Arith / CONCEPT
Prime Factors and Pure Prime Classes
Every prime divisor of a modulus in a sum-minimal distinct odd covering system occurs as a pure prime modulus, and every nonempty such system contains a pure prime class.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES3
PROOF DEPTH14
DOCUMENT LINKS1
Prime divisors occur as pure prime moduli
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
- Adjacent Prime-Height Profile Exchangestructural-affinity · Closed
- Arith: Arithmetic Coordinatesstructural-affinity · Closed
- Concentrated Prime Singletonsstructural-affinity · Closed
- Fixed Collision Exceptionsstructural-affinity · Closed
- Fresh Completion of a Complete Prime Chainstructural-affinity · Closed
- Hanna's A369673 conjecturesstructural-affinity · Closed
- Height-Coded Prime Absorptionstructural-affinity · Closed
- Ordinary-Prime Root Capacitystructural-affinity · Closed
- Prime Cuts from Fresh Ternary Repairsstructural-affinity · Closed
- Prime-Root Compression and Original Inventorystructural-affinity · Closed
- Prime-Support Gap Descentstructural-affinity · Closed
- Prime-Support Initial Segmentstructural-affinity · Closed
- Single-Chain Cofactor Boundstructural-affinity · Closed
- Single-Chain q-Ladder Capacitystructural-affinity · Closed
- Two-Prime Support Obstructionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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