Arith / CONCEPT
Nonsquares in Higher Odd Prime-Power Layers
All higher odd prime-power Fibonacci quotients are positive nonsquares beyond an explicit prime threshold.
Closed
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES2
PROOF DEPTH7
DOCUMENT LINKS1
An analytic obstruction for recurrence polynomials and Fibonacci quotients
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- A Dyadic Analytic Integer Obstructionstructural-affinity · Closed
- An Explicit Lucas Growth Thresholdstructural-affinity · Closed
- Chebyshev Representation of the Recurrence Polynomialstructural-affinity · Closed
- Complete Fibonacci Rank Budgetstructural-affinity · Closed
- Complete Prime-Power Fibonacci Layersstructural-affinity · Closed
- Dyadic Fibonacci Quotients from k = 1structural-affinity · Closed
- Exact Complex Roots of the Odd Recurrence Polynomialstructural-affinity · Closed
- Fibonacci Recurrence Polynomial Coefficientsstructural-affinity · Closed
- Five-Adic Fibonacci Rank Budgetstructural-affinity · Closed
- Odd-Index Fibonacci Nonsquaresstructural-affinity · Closed
- Odd-Index Fibonacci Recurrence Bridgestructural-affinity · Closed
- Prime-Power Fibonacci Quotients in Twenty-Eight Residue Classesstructural-affinity · Closed
- Prime-Power Fibonacci Quotients in Two Further Residue Classesstructural-affinity · Closed
- Ternary Fibonacci rank budgetstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
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