Arith / CONCEPT
Odd-Index Fibonacci Nonsquares
A Lucas modulus supplies a quadratic obstruction for every nontrivial odd Fibonacci index.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES4
PROOF DEPTH7
DOCUMENT LINKS1
Every odd index at least three is excluded
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
- An Explicit Lucas Growth Thresholdstructural-affinity · Closed
- Arith: Golden Apparitionstructural-affinity · Closed
- Complete Fibonacci Rank Budgetstructural-affinity · Closed
- Complete Fibonacci Square Classesstructural-affinity · Closed
- Complete Prime-Power Fibonacci Layersstructural-affinity · Closed
- Dyadic Fibonacci Quotients from k = 1structural-affinity · Closed
- Dyadic Fibonacci rank budgetstructural-affinity · Closed
- Five-adic Fibonacci depthstructural-affinity · Closed
- Lucas Squares and Twice Squaresstructural-affinity · Closed
- Native Scaled Ternary Lucas Unitsstructural-affinity · Closed
- Nonsquares in Higher Odd Prime-Power Layersstructural-affinity · Closed
- Odd-Index Fibonacci Quotients Modulo Sevenstructural-affinity · Closed
- Odd-Index Fibonacci Recurrence Bridgestructural-affinity · Closed
- Original odd-depth supportstructural-affinity · Closed
- Powerful Fibonacci support boundstructural-affinity · Closed
- Powerful numbers and their square-cube representationstructural-affinity · Closed
- Scale: Lucas Doublingstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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