How osman209/prime-number-studies works
Prime Number Studies is a collection of independent mathematical re-derivations, computational experiments, and scripts that regenerate reported results. The principal workflow is an engineer or reader running a study-specific verifier or harness to reproduce a table, measurement, or numerical check. The graph preserves major README themes and the documented spectral-form harness. Most individual verifiers and several harness modules were not sampled, so their internal calls are omitted rather than inferred.
Main entry points: compare_families.py Family Comparison · run_ladder.py Inertia Ladder · builder_periodic.py Periodic Builder · conventions.py Form Conventions
Components 21
Division Table
- Table Verifier
code/verify_division_table.py - Row Inheritance
code/verify_row_inheritance.py - Sieve Clock
code/verify_knowledge_clock.py - Angle Lock
code/verify_angle_lock.py - Arithmetic Results
Prime Studies
- Prime Gap Study
code/prime_edge_rank.py - Detection Index
code/detection_index.py - Prime Measurements
Zeta Studies
- Li Lens Checks
code/verify_li_lens.py - Phase Masking
code/verify_phase_masking.py - Core Checks
code/verify_core.py - Zeta Results
Spectral Harness
- Form Conventions
harness/conventions.py - Sine Builder
harness/builder_sine.py - Periodic Builder
harness/builder_periodic.py - Zero Validator
harness/validator.py - Inertia Ladder
harness/run_ladder.py - Family Comparison
harness/compare_families.py - Odd Zero Scan
harness/odd_sector_unseeded_scan.py - Spectral Measurements
Other components
- Researcher
Connections 31
- Researcher → Table Verifier: runs verifier
- Researcher → Row Inheritance: runs verifier
- Researcher → Sieve Clock: runs verifier
- Researcher → Angle Lock: runs verifier
- Table Verifier → Arithmetic Results: reports checks
- Row Inheritance → Arithmetic Results: reports checks
- Sieve Clock → Arithmetic Results: reports checks
- Angle Lock → Arithmetic Results: reports checks
- Researcher → Prime Gap Study: runs study
- Researcher → Detection Index: runs study
- Prime Gap Study → Prime Measurements: reports measurements
- Detection Index → Prime Measurements: reports measurements
- Researcher → Li Lens Checks: runs verifier
- Researcher → Phase Masking: runs verifier
- Researcher → Core Checks: runs verifier
- Li Lens Checks → Zeta Results: reports checks
- Phase Masking → Zeta Results: reports checks
- Core Checks → Zeta Results: reports checks
- Sine Builder → Form Conventions: uses conventions
- Periodic Builder → Form Conventions: uses conventions
- Zero Validator → Form Conventions: validates form
- Researcher → Inertia Ladder: runs sweep
- Researcher → Family Comparison: runs comparison
- Researcher → Odd Zero Scan: runs scan
- Inertia Ladder → Periodic Builder: builds matrices
- Family Comparison → Sine Builder: builds family
- Family Comparison → Periodic Builder: builds family
- Zero Validator → Spectral Measurements: reports validation
- Inertia Ladder → Spectral Measurements: reports inertia
- Family Comparison → Spectral Measurements: reports comparison
- Odd Zero Scan → Spectral Measurements: reports roots