Recurrence / CONCEPT
Prime Periods of the Stirling Power-Factorial Sum
Bala's A122399 conjecture: p - 1 is a period modulo every prime p.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES6
PROOF DEPTH0
DOCUMENT LINKS1
Weighted Stirling inclusion-exclusion
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
- A Stirling minor as a finite Vandermonde-square sumtruth-dependency · Closed
- Even residues of the logarithmic Laplaciantruth-dependency · Closed
- Kurkov's Nested Stirling Identitytruth-dependency · Closed
- Prime Periods for Integer-Weighted Stirling Sumstruth-dependency · Closed
- Prime Periods of the Weighted Stirling Power Sumtruth-dependency · Closed
- Totient Periods for Weighted Stirling Transformstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A Stirling minor as a finite Vandermonde-square sumstructural-affinity · Closed
- Cullinan--Young Krawtchouk Sign Interpolantstructural-affinity · Closed
- Even residues of the logarithmic Laplacianstructural-affinity · Closed
- Eventual Periods of Scaled Logarithm Columnsstructural-affinity · Closed
- Koutschan–Krattenthaler–Schlosser: ShiftedGstructural-affinity · Closed
- Kurkov's Nested Stirling Identitystructural-affinity · Closed
- Prime Periods for Integer-Weighted Stirling Sumsstructural-affinity · Closed
- Prime Periods of the Weighted Stirling Power Sumstructural-affinity · Closed
- Totient Periods for Integral Exponential Substitutionsstructural-affinity · Closed
- Totient Periods for Weighted Stirling Transformsstructural-affinity · Closed
- Universal Logarithmic Integer-Series Power Closurestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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