trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Prime-power Fibonacci matrix period

The Fibonacci matrix has an exact period at every power of a prime above five.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES3
PROOF DEPTH9
DOCUMENT LINKS1
THEOREM

Exact local period

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Arith: Golden ApparitionArith: Golden ApparitionGolden Fibonacci Modulus PeriodGolden Fibonacci Modulus PeriodGolden Prime-Power OrderGolden Prime-Power OrderPrime-to-index Fibonacci valuationPrime-to-index FibonaccivaluationPrime-power Fibonacci matrix periodPrime-power Fibonacci matrixperiodGolden Cubic Block Native Power PeriodsGolden Cubic Block Native PowerPeriodsFinite-support square periodsFinite-support square periodsLargest-prime period iterationLargest-prime period iteration
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Lean sourceResearch workspace
Status
Closed
Depth
9
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Primes/GoldenPrimePowerMatrixPeriod
Repository path
D5/S3/Arith/Primes/GoldenPrimePowerMatrixPeriod.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.