight
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Certified topology / UPSTREAM

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None recorded in this release.

Certified topology / DOWNSTREAM

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RELATED KNOWLEDGE

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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Congruence/OddSquareModuloEight
Repository path
D5/S3/Arith/Congruence/OddSquareModuloEight.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

Authority boundary

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.