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Brandon Schneider f734d9082b ingest: comprehensive Erdős problems collection from external sources 
Ingested 38 Erdős problems from Wikipedia and other sources into local research database.

Statistics:
- Total unsolved: 13
- Total solved: 19
- Total additional: 6
- Total problems: 38

Domain distribution:
- Graph Theory: 6
- Number Theory: 12
- Discrete Geometry: 2
- Additive Number Theory: 3
- Diophantine Equations: 3
- Combinatorics: 3
- Extremal Set Theory: 1
- Ramsey Theory: 1
- Random Graphs: 1
- Linear Algebra: 1
- Additive Combinatorics: 1
- Geometry: 1
- Unknown: 2

Unsolved conjectures include:
- Erdős–Gyárfás conjecture
- Erdős–Hajnal conjecture
- Erdős–Mollin–Walsh conjecture
- Erdős–Selfridge conjecture
- Erdős–Straus conjecture
- Erdős conjecture on arithmetic progressions
- Erdős–Szekeres conjecture
- Erdős–Turán conjecture on additive bases
- Erdős conjecture on quickly growing integer sequences
- Erdős–Oler conjecture on circle packing
- Minimum overlap problem
- Erdős conjecture on ternary expansion of 2^n
- Erdős–Moser equation

Solved conjectures include:
- Erdős–Faber–Lovász conjecture (2021)
- Erdős sumset conjecture (2018)
- Burr–Erdős conjecture (2015)
- Erdős conjecture on equitable colorings (1970)
- Erdős–Lovász conjecture (1974)
- Erdős–Heilbronn conjecture (1994)
- Erdős–Graham conjecture (2000)
- Erdős–Stewart conjecture (2001)
- Cameron–Erdős conjecture (2003-2004)
- Erdős–Menger conjecture (2009)
- Erdős distinct distances problem (2010, partially)
- Erdős–Rankin conjecture (2014)
- Erdős discrepancy problem (2015)
- Erdős squarefree conjecture (1996)
- Erdős primitive set conjecture (2022)
- Erdős–Sauer problem
- Erdős problem 728 (2026, AI-assisted)
- Erdős problem 347 (2026)
- Erdős problem 369 (2026)

Additional problems include:
- Erdős–Ko–Rado theorem
- Erdős–Ginzburg–Ziv theorem
- Erdős–Stone theorem
- Erdős–Rényi random graph model
- Erdős Hadamard conjecture
- Erdős–Moser problem

Saved to: shared-data/data/germane/research/erdos_problems_comprehensive_v1.json
Updated research ingestion index.
2026-05-08 14:50:03 -05:00
..
ADVERSARIAL_STRIPPING_REPORT.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
adversarial_symbolic_stripping.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
comprehensive_framework_compression.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
core_equations_analysis.json analysis: 12 core equations run against 12 compression theories 2026-05-08 14:50:02 -05:00
eigenvector_resonance_probe.py feat: add dimensional shell eigenvector resonance probe 2026-05-07 16:46:58 -05:00
erdos_problems_4primitive_mapping.json analysis: Erdős problems mapped to 4-primitive framework 2026-05-08 14:50:02 -05:00
erdos_problems_4primitive_mapping.py analysis: Erdős problems mapped to 4-primitive framework 2026-05-08 14:50:02 -05:00
F01_F12_DERIVATION_PROMPT.txt collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
HOTLOADING_ORCHESTRATOR_REPORT.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
hotloading_prover_orchestrator.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
ingest_compactified_core_equations.py ingest: Compactified core equations (12 → 4 primitives, 67% reduction) 2026-05-08 14:50:02 -05:00
ingest_dair_agentic_wiki.py ingest: dair-ai Agentic Engineering Wiki (51 tips, 7 categories) 2026-05-07 00:27:02 -05:00
ingest_density_field_encoding.py ingest: Density Field Encoding theory — beyond UTF-8 2026-05-08 14:50:01 -05:00
ingest_erans_field_effect_spectrum.py integrate: erans field effect spectrum into master synthesis 2026-05-08 14:50:02 -05:00
ingest_erans_reference.py ingest: erans enumerative rANS reference + AGENTS.md rules 1.10, 1.11 2026-05-07 02:18:29 -05:00
ingest_erdos_problems.py ingest: comprehensive Erdős problems collection from external sources 2026-05-08 14:50:03 -05:00
ingest_gccl_gec_spec.py ingest: GCCL-GEC full compression architecture spec 2026-05-08 14:50:01 -05:00
ingest_hippocampus_tabula_plena.py ingest: Hippocampus Tabula Plena combined approach 2026-05-08 14:50:02 -05:00
ingest_hutter_rhomboid.py ingest: Hypercube → Hyper-Rhomboid Hutter Prize implications 2026-05-07 02:08:46 -05:00
ingest_hypercube_rhomboid.py ingest: Hypercube → Hyper-Rhomboid composition theory 2026-05-07 02:04:03 -05:00
ingest_master_synthesis.py ingest: Master Synthesis — complete compression architecture 2026-05-08 14:50:02 -05:00
ingest_maximum_math_density_spec.py ingest: Hippocampus Tabula Plena combined approach 2026-05-08 14:50:02 -05:00
ingest_ms_myelin_article.py ingest: MS myelin glucose signaling article (2026-05-04) 2026-05-06 23:53:20 -05:00
ingest_oac_theory.py ingest: Observer-Admissible Cavities theory — radius-ratio → Pidgen-hole → S3C/Spherion → OAC 2026-05-07 00:47:10 -05:00
ingest_unified_compression_synthesis.py ingest: Unified Compression Architecture synthesis 2026-05-08 14:50:02 -05:00
LLM_BIAS_MITIGATION.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
METAPROBE_INTEGRATION_SUMMARY.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
pist_gdrive_offload.py ingest: Density Field Encoding theory — beyond UTF-8 2026-05-08 14:50:01 -05:00
prover_orchestration_layer.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
prover_orchestration_report.json collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
PURE_NUMBER_SPEC.txt collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
Q32_32_VERIFICATION.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
relay_validation_shim.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
run_core_equations.py analysis: 12 core equations run against 12 compression theories 2026-05-08 14:50:02 -05:00
scientific_equations_4primitive_mapping.json analysis: Scientific equations mapped to 4-primitive framework 2026-05-08 14:50:02 -05:00
scientific_equations_4primitive_mapping.py analysis: Scientific equations mapped to 4-primitive framework 2026-05-08 14:50:02 -05:00
spec_sheet_puller.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
SPEC_SHEET_REFERENCE.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
swarm_topological_device_prober.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
system_equations_4primitive_mapping.json analysis: System equations mapped to 4-primitive framework 2026-05-08 14:50:02 -05:00
system_equations_4primitive_mapping.py analysis: System equations mapped to 4-primitive framework 2026-05-08 14:50:02 -05:00
test_erdos_ap_4primitive.py test: 4-primitive framework applied to Erdős Conjecture on APs 2026-05-08 14:50:02 -05:00
test_erdos_ap_4primitive_results.json test: 4-primitive framework applied to Erdős Conjecture on APs 2026-05-08 14:50:02 -05:00
test_erdos_distinct_distances_4primitive.py test: 4-primitive framework applied to Erdős Distinct Distances Problem 2026-05-08 14:50:03 -05:00
test_erdos_distinct_distances_4primitive_results.json test: 4-primitive framework applied to Erdős Distinct Distances Problem 2026-05-08 14:50:03 -05:00
test_erdos_faber_lovasz_4primitive.py test: 4-primitive framework applied to Erdős–Faber–Lovász Conjecture 2026-05-08 14:50:03 -05:00
test_erdos_faber_lovasz_4primitive_results.json test: 4-primitive framework applied to Erdős–Faber–Lovász Conjecture 2026-05-08 14:50:03 -05:00
test_erdos_ginzburg_ziv_4primitive.py test: 4-primitive framework applied to Erdős–Ginzburg–Ziv Theorem 2026-05-08 14:50:02 -05:00
test_erdos_ginzburg_ziv_4primitive_results.json test: 4-primitive framework applied to Erdős–Ginzburg–Ziv Theorem 2026-05-08 14:50:02 -05:00
test_erdos_hadamard_4primitive.py test: 4-primitive framework applied to Erdős Hadamard Conjecture 2026-05-08 14:50:03 -05:00
test_erdos_hadamard_4primitive_results.json test: 4-primitive framework applied to Erdős Hadamard Conjecture 2026-05-08 14:50:03 -05:00
test_erdos_ko_rado_4primitive.py test: 4-primitive framework applied to Erdős–Ko–Rado Theorem 2026-05-08 14:50:02 -05:00
test_erdos_ko_rado_4primitive_results.json test: 4-primitive framework applied to Erdős–Ko–Rado Theorem 2026-05-08 14:50:02 -05:00
test_erdos_moser_4primitive.py test: 4-primitive framework applied to Erdős–Moser Problem 2026-05-08 14:50:03 -05:00
test_erdos_moser_4primitive_results.json test: 4-primitive framework applied to Erdős–Moser Problem 2026-05-08 14:50:03 -05:00
test_erdos_renyi_4primitive.py test: 4-primitive framework validated on Erdős–Rényi random graphs 2026-05-08 14:50:02 -05:00
test_erdos_renyi_4primitive_results.json test: 4-primitive framework validated on Erdős–Rényi random graphs 2026-05-08 14:50:02 -05:00
test_erdos_stone_4primitive.py test: 4-primitive framework applied to Erdős–Stone Theorem 2026-05-08 14:50:03 -05:00
test_erdos_stone_4primitive_results.json test: 4-primitive framework applied to Erdős–Stone Theorem 2026-05-08 14:50:03 -05:00
test_erdos_straus_4primitive.py test: 4-primitive framework applied to Erdős–Straus Conjecture 2026-05-08 14:50:02 -05:00
test_erdos_straus_4primitive_results.json test: 4-primitive framework applied to Erdős–Straus Conjecture 2026-05-08 14:50:02 -05:00
test_erdos_szekeres_4primitive.py test: 4-primitive framework applied to Erdős–Szekeres Theorem 2026-05-08 14:50:02 -05:00
test_erdos_szekeres_4primitive_results.json test: 4-primitive framework applied to Erdős–Szekeres Theorem 2026-05-08 14:50:02 -05:00
test_erdos_turan_4primitive.py test: 4-primitive framework applied to Erdős–Turán Conjecture 2026-05-08 14:50:02 -05:00
test_erdos_turan_4primitive_results.json test: 4-primitive framework applied to Erdős–Turán Conjecture 2026-05-08 14:50:02 -05:00
topological_device_plan.json collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
topological_device_plan_with_specs.json collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
use_provers_to_fix_q32_32.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
VALIDATION_REPORT.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
VERIFICATION_PROTOCOL.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
virtual_fpga_system_test.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
virtual_fpga_system_test_report.json collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
WAVEPROBE_FAMM_INTEGRATION_SUMMARY.md collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
waveprobe_famm_output.json collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
waveprobe_manifold_famm_preshaper.py collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00