Recurrence / CONCEPT
Hanna's Prime Bilateral Integrality Conjecture
The normalized bilateral equation has an integral solution exactly at prime parameters.
Closed
DIRECT PREREQUISITES7
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
Prime parameters characterize integral solutions
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Hanna's Cubic Substitution Parity Conjecturetruth-dependency · Closed
- Hanna's Odd-Square Continued Fractiontruth-dependency · Closed
- Hanna's theta-four congruencestruth-dependency · Closed
- Negative-Power Diagonals Modulo a Primetruth-dependency · Closed
- Normalized coefficient contractionstruth-dependency · Closed
- The Bilateral Product Family of A381362 and A381363truth-dependency · Closed
- Unit Reversion and Square Paritytruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Hanna's A393173 Power-of-Two Paritystructural-affinity · Closed
- Hanna's Bilateral Reversion Paritystructural-affinity · Closed
- Hanna's Cubic Substitution Parity Conjecturestructural-affinity · Closed
- Hanna's Odd-Square Continued Fractionstructural-affinity · Closed
- Hanna's product-partition congruencestructural-affinity · Closed
- Hanna's theta-four congruencesstructural-affinity · Closed
- Index Divisibility for Vanishing Diagonalsstructural-affinity · Closed
- Negative-Power Diagonals Modulo a Primestructural-affinity · Closed
- Normalized coefficient contractionsstructural-affinity · Closed
- Scaled Quadratic Reversion Modulo Sixteenstructural-affinity · Closed
- The Bilateral Product Family of A381362 and A381363structural-affinity · Closed
- The integer central-binomial transformstructural-affinity · Closed
- The OEIS A338632 Modulo-Four Congruencestructural-affinity · Closed
- The Scaled Bilateral Product Family of A381364 and A381365structural-affinity · Closed
- Unit Reversion and Square Paritystructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance