Arith / CONCEPT
Golden Resource Optimal Integer
At logarithmic resource price 1/25, the positive integer 5040 uniquely maximizes the logarithm of the reciprocal divisor sum minus the resource cost.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES6
PROOF DEPTH1
DOCUMENT LINKS0
5040 is the unique optimum at price 1/25
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Actual Robin Maxima on Forced Multiplestruth-dependency · Closed
- Arbitrarily high simultaneous sigma peakstruth-dependency · Closed
- Golden Layer Marginal Decaytruth-dependency · Closed
- Golden Local Thresholdtruth-dependency · Closed
- Robin's Inequality for Integers with at Most Eight Distinct Primestruth-dependency · Closed
- The Smallest Missing Primetruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Actual Robin Maxima on Forced Multiplesstructural-affinity · Closed
- Arbitrarily high simultaneous sigma peaksstructural-affinity · Closed
- Divisor objective corestructural-affinity · Closed
- Golden Layer Marginal Decaystructural-affinity · Closed
- Golden Local Thresholdstructural-affinity · Closed
- Golden Resource Objective Factorizationstructural-affinity · Closed
- Robin's Inequality for Integers with at Most Eight Distinct Primesstructural-affinity · Closed
- The Smallest Missing Primestructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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