Arith / CONCEPT
Integer Prime Exponent Exchange
Prime exponent exchange lowers the integer and raises normalized sigma.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES6
PROOF DEPTH1
DOCUMENT LINKS1
A smaller integer with a larger normalized divisor sum
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Coprime prime-exponent normal formtruth-dependency · Closed
- Edge Propagation of Robin's Inequality Along Prime Fibrestruth-dependency · Closed
- Exponent Normal Form with the Same Number of Distinct Primestruth-dependency · Closed
- Prime-Power Envelope of Actual Price Recordstruth-dependency · Closed
- Rough Prime Suffix Maximatruth-dependency · Closed
- The 5040 valuation sigma factortruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Coprime prime-exponent normal formstructural-affinity · Closed
- Edge Propagation of Robin's Inequality Along Prime Fibresstructural-affinity · Closed
- Exponent Normal Form with the Same Number of Distinct Primesstructural-affinity · Closed
- Local Divisor Factors on a Factorial Congruence Classstructural-affinity · Closed
- Mandatory-Core Prime Prefix Normalizationstructural-affinity · Closed
- Padding Tail Massstructural-affinity · Closed
- Prime Padding Ratiostructural-affinity · Closed
- Prime-Power Envelope of Actual Price Recordsstructural-affinity · Closed
- Rough Prime Suffix Maximastructural-affinity · Closed
- Same-integer Robin suffix maximastructural-affinity · Closed
- Strict Exponent Exchangestructural-affinity · Closed
- The 5040 valuation sigma factorstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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